An instance of the influence of Anjou construction upon the neighboring

territory, as well as of the relationship between this Gothic style and

the Romanesque school of Perigord, may perhaps be seen in the Old

Cathedral of Salamanca in Spain.[167] Here the three western bays of the

nave are covered with ordinary domes but with diagonal ribs beneath

them, while the two remaining bays have regular domed up Anjou vaults.

The date of this cathedral, cir. 1120-1178, may, perhaps, explain this

peculiar combination as being due to an Anjou-Gothic influence

displacing one of Perigord-Romanesque, in much the same manner as such

an influence displaced the Perigord-Romanesque architecture of western

France.

SQUARE NAVE BAYS OUTSIDE OF LOMBARDY AND ANJOU

[Illustration: FIG. 21.--ANGERS, SAINT SERGE.]

Besides its use in Lombardy and Anjou, the square nave bay with four

part cross-ribbed vaults, was employed to some extent in other parts of

Europe throughout the Gothic period.[168] Some of these are churches

without side aisles, but aisles are more commonly found, divided into

rectangular bays corresponding in number to those of the nave. Of the

single naved churches, San Francesco at Assisi,[169] is a good example.

Although dating from 1236-1259, its vault ribs are still heavy and

almost square in section, as if derived from Lombard prototypes. But

they differ in being of pointed section and in not giving to the vaults

a domed up crown. In this they would seem to be examples of French

influence upon Lombard tradition.

SQUARE NAVE AND RECTANGULAR AISLE BAYS

An early church with square nave bays and ribbed vaults over rectangular

bays in the side aisles (Plate I-b), is to be found at Bury (Oise)

(Fig.

[Illustration: FIG. 22.--BURY, CHURCH.]

22). It probably dates from about 1125, and is an important monument of

the Transitional period. Its nave vaults are quite highly domed and in

this respect seem somewhat Lombard, but their pointed arches and awkward

construction indicate an effort on the part of the builders toward

reducing this doming and a dawning consciousness of the value of the

pointed arch in the construction of ribbed vaults. This is further shown

in the side aisles. Because of the rectangular shape of the bays, the

problem was presented of getting three sets of ribs of different span to

rise to the same or practically the same height. Not being thoroughly

familiar with the flexibility of the pointed rib, the builders at Bury

were naturally somewhat clumsy in its use. Thus, the diagonals were made

segmental in elevation to lower them to the level of the pier arches,

while masonry was piled on the crown of the transverse ribs, or their

voussoirs widened, to bring them up to the level of the vault

panel.[170] A few such experimental steps as these at Bury, were all

that were necessary to give the builders a mastery of the use of the

pointed arch in ribbed vaulting.

RIBS WITH CARYATID SUPPORTS

[Illustration: FIG. 23.--BURY, CHURCH.]

But there is another feature of the side aisle vaults which is worthy of

note before turning to the more developed churches which resemble Bury

in their arrangement of vaulting bays. This is the use of small caryatid

figures which appear at the springing of the diagonal ribs (Fig.

23).[171] These would seem to serve a purely decorative purpose, perhaps

to distract attention from the great size of the ribs behind them, or to

give an apparent lightness to the vault itself by seemingly placing its

burden upon such insignificant shoulders, or more probably still, the

figures served to break the transition from shaft to rib by concealing

the impost of the latter. Whatever their explanation, other examples

besides those at Bury are to be seen. Of these, the angels--now badly

mutilated--at the base of the ribs in the narthex of Saint Ours at

Loches (Indre-et-Loire) (Fig. 24)[172] are especially interesting, and

perhaps account for the tiny figures employed at the springing of the

ridge ribs in a number of churches in Anjou, such as Angers, Saint Serge

(Fig. 21), as well as for the larger figures in the apse of Notre

Dame-de-la-Couture at Le Mans (Fig. 20).[173] It may even be through the

influence of such figures as these that grotesques were used to support

the small shafts in the arcade of the triforium passage in the cathedral

of Nevers (Nièvre) (Fig. 25).

[Illustration: FIG. 24.--LOCHES, SAINT OURS.]

SQUARE NAVE AND RECTANGULAR AISLE BAYS CONTINUED

[Illustration: FIG. 25.--NEVERS, CATHEDRAL.]

Returning to the churches later in date than Bury but vaulted on the

same plan, it will be found that there are but few examples in France,

an interesting fact for which an explanation will later be

attempted.[174] The lower story of the Sainte Chapelle at Paris (cir.

1250) furnishes one of the rare examples, but here the nave and aisles

are of the same height and so do not exactly resemble the system at

Bury. Because of their narrowness, the side aisle vaults of the Sainte

Chapelle did not furnish proper abutment for those of the nave, and the

builders found it necessary to add tie-rods and even transverse half

arches forming veritable interior flying buttresses at about half the

height of the transverse ribs. This is, however, a most unusual

arrangement.

It was in Italy more than elsewhere that the method of square nave and

rectangular aisle bays was adopted. Many of the largest churches of the

Gothic period in that country were thus constructed. Among these, Santa

Maria Novella at Florence (end of the thirteenth and beginning of the

fourteenth centuries) has nave bays which are practically square, while

the cathedral of Santa Maria del Fiore (fourteenth century) in the same

city is a much larger church more strictly following the type.[175] This

vast edifice presented such a vaulting problem that the builders did not

hesitate to resort to the use of iron tie-rods to counteract the

thrusts,--a subterfuge common enough in Italian architecture, of which

the church of the Frari at Venice (after 1250) presents an exaggerated

example.

LIGHTING PROBLEMS IN NAVES WITH SQUARE BAYS

Several factors enter into the lack of popularity of the vaulting system

just described especially in the more northern countries, but the

fundamental one would seem to be the difficulty of properly lighting

churches thus covered. If an examination be made of the churches with a

single broad nave and no aisles it will be seen that in Italy, where a

comparatively small proportion of window space was necessary, the

builders were content with a single window in each nave bay as for

example, in San Francesco at Assisi. In France, on the other hand, the

light thus admitted would have proved inadequate, and in such churches

as the cathedral of Angers (Fig. 19) and Sainte Radegonde at Poitiers

two windows were introduced under each wall rib. This is, however, an

awkward arrangement because these windows do not properly fill the wall

space, and though this is better accomplished by adding a circular

window above the upright pair as was done in La Couture at Le Mans (Fig.

20), still the effect even then is not satisfactory and much solid wall

which might be utilized for windows is wasted. Moreover, in a church

with side aisles, the clerestory arrangement was still more troublesome

since important structural difficulties were involved. To raise a great

four part vault high above the aisles in order to obtain a large

clerestory was no easy task because of the excessive thrust which such a

vault exercised at its four points of support. In Italy, where the

amount of light required was not great, a very low clerestory with

small, circular windows, one to each bay, was all that was essential,

and so in such churches as Santa Maria Novella and the cathedral at

Florence the nave vault was placed at a point only slightly above the

vaults of the aisles, and its thrusts offset by simple ramping walls

beneath the side aisle roofs. Such a church in France would have been

inadequately lighted, and even if a greater structural skill permitted

the French to erect loftier clerestories than those in Italy, there

remained the difficulty of arranging the windows to get the maximum of

light and the best appearance. A single opening occupying the entire

space beneath the wall rib would have been all head and no jamb. One

upright window would have admitted too little light for a large nave,

and two windows near together not only left a great deal of wall space

unused but were most awkwardly placed in churches where one nave bay

corresponded to two bays in the aisles as in Le Mans cathedral,[176]

because they were not on an axis with the arches of the nave arcade. On

the other hand, if placed on this axis, the resulting windows were

necessarily of small size like those in such Rhenish churches as the

cathedral of Speyer where a second stage of windows has been added one

in the center above each lower pair in a far from satisfactory manner

since it brings a window above the intermediate pier.

ORIGIN OF SEXPARTITE VAULTING

In view of these facts it is at least a reasonable assumption that the

lighting problem had much to do with the discarding by the French

builders of the simple square four-part nave vault. As a matter of fact,

however, they did not exactly discard it, but evolved from it a vault in

six cells, which, while it still retained the old division of the nave

into square bays, each corresponding to two bays in the aisle, at the

same time permitted the uniform treatment of these in elevation and made

possible larger windows,--one to each aisle bay,--symmetrically placed

and, in the course of time filling the entire space beneath the wall

ribs. This six-part ribbed vaulting would seem to have originated early

in the twelfth century, in the French province of Normandy. This

province has already been mentioned as the center of a Romanesque

school, which extended over the greater part of England after the

conquest of 1066, and reached its height during the reign of Duke

William, the Conqueror (1035-1087), when a vast number of churches were

constructed, many of them of large size. These were in general wooden

roofed throughout, though, occasionally, as has been shown,[177] groined

vaults were used in the choir or aisles, or both. Toward the beginning

of the twelfth century, however, the Norman builders determined to vault

the naves of a number of these churches, among them the two abbeys at

Caen, and the result of this determination was the evolution of the true

and false six-part vault.

Like the Rhine provinces, Normandy had always been strongly influenced

by the methods of building developed in Lombardy. Whether this was due

to the presence in Normandy of such men as Lanfranc,--who was born in

Pavia in 1005 and became successively prior of Bec (1045-1066), abbot of

Saint Étienne at Caen (1066), and archbishop of Canterbury (1070-1089),

and who may have kept Normandy closely in touch with Lombardy,--or

whether there were other more powerful influences, it is impossible to

state, but in any event the architectural analogies between the two

schools are striking. This is especially true of the type of shafted

pier most frequently found in Normandy, and of the alternate system of

light and heavy supports, which, while it does not characterize all the

churches of the school, is found in many of them. Thus when the Norman

builders determined to vault their great churches at Caen, one would

naturally expect to find them turning to Lombardy for a method of vault

construction, especially since Sant’ Ambrogio at Milan had been

successfully completed at least a quarter of a century before their

determination was made. And in fact this is probably what they did. But

there were certain differences in structure between the churches of the

two schools which made it impossible for the Norman builders to adopt

unchanged, the heavy square, domed-up, cross-ribbed vaults of Lombardy.

The first of these differences lay in the fact that the Norman churches

were originally built for wooden roofs,--which may even have been in

place, in many cases, when the vaults were begun,--while the Lombard

churches were planned from the ground for their vaulting. The second

difference was, that the Norman interior system possessed a clerestory

window of considerable size centered above each of the arches opening

into the side aisles,--that is two in each wall of what would be a

square nave bay,--while the Lombard churches either had no clerestory at

all, as at Sant’ Ambrogio, or one in which the windows were small and

there was no attempt to center them as in San Michele at Pavia.

It was natural that the Norman builders should have preferred to

preserve their interior and exterior elevations as nearly as possible as

they were when only a wooden roof was used, both to avoid the expense

which would be involved in reconstruction and to preserve the large

clerestory so essential in a northern country. To vault these churches

and at the same time save this clerestory would seem to have been the

problem, therefore, which the builders set themselves to solve. That

they attempted to use the four-part vault in its solution will be seen

from an examination of the seven vaulted churches[178] still remaining

in which the old system of square nave bays is found, for in four of

these a variant of four-part ribbed vaulting was employed while in the

other three a new method was developed out of the four-part type.

A study of the two abbeys at Caen will illustrate this. Of the two,

Saint Étienne or the Abbaye-aux-Hommes (cir. 1064-1066) would seem to be

the earlier as far as its vaulting is concerned and this would seem to

date from about 1135. In its nave (Fig. 26) the alternate system of

supports is employed, though all the piers are of almost the same

section with a single shaft carried up the inner face. The aisles are in

two stories and there is a clerestory with a single window in each bay.

The nave was originally covered with a wooden roof. With this elevation

existing before the church was vaulted it is quite possible to account

for the form which this vaulting assumed. The first step must have been

to divide the nave into square bays by transverse arches,--assuming that

these were not already in place. The springing of these arches must

naturally have been governed by that of those which opened into the

crossing, and the level of their crowns, by the wooden timbering of the

roofs,--which may well have been in place when the vaults were built.

The result was that these transverse arches had to rise from a point as

low as the clerestory string-course and could only be a slightly stilted

semicircle in elevation. If the

[Illustration: FIG. 26.--CAEN, SAINT ÉTIENNE.]

bays thus constituted were to be covered by four-part vaults of Lombard

type, the next step would have been to erect diagonals of semicircular

section thus doming up the vault at the crown, but at Caen such

diagonals would have rendered necessary an entire change in the

timbering of the roof because their intersection would have risen above

the level of the trusses. Hence segmental diagonals were substituted.

Upon this skeleton of ribs, it would have been quite possible to place a

four-part vault, but the wall intersection of its panels would have cut

off the heads of the clerestory windows. Several methods could have been

used to avoid this. In the first place the severies could have been so

shaped as to cut the walls in a curve above the window, but this would

have given a flattened form to the panel and rendered it most difficult

both to construct and to support when in place. A second expedient would

have been to reduce the size of the windows but this, besides cutting

off most necessary light would have utterly destroyed the splendid

proportions between the horizontal divisions of the Norman interior. A

third method would have been to move the windows toward the intermediate

pier, but this would have destroyed the axis line of the aisle,

triforium, and window arches, and was wisely rejected. Lastly the

imposts of the ribs could have been raised, but even this would have

introduced enormous structural changes: first, because it would have

rendered necessary a change in the timbering, or else raising the entire

roof of the church; second, because it would have placed the new impost

out of level with the crossing arches; third, because it would have

greatly increased the thrust of the vault, already most difficult to

meet because of the segmental form of the diagonals and the lack of

extensive knowledge of buttressing principles on the part of the Norman

builders.

To avoid all these difficulties and still retain the windows, a new

method of vaulting was evolved. An intermediate transverse arch was

added meeting the diagonals at their intersection, and above the

triangular window cells thus formed, separate vault panels were

constructed (Fig. 26). The line of the window heads was thus left

undisturbed and the six-part vault created (Plate I-c).

FALSE OR PSEUDO-SEXPARTITE VAULTING

Of course, the foregoing suggestion that the six-part vault was evolved

from four-part vaulting is largely conjectural, but an examination of

other churches in Normandy would seem to show that the Norman builders

almost always preferred to use the simple four-part vault in a slightly

modified form whenever it was possible to do so and still retain the

clerestory windows, rather than to employ the developed six-part type.

This modified four-part vault may properly be termed false or

pseudo-sex-partite. That it was not a mere prototype of the more

developed six-part form would seem to be shown by the fact that it was

built in churches both contemporary with, and subsequent to those with

true six-part vaults.

A good example of pseudo-sexpartite vaulting, for comparison with that

of Saint Étienne (Fig. 26), is afforded by La Trinité or the

Abbaye-aux-Dames at Caen (Fig. 27). It would seem probable that the

upper portions of this church were extensively rebuilt at the time when

vaulting was added. In this rebuilding, concealed flying-buttresses were

constructed beneath the side-aisle roofs, and these, together with the

solid wall which

[Illustration: FIG. 27.--CAEN, LA TRINITÉ.]

replaces the open triforium gallery of Saint Étienne, made it possible

to raise the level of the transverse arches of the vaulting to a point

considerably above the clerestory string-course. Furthermore, since the

wooden outer roof was probably built after the vaults, it was possible

to use diagonals whose crowns were higher than those of the transverse

arches, and still place them beneath the roof trusses. With such a

skeleton of ribs as a basis, the builders proceeded to erect a four-part

vault over each nave bay, or, in other words, enclosing two side aisle

arches. Because of the higher impost of the vault ribs, the wall

intersection of the vault cells easily cleared the window heads.[179]

Curiously enough, however, the builders connected the intermediate piers

with a transverse arch having a flat wall built upon it to the level of

the crown of the longitudinal vault cells (Fig. 27). There would seem to

be several explanations of this innovation. In the first place the pier

system of La Trinité is regular, not alternate, and a greater symmetry

was obtained by having corresponding transverse arches connecting each

pair of opposite piers. Moreover such arches had been used before 1114

in the church of Saint Georges at Boscherville, and quite possibly

elsewhere as well,[180] beneath a simple wooden roof, thus tying

together the lofty clerestory walls. In the second place, such arches

had already been introduced at Saint Étienne, though for a different

reason, as has been shown, and must have proved of value in keeping the

keystone of the diagonals rigidly fixed, besides having become a

characteristic of what was perhaps the major church of the school; and

in the third place, such an arch with its wall above aided materially

both in carrying a portion of the weight of the vault to the alternate

piers and in affording permanent centering, which was needed in Normandy

even more than in Lombardy because the Norman vault crown was never more

than slightly domed up.

Once introduced, this pseudo-sexpartite vault was not restricted to La

Trinité but was, as has been said, employed in no less than four of the

seven square-bayed Norman churches. At Ouistreham (Calvados)[181]

(vaulted cir. 1160), the impost was raised as in La Trinité and pointed

transverse arches were used, thus increasing the curve of the diagonals

and improving the stability of the vault. More interesting still,

however, are the two churches of Bernières-sur-Mer,[182] and Saint

Gabriel (Calvados)[183] (both vaulted cir. 1150), for in them the

builders have clung so tenaciously to the pseudo form in preference to

the true that they have actually moved the windows of each bay toward

the intermediate pier in order to use this method without raising the

imposts. The latter is particularly interesting because of the extreme

flatness of its diagonals for which the intermediate transverse arches

must certainly have proved an added support.

The preference of the Norman builders for this pseudo-sexpartite vault,

even to the extent of moving the windows out of center to make its use

possible, may find a further explanation than any yet given in the

simplicity of its construction. A comparison of one window severy of

Saint Étienne (Fig. 26) with one at La Trinité (Fig. 27) will illustrate

this point. In the former the surface of the vault is warped on either

side of the window, while in the latter, the stone courses run almost

directly back to the wall, so that the line of intersection is

approximately the projection of one-half of the diagonal rib. Of course

this second surface was far easier to calculate geometrically and could

be put in place by less skillful builders than the warped surface

required. It had, however, the fault of being in ill accord with the

curve of the window head, but, on the other hand, it possessed the

structural advantage of distributing the thrust of the vault over a

large amount of exterior wall. This might seem a fault rather than an

advantage, were it not that in such a primitive system as that of

Normandy, thickness of wall was the greatest factor in abutment and

thrusts which were widely distributed were thus more easily met than

those which were concentrated within narrow perpendicular limits.[184]

The advantage of the warped system in thus concentrating the thrusts

was, in fact, realized only when inert stability which forms the keynote

of Norman work gave way to the carefully balanced thrusts and

counter-thrusts of Gothic architecture.

The little church of Le Petit Quévilly (Seine-Inférieure)[185] (cir.

1156) would seem at first to disprove this Norman preference for

pseudo-sexpartite vaults. The imposts of its arches are sufficiently

high to permit of such a type, yet the real six-part vault was employed.

The explanation of this would seem to lie in the geographical situation

of the church, for it is not in Calvados, like the other examples, but

in Seine Inférieure near Rouen, or in other words on the border of the

Ile-de-France, where the six-part vault had been adopted with enthusiasm

and used as early as 1140, or some fifteen years previous to the

building of Petit-Quévilly, in the large abbey church of Saint Denis.

It is also difficult to explain the use of the true form in the seventh

of the vaulted churches, which is that of Creully (Calvados),[186] but

the fact that it has the same low imposts as Saint Étienne at Caen

combined with the evident purpose of the builders to keep the windows in

the center of the bays may perhaps furnish an explanation of its

appearance here.

DEVELOPMENT OF SEXPARTITE VAULTING

The true six-part vault, as used in Saint Étienne, was far from being

perfect. In the first place, it possessed a number of inherent

structural faults. These lie chiefly in the unequal distribution of

thrusts, and the unequal size of the panels into which the vault is

divided. From an aesthetic point of view, two other faults might be

added: first, the decrease in the apparent length of the nave, due to

the fact that it was divided into a few large bays, instead of twice as

many smaller ones; and second, the fact that the crowns of the vault

cells above the windows do not run out perpendicularly from the

clerestory wall but at an awkward angle, thus greatly injuring the

symmetry of the bays. Yet in spite of these drawbacks, which were common

to all six-part vaulting, this system had a long period of popularity.

There are, however, certain structural weaknesses in these early Norman

vaults which were largely due to lack of experience on the part of the

builders, and not to the form of the vaults themselves. Wall ribs were,

for example, omitted, and the diagonals were made of segmental section,

thus rendering unnecessarily severe the thrusts of the vaults. Moreover,

such a church as St. Étienne was not planned from the ground for

vaulting and the piers had not the proper arrangement of shafts. Last of

all, the intermediate arches were of a rather ugly, stilted character,

possibly so constructed with an eye to a better distribution of light,

but in any event presenting an awkward appearance. All these faults were

gradually overcome in the Transitional and Early Gothic churches of the

Ile-de-France.

SEXPARTITE VAULTING IN THE ILE-DE-FRANCE

That it should have been this province which favored the six-part system

is most curious, for at a date almost contemporary with St. Étienne at

Caen, ribbed vaults of rectangular plan had probably been constructed

over the naves of Saint Étienne at Beauvais and the abbey church at

Saint Germer-de-Fly (Oise) (cir. 1130-40). That this method was

abandoned in most of the remaining Transitional churches would seem to

have been due to the fact that the vaults of Saint Étienne at Beauvais

fell in, and those of Saint Germer did not prove very secure.[187] Such

builders as the Abbot Suger of Saint Denis, therefore, may very

naturally have looked to Normandy for a method of vaulting, since the

vaults of Saint Étienne at Caen had at least remained in place.

Whatever the cause of its introduction into the Ile-de-France may have

been, the six-part system was used at Saint Denis (Seine) (1140-1144)

and soon became the favorite method throughout the neighboring region.

Unfortunately Saint Denis and two other important churches of the

Transition, the cathedrals of Senlis (Oise) (cir. 1150) and Noyon (Oise)

(cir. 1140), which would undoubtedly have illustrated the progress in

six-part vaulting, no longer have their original vaults, and the

cathedral of Sens (Yonne) (1140-1168) (Fig. 28) remains as perhaps the

most important example of the early developed type.[188] Its vaults show

the great advance made in construction since the completion of Saint

Étienne at Caen. The diagonals are semicircular instead of segmental

arches, and the transverse ribs are pointed and all of similar curve,

giving a more symmetrical appearance and greatly reducing the thrusts.

Furthermore the piers are profiled from the ground according to the load

which they are to carry, and, last of all, a highly stilted wall rib is

added over each clerestory window, completing the skeleton of the vault

and making possible a larger expanse of glass and more satisfactory

illumination for the interior. Of course, the use of the flying

buttress, which had been introduced a short time before Sens was built,

contributed enormously to the advancement of vault construction and in

large measure explains such an improved form of vaulting as this is. In

fact, a heavy clerestory wall was no longer essential to the support of

the vault and it was only the fact that a large expanse of glass was not

safe from the pressure of the wind, which prevented the clerestory

windows from occupying the entire

[Illustration: FIG. 28.--SENS, CATHEDRAL.]

space beneath the formeret. With the invention of tracery, what little

wall remained, was to disappear. A further advance is shown in the

decidedly stilted form of the wall ribs, which (Fig. 28) concentrate all

the thrust of the vault upon a very narrow strip of exterior wall where

it was admirably met by the flying-buttress.[189] In fact, the system at

Sens might be considered perfected were it not for the unnecessary size

of the ribs, especially those running transversely. It remained for the

builders of the cathedral of Notre Dame at Paris (begun 1163) to reduce

all the ribs to the same size, and for the builders of the cathedral of

Bourges (Cher) (begun 1172), still further to reduce all but the

transverse arches and to employ the vault upon a scale even greater than

that of Paris. In fact, Bourges marks the high water mark of this system

of vaulting and by the beginning of the thirteenth century it was in

general, entirely given up[190] in favor of the four-part cross-ribbed

vault of rectangular plan, which regained its supremacy in the

Ile-de-France after the introduction of the flying-buttress with the

protection which this afforded against such a catastrophe as that which

probably befell Saint Étienne at Beauvais.

Although employed to a much greater extent in France[191] than

elsewhere, almost every country in Europe possesses a number of churches

with six-part vaults. Thus William of Sens introduced the system into

England, where it appears in Canterbury cathedral choir (1175) and later

in Lincoln transept[192] (cir. 1215). Italy possesses many examples,

among them the large churches of San Francesco at Bologna (cir. 1240),

the Certosa of Pavia (1396), and the small church of Corneto-Tarquinia

(Roma)[193] where the vault curiously enough appears over two bays of

rectangular plan which divide what would otherwise be practically a

single square nave bay.[194] Examples in other countries might be cited,

but in no case would they differ materially from the French prototypes.

VARIANTS OF SEXPARTITE VAULTING

The fact that six-part vaulting declined rapidly in favor toward the

beginning of the thirteenth century, and thus before the era of

complicated vaults had begun, probably explains the few variants from

the standard type. Of these, the simplest consists in the addition of a

ridge rib along the longitudinal vault crown. This appears in one bay of

the choir of Lincoln cathedral[195] (Fig. 35), where the crown line is

horizontal, and in the great transept of the same church where it rises

and falls in accordance with the doming up of the central keystone. The

small church of Saint Jacques at Reims (Marne) (1183) (Fig. 29) presents

a still better example of this irregular ridge rib. The vault of Saint

Jacques would seem from its general appearance to be based upon Anjou

models and it is not surprising to find its possible prototype in the

church of La Trinité at Angers (Fig. 30). The reason for the employment

of the extra rib is probably twofold: first, to lessen the size of the

transverse panels; and second, to render the arrangement of the ribs and

severies more symmetrical. In England, it is quite possible that it

served as a cover-joint as well, but in France this would not seem to

hold true, at least in La Trinité, where the stone courses are laid with

as much care as those in the simple four-part vaults of Angers cathedral

(see Fig. 19).

[Illustration: FIG. 29.--REIMS, SAINT JACQUES.]

La Trinité at Angers (Fig. 30) is also an important variant of the

six-part vault because the impost of its intermediate rib is raised to a

considerably higher level than that of the principal transverse arches

and the intermediate rib itself is highly stilted. This would seem

further evidence that the six-part vault was evolved from the four-part

vault in an effort to make the arrangement of the windows more

symmetrical in a single nave bay corresponding to two bays in the

aisles;[196] for if La Trinité with its series of side chapels, two to

each nave bay, had been vaulted in the usual Anjou style and the windows

left as they now stand on the axis of each chapel arch, their heads

would either have been cut by the wall line of a four-part vault or

would have appeared awkwardly placed beneath it. The addition of an

intermediate transverse arch and the conversion of the vault into

sexpartite form restored the symmetry of piers, arches, and windows. In

order, however, to obtain as much light as possible and to produce the

effect of square nave bays, these intermediate transverse ribs were

stilted and their imposts raised. Nor was this stilting confined to

Anjou. It appears a number of times elsewhere often in churches where

the ridge rib was not employed for example, in the cathedrals of Bremen

and Limburg[197] in Germany, and in those of Ribe,[198] and Viborg in

Denmark.[199]

[Illustration: FIG. 30.--ANGERS, LA TRINITÉ.]

The church of the Certosa of Pavia in Italy (1396) has six-part vaults

of similar type but presents a curious arrangement of square nave bays

corresponding to rectangular bays in the side aisles (Plate I-d).[200]

The intermediate transverse arches, therefore, rise from corbels above

the crowns of the side aisle arches, a fact which explains their higher

imposts. Why such a vault should have been used can again be explained

by the desire to obtain the best possible arrangement of windows.

Five-part vaults had already been used in the aisles of the Certosa to

get square flanking chapels, and it was natural that the builders should

have wished to have a clerestory window corresponding to each exterior

bay of the church. The fact that square nave and rectangular aisle bays

were used at all would seem to have been due to the Italian fondness for

this system which caused the least possible obstruction of the church

interior by piers. The only curious feature is, therefore, the use of

the six-part, instead of the more natural four-part, vault.

A somewhat similar arrangement with the substitution of two four-part

vaults for the six-part vaults of Pavia is to be seen in the cathedral

of Magdeburg,[201] where the same combination of nave and aisle bays

occurs. The builders, like those of Pavia, first subdivided the outer

longitudinal cells of the side aisle vaults by a half rib in order to

obtain two windows instead of one, which would necessarily be of rather

clumsy shape or of small size were it placed below the long, low wall

rib of a simple rectangular four-part vault. Then to make the nave bays

and clerestory windows correspond to those of the aisles in exterior

elevation, as well as to obtain better window space, they constructed

two rectangular four-part vaults over each square nave bay with their

intermediate transverse rib resting on corbels above the aisle arches

(Plate I-e).

EIGHT-PART VAULTING

There is one more important variant of the six-part vault which is

especially interesting and unusual. It appears in the church of Saint

Quiriace at Provins (Seine-et-Marne) (cir. 1160) (Fig. 31)[202] and

[Illustration: FIG. 31.--PROVINS, SAINT QUIRIACE.]

consists in a division of the nave into great square bays each

corresponding, not to two, but to three square bays in the side aisle

(Plate I-f). The divisions thus formed are covered by what is really an

eight-part vault, which is precisely like six-part vaulting except that

there are three instead of two window cells in either side of each bay.

Needless to say the immense size of the transverse triangular severies

thus created presented a structural problem of much difficulty, and it

is not surprising that such a vault was but seldom imitated,[203]

particularly as the great discrepancy in the size of the vault cells and

the awkward angles formed by their crowns give a decidedly unpleasant

appearance. Nevertheless, there is one instance, at least, in which this

system was not only imitated but transformed into a ten-part vault. This

was at Boppart, Germany,[204] where the thirteenth century church has

vaults with four window cells and but a single pair of diagonals. To

break up the two remaining triangular severies, added surface ribs were

introduced (Plate I-g).

RECTANGULAR NAVE BAYS WITH FOUR-PART CROSS-RIBBED VAULTS

While the builders of Normandy were developing the sexpartite system

just discussed, those of the Ile-de-France were experimenting with the

simple four-part cross-ribbed vault of rectangular plan (Plate I-h). As

in Normandy, the earliest churches of the province were in the main

wooden roofed basilicas like the Basse-Oeuvre at Beauvais. When groined

vaults first appeared in the Romanesque period, they were generally

employed only in the side aisles, as at Morienval,[205] and if one may

judge from these vaults, which have unfortunately been rebuilt, they

were of slightly domed up section somewhat like those of Lombardy and

the Rhenish provinces. Toward the beginning of the twelfth century,

however, when the central power had been greatly strengthened under

Louis VI. (1108-1137), there began a marked architectural advance which

was destined to render this backward province the most important of all

in the development of Gothic architecture. One of the earliest churches

to mark this advance was Saint Étienne at Beauvais (probably early

twelfth century) (Fig. 32), which, if one may judge from the form of the

piers and the ribbed vault of the side aisles,[206] was planned from the

foundation for vaulting throughout. Unfortunately the original vaults of

the nave, if such existed, are no longer in position for they either

gave way from lack of support, a natural supposition since they had no

other abutment than the weight of the clerestory walls, or else they

were so injured by the fire of 1180 that it was necessary to replace

them by the existing vaults of the late twelfth century. These, while

they do not make up for the loss of their predecessors, are nevertheless

important because of their early date. They are antedated, however, by a

number of very important churches which still retain, in part at least,

their original vaulting.

FIG. 32.--BEAUVAIS, SAINT ÉTIENNE.

IRREGULAR FOUR-PART VAULTING OF DURHAM CATHEDRAL

The first of these is the English cathedral of Durham. The date of its

vaults is still the subject of a decided controversy, but whether they

were built between 1093 and 1133 as Bond,[207] Rivoira,[208] and

Moore[209] believe, or are later than those of Saint Denis, which is the

claim of Lasteyrie,[210] they are of sufficiently early date to be

important in a

[Illustration: FIG. 33.--DURHAM, CATHEDRAL.]

discussion of rectangular four-part vaulting. Those over the nave (Fig.

33) are especially interesting and furnish a unique variant of the

standard type. It was the apparent intention of the builders to roof the

nave with wood and for this purpose heavy transverse arches were

constructed between the alternate piers. When vaulting was determined

upon, the nave was therefore already divided into square bays each

containing two clerestory windows on a side. To vault these bays the

builders might naturally have been expected to adopt the Lombard system

of simple four-part vaults, but here in Durham, as in Saint Étienne at

Caen, the impost level of the transverse arches was so low that a

four-part vault would have made impossible the retention of the windows

already in position above each nave arch. As these were absolutely

essential in the north of England for lighting purposes, and also most

important in preserving the symmetry of the bays, a change either in

their size or position would have proved impractical. The six-part vault

was the Norman method of solving a similar problem. But the builders of

Durham invented a new system, made up of two rectangular cross-ribbed

vaults in each bay, their intermediate supports afforded by corbels, and

their alternate transverse arches omitted (Plate I-i). This omission of

the intermediate rib gives a very unusual character to the vault but it

preserves the alternate system with square nave bays so popular in

Norman work, and at the same time has a great advantage over the

six-part vault in that the transverse crown line of the window cells is

perpendicular to the outer wall. The panels are therefore more

symmetrical in elevation and the thrusts are more evenly distributed

from pier to pier. The large central severy, however, afforded a

difficult surface both for construction and support, and it is not

surprising that the system was not repeated. As in the early ribbed

vaults at Caen, wall ribs were not employed at Durham, and the abutment

was provided only by flat pilasters and concealed flying buttresses,

some of full and some of half arched form.[211]

EARLY FOUR-PART RIBBED VAULTS IN NORMANDY

That the rectangular four-part system of vaulting was developed in

Normandy, as well as in England and the Ile-de-France, and very possibly

independently of both, is proved by the early twelfth century abbey

church of Lessay (Manche) (cir. 1130).[212] If the vaults of Lessay are

an independent development it is hardly possible to see in them anything

else than another effort to vault a church with square nave bays and yet

provide the best possible vaulting to fit above the windows. A glance at

the choir[213] will show that the alternate system was here employed

just as in Saint Étienne at Caen, yet the builders introduced two

four-part vaults instead of one of six-part type in each bay.[214] The

transverse arches are still semicircular and the vault is somewhat

rudimentary. The system as a whole may be considered as a fourth

method[215] of the Norman builders to preserve their clerestory intact

and still vault their churches. A slight advance is shown in the vaults

at Pontorson (Manche) (middle of twelfth century). This is, however, a

small church without side aisles and its vaults are in almost square

bays with pointed transverse arches and considerably domed up at the

crown. Wall ribs are still lacking as at Durham and Lessay.

TRANSITIONAL FOUR-PART RIBBED VAULTS IN THE ILE-DE-FRANCE

The abbey church of Saint Germer-de-Fly (Oise) (cir. 1140), which still

retains its original vaults in the choir and two eastern bays of the

nave, presents another and perhaps more important example of rectangular

four-part cross-ribbed vaulting. Its structural arches are of pointed

section, and the piers and walls are strengthened by concealed

flying-buttresses beneath the wooden roof of the triforium.[216] These

are similar to those which have already been noted in La Trinité at Caen

and in the nave of Durham,[217] but the vaults are superior in

construction to those at Durham and are also provided with transverse

arches between each rectangular bay. With the aid of this concealed

buttress and the retention of the heavy Romanesque walls and small

openings the vaults of Saint Germer were kept from falling, and it was

doubtless this fact which led to the extension of the four-part system

until it rivaled and at length became more popular than the six-part

vaulting imported from Normandy and used at exactly the same period in

the church of Saint Denis. A number of elementary features still

remained at St. Germer, however. The transverse arches are but slightly

pointed in section, the ribs are unusually heavy, and the diagonals of

the choir bay are supported upon corbels[218] showing that the shaft

arrangement was not yet in accord with the ribs to be carried.

A gradual development of the flying-buttress, and of the compound pier,

a reduction in the size of the ribs,[219] and many other structural

refinements rapidly followed one another in the period subsequent to the

construction of Saint Germer and led to the perfection of rectangular

four-part vaulting. The cathedral of Soissons (Aisne) (cir. 1212 on)

(Fig. 67), for example, shows a considerable structural advance over

Saint Germer. Its ribs are more decidedly pointed though still somewhat

heavy and there is no hesitation in raising the impost of the vault far

above the clerestory string-course, since its thrusts are easily met by

exterior flying-buttresses.

DEVELOPED FOUR-PART RIBBED VAULTS

It is in the cathedral of Amiens (beg. 1218) (Fig. 69), however, that

the four-part vault reaches its most daring if not its most perfect

form. Here the builders constructed a vault similar to that of Soissons,

but rising over one hundred and forty feet from the pavement. Its ribs

are perfectly proportioned and finely moulded and the buttress system is

completely developed. One awkward feature does, however, appear in the

fact that the builders, perhaps, in order to concentrate the thrusts of

the vaults upon the narrowest possible strip of outer wall, have made

the wall intersection of the window severies follow an irregular curve

which does not correspond to that of the wall rib in the portion from

the impost to a point near the haunch. In spite of this defect, the

cathedral of Amiens may well be considered as marking the highest

development of rectangular ribbed vaulting. A study of other Gothic

churches will disclose few, if any, improvements, either in appearance

or construction, and many of the finest closely resemble this

masterpiece.

THE CURVE OF VAULT RIBS

Such a study will, however, show a decided difference in the elevation

of the transverse ribs and consequent shape of the vaults, which is

worthy of some notice. If, for example, a triangle be inscribed beneath

a number of these transverse arches, it will be found that the angles

inside its base vary from about fifty degrees in Saint Germer-de-Fly,

Rouen cathedral and Beverley Minster;[220] to fifty-five degrees in

Soissons, Amiens, Salisbury, and Milan cathedrals, and Westminster

Abbey; and even to sixty degrees in the cathedrals of Cologne and Reims.

Moreover there is a great difference in the curve of these same

transverse ribs. Those in Saint Germer, Beverley, and Rouen closely

approach a semicircle, those in Amiens and Salisbury are much more

pointed, but made up of two arcs without, however, a long radius with

the resulting flattened appearance to be noted at Cologne and Reims and

more decidedly at Milan. All this would seem to indicate that the

elevation of these ribbed vaults,--and this is true of six-part and

complex vaults as well,--was largely a matter of individual taste with a

tendency to favor the form used at Amiens. The reason for the employment

of very sharp curves like those of Reims, Cologne and Milan, was

doubtless due to the appreciation on the part of the builders of the

fact that such curves greatly reduced the outward thrusts, rather than

to any idea of beauty of appearance to be gained, for in this they are

perhaps inferior to the less pointed examples.

RECTANGULAR FOUR-PART RIBBED VAULTS IN CHURCHES WITHOUT SIDE AISLES

[Illustration: FIG. 34.--ALBI, CATHEDRAL.]

The use of rectangular four-part ribbed vaulting was not confined to

churches with side aisles, but appears also in those with a single broad

nave. It is the method employed in the Sainte Chapelle at Paris (fin.

1248), where there are simple salient buttresses, and there is a

splendid example in the Cathedral of Albi (Tarn) (begun 1282) (Fig. 34),

where the nave has a very wide span and is flanked by chapels in two

stories between heavy pier buttresses which are thus enclosed in the

church in a truly Byzantine manner. In the smaller church of Saint

Nicholas at Toulouse these buttress chapels are in but one story and the

bays are more nearly square in plan, a compromise between the square and

rectangular systems which appears on an even larger scale in the

cathedral of Saint Bertrand-des-Comminges (Haute-Garonne) (cir. 1304).

As far as construction is concerned these vaults over a single broad

nave offer no advance over those in churches with side aisles, not even

requiring a scientific system of flying buttresses to offset their

outward thrust. Their only importance lies in the very broad space

sometimes covered by them.[221]

VAULTING WITH ADDED RIBS

The simple forms of ribbed vaulting just discussed were the ones most

frequently in use during the best Gothic period. But among certain

builders, there was a tendency even in the thirteenth century to

introduce additional ribs into the vaults, a custom which later gave

rise to a vast number of complicated vaulting systems especially in

England, Spain and Germany. Even to enumerate these would be almost

impossible and a description of each is out of the question, hence only

those combinations which were frequently employed, or which gave rise to

new types, will be discussed.

ORIGIN AND USE OF THE RIDGE RIB

Naturally enough the ridge rib was the first to be added to those

already constituting the four-part vault (Plate I-j). But the vaults

thus formed should be divided into two groups. The first most frequently

found in France and already discussed in connection with the churches of

Anjou,[222] is that in which the surface of each severy has a curved

crown and the rib follows this curve, with the object, probably, both of

subdividing the large rectangular bays, of marking with absolute

exactness the crown line, and of aiding in rigidly fixing the central

keystone, or even in the case of a six-part vault, of giving the same

apparent division to the transverse severies as is found in those

running longitudinally.

Though very similar to this first type, the second, which was developed

and most used in England, is different, in that the ridge line is here

[Illustration: FIG. 35.--LINCOLN, CATHEDRAL.]

perfectly horizontal, and the main purpose of the rib is to mark this

horizontal line with absolute exactness and to give, what Bond terms a

spine,[223] to the vault skeleton. In the earliest example in England,

the transept aisle of Ripon cathedral (cir. 1170),[224] the ribs are so

small as to be purely decorative. This leaves the choir of Lincoln

cathedral (begun 1192) (Fig. 35) as the first English example of

importance in which a true ridge rib appears. It is not yet absolutely

horizontal since there is a slight curve to each severy. Its presence

would seem to be due to the peculiar form of the vault, in which the

ribs enclosing the window cells do not meet at a common point of

intersection but at two points somewhat distant from each other along

the ridge line where each pair is abutted by a single rib running to the

nearest impost on the opposite wall (Plate I-l). This arrangement, which

was probably planned to increase the amount of centering in the large

transverse panels and thus render their construction easier,[225] gives

an extra keystone in each bay and it is quite possible that the ridge

rib was introduced in order to unite these intersections and fix them in

a straight line. It does not appear in the window cells where it would

of course have been at an awkward angle with the outer walls.

Once introduced into English architecture the ridge rib was destined to

play a most important part in its development. In the first place, it

provided an easy method of assuring an absolutely level and straight

ridge line and was thus especially welcome to English builders, who had

been trained in the construction of vaults which were never more than

slightly and often not at all domed up, and who were, besides, rather

inferior masons, and not particularly skillful in making their masonry

courses intersect in a perfect manner. In the second place, it furnished

admirable abutment for tiercerons or intermediate ribs,[226] which were

perhaps suggested by such a vault as Lincoln choir as being valuable

additions to the rib skeleton and were thereafter very generally used to

provide more permanent centering and to further reduce the size of the

vault panels.

It is, however, notable that a longitudinal ridge rib appears added to

simple four-part vaults without the introduction of tiercerons or

transverse ridge ribs at a comparatively early date in Worcester

cathedral choir (after 1224),[227] Westminster Abbey choir (1245-1260),

and Gloucester cathedral nave (1245), and that it is used in France in a

number of churches where there are no tiercerons.[228] In such cases it

serves the primary purpose of clearly marking the ridge line, which is

especially difficult to adjust in vaults with level crowns. That it was

the longitudinal effect thus produced which was desired is evidenced by

the fact that except when there were tiercerons in the longitudinal

cells, the transverse ridge rib was rarely added to such vaults (Plate

I-k). Among the very few examples are the cathedral of Tulle (Corrèze)

(twelfth century) and the fifteenth century chapel of the château at

Blois, both of them in France.[229]

TIERCERON VAULTING

The introduction of a ridge rib was only the first step in the

development of multiple rib vaulting. It was not long before the

builders, especially in England, began to add intermediate ribs or

tiercerons between the transverse arches and the diagonals. These may

possibly have been inspired by the extra ribs in the choir of Lincoln

cathedral (Fig. 35 and Plate I-l), but whatever their origin they became

a common feature of later Gothic and gave rise to what may be termed

tierceron vaulting. In the transverse vault severies, which in England

were really sections of a tunnel vault because of the level crown line,

these ribs acted largely as added centering and as decorative features.

But when used in the window cells they served another purpose as well

for they enabled the builders to convert the ordinary “ploughshare”

curve of the vaulting conoid into a series of flat panels which could be

constructed with much less difficulty as far as the laying of the

masonry courses was concerned.

Sometimes the tiercerons are used in both the transverse and the

longitudinal severies and sometimes only in one of them. Their number

also varies greatly, though of course they are always in pairs. Lincoln

cathedral presbytery (cir. 1266-1280) (Fig. 36) affords an example of a

single pair in each of the large transverse severies with none in the

window cells (Plate I-m), while Chester cathedral chapter-house (first

half of the thirteenth century), and Worcester cathedral nave (cir.

1350-1377) (Fig. 89) are rare examples of the opposite arrangement

(Plate I-n).[230] To support such tiercerons as these at their crown, a

transverse ridge rib was added to the construction, sometimes as in

Chester chapter-house (Plate I-n), Lincoln nave (before 1233),[231] and

Ely presbytery (1235-1252),[232] running out only to the new keystone

(Plate I-o) and thus playing a purely structural rôle, but often

extending to the window head (Plate I-p) as in Lichfield cathedral south

transept (cir. 1220) and choir (fourteenth century). These portions of

Lichfield, together with the nave of Lincoln and the presbytery of Ely

cathedral, are also important as showing the employment of a single

pair of tiercerons in each of the four panels of the vaulting bays

(Plate I-p). This system is slightly varied in the naves of Lichfield

and Hereford (Plate I-q-r), where the true transverse arch is omitted

between the bays, but these vaults like those of Durham are merely

variants of the more standard types.[233]

[Illustration: FIG. 36.--LINCOLN, CATHEDRAL.]

The introduction of a single pair of tiercerons in each major panel was

soon followed, especially in the window cells where the surface was

warped, by the use of two (Plate I-s) and even of three such pairs

(Plate I-t). Two are found in Hereford cathedral south transept (cir.

1400),[234] and in the choir of Saint Mary Redcliffe at Bristol

(fifteenth century),[235] while three appear at Exeter (between

1280-1350) (Fig. 37). This last may well be said to mark the highest

point in tierceron vaulting,[236] and it must be acknowledged that the

decorative effect produced is most pleasing. Placed as they are over

comparatively low naves, these vaults harmonize in an admirable manner

with the clustered piers, moulded archivolts, and substantial walls

provided for their support, and carry to the crown of the vault that

wealth of moulding which lends so much of grace and charm to the English

Gothic of the Decorated period. Were such vaults used above the lofty

naves of Amiens or Beauvais, they would doubtless appear oppressively

heavy but the lowness and solidity of English construction entirely

dispels such a feeling. Of course, tiercerons are not essential members

of the vaulting system and perhaps they were better omitted altogether,

but that their usage can be vindicated from an aesthetic standpoint is

proved by such vaults as those at Exeter.

[Illustration: FIG. 37.--EXETER, CATHEDRAL.]

LIERNE VAULTING

Tierceron vaulting did not, however, mark the limit to which the English

Gothic builders were to carry their passion for added ribs and complex

design, and it was not long before short connecting ribs known as

liernes were added to the tierceron vaults. These may have been

introduced by the builders from a feeling that the tiercerons did not

have sufficient abutment, as Bond suggests,[237] but it is more

reasonable to suppose that they are the result of a striving for still

more complex vaulting forms and still more decorative patterns in vault

construction.

The combinations in lierne vaulting are of course without number and

only a few can be discussed. The simplest is that known as the star

vault (Plate I-u) in which there is a single pair of tiercerons in each

of the four main vault panels with short liernes connecting the points

of their intersection with the ridge ribs, with a point in the same

plane on each of the diagonals. A simple example occurs at Oxford in the

Proscholium[238] and one of the same general type but much elaborated,

in the choir of Oxford cathedral.[239]

It is almost impossible to classify the remaining lierne vaults under

separate heads, though there are certain characteristics which belong to

one group and not to another. For example, some, like those of the nave

of Saint Mary Redcliffe at Bristol[240] have no ridge rib, others have a

single rib like that found in tierceron vaulting. These last might again

be classified according to the number and arrangement of their liernes.

Thus in Ely cathedral choir[241] (beg. 1322) and Norwich nave (vaults

cir. 1470)[242] there are but few liernes, while in Winchester cathedral

nave (cir. 1394-1460) there is a much larger number. Still other lierne

vaults have more than one ridge rib. Of these, the choir (1337-1357),

and Lady chapel of Gloucester cathedral (cir. 1457-1489), and the nave

of Tewkesbury Abbey (Fig. 38)[243] are representative and varied

examples. All have three ridge ribs which is the standard number.

INTERPENETRATING MULTIPLE RIBBED VAULTS

In these last three churches, however, as well as in Winchester nave and

in numerous other examples not cited, there is a still more decided

change in the form of the vault than that brought about by the use of

liernes or added ridge ribs. This lies in the fact that the window cells

no longer rise to the full height of the vault, so that the entire

system is practically a reversion to the Romanesque tunnel vault pierced

on either side with lunettes, in other words, to the interpenetrating

vault. The ribs merely form a permanent centering, and generally no

attempt is made to concentrate the pressure on a narrow strip of

wall,[244] or to make use of flying-buttresses.[245] Except for the

decoration which they afford, the ribs have little structural value

though they do make possible lighter masonry in the web than would be

possible in a continuous tunnel vault.

[Illustration: FIG. 38.--TEWKESBURY, ABBEY CHURCH.]

The height of the window cells in such vaults was not at all fixed

though it was quite frequently determined by the intersection of two

ribs running diagonally from each side of the window to the second

impost on the opposite wall of the church.[246] Such window cells as

these naturally left a large central space along the crown of the vault,

which was usually decorated by extra lierne and ridge ribs.

TRACERY VAULTS

Not content with the liernes as a decoration, an innovation appears in

Tewkesbury choir,[247] Saint George’s Chapel at Windsor[248] and

elsewhere, which consists in the application of raised mouldings forming

tracery patterns on the few open spaces left between the ribs of complex

lierne vaults. It is as if the tracery of a window were applied to a

background of stone, with ribs taking the place of mullions. The

patterns are usually trefoils or quatrefoils, but other forms, as, for

example, the cross shaped flowers in the fan vaults at Peterborough

(Fig. 39) also occur.

The natural consequence of such added mouldings and ribs as those just

described was to bring about the total sacrifice of the structural

principles of ribbed vaulting to those which were purely decorative, and

it is not surprising that such a vault as that of the choir of Wells

cathedral (1329-1363),[249] in which the ribs have but the slightest

claim to structural purpose should be found even at its early date as an

example of this decadent stage in English vaulting.

FAN VAULTING

But the addition of multiple ribs lead not only to such debased vaulting

as that at Wells. It must have played a large part in the creation of

the distinctly novel construction known as fan vaulting. For in a vault

with many tiercerons, as for example, that at Exeter (Fig. 37), or

Hereford south transept,[250] the combined surfaces between the ribs is

a cross between half of a hollow sided pyramid and a cone. This is true

because, like most of the English churches, the wall rib is not highly

stilted to concentrate pressures on a narrow strip of outer wall, or to

leave a more pointed window head as in France, but it and the tiercerons

and diagonals have much the same curvature. It was natural, therefore,

that the English

[Illustration: FIG. 39.--PETERBOROUGH, CATHEDRAL.]

builders should have conceived the idea of making all the ribs of just

the same curvature but of different length according to their several

positions. This they did in Sherborne Abbey nave (vaulted

1475-1504).[251] Here the builders very logically used the shortest rib

as a measure and connected the points at corresponding distances from

the imposts on each rib with liernes. A central space was thus left,

which at Sherborne was covered by prolonging a number of the radiants

and adding a tracery of liernes and mouldings. The vault as thus

constituted is not yet of pure fan type. It was first necessary to

replace the ring of straight liernes by those of curved plan and to add

one ring above another at the various points of intersection of the

tiercerons and transverse ridge ribs, until practically the entire space

to the vault crown was filled. Thus, in certain of the fan vaults of

Peterborough (second half of the fifteenth century) (Fig. 39), there are

three such rings leaving but a small diamond shaped central space which

is largely filled by the keystone of the bay.[252] Others down the side

aisles where the bays are smaller have but a single ring and a much

larger central space. In vaults of the Peterborough type, the radiants

are continued through this central panel in a decorative way, but in the

cloister at Gloucester (before 1412) (Fig. 40), this portion of the

vault is left entirely flat and decorated with tracery patterns in

raised mouldings such as are usually found in window heads. The conoids,

also, are covered with tracery rather than continuous ribs and the term

“Fan-Tracery Vaults” might properly be used to distinguish them from the

more common type.[253]

[Illustration: FIG. 40.--GLOUCESTER, CATHEDRAL, CLOISTER.]

In the matter of construction, fan vaulting differs from any preceding

method. Its ribs are all of precisely the same curvature, their length

being determined by the position which they occupy, and they are no

longer supporting but rather decorative members. The lower portions of

some of the vaults still resemble true ribbed vaulting in that the

tas-de-charge is used, and also in the fact that the ribs still rise in

a single long voussoir from their imposts to the first horizontal ring.

But from this point to the crown, the ribs and mouldings are merely

carved in relief upon the jointed masonry, which they therefore in no

way support. In some fan vaults, as, for example, in Islip’s chapel in

Westminster Abbey,[254] and in Gloucester cathedral cloister (Fig. 40),

the rib is even carved upon the vault masonry for its entire length.

The one structural advantage which the fan vault afforded lay in the

fact that it could be built up of practically horizontal courses in a

manner to exert very little outward thrust; while the substitution of

curved, for straight liernes did away with the awkward angular

intersections characteristic of lierne vaulting. Altogether, it is both

a clever and beautiful type of vaulting well suited to the builders of

the Perpendicular Gothic period, with their fondness for intricate

decorative rather than structural problems.

PENDANTS

Because of its late development, fan vaulting was not extensively used

to cover an entire church. Nevertheless, King’s College Chapel at

Cambridge (vaulted between 1512 and 1515),[255] and Bath Abbey (cir.

1500-1540),[256] furnish two excellent examples, to which might be added

Henry VII’s Chapel at Westminster (cir. 1500-1520).[257] The latter is

essentially of fan type, though the fans are in combination with a

system of transverse arches and pendants best understood from the

photograph and drawing just cited. The vaults in the foregoing churches,

do however exhibit minor differences. For example, the transverse arches

are practically concealed in the vaults of the naves at Sherborne, and

Bath and in the east aisle of Peterborough, while they are prominent in

Henry VII’s and King’s College chapels. Moreover, in a number of fan

vaults as well as in others of different type, pendant voussoirs or

keystones are employed. These are supported by some clever building

trick and beautifully carved either as lanterns or reliquaries,--like

those of Oxford cathedral choir,[258]--or decorated with rich floral,

heraldic, or other designs. Thus they play a rôle which is largely

decorative, though one which also marks a very clever building

technique.[259]

VAULTS WITH ADDED RIBS--OUTSIDE OF ENGLAND

The vaults thus far discussed have been largely those of England, but

some of the types with added ribs, most highly developed in that country

were not without Continental examples. In France, for instance, ridge

ribs, besides being used in vaults of the domed up Anjou type already

described, are also found marking level ridges like those of the

standard English vaults. The nave of the abbey church of Souvigny

(Allier) (late fifteenth century), the north transept of the cathedral

of LeMans (before 1430), and the chapel of the Maison de Jacques Coeur

at Bourges (middle of fifteenth century) afford excellent examples of

the use of the longitudinal without the transverse ridge rib, while the

chapel of the château of Blois, and the cathedral of Tulle (Corrèze),

have already been cited as rare instances in which both were employed in

vaults with level crowns. That the French builders were even more

impressed with the decorative possibilities which these ribs afforded

than were those of England is perhaps shown by the fact that, whereas in

England this rib has carved decoration[260] only rarely as in the nave

of Lichfield cathedral it is carved in no less than three of the French

examples cited, the chief among these being Souvigny, in which a deeply

cut foliate design decorates both sides of the rib throughout its entire

length. In Spain also there is a notable example of the decoration of

both a longitudinal and transverse ridge rib in the form of a knotted

rope or scourge in the cathedral of Vizeu.[261]

Tiercerons as well as ridge ribs were freely used on the continent

though usually not at a very early date. Fine examples are to be seen in

France in such churches as those of Brou (Ain) (1506-1536), and Saint

Nicolas-du-Port (Meurthe-et-Moselle) (cir. 1505).[262] Both of these are

also of interest because their vaults still retain the domed up crown

characteristic of French construction, and because of this the builders,

to avoid the awkward rise and fall of continuous ridge ribs, have

brought these out only far enough to meet the pair of tiercerons in each

severy. Many other examples of tierceron vaulting could be cited both in

France and elsewhere, but they would add nothing of importance from a

structural standpoint.

As for lierne vaults, they, too, appear on the Continent especially in

Germany and Spain. The choir of Freiburg cathedral (second half of

fifteenth century) (Fig. 72), and the church of the Holy Cross at

Gmund,[263] show two German types, both of which resemble English vaults

which have already been discussed. In Spain, the new cathedral at

Salamanca[264] (begun 1513), the cathedral at Segovia (begun 1525),[265]

and many other churches might be cited, while in France the church of

Mézières (begun 1499),[266] and Switzerland the cathedral of Bern (cir.

1421-1598)[267] show the extent of the style, sometimes with sharply

defined domed up bays as in Mézières and sometimes a continuous vault

like that of Bern. Finally in some instances, as, for example, the

Stadkirche of Wimpfen[268] the liernes are curved giving a still more

complicated character to the vault.

Fan vaulting was unused[269] outside of Great Britain, but there are

many instances of the employment of extensively decorated vaults,

including those with pendants of somewhat English character. Among the

latter are Saint Pierre at Caen and Saint Eustache at Paris

(1532-1637),[270] while pendants of especially exaggerated type are to

be seen in the vault of one of the chapels off the south side aisle of

Noyon

[Illustration: FIG. 41.--NOYON, CATHEDRAL, CHAPEL.]

cathedral (Fig. 41). A tendency to decorate the panels is also

noticeable in a number of late French vaults, as for example that of the

chapel of Saint Jacques at Cléry (Loiret) (probably after 1485) (Fig.

42), where each of the larger divisions of a complicated lierne and

tierceron vault is decorated by a wallet and staff or a scourge in low

relief. At Rue (Somme), in the chapel of Saint Esprit,[271] there is a

somewhat similar vault with heraldic devices and floral ornament on the

panels. But even more notable are the angels in the round which have

been added for decorative purposes in four of the severies of the vaults

in one bay of the side aisle of the north transept (sixteenth century)

in Senlis (Oise) cathedral (Fig. 43). The final stage in elaborate

vaulting, is perhaps, to be seen in such a vault as that of the Chapelle

de la Vièrge at La Ferté-Bernard (Sarthe)[272] which dates from

1535-1544. Here the panels are merely portions of a flat ceiling

resting upon a series of arches arranged like ribs, but carrying a

tracery framework upon which the elaborately decorated ceiling with its

mouldings and stalactite pendants is made to rest.

[Illustration: FIG. 42.--CLÉRY, CHAPEL OF SAINT JACQUES.]

SIDE AISLE VAULTING

There now remain for consideration before closing this chapter, the

ribbed vaults of the aisles and triforia of Gothic churches. Very

naturally the general development of ribbed vaulting in the aisles

closely parallels that in the nave. In by far the larger number of

churches, the side aisle bays are square and covered with simple

four-part cross-ribbed vaults. As in the case of the nave, those of

early date have many clumsy features. Thus in the aisles of Saint

Étienne at Beauvais (Fig. 44)--which, fortunately, retain a few bays of

their primitive vaults dating from about 1125--the diagonals are heavy

(cir. 20-25 cm. thick)[273] and either square with simple bevelled edges

or of single torus section. No wall rib is found and the transverse

arches, besides being very thick, are of round-headed form, highly

stilted to bring them up to approximately the general vault level. The

vault itself is slightly domed up at the crown and besides the

[Illustration: FIG. 43.--SENLIS, CATHEDRAL, CHAPEL VAULT.]

[Illustration: FIG. 44.--BEAUVAIS, SAINT ÉTIENNE.]

[Illustration: FIG. 45.--SENS, CATHEDRAL.]

primitive characteristics just enumerated, its panels are composed of

small stones roughly joined and in very uneven courses, while the ribs

themselves are built up of short voussoirs, which are not combined at

their springing in the familiar tas-de-charge of more developed Gothic

work. The cathedral of Sens presents in its side aisles (Fig. 45), which

date from the twelfth century[274] a slightly different system. The

transverse arches are still heavy and semicircular but they are not

stilted. The diagonals rise from corner corbels--a fact which may prove

that the aisles were originally planned for groined vaulting and thus no

provision made for the cross-ribs,--and they are also semicircular, thus

giving the vault a decidedly domed up character. This makes these vaults

at Sens very similar to Lombard work and it would seem as though their

builders had the same object of saving centering by the use of ribs as

obtained in Lombardy. There is one apparent advance over those at

Beauvais in the presence of a wall rib, but this is of too wide a span

to fit under its severy, and it would seem to have been designed to mark

the wall intersection of groined rather than ribbed vaulting.

The early aisle vaults in England are generally similar to those at

Beauvais, with even less doming or none at all. The earliest would seem

to be those in Peterborough, Durham and the north nave aisle of

Gloucester cathedrals, all dating, apparently, from before 1140.

Although similar to those in Saint Étienne at Beauvais they differ in

the comparative lowness of their transverse arches, which are but

slightly stilted, and in the correspondingly reduced curve of the

diagonals, which are less than semicircles and thus do not raise the

crown of the vault. The explanation of this may very possibly be found

in the desire of the builders to avoid cutting into the level of the

triforium floor, especially at Peterborough, where this is a true

gallery, and also in their familiarity with the flat crowned groined

vault, which they had previously used in crypts and elsewhere. The form

of the diagonals is in any case displeasing, as they spring from the

shafts at an awkward angle and, furthermore, render the thrusts of the

vault excessive.[275]

Many structural refinements were, of course, necessary before these

crude vaults gave rise to the fully developed type, but these

refinements followed in general the same order as those in the larger

nave vaults. First came the introduction of the pointed arch and its use

for the transverse and longitudinal ribs in place of the semicircular

type. This change may be seen in such early vaults as those of Noyon

cathedral (cir. 1150) where pointed arches are used throughout. The

noticeable feature here is the great size of the transverse ribs

compared to that of the diagonals. This same feature continues to appear

in a gradually lessening degree in many of the churches of the

transitional period, and even in the developed Gothic of the thirteenth

century, as, for example, in Bourges and Amiens cathedrals. This may,

perhaps, be explained by the function of this transverse arch which was

not merely a centering for the vault panel, but carried a considerable

amount of the weight of the exterior buttress piers and wall pilasters

which were connected above the aisle roofs by the arch of the flying

buttress. These heavy transverse ribs also aided materially in bracing

the nave piers and tying them to the outer walls. Sometimes, as in the

beautiful aisles of Rouen cathedral, all the ribs are of the same

section, but whether they were all the same or not, such vaults as those

at Rouen and Amiens set the standard for developed Gothic side aisles.

FIVE-PART AISLE VAULTS

[Illustration: FIG. 46.--BEAUVAIS, CATHEDRAL, FIVE-PART VAULT.]

Other methods, however, were employed. Perhaps the chief among these is

the five-part vault, in which the triangular severy nearest the outer

wall in a four-part vault is subdivided by a half rib running to the

main vault crown (Fig. 46). The advantage of such a system lies in the

fact that it permits a more pleasing arrangement of windows in the outer

wall, especially in bays of rectangular plan, like those in the Certosa

at Pavia and Magdeburg cathedral already discussed, where the windows

would otherwise fit but awkwardly beneath the broad low wall rib. The

same system was also used in aisles with practically square bays, as,

for example, in the cathedral of Coutances (Fig. 82), in Saint Urbain

at Troyes and in many English churches.[276] Here, too, the explanation

is to be found in the window arrangement, especially in the English and

Norman Gothic examples, where these windows are of the slender lancet

type, which could not be satisfactorily placed beneath the comparatively

low wall rib of a square four-part vault.

MULTIPLE-RIBBED AISLE VAULTS

With the introduction of ridge ribs, tiercerons, and liernes, the side

aisles show the same changes as those which took place in the nave.

Simple ridge ribs appear, for example, in Lichfield cathedral, liernes

at Worcester, while tierceron vaults could be cited in great number. Fan

vaults, too, were used in the aisles, and have already been discussed in

connection with those of the nave. Reconstructions sometimes produced an

unusual vaulting system like that of Beauvais cathedral (cir. 1284),

where transverse arches with tracery spandrels were added across each

original aisle bay, giving the vault a pseudo-sexpartite character. True

six-part vaulting was by its very nature ill-suited for use in the

aisles and is very rarely found. There is an example, however, in

Magdeburg cathedral.[277] A desire for novelty also seems to have been

the cause of unusual vaults, such as those of Bristol cathedral choir

aisles,[278] in which low transverse tracery arches separate the bays

and carry a system of ribs which subdivide each bay into two rectangular

four-part vaults running lengthwise of the aisle.

TRIFORIUM VAULTING

Although similar in plan to the side aisles, the triforia were apt to be

a little later in being given ribbed vaults. In the abbey church of

Saint Germer-de-Fly (Oise) (cir. 1140) and in the choir of La Madeleine

at Vézelay (Yonne) (cir. 1160 or 1170), for example, the triforium is

not only left with groined vaults but is also constructed with

round-headed arches, although both the ribbed vault and pointed arch are

used in the aisles. This peculiarity may be due to the fact that groined

vaults were easier and cheaper to construct over a low space like the

gallery than a ribbed vault would have been, because they involved less

careful stone cutting than was required for the ribs. Moreover, since

the chief object of the transitional builders in using the ribbed vault

would seem to have been to save centering, their object would not have

been especially well served in the triforia, which were kept low to

avoid detracting from the clerestory and therefore required but little

centering compared to that which would have been needed for groined

vaults in the side aisles. Another system with possibly a similar reason

for its use appears in Mantes (Seine-et-Oise) cathedral (end of twelfth

century), where the aisles are ribbed and surmounted by a triforium with

transverse tunnel vaults, a most exceptional arrangement.

[Illustration: FIG. 47.--SENLIS, CATHEDRAL.]

It was only when the triforium began to play a larger rôle in the church

plan, when it was perhaps used for congregational purposes, that its

vaulting began to develop like that of the aisles. Thus in the cathedral

of Senlis (Oise) (cir. 1150) (Fig. 47), the triforium though

comparatively

[Illustration: FIG. 48.--LAON, CATHEDRAL.]

low, is a veritable second story above the side aisles with its own good

sized windows. Its vaults are still of rather primitive ribbed type. The

transverse arches, though pointed, are heavy, and to avoid the flattened

curve which the diagonals would otherwise have, the vault is given a

domed up crown. The cathedral of Laon (Aisne) (cir. 1170) (Fig. 48)

possesses a triforium of slightly greater height but still retaining

excessively heavy ribs and domed up vaults. The triforia of the naves of

Noyon (Oise) cathedral (cir. 1150-1180) and of Notre Dame at

Chalons-sur-Marne (Marne) (1157-1183) show a gradual reduction in the

size of these ribs, all of which finally become of practically equal

section in the triforium of the cathedral of Notre Dame at Paris (beg.

1163), where the doming up of the crown also disappears to a large

extent and where the gallery itself is nearly as lofty as the side

aisles. After the beginning of the thirteenth century, triforia rapidly

decline in popularity and are but rarely found except in Normandy, where

there are beautiful examples in such churches as Saint Étienne at Caen

choir rebuilt in the first quarter of the thirteenth century. Owing to

its early decline in popularity, the triforium never presents those

complex vaulting systems of the late Gothic period which have been

described as appearing in the nave and aisles.

NAVE AND AISLES OF EQUAL HEIGHT

In closing this chapter brief mention should be made of the series of

churches in which the aisle vaults are nearly or quite as high as those

of the nave, which they therefore aid in supporting. Among the numerous

examples of such churches, the cathedral of Poitiers (Vienne) (cir. 1160

and thirteenth century) illustrates the type in which the vaults of the

aisles are slightly lower than those of the nave, while Saint Serge at

Angers has all the vaults at exactly the same level. Both are of Anjou

type but this is due only to their geographical situation, for the

system was widely extended.[279] In Germany there is a fine early

example in Saint Elizabeth at Marburg (cir. 1235),[280] with vaulting of

simple Gothic character, while the church of the Holy Cross at

Gmund[281] is covered with vaulting of complex lierne type. Except for

the change in interior elevation which the system brought about and the

fact that it removed the necessity for flying-buttresses, it did not

show any special progress along structural lines. It must be

acknowledged that the churches thus constructed possess a most pleasing

effect of spaciousness in their interior elevation, though this is

offset by the lack of direct light in the nave. A final example of a

church similar to those mentioned above but with a new vaulting system

is afforded by Saint Florentin at Amboise (Indre-et-Loire)

(fifteenth-sixteenth century). Its aisles are very narrow and are

covered by transverse tunnel vaults in much the same manner as a number

of Romanesque churches already discussed, except that the nave is here

roofed with a ribbed vault. It is but a variant of the standard vaulting

types described in this chapter.

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