[Footnote 1: _Harm._ i. 16 [Greek: plên kathoson adousi men

akolouthôs tô dedeigmenô syntonô diatonikô, kathaper exestai skopein

apo tês tôn oikeiôn autou logôn parabolês, harmozontai de heteron ti

genos] (sc. the Pythagorean), [Greek: xynengizon men ekeinô, k.t.l.]]

§ 32. _Remains of Greek Music._

The extant specimens of Greek music are mostly of the second century

A.D., and therefore nearly contemporary with Ptolemy. The most

considerable are the melodies of three lyrical pieces or hymns, viz.

(1) a hymn to Calliope, (2) a hymn to Apollo (or Helios),--both

ascribed to a certain Dionysius,--and (3) a hymn to Nemesis, ascribed

to Mesomedes[2]. Besides these there are (4) some short instrumental

passages or exercises given by Bellermann's _Anonymus_ (pp. 94-96).

And quite recently the list has been increased by (5) an inscription

discovered by Mr. W. M. Ramsay, which gives a musical setting of four

short gnomic sentences, and (6) a papyrus fragment (now in the

collection of the Arch-duke Rainer) of the music of a chorus in the

_Orestes_ of Euripides. These two last additions to our scanty stock

of Greek music are set out and discussed by Dr. Wessely of Vienna and

M. Ruelle in the _Revue des Études Grecques_ (V. 1892, pp. 265-280),

also by Dr. Otto Crusius in the _Philologus_, Vol. LII, pp.

160-200[1].

[Footnote 2: It seems needless to set out these melodies here. The

first satisfactory edition of them is that of Bellermann, _Die Hymnen

des Dionysius und Mesomedes_ (Berlin, 1840). They are given by

Westphal in his _Musik des griechischen Alterthumes_ (1883), and by

Gevaert, _Musique de l'Antiquité_, vol. i. pp. 445 ff.; also in Mr.

W. Chappell's _History of Music_ (London, 1874), where the melodies

of the first and third hymns will be found harmonised by the late Sir

George Macfarren.

The melody published by Kircher (_Musurgia_, i. p. 541) as a fragment

of the first Pythian ode of Pindar has no attestation, and is

generally regarded as a forgery.]

The music of the three hymns is noted in the Lydian key (answering to

the modern scale with one [symbol: flat]). The melody of the second

hymn is of the compass of an octave, the notes being those of the

Perfect System from Parhypatê Hypatôn to Tritê Diezeugmenôn (_f - f_

with one [symbol: flat]). The first employs the same octave with a

lower note added, viz. Hypatê Hypatôn (_e_): the third adds the next

higher note, Paranêtê Diezeugmenôn (_g_). Thus the Lydian key may be

said, in the case of the second hymn, and less exactly in the case of

the two others, to give the Lydian or _c_-species of the octave in

the most convenient part of the scale; just as on Ptolemy's system of

Modes we should expect it to do.

This octave, however, represents merely the _compass_ (_ambitus_ or

_tessitura_) of the melody: it has nothing to do with its _tonality_.

In the first two hymns, as Bellermann pointed out, the key-note is

the Hypatê Mesôn; and the mode--in the modern sense of that word--is

that of the octave _e - e_ (the Dorian mode of Helmholtz's theory).

In the third hymn the key-note appears to be the Lichanos Mesôn, so

that the mode is that of _g-g_, viz. the Hypo-phrygian.

[Footnote 1: Of the discovery made at Delphi, after most of this book

was in type, I hope to say something in the _Appendix_.]

Of the instrumental passages given by the _Anonymus_ three are

clearly in the Hypo-dorian or common mode, the Mesê (_a_) being the

key-note. (See Gevaert, i. p. 141.) A fourth (§ 104) also ends on the

Mesê, but the key-note appears to be the Parhypatê Mesôn (_f_).

Accordingly Westphal and Gevaert assign it to the Hypo-lydian species

(_f - f_). In Westphal's view the circumstance of the end of the

melody falling, not on the key-note, but on the Third or Mediant of

the octave, was characteristic of the Modes distinguished by the

prefix _syntono-_, and accordingly the passage in question is

pronounced by him to be Syntono-lydian. All those passages, however,

are mere fragments of two or three bars each, and are quoted as

examples of certain peculiarities of rhythm. They can hardly be made

to lend much support to any theory of the Modes.

The music of Mr. Ramsay's inscription labours under the same defect

of excessive shortness. If, however, we regard the four brief

sentences as set to a continuous melody, we obtain a passage

consisting of thirty-six notes in all, with a compass of less than an

octave, and ending on the lowest note of that compass. Unlike the

other extant specimens of Greek music it is written in the Ionian

key--a curious fact which has not been noticed by Dr. Wessely.

INSCRIPTION WITH MUSICAL NOTES.

[Music:

[Greek: hos-on zês phai-nou.

mê-den hol-ôs sy ly-pou.

pros o-li-gon es-ti to zên.

to te-los ho chro-nos a-pai-tei.]

]

The notes which enter into this melody form the scale _f[Symbols:

sharp]-g-a-b-c[Symbols: sharp]-d-e[-f[Symbols: sharp]]_, which is an

octave of the Dorian species (_e - e_ on the white notes). Hence if

_f_[Symbols: sharp], on which the melody ends, is the key-note, the

_mode_ is the Dorian. On the other hand the predominant notes are

those of the triad _a-c[Symbols: sharp]-e_, which point to the key of

_a_ major, with the difference that the Seventh is flat (_g_ instead

of _g_[Symbols: sharp]). On this view the music would be in the

Hypo-phrygian mode.

However this may be, the most singular feature of this fragment

remains to be mentioned, viz. the agreement between the musical notes

and the _accentuation_ of the words. We know from the grammarians

that an acute accent signified that the vowel was sounded with a rise

in the pitch of the voice, and that a circumflex denoted a rise

followed on the same syllable by a lower note--every such rise and

fall being quite independent both of syllabic quantity and of stress

or _ictus_. Thus in ordinary speech the accents formed a species of

melody,--[Greek: logôdes ti melos], as it is called by

Aristoxenus[1]. When words were _sung_ this 'spoken melody' was no

longer heard, being superseded by the melody proper. Dionysius of

Halicarnassus is at pains to explain (_De Comp. Verb._, c. 11), that

the melody to which words are set does not usually follow or resemble

the quasi-melody of the accents, _e.g._ in the following words of a

chorus in the _Orestes_ of Euripides (ll. 140-142):--

[Greek: siga siga leukon ichnos arbylês

tithete, mê ktypeite;

apoprobat' ekeis' apopro moi koitas,]

[Footnote 1: _Harm._ p. 18 Meib. [Greek: legetai gar dê kai logôdes

ti melos, to synkeimenon ek tôn prosôdiôn, to en tois onomasi;

physikon gar to epiteinein kai anienai en tô dialegesthai].]

he notices that the melody differs in several points from the spoken

accents: (1) the three first words are all on the same note, in spite

of the accents; (2) the last syllable of [Greek: arbylês] is as high

as the second, though that is the only accented syllable: (3) the

first syllable of [Greek: tithete] is lower than the two others,

instead of being higher: (4) the circumflex of [Greek: ktypeite] is

lost ([Greek: êphanistai]), because the word is all on the same

pitch; (5) the fourth syllable of [Greek: apoprobate] is higher in

pitch, instead of the third. In Mr. Ramsay's inscription, however,

the music follows the accents as closely as possible. Every acute

accent coincides with a rise of pitch, except in [Greek: hoson],

which begins the melody, and in [Greek: esti], for which we should

perhaps read the orthotone [Greek: esti]. Of the four instances of

the circumflex accent three exhibit the two notes and the falling

pitch which we expect. The interval is either a major or a minor

Third. In the other case ([Greek: zês) the next note is a Third

lower: but it does not seem to belong to the circumflexed syllable.

All this cannot be accidental. It leads us to the conclusion that the

musical notes represent a kind of recitative, or imitation of spoken

words, rather than a melody in the proper sense of the term.

If any considerable specimen of the music of Euripides had survived,

it might have solved many of the problems with which we have been

dealing. The fragment before us extends over about six lines in

dochmiac metre (_Orestes_ 338-343), with the vocal notation: but no

single line is entire. The key is the Lydian. The genus is either

Enharmonic or Chromatic. Assuming that it is Enharmonic--the

alternative adopted by Dr. Wessely--the characters which are still

legible may be represented in modern notation as follows:

[Music: [_Euripides_, _Orestes 338-344_.

[Greek: (katolo)phy-ro-mai; ma-te-ros (haima sas ho d' ana)bak-cheu-ei;

ho me-gas (olbos ou monimo)s en bro-tois;

a-na (de laiphos hôs ti)s a-ka-tou tho-as ti-na(xas daimôn)

kat-e-kly-sen (deinôn ponon) hôs pon-tou labrois k.t.l.

]

It should be observed that in the fragment the line [Greek:

katolophyromai katolophyromai] comes before 338 ([Greek: materos

k.t.l.]), not after it, as in our texts[1].

[Footnote 1: I need not repeat what is said by Dr. Wessely and M.

Ruelle in defence of the genuineness of our fragment. They justly

point to the remarkable coincidence that the music of this very play

is quoted by Dionysius of Halicarnassus (_l. c._). It would almost

seem as if it was the only well-known specimen of music of the

classical period of tragedy.

The transcription of Dr. Crusius, with his conjectural restorations,

will be found in the _Appendix_. I have only introduced one of his

corrections here, viz. the note on the second syllable of [Greek:

kateklysen].]

The notes employed, according to the interpretation given above, give

the scale _g-a-a*-a#-d-e-e*_. If the genus is Chromatic, as M. Ruelle

is disposed to think, they are _g-a-a#-b-d-e-f_. When these scales

are compared with the Perfect System we find that they do not

entirely agree with it. Whether the genus is Enharmonic or Chromatic

the notes from _a_ to _e*_ (or _f_) answer to those of the Perfect

System (of the same genus) from Hypatê Mesôn to Tritê Diezeugmenôn.

But in either case the lowest note (_g_) finds no place in the

System, since it can only be the Diatonic Lichanos Hypatôn. It is

possible, however, that the scale belongs to the period when the

original octave had been extended by the addition of a tone below the

Hypatê--the note, in fact, which we have already met with under the

name of Hyper-hypatê (p. 39). Thus the complete scale may have

consisted of the disjunct tetrachords _a-d_ and _e-a_, with the tone

_g-a_. It may be observed here that although the scale in question

does not fit into the Perfect System, it conforms to the general

rules laid down by Aristoxenus for the melodious succession of

intervals. It is unnecessary therefore to suppose (as Dr. Wessely and

M. Ruelle do) that the scale exhibits a _mixture_ of different

genera.

It must be vain to attempt to discover the tonality of a short

fragment which has neither beginning nor end. The only group of notes

which has the character of a cadence is that on the word

[Greek:(olo)phypomai], and again on the words [Greek: en brotois],

viz. the notes _a# a* a_ (if the genus is the Enharmonic). The same

notes occur in reversed order on [Greek: akatou] and [Greek:

(kat)eklusen]. This seems to bear out the common view of the

Enharmonic as produced by the introduction of an 'accidental' or

passing note. It will be seen, in fact, that the Enharmonic notes

(_a*_ and _e*_) only occur before or after the 'standing' notes (_a_

and _e_).

Relying on the fact that the lowest note is _g_, Dr. Wessely and M.

Ruelle pronounce the mode to be the Phrygian (_g-g_ in the key with

one [Symbols: flat], or _d-d_ in the natural key). I have already put

forward a different explanation of this _g_, and will only add here

that it occurs twice in the fragment, both times on a short

syllable[1]. The important notes, so far as the evidence goes, are

_a_, which twice comes at the end of a verse (with a pause in the

sense), and _e_, which once has that position. If _a_ is the

key-note, the mode--in the modern sense--is Dorian (the _e_-species).

If _e_ is the key-note, it is Mixo-lydian (the _b_-species).

[Footnote 1: Dr. Crusius, however, detects a [Symbols: phi]; (the

sign for _g_) over the first syllable of [Greek: kateklusen] and the

second syllable of [Greek: pontou]. There is little trace of them in

his facsimile.]

§ 33. _Modes of Aristides Quintilianus._

The most direct testimony in support of the view that the ancient

Modes were differentiated by the succession of their intervals has

still to be considered. It is the account given by Aristides

Quintilianus (p. 21 Meib.) of the six Modes ([Greek: harmoniai]) of

Plato's _Republic_. After describing the genera and their varieties

the 'colours,' he goes on to say that there were other divisions of

the tetrachord ([Greek: tetrachordikai diaireseis]) which the most

ancient musicians used for the [Greek: harmoniai], and that these

were sometimes greater in compass than the octave, sometimes less. He

then gives the intervals of the scale for each of the six Modes

mentioned by Plato, and adds the scales in the ancient notation. They

are of the Enharmonic genus, and may be represented by modern notes

as follows:--

Mixo-lydian _b-b*-c-d-e-e*-f-b_

Syntono-lydian _e-e*-f-a-c_

Phrygian _d-e-e*-f-a-b-b*-c-d_

Dorian _d-e-e*-f-a-b-b*-c-e_

Lydian _e*-f-a-b-b*-c-e-e*_

Ionian _e-e*-f-a-c-d_

Comparing these scales with the Species of the Octave, we find a

certain amount of correspondence. As has been already noticed (p.

22), the names Syntono-lydian and Lydian answer to the ordinary

Lydian and Hypo-lydian respectively. Accordingly the Lydian of

Aristides agrees with the Hypo-lydian species as given in the

pseudo-Euclidean _Introductio_. The Dorian of Aristides is the Dorian

species of the _Introductio_, but with an additional note, a tone

below the Hypatê.

The Phrygian of Aristides is not the Enharmonic Phrygian species; but

it is derived from the diatonic Phrygian octave _d-e-f-g-a-b-c-d_ by

inserting the enharmonic notes _e*_ and _b*_, and omitting the

diatonic _g_. By a similar process the Mixo-lydian of Aristides may

be derived from the diatonic octave _b-b_, except that _a_ as well as

_g_ is omitted, and on the other hand _d_ is retained. If the scale

of the Syntono-lydian is completed by the lower _c_ (as analogy would

require), it will answer similarly to the Lydian species (_c-c_).

§ 34. _Credibility of Aristides Quintilianus._

But what weight can be given to Aristides as an authority on the

music of the time of Plato? The answer to this question depends upon

several considerations.

1. The date of Aristides is unknown. He is certainly later than

Cicero, since he quotes the _De Republica_ (p. 70 Meib.). From the

circumstance that he makes no reference to the musical innovations of

Ptolemy it has been supposed that he was earlier than that writer.

But, as Aristides usually confines himself to the theory of

Aristoxenus and his school, the argument from silence is not of much

value. On the other hand he gives a scheme of notation containing two

characters, [Symbol: [] and [Symbol: *], which extend the scale two

successive semi-tones beyond the lowest point of the notation given

by Alypius[1]. For this reason it is probable that Aristides is one

of the latest of the writers on ancient music.

[Footnote 1: This argument is used, along with some others not so

cogent, in Mr. W. Chappell's _History of Music_ (p. 130).]

2. The manner in which Aristides introduces his information about the

Platonic Modes is highly suspicious. He has been describing the

various divisions of the tetrachord according to the theory of

Aristoxenus, and adds that there were anciently other divisions in

use. So far Aristides is doubtless right, since Aristoxenus himself

says that the divisions of the tetrachord are theoretically infinite

in number (p. 26 Meib.),--that it is possible, for example, to

combine the Parhypatê of the Soft Chromatic with the Lichanos of the

Diatonic (p. 52 Meib.). But all this concerns the genus of the scale,

and has nothing to do with the species of the Octave, with which

Aristides proceeds to connect it. It follows either that there is

some confusion in the text, or that Aristides was compiling from

sources which he did not understand.

3. The Platonic Modes were a subject of interest to the early musical

writers, and were discussed by Aristoxenus himself (Plut. _de Mus._

c. 17). If Aristoxenus had had access to such an account as we have

in Aristides, we must have found some trace of it, either in the

extant _Harmonics_ or in the quotations of Plutarch and other

compilers.

4. Of the four scales which extend to the compass of an octave, only

one, viz. the Dorian, conforms to the rules which are said by

Aristoxenus to have prevailed in early Greek music. The Phrygian

divides the Fourth _a-d_ into four intervals instead of three, by the

sequence _a b b* c d_. As has been observed, it is neither the

Enharmonic Phrygian species (_c e e* f a b b* c_), nor the Diatonic

_d-d_, but a mixture of the two. Similarly the Mixo-lydian divides

the Fourth _b_-_e_ into four intervals (_b b* c d e_), by introducing

the purely Diatonic note _d_. The Lydian is certainly the Lydian

Enharmonic species of the pseudo-Euclid; but we can hardly suppose

that it existed in practical music. Aristoxenus lays it down

emphatically that a quarter-tone is always followed by another: and

we cannot imagine a scale in which the highest and lowest notes are

in no harmonic relation to the rest.

5. Two of the scales are incomplete, viz. the Ionian, which has six

notes and the compass of a Seventh, and the Syntono-lydian, which

consists of five notes, with the compass of a Minor Sixth. We

naturally look for parallels among the defective scales noticed in

the _Problems_ and in Plutarch's dialogues. But we find little that

even illustrates the modes of Aristides. The scales noticed in the

_Problems_ (xix. 7, 32, 47) are hepta-chord, and generally of the

compass of an octave. In one passage of Plutarch (_De Mus._ c. 11)

there is a description--quoted from Aristoxenus--of an older kind of

Enharmonic, in which the semitones had not yet been divided into

quarter-tones. In another chapter (c. 19) he speaks of the omission

of the Tritê and also of the Nêtê as characteristic of a form of

music called the [Greek: spondeiakos tropos]. It may be said that in

the Ionian and Syntono-lydian of Aristides the Enharmonic Tritê

(_b*_) and the Nêtê (_e_) are wanting. But the Paramesê (_b_) is also

wanting in both these modes. And the Ionian is open to the

observation already made with regard to the Phrygian, viz. that the

two highest notes (_c d_) involve a mixture of Diatonic with

Enharmonic scale. We may add that Plutarch (who evidently wrote with

Aristoxenus before him) gives no hint that the omission of these

notes was characteristic of any particular modes.

6. It is impossible to decide the question of the modes of Aristides

without some reference to another statement of the same author. In

the chapter which treats of Intervals (pp. 13-15 Meib.) he gives the

ancient division of two octaves, the first into dieses or

quarter-tones, the second into semitones. The former of these

([Greek: hê para tois archaiois kata dieseis harmonia]) is as

follows:

[1] 2 3 4 5 6 7 8 9 10 11 12

[Symbols: -o < 6 1-1 9 L J A V E 3]

[Symbols: o- > 9 n 6 J r- v 0 3 E]

13 14 15 16 17 18 19 20 21 22 23 24

[Symbols: 3.. N 1-1 3 E , '- cc > < Y Y]

[Symbols: r a..1-1 E 3 A ,'- 33 < Y]

After every allowance has been made for the probability that these

signs or some of them have reached us in a corrupt form, it is

impossible to reduce them to the ordinary notation, as Meibomius

sought to do. The scholar who first published them as they stand in

the MSS. (F. L. Perne, see Bellermann, _Tonleitern_, p. 62) regarded

them as a relic of a much older system of notation. This is in

accordance with the language of Aristides, and indeed is the only

view consistent with a belief in their genuineness. They are too like

the ordinary notation to be quite independent, and cannot have been

put forward as an improvement upon it. Are they, then, earlier?

Bellermann has called our attention to a peculiarity which seems

fatal to any such claim. They consist, like the ordinary signs, of

two sets, one written above the other, and in every instance one of

the pair is simply a reversed or inverted form of the other. With the

ordinary signs this is not generally the case, since the two sets,

the vocal and instrumental notes, are originally independent. But it

is the case with the three lowest notes, viz. those which were added

to the series at a later time. When these additional signs were

invented the vocal and instrumental notes had come to be employed

together. The inventor therefore devised a pair of signs in each

case, and not unnaturally made them correspond in form. In the scale

given by Aristides this correspondence runs through the whole series,

which must therefore be of later date. But if this is so, the

characters can hardly represent a genuine system of notation. In

other words, Aristides must have been imposed upon by a species of

forgery.

7. Does the fragment of the _Orestes_ tell for or against the Modes

described by Aristides?

The scale which is formed by the notes of the fragment agrees, so far

as it extends, with two of the scales now in question, viz. the

Phrygian and the Dorian. Taking the view of its tonality expressed in

the last chapter (p. 93), we should describe it as the Dorian scale

of Aristides with the two highest notes omitted. The omission, in so

short a fragment, is of little weight; and the agreement in the use

of an additional lower note (Hyper-hypatê) is certainly worth notice.

On the other hand, the Dorian is precisely the mode, of those given

in the list of Aristides, which least needs defence, as it is the

most faithful copy of the Perfect System. Hence the fact that it is

verified by an actual piece of music does not go far in support of

the other scales in the same list.

If our suspicions are well-founded, it is evident that they seriously

affect the genuineness of all the antiquarian learning which

Aristides sets before his readers, and in particular of his account

of the Platonic modes. I venture to think that they go far to deprive

that account of the value which it has been supposed to have for the

history of the earliest Greek music.

For the later period, however, to which Aristides himself belongs,

these apocryphal scales are a document of some importance. The fact

that they do not agree entirely with the species of the Octave as

given by the pseudo-Euclid leads us to think that they may be

influenced by scales used in actual music. This applies especially to

the Phrygian, which (as has been shown) is really diatonic. The

Ionian, again, is perhaps merely an imperfect form of the same scale,

viz. the octave _d-d_ with lower _d_ omitted. And the Syntono-lydian

may be the Lydian diatonic octave _c-c_ with a similar omission of

the lower _c_. § 35. _Evidence for Scales of different species._

The object of the foregoing discussion has been to show, in the first

place, that there was no such distinction in ancient Greek music as

that which scholars have drawn between Modes ([Greek: harmoniai]) and

Keys ([Greek: tonoi] or [Greek: tropoi]): and, in the second place,

that the musical scales denoted by these terms were primarily

distinguished by difference of _pitch_,--that in fact they were so

many keys of the standard scale known in its final form as the

Perfect System. The evidence now brought forward in support of these

two propositions is surely as complete as that which has been allowed

to determine any question of ancient learning.

The Modes of Ancient Greek Music · 第 7 / 10 段