But when at last he throws it, the magic sword

"Made lightnings in the splendour of the moon

And flashing round and round, and whirl'd in an arch

Shot like a streamer of the northern morn.

So flashed and fell the brand Excalibur."

Again, when Sir Bedivere, carrying the dying king, stumbles

up over the icy rocks to the shore, his armour clashing

and clanking, the verse uses all the clangour of cr--ck, the

slipping s's too, and the vowel _a_ is used in all its changes;

when the shore is finally reached, the verse suddenly turns

into smoothness, the long _o_'s giving the same feeling of

breadth and calm that modern music would attempt if it treated

the same subject.

Here are the lines:

Dry clash'd his harness in the icy caves

And barren chasms, and all to left and right

The bare, black cliff clang'd round him as he based

His feet on juts of slippery crag that rang

Sharp-smitten with the dint of armed heels.

And on a sudden, lo! the level lake

And the long glories of the winter moon.

When we think of the earlier Greek plays, we must imagine

the music of the words themselves, the cadenced voices of

the protagonist or solitary performer, and the chorus, the

latter keeping up a rhythmic motion with the words. This,

I am convinced, was the extent of Greek music, so far as that

which was ascribed to the older poets is concerned.

Instrumental music was another thing, and although we possess

no authentic examples of it, we know what its scales consisted

of and what instruments were in use. It would be interesting

to pass in review the tragedies of Aeschylus and Sophocles,

the odes of Sappho and Pindar, those of the latter having a

novel periodicity of form which gives force to the suggestion

that these choric dances were the forerunners of our modern

instrumental forms.

Such matters, however, take us from our actual subject, and we

will therefore turn to Pythagoras, at Crotona, in Italy (about

500 B.C.), whom we find already laying down the rules forming

a mathematical and scientific basis for the Greek musical scale.

More than three centuries had passed since Homer had chanted

his "Iliad" and "Odyssey," and in the course of the succeeding

fifty years some of the master spirits of the world were to

appear. When we think of Pythagoras, Gautama, Buddha, Confucius,

Aeschylus, Sophocles, Sappho, Pindar, Phidias, and Herodotus as

contemporaries--and this list might be vastly extended--it seems

as if some strange wave of ideality had poured over mankind.

In Greece, however, Pythagoras's theory of metempsychosis

(doctrine of the supposed transmigration of the soul from

one body to another) was not strong enough to make permanent

headway, and his scientific theories unhappily turned music

from its natural course into the workshop of science, from

which Aristoxenus in vain attempted to rescue it.

At that time Homer's hexameter had begun to experience many

changes, and from the art of rhythm developed that of rhyme and

form. The old lyre, from having four strings, was developed by

Terpander, victor in the first musical contest at the feast

of Apollo Carneius, into an instrument of seven strings, to

which Pythagoras[05] added an eighth, Theophrastus a ninth,

and so on until the number of eighteen was reached.

Flute and lyre playing had attained a high state of excellence,

for we hear that Lasus, the teacher of the poet Pindar

(himself the son of a Theban flute player), introduced into

lyre playing the runs and light passages which, until that time,

it had been thought possible to produce only on the flute.

The dance also had undergone a wonderful development

rhythmically; for even in Homer's time we read in "The Odyssey"

of the court of Alcinoues at Phocaea, how two princes danced

before Ulysses and played with a scarlet ball, one throwing

it high in the air, the other always catching it with his

feet off the ground; and then changing, they flung the ball

from one to the other with such rapidity that it made the

onlookers dizzy. During the play, Demidocus chanted a song,

and accompanied the dance with his lyre, the players never

losing a step. As Aristides (died 468 B.C.), speaking of

Greek music many centuries later said: "Metre is not a thing

which concerns the ear alone, for in the dance it is to be

_seen_." Even a statue was said to have silent rhythm, and

pictures were spoken of as being musical or unmusical.

Already in Homer's time, the Cretans had six varieties of

[5/4] time to which they danced:

[4 8 4 | 4 8 8 8 | 8 4 8 8 | 8 8 4 8 | 8 8 8 4 | 8 8 8 8 8]

[- ' - | - ' ' ' | ' - ' ' | ' ' - ' | ' ' ' - | ' ' ' ' ']

The first was known as the Cretic foot, being in a way the model

or type from which the others were made; but the others were

called paeons. The "Hymn to Apollo" was called a paeon or paean,

for the singers danced in Cretic rhythms as they chanted it.

There were many other dances in Greece, each having its

characteristic rhythm. For instance, the Molossian dance

consisted of three long steps, [- - -] ([3/2]); that of the

Laconians was the dactyl, [- ' '] ([4/4]), which was sometimes

reversed [' ' -] ([4/4]). In the latter form it was also the

chief dance of the Locrians, the step being called anapaest.

From Ionia came the two long and two short steps, [- - ' '],

([3/4: 4 4 8 8]), or [' ' - -] ([3/4: 8 8 4 4]), which were

called Ionic feet. The Doric steps consisted primarily of a

trochee and a spondee, [- ' - -] or [7/8] time. These values,

however, were arranged in three other different orders, namely,

[' - - - | - - ' - | - - - '] and were called the first,

second, third, or fourth epitrite, according to the positions

of the short step. The second epitrite was considered the most

distinctly Doric.

The advent of the Dionysian[06] festivals in Greece threatened

to destroy art, for those wild Bacchic dances, which are to

be traced back to that frenzied worship of Bel and Astarte

in Babylon, wild dances amenable only to the impulse of the

moment, seemed to carry everything before them. Instead of that,

however, the hymns to Bacchus, who was called in Phoenicia

the flute god, from which the characteristics of his worship

are indicated, were the germs from which tragedy and comedy

developed, and the mad bacchanalian dances were tamed into

dithyrambs. For the Corybantes, priests of the goddess Cybele,

brought from Phrygia, in Asia Minor, the darker form of this

worship; they mourned for the death of Bacchus, who was supposed

to die in winter and to come to life again in the spring. When

these mournful hymns were sung, a goat was sacrificed on the

altar; thus the origin of the word "tragedy" or "goat song"

(_tragos_, goat, and _odos_, singer). As the rite developed,

the leader of the chorus would chant the praises of Dionysus,

and sing of his adventures, to which the chorus would make

response. In time it became the custom for the leader,

or coryphaeus, to be answered by one single member of the

chorus, the latter being thus used merely for the chanting

of commentaries on the narrative. The answerer was called

"hypocrite," afterward the term for actor.

This was the material from which Aeschylus created the

first tragedy, as we understand the term. Sophocles (495-406

B.C.) followed, increasing the number of actors, as did also

Euripides (480-406 B.C.).

Comedy (_komos_, revel, and _odos_, singer) arose from the

spring and summer worship of Bacchus, when everything was a

jest and Nature smiled again.

The dithyramb (_dithyrambos_ or Bacchic step, [- ' ' -])

brought a new step to the dance and therefore a new element

into poetry, for all dances were choric, that is to say they

were sung as well as danced.

Arion was the first to attempt to bring the dithyramb into

poetry, by teaching the dancers to use a slower movement and to

observe greater regularity in their various steps. The Lydian

flute, as may be supposed, was the instrument which accompanied

the dithyramb, associated with all kinds of harsh, clashing

instruments, such as cymbals, tambourines, castanets. These

Arion tried to replace by the more dignified Grecian lyre;

but it was long before this mad dance sobered down to regular

rhythm and form. From Corinth, where Arion first laboured,

we pass to Sicyon, where the taming of the dithyramb into an

art form was accomplished by Praxilla, a poetess who added a

new charm to the lilt of this Bacchic metre, namely, rhyme.

And this newly acquired poetic wealth was in keeping with

the increasing luxury and magnificence of the cities, for

we read in Athenaeus and Diodorus that Agrigentum sent to

the Olympic games three hundred chariots, drawn by white

horses. The citizens wore garments of cloth of gold, and even

their household ornaments were of gold and silver; in their

houses they had wine cellars which contained three hundred

vats, each holding a hundred hogsheads of wine. In Sybaris

this luxury reached its height, for the Sybarites would not

allow any trade which caused a disagreeable sound, such as

that of the blacksmith, carpenter, or mason, to be carried on

in their city limits. They dressed in garments of deep purple,

tied their hair in gold threads, and the city was famed for

its incessant banqueting and merrymaking. It was such luxury

as this that Pindar found at the court of Hiero, at Syracuse,

whither Aeschylus had retired after his defeat by Sophocles

at the Dionysian Festival at Athens.

The worship of Bacchus being at its height at that time, it may

be imagined that wine formed the principal element of their

feasts. And even as the dithyramb had been pressed into the

service of poetry, so was drinking made rhythmic by music. For

even the wine was mixed with water according to musical ratios;

for instance, the paeonic or 3 to 2, [' ' ' -] = [8 8 8 4];

the iambic or 2 to 1, [- '] = [4 8]; dactylic or 2 to 2,

[- ' '] = [4. 8 8]. The master of the feast decided the ratio,

and a flute girl played a prescribed melody while the toast

to good fortune, which commenced every banquet, was being

drunk. By the time the last note had sounded, the great cup

should have gone round the table and been returned to the

master. And then they had the game of the cottabos, which

consisted of throwing the contents of a wine cup high in the

air in such a manner that the wine would fall in a solid mass

into a metal basin. The winner was the one who produced the

clearest musical sound from the basin.

We see from all this that music was considered rather

a beautiful plaything or a mere colour. By itself it was

considered effeminate; therefore the early Greeks always had the

flute player accompanied by a singer, and the voice was always

used with the lyre to prevent the latter appealing directly

to the senses. The dance was corrected in the same manner;

for when we speak of Greek dances, we always mean _choric_

dances. Perhaps the nearest approach to the effect of what

we call music was made by Aeschylus, in the last scene of his

"Persians," when Xerxes and the chorus end the play with one

continued wail of sorrow. In this instance the words take

second place, and the actual sound is depended upon for the

dramatic effect.

The rise and fall of actual instrumental music in Greece may

be placed between 500 and 400 B.C. After the close of the

Peloponnesian War (404 B.C.), when Sparta supplanted Athens as

the leader of Greece, art declined rapidly, and at the time

of Philip of Macedon (328 B.C.) may be said to have been

practically extinct. Then, in place of the dead ashes of art,

the cold fire of science arose; for we have such men as Euclid

(300 B.C.) and his school applying mathematics to musical

sounds, and a system of cold calculation to an art that had

needed all the warmth of emotional enthusiasm to keep it alive.

Thus music became a science. Had it not been for the little

weeds of folk song which managed with difficulty to survive at

the foot of this arid dust heap, and which were destined to be

transformed and finally to bloom into such lovely flowers in

our times, we might yet have been using the art to illustrate

mathematical calculations.

The teaching of Pythagoras was the first step in this

classification of sounds; and he went further than this, for

he also classified the _emotions_ affected by music. It was

therefore a natural consequence that in his teaching he should

forbid music of an emotional character as injurious. When he

came to Crotona, it was to a city that vied with Agrigentum,

Sybaris, and Tarentum in luxury; its chief magistrate wore

purple garments, a golden crown upon his head, and white

shoes on his feet. It was said of Pythagoras that he had

studied twelve years with the Magi in the temples of Babylon;

had lived among the Druids of Gaul and the Indian Brahmins; had

gone among the priests of Egypt and witnessed their most secret

temple rites. So free from care or passion was his face that

he was thought by the people to be Apollo; he was of majestic

presence, and the most beautiful man they had ever seen. So

the people accepted him as a superior being, and his influence

became supreme over science and art, as well as manners.

He gave the Greeks their first scientific analysis of sound.

The legend runs that, passing a blacksmith's shop and

hearing the different sounds of the hammering, he conceived

the idea that sounds could be measured by some such means

as weight is measured by scales, or distance by the foot

rule. By weighing the different hammers, so the story goes,

he obtained the knowledge of harmonics or overtones, namely,

the fundamental, octave, fifth, third, etc. This legend, which

is stated seriously in many histories of music, is absurd, for,

as we know, the hammers would not have vibrated. The anvils

would have given the sound, but in order to produce the octave,

fifth, etc., they would have had to be of enormous proportions.

On the other hand, the monochord, with which students in physics

are familiar, was his invention; and the first mathematical

demonstrations of the effect on musical pitch of length of

cord and tension, as well as the length of pipes and force of

breath, were his.

These mathematical divisions of the monochord, however,

eventually did more to stifle music for a full thousand years

than can easily be imagined. This division of the string

made what we call harmony impossible; for by it the major

third became a larger interval than our modern one, and the

minor third smaller. Thus thirds did not sound well together,

in fact were dissonances, the only intervals which _did_

harmonize being the fourth, fifth, and octave. This system

of mathematically dividing tones into equal parts held good

up to the middle of the sixteenth century, when Zarlino, who

died in 1590, invented the system in use at the present time,

called the _tempered scale_, which, however, did not come into

general use until one hundred years later.

Aristoxenus, a pupil of Aristotle, who lived more than a

century after Pythagoras, rejected the monochord as a means for

gauging musical sounds, believing that the ear, not mathematical

calculation, should be the judge as to which interval sounds

"perfect." But he was unable to formulate a system that

would bring the third (and naturally its inversion the sixth)

among the harmonizing intervals or consonants. Didymus (about

30 B.C.) first discovered that two different-sized whole

tones were necessary in order to make the third consonant;

and Ptolemy (120 A.D.) improved on this system somewhat. But

the new theory remained without any practical effect until

nearly the seventeenth century, when the long respected theory

of the perfection of mathematical calculation on the basis of

natural phenomena was overthrown in favour of actual effect. If

Aristoxenus had had followers able to combat the crushing

influence of Euclid and his school, music might have grown up

with the other arts. As it is, music is still in its infancy,

and has hardly left its experimental stage.

Thus Pythagoras brought order into the music as well as

into the lives of people. But whereas it ennobled the

people, it killed the music, the one vent in life through

which unbounded utterance is possible; its essence is so

interwoven with spirituality that to tear it away and fetter

it with human mathematics is to lower it to the level of mere

utilitarianism. And so it was with Greek music, which was held

subordinate to metre, to poetry, to acting, and finally became

a term of contempt. Pythagoras wished to banish the flute,

as Plato also did later, and the name of flute player was used

as a reproach. I fancy this was because the flute, on account

of its construction, could ignore the mathematical divisions

prescribed for the stringed instruments, and therefore could

indulge in purely emotional music. Besides, the flute was

the chosen instrument of the orgiastic Bacchic cult, and its

associations were those of unbridled license. To be sure, the

voice was held by no mathematical restrictions as to pitch;

but its music was held in check by the words, and its metre

by dancing feet.

Having measured the musical intervals, there still remained

the task of classifying the different manners of singing which

existed in Greece, and using all their different notes to form

a general system. For just as in different parts of Greece

there existed different dances, the steps of which were known

as Lydian, Ionian, Locrian, and Dorian feet, and so on, so the

melodies to which they were danced were known as being in the

Lydian, Ionian, Locrian, or Dorian scale or mode. In speaking

of Hindu music, I explained that what we call a mode consists

of a scale, and that one mode differs from another _only_ in

the position of the semitones in this scale. Now in ancient

Greece there were in use over fifteen different modes, each one

common to the part of the country in which it originated. At the

time of Pythagoras there were seven in general use: the Dorian,

Lydian, Aeolian or Locrian, Hypo- (or low) Lydian, Phrygian,

Hypo- (or low) Phrygian, and Mixolydian or mixed Lydian. The

invention of the latter is attributed to Sappho by Plutarch,

quoting Aristoxenus.

These modes were all invested with individual characters

by the Greeks, just as in the present day we say our major

mode is happy, the minor sad. The Dorian mode was considered

the greatest, and, according to Plato, the only one worthy of

men. It was supposed to have a dignified, martial character. The

Lydian, on the other hand, was all softness, and love songs

were written in it. The Phrygian was of a violent, ecstatic

nature, and was considered as being especially appropriate for

dithyrambs, the metre for the wild bacchanalian dances. For

instance, Aristotle tells how Philoxenus attempted to set

dithyrambic verse to the Dorian mode, and, failing, had to

return to the Phrygian. The Mixolydian, which was Sappho's mode,

was the mode for sentiment and passion. The Dorian, Phrygian,

and Lydian were the oldest modes.

Each mode or scale was composed of two sets of four notes,

called tetrachords, probably derived from the ancient form

of the lyre, which in Homer's time is known to have had four

strings.

Leaving the matter of actual pitch out of the question (for

these modes might be pitched high or low, just as our major

or minor scale may be pitched in different keys), these three

modes were constructed as follows:

Greek Dorian (E F) G A (B C) D E,

that is, semitone, tone, tone.

/

| Phrygian D (E F) G A (B C) D,

| or F[#] (G[#] A) B C[#] (D[#] E) F[#],

Asiatic | that is, tone, semitone, tone.

|

| Lydian C D (E F) G A (B C),

\ that is, tone, tone, semitone.

Thus we see that a tetrachord commencing with a half-tone and

followed by two whole tones was called a Dorian tetrachord;

one commencing with a tone, followed by a half-tone, and again

a tone, constituted a Phrygian tetrachord. The other modes

were as follows: In the Aeolian or Locrian the semitones occur

between the second and third notes, and the fifth and sixth:

[F: b, (c+ d) e (f+ g) a b]

Theraclides Ponticus identifies the Hypodorian with the Aeolian,

but says that the name "hypo-" merely denoted a likeness to

Doric, not to pitch. Aristoxenus denies the identity, and

says that the Hypodorian was a semitone below the Dorian or

Hypolydian. In the Hypophrygian, the semitones occur between

the third and fourth, and sixth and seventh degrees:

[F: c+ d+ (e+ f+) g+ (a+ b) c+']

In the Hypolydian, the semitones occur between the fourth and

fifth, and seventh and eighth: [F: e- f g (a b-) c' (d' e-')]

The Dorian (E), Phrygian (commencing on F[sharp] with the fourth

sharped), and the Lydian (A[flat] major scale) modes we have

already explained. In the Mixolydian, the semitones occur

between the first and second, and fourth and fifth degrees:

[G: (a b-) c' (d' e-') f' g' a']

According to the best evidence (in the works of Ptolemy,

"Harmonics," second book, and Aristides), these were

approximately the actual pitch of the modes as compared one

to another.

And now the difficulty was to weld all these modes together

into one scale, so that all should be represented and yet not

be complicated by what we should call accidentals. This was

accomplished in the following manner, by simple mathematical

means:

We remember that the Dorian, which was the most greatly

favoured mode in Greece, was divided into two tetrachords of

exactly the same proportions, namely, semitone, tone, tone. By

taking the lowest note of the Mixolydian, B, and forming a

Dorian tetrachord on it, B C D E were acquired. Adding to this

another Dorian tetrachord, E F G A (commencing on the last note

of the first), and repeating the same series of tetrachords

an octave higher, we have in all four Dorian tetrachords,

two of which overlap the others. The two middle tetrachords,

constituting the original Dorian mode, were called _disjunct_,

the two outer ones which overlap the middle ones were called

_conjunct_ or _synemmenon_ tetrachords.

If we consider this new scale from octave to octave, commencing

with the lowest note, that is to say from B to B, we find that

it coincides exactly with the Mixolydian mode; therefore this

was called the Mixolydian octave. The octave in this scale

from the second note, C to C, coincides exactly with the Lydian

mode, and was called the Lydian octave; from the third note, D,

up to its octave gives the Phrygian; from the fourth note, E,

the Dorian; from the fifth, F, the Hypolydian; from the sixth,

G, the Hypophrygian; and from the seventh, A, the Aeolian

or Hypodorian octave. Add one note to the lower end of this

universal Greek scale, as it was called, and we see that the

whole tonal system was included within two octaves. To each of

the notes comprising it was given a name partly derived from

its position in the tetrachords, and partly from the fingering

employed in lyre playing, as shown in the diagram on page 87.

The fifteen strings of the _kithara_ were tuned according to

this scale, and the A, recurring three times in it, acquired

something of the importance of a tonic or key note. As yet,

however, this scale allowed of no transposition of a mode to

another pitch; in order to accomplish this the second tetrachord

was used as the first of another similar system. Thus,

considering the second tetrachord, E F G A, as first of the

new scale, it would be followed by A B[flat] C D, and the

two disjunct tetrachords would be formed. Followed by the two

upper conjunct tetrachords, and the _proslambanomenos_ added,

our system on a new pitch would be complete. This procedure

has come down almost unchanged to our times; for we have but

two modes, major and minor, which are used on every pitch,

constituting various keys. These Greek modes are the basis

on which all our modern ideas of tonality rest; for our major

mode is simply the Greek Lydian, and our minor mode the Aeolian.

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