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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,
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