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These three classes differ in their arrangement of the tetrachord. In the enharmonic, the tetrachord consists of two tones and two "dieses." A diesis is a quarter tone; hence in a semitone there are included two dieses. In the chromatic there are two semitones arranged in succession, and the third interval is a tone and a half.

They had nothing in common save their great love of art and their distrust of established forms. Berlioz abhorred enharmonic modulations, dissonances resolved indefinitely one after another, continuous melody and all current practices of futuristic music.

No man before or since, not even those practitioners of dissonance and martyrs to the enharmonic scale, Cézanne, Gauguin, or Van Gogh, ever matched and modulated such widely disparate tints; no man before could extract such magnificent harmonies from such apparently irreconcilable tones. Monticelli thought in colour and was a master of orchestration, one who went further than Liszt.

The only writings by Alypius now remaining are his Introduction to Music; in which he explains the notation of the fifteen modes or tones in their respective kinds of diatonic, chromatic, and enharmonic. His signs are said to be Pythagorean. They are in pairs, of which one is thought to represent the note struck on the lyre, and the other the tone of the voice to be sung thereto.

These enharmonic passages recur to satiety, and the abuse of the plagal cadence deprives it of its religious solemnity. "I know, of course, that every musician has certain forms to which he drifts back in spite of himself; he should watch himself so as to avoid that blunder. A picture in which there were no colors but blue and red would be untrue to nature, and fatigue the eye.

He wrote: "Now vaporously illumined by the crepuscular light of a magical sky on the boundaries of the major and minor modes, now seeming to spring from the bowels of the earth with sepulchral inflexions, melody moves with ease on the serried degrees of the enharmonic scales.

Two fine works, "Charles VI." and "Le Val d'Andorre," succeeded at intervals of a few years; and in 1849 the noble music to Æschylus's "Prometheus Bound" was written with an idea of reproducing the supposed effects of the enharmonic style of the Greeks. Halévy's opera of "The Tempest," written for London, and produced in 1850, rivaled the success of "La Juive."

In Russia, as in every other country, it has had to be sought in the remote Steppes and far-off districts where foreign influences had never penetrated, and by a curious inverse process its harmonies, of course, transmitted orally, were the means of preserving the Byzantine Church tonality long after this "first cause" had accepted chromatic and enharmonic modulations.

The enharmonic mode is an artistic conception, and therefore execution in it has a specially severe dignity and distinction. The chromatic, with its delicate subtlety and with the "crowding" of its notes, gives a sweeter kind of pleasure. In the diatonic, the distance between the intervals is easier to understand, because it is natural.

The metronome is the same in all editions, 160 to the quarter, but speed should give way to breadth at all hazards. Von Bulow is the only editor, to my knowledge, who makes an enharmonic key change in this working-out section. It looks neater, sounds the same, but is it Chopin?