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Updated: June 8, 2025
In some century to come, when the school children will whistle popular tunes in quarter-tones when the diatonic scale will be as obsolete as the pentatonic is now perhaps then these borderland experiences may be both easily expressed and readily recognized. But maybe music was not intended to satisfy the curious definiteness of man.
There is no mistake about this being what I read, for I made a memoria technica about it at the time out of what Rockstro, my old counterpoint master, used to say musicians do in performing the diatonic major scale unaccompanied.
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.
This massage consists of humming exercises, with closed lips. Humming is the sunshine of the voice." The singer illustrated the idea with a short musical figure, consisting of three consecutive tones of the diatonic scale, ascending and descending several times; on each repetition the phrase began on the next higher note of the scale.
The Hindoo musical system of to-day is likewise ascribed largely to female sources. The scale consists of seven chief tones, which are represented by as many heavenly sisters. The tones of the scale are divided into quarters, and the number of quarters in the diatonic scale intervals is four, three, two, four, four, three, and two.
For example, the tones of a chord demand the fundamental tone of the chord; dissonances must be "resolved," must be followed by other tones of their own harmony; the diatonic tones over and above the tonic the "upleader" and "downleader" naturally lead into the tonic; and all the tones demand, either immediately or through the mediation of other tones, the tonic of the scale to which they belong.
But in the quaint jump of the third the Church had no part, clinging closely to a diatonic process. The five-toned scale is indeed so widespread that it cannot be fastened on any one race or even family of nations. The Scotch have it; it is characteristic of the Chinese and of the American Indian.
The European violin is the logical outcome of the appliance of the bow to those progenitors of the pianoforte, the Greek monochord and lyre, precisely as our music is the outgrowth of the diatonic scale developed by the Greeks from those instruments.
Referring again to the Da-eng ceremony, it is interesting to observe that the three different parts of this ceremony are in distinct scales, and that the part sung by the girls alone, is diatonic in character while the other two parts are pentatonic. Conclusion.
Besides various diatonic runs of an inessential and purely ornamental character, there is in the finale actually a plain and full-toned C flat major scale. What other work of the composer could be pointed out exhibiting the like feature?
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