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3There are three sorts of modulation, the enharmonic (ἁρμονία), the chromatic (χρῶμα), and the diatonic (διάτονος), so called by the Greeks. The enharmonic is so constructed by art, as to be full of majesty and pathos. The chromatic by the skilful contrivance and closeness of its intervals has more sweetness. The diatonic, whose intervals are more simple, is most natural. The disposition of the tetrachords, in these genera, are dissimilar. The enharmonic tetrachord consists of two dieses, and two whole tones; a diesis being the fourth part of a tone, and two of them consequently equal to a semitone. In the chromatic tetrachord, there are two consecutive semitones, and the third interval contains three semitones. The diatonic tetrachord has two consecutive tones, and an interval of a semitone. Thus in each genus, the whole tetrachord is equal to two whole tones and a semitone. But the intervals in each genus, differ when considered separately.
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