38. But our musicians nowadays have so utterly exploded the most noble of all the moods, which the ancients greatly admired for its majesty, that hardly any among them make the least account of enharmonic distances. And so negligent and lazy are they grown, as to believe the enharmonic diesis to be too contemptible to fall under the apprehension of sense, and they therefore exterminate it out of their compositions, deeming those to be triflers that have any esteem for it or make use of the mood itself. For proof of which they think they bring a most powerful argument, which rather appears to be the dulness of their own senses; as if whatever fled their apprehensions were to be rejected as useless and of no value. And then again they urge that its magnitude cannot be perceived through its concord, like that of the semitone, tone, and other distances; not understanding, that at the same time they throw out the third, fifth, and seventh, of which the one consists of three, the other of five, and the last of seven dieses. And on the same principle all the intervals that are odd should be rejected as useless, inasmuch as none of them is perceptible through concord; and this would include all which by means of even the smallest diesis are measured by odd numbers. Whence it necessarily follows, that no division of the tetrachord would be of use but that which is to be measured by all even intervals, as in the syntonic diatonic, and in the toniaean chromatic. 39. But these opinions are not only contrary to appearance, but repugnant one to another. For they themselves chiefly make use of those divisions of tetrachords in which most of the intervals are either unequal or irrational. To which purpose they always soften both lichanos and paranete, and lower even some of the standing sounds by an irrational interval, bringing the trite and paranete to approach them. And especially they applaud the use of those systems in which most of the intervals are irrational, by relaxing not only those tones which are by nature movable, but also some which are properly fixed; as it is plain to those that rightly understand these things. 40. Now for the advantages that accrue to men from the use of music, the famous Homer has taught it us, introducing Achilles, in the height of his fury toward Agamemnon, appeased by the music which he learned from Chiron, a person of great wisdom. For thus says he:— Amused at ease, the god-like man they found, Pleased with the solemn harp’s harmonious sound. The well-wrought harp from conquered Thebe came; Of polished silver was its costly frame. With this he soothes his angry soul, and sings The immortal deeds of heroes and of kings.[67]