Greek Philosophy: Part I: Thales to Plato by John Burnet

By John Burnet

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Andrews University Publications, No. ), p. 189. Professor Taylor has not cited the €Ϊδη τον δια πασών in confirmation of his view, but it seems to me important, seeing that we have the express authority of Aristoxenos for eldoç = σχήμα in that case. NUMBERS 51 its substantive κατάσ-τασιή is also applied to the individual constitution of a given body. It is surely natural to interpret these uses of the word in the light of the " figures of the octave " explained above. T h e opposites on which health and disease depend may combine in various patterns^ as it were, and such variation of pattern is also the explanation of the differences between the constitutions («ταταστάσεις) of individual patients.

It is expressed by the ratio 3 : 2 (ημιόλιος λόγος), (3) When he took a length of string one-third again as long as that which gave the high Mi, it gave Si. That is the interval which we call the fourth and the Greeks called diatessaron (βta τεσσάρων, sc. χορδών). It is expressed by the ratio 4 : 3 (επίτριτος λόγος). (4) The compass {μέγεθος) of the octave is a fifth and a fourth (fx-J- = and the note which is a fifth from the nètë is a fourth from the hypatê, and vice versa. ). This is called thé tone " (TOVOÇ) or pitch par excellence (probably from its importance in attuning the two tetrachords to one another).

Nor was his hypothesis without a certain audacious grandeur. H e supposed that the sun, moon, and stars were really rings of fire surrounding the earth. W e do not see them as rings, however, because they are encased in " a i r " or mist. " W e note here the beginning of the theory that the heavenly bodies are carried round on rings, a theory which held its ground till Eudoxos replaced the rings by spheres. W e are also told that Anaximander noted the obliquity of these rings to what we should call the plane of the equator.

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