Περὶ τῆς ἐν Τιμαίῳ ψυχογονίας

Lines

1 – 1 1 – 2 2 – 3 3 – 3 4 – 4 5 – 5 6 – 6 7 – 7 7 – 7 8 – 8 9 – 9 9 – 9 10 – 10 11 – 12 12 – 12 13 – 13 14 – 14 15 – 15 16 – 16 16 – 16 17 – 17 18 – 18 19 – 19 20 – 20 21 – 21 22 – 22 23 – 23 23 – 23 24 – 24 25 – 25 26 – 26 26 – 26 27 – 27 27 – 27 28 – 28 29 – 29 30 – 30 31 – 31 31 – 31 32 – 32 32 – 32 33 – 33 33 – 33

İngilizce Yunanca

12 Admit a right-angled parallelogram, A B C D, the lesser side of which A B consists of five, the longer side A C contains seven squares. Let the lesser division be unequally divided into two and three squares, marked by E; and the larger division in two unequal divisions more of three and four squares, marked by F. Thus A E F G comprehends six, E B G I nine, F G C H eight, and G I H D twelve. By this means the whole parallelogram, containing thirty-five little square areas, comprehends all the proportions of the first concords of music in the number of these little squares. For six is exceeded by eight in a sesquiterce proportion (3:4), wherein the diatessaron is comprehended. And six is exceeded by nine in a sesquialter proportion (2:3), wherein also is included the fifth. Six is exceeded by twelve in duple proportion (1:2), containing the octave; and then lastly, there is the sesquioctave proportion of a tone in eight to nine. And therefore they call that number which comprehends all these proportions harmony. This number is 35, which being multiplied by 6, the product is 210, which is the number of days, they say, which brings those infants to perfection that are born at the seventh month’s end.