Περὶ τῆς ἐν Τιμαίῳ ψυχογονίας

Sections

1 – 1 1 – 1 1 – 1 2 – 2 2 – 3 3 – 3 4 – 4 5 – 5 6 – 6 7 – 7 7 – 7 8 – 8 9 – 9 9 – 9 10 – 10 11 – 11 12 – 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 29 – 30 30 – 30 31 – 31 31 – 31 32 – 32 32 – 32 33 – 33 33 – 33

İngilizce Yunanca

12 By addition thus: two and three make five, four and nine make thirteen, eight and twenty-seven make thirty-five. Of all which numbers the Pythagoreans called five the nourisher, that is to say, the breeding or fostering sound, believing a fifth to be the first of all the intervals of tones which could be sounded. But as for thirteen, they called it the remainder, despairing, as Plato himself did, of being ever able to divide a tone into equal parts. Then five and thirty they named harmony, as consisting of the two cubes eight and twenty-seven, the first that rise from an odd and an even number, as also of the four numbers, six, eight, nine, and twelve, comprehending both harmonical and arithmetical proportion. Which nevertheless will be more conspicuous, being made out in a scheme to the eye.