Didymos the musician

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Didymos the musician was a Greek music theorist of the first century BC.

His work on music theory has only been passed down indirectly through Porphyrios and Ptolemy . Among them are its tetrachords in string lengths, from which the interval proportions can be calculated as follows:

diatonic tetrachord: (16:15) (10: 9) (9: 8)
chromatic tetrachord: (16:15) (25:24) (6: 5)
enharmonic tetrachord: (32:31) (31:30) (5: 4)

Like Archytas von Taranto, he used the pure major third , but was the first to use it in the diatonic as the sum of the major and minor whole tones , because proportionally (10: 9) × (9: 8) = 5: 4. The difference between the two whole tones is the so-called syntonic comma , which is sometimes also referred to as the didymic comma, although Didymos was not talking about it.

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