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200 tone equal temperament


200 EDO divides the octave into 200 parts of exactly 6 cents each, and contains a perfect fifth of exactly 702 cents and a perfect fourth of exactly 498 cents, which is quite accurate, with an error of about 1/22 cent. It tempers out the schisma, 32805/32768, in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports guiron temperament.


200 tone equal modes:

34 34 15 34 34 34 15 = Pythagorean tuning
32 32 20 32 32 32 20 = Meantone tuning in the same way of 50edo
27 27 27 27 27 27 27 11 = Porcupine tuning
26 26 26 9 26 26 26 26 9 = Superdiatonic tuning
24 24 24 16 24 24 24 24 16 = Superdiatonic tuning in the same way of 25edo
22 22 8 22 22 22 8 22 22 22 8 = Sensi
16 16 16 8 16 16 16 16 8 16 16 16 16 8 = Ketradektriatoh tuning

The prime factorization
200 = 23 * 52
leads to these further divisors
4, 8, 10, 20, 25, 40, 50, 100

Music

Fugue on Elgar’s Enigma Theme play by Claudi Meneghin