200edo

200edo 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 is essentially a perfect EDO for Carlos Alpha, even up many octaves. It tempers out the schisma, 32805/32768 and the quartemka, |2 -32 21> 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