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TES: The largest network of teachers in the world

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## 200 tone equal temperament

## 200 EDO divides the octave into 200 parts of exactly

6 centseach, and contains a perfect fifth of exactly702 centsand a perfect fourth of exactly498cents, 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