200edo: Difference between revisions
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
=<span style="color: #007261; font-family: Consolas, sans-serif; font-size: 113%;">200 tone equal temperament</span>= | =<span style="color: #007261; font-family: Consolas, sans-serif; font-size: 113%;">200 tone equal temperament</span>= | ||
200 [[EDO|EDO]] divides the octave into 200 parts of exactly '''6 cents''' each, and contains a [[perfect_fifth|perfect fifth]] of exactly '''702 cents''' and a [[Perfect_fourth|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 [[Schismatic_family#Guiron|guiron temperament]].</span> | |||
<u>'''200 tone equal modes:'''</u> | <u>'''200 tone equal modes:'''</u> | ||
Revision as of 09:55, 21 September 2018
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
leads to these further divisors
Music
Fugue on Elgar’s Enigma Theme play by Claudi Meneghin