200edo: Difference between revisions
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=<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 [[ | 200 [[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 and the quartemka, |2 -32 21> in the 5-limit and the gamelisma, 1029/1024, in the 7-limit, so that it supports [[Schismatic_family#Guiron|guiron temperament]]. | ||
<u>'''200 tone equal modes:'''</u> | <u>'''200 tone equal modes:'''</u> | ||
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34 34 15 34 34 34 15 = [[5L_2s|Pythagorean tuning]] | 34 34 15 34 34 34 15 = [[5L_2s|Pythagorean tuning]] | ||
32 32 20 32 32 32 20 = [[5L_2s|Meantone tuning]] in the same way of [[ | 32 32 20 32 32 32 20 = [[5L_2s|Meantone tuning]] in the same way of [[50edo]] | ||
27 27 27 27 27 27 27 11 = [[7L_1s|Porcupine tuning]] | 27 27 27 27 27 27 27 11 = [[7L_1s|Porcupine tuning]] | ||
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26 26 26 9 26 26 26 26 9 = [[7L_2s|Superdiatonic tuning]] | 26 26 26 9 26 26 26 26 9 = [[7L_2s|Superdiatonic tuning]] | ||
24 24 24 16 24 24 24 24 16 = [[7L_2s|Superdiatonic tuning]] in the same way of [[ | 24 24 24 16 24 24 24 24 16 = [[7L_2s|Superdiatonic tuning]] in the same way of [[25edo]] | ||
22 22 8 22 22 22 8 22 22 22 8 = [[8L_3s|Sensi]] | 22 22 8 22 22 22 8 22 22 22 8 = [[8L_3s|Sensi]] | ||
Revision as of 12:45, 28 May 2019
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 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
leads to these further divisors
Music
Fugue on Elgar’s Enigma Theme play by Claudi Meneghin