135edo: Difference between revisions
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'''135edo''' is the [[EDO|equal division of the octave]] into 135 parts of 8.8888 cents each. It tempers out 32805/32768 (schisma) and 30517578125/29386561536 (quintriyo comma) in the 5-limit; 225/224, 3125/3087, and 28824005/28697814 in the 7-limit. It is consistent to the 7-limit, but there is a large relative delta for 5th harmonic. Using the patent val, it tempers out 385/384, 540/539, 2200/2187, and 12005/11979 in the 11-limit; 275/273, 325/324, 352/351, and 729/728 in the 13-limit. Using the 135c val, it tempers out 1594323/1562500 and 50331648/48828125 in the 5-limit; 126/125, 10976/10935, and 589824/588245 in the 7-limit; 176/175, 441/440, 14641/14580, | '''135edo''' is the [[EDO|equal division of the octave]] into 135 parts of 8.8888 cents each. It tempers out 32805/32768 (schisma) and 30517578125/29386561536 (quintriyo comma) in the 5-limit; 225/224, 3125/3087, and 28824005/28697814 in the 7-limit. It is consistent to the 7-limit, but there is a large relative delta for 5th harmonic. Using the patent val, it tempers out 385/384, 540/539, 2200/2187, and 12005/11979 in the 11-limit; 275/273, 325/324, 352/351, and 729/728 in the 13-limit. Using the 135c val, it tempers out 1594323/1562500 and 50331648/48828125 in the 5-limit; 126/125, 10976/10935, and 589824/588245 in the 7-limit; 176/175, 441/440, 14641/14580, 16384/16335 and 117440512/117406179 in the 11-limit; 196/195, 351/350, 352/351, 676/675, and 6656/6655 in the 13-limit. | ||
[[Category:Edo]] | [[Category:Edo]] | ||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||
Revision as of 00:44, 11 September 2020
135edo is the equal division of the octave into 135 parts of 8.8888 cents each. It tempers out 32805/32768 (schisma) and 30517578125/29386561536 (quintriyo comma) in the 5-limit; 225/224, 3125/3087, and 28824005/28697814 in the 7-limit. It is consistent to the 7-limit, but there is a large relative delta for 5th harmonic. Using the patent val, it tempers out 385/384, 540/539, 2200/2187, and 12005/11979 in the 11-limit; 275/273, 325/324, 352/351, and 729/728 in the 13-limit. Using the 135c val, it tempers out 1594323/1562500 and 50331648/48828125 in the 5-limit; 126/125, 10976/10935, and 589824/588245 in the 7-limit; 176/175, 441/440, 14641/14580, 16384/16335 and 117440512/117406179 in the 11-limit; 196/195, 351/350, 352/351, 676/675, and 6656/6655 in the 13-limit.