195edo: Difference between revisions
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'''195edo''' is the [[EDO|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit. | '''195edo''' is the [[EDO|equal division of the octave]] into 195 parts of 6.1538 cents each. It is [[contorted]] in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 21:18, 4 October 2022
| ← 194edo | 195edo | 196edo → |
195edo is the equal division of the octave into 195 parts of 6.1538 cents each. It is contorted in the 5-limit, tempering out 32805/32768 (schisma), 78732/78125 (sensipent comma), 393216/390625 (würschmidt comma), and 129140163/128000000 (graviton). Using the patent val, it tempers out 1029/1024, 10976/10935, and 395136/390625 in the 7-limit; 243/242, 3773/3750, 4000/3993, and 5632/5625 in the 11-limit; 196/195, 364/363, 729/728, 1001/1000, and 4096/4095 in the 13-limit. Using the 195d val, it tempers out 1728/1715, 177147/175616, and 250047/250000 in the 7-limit; 243/242, 1375/1372, 4000/3993, and 5632/5625 in the 11-limit; 351/350, 640/637, 1188/1183, 1575/1573, and 3584/3575 in the 13-limit. Using the 195ef val, it tempers out 385/384, 441/440, 19712/19683, and 47432/46875 in the 11-limit; 351/350, 847/845, 1287/1280, 1573/1568, and 2197/2187 in the 13-limit.