199edo: Difference between revisions
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'''199edo''' is the [[EDO|equal division of the octave]] into 199 parts of 6.0302 cents each. It tempers out 2109375/2097152 (semicomma) and 31381059609/30517578125 ([[15edt|mowgli comma]]) in the 5-limit. Using the patent val, it tempers out 225/224 and 1728/1715 in the 7-limit; 243/242, 2420/2401, 3025/3024, and 161051/160000 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 2704/2695 in the 13-limit. Using the 199bef val, it tempers out 245/243, 65536/64827, and 390625/387072 in the 7-limit; 1375/1372, 2560/2541, 5632/5625, and 6875/6804 in the 11-limit; 364/363, 640/637, 676/675, 1625/1617, and 3200/3159 in the 13-limit. Using the 199d val, it tempers out 3136/3125, 33075/32768, and 177147/175000 in the 7-limit; 243/242, 385/384, 3773/3750, and 12005/11979 in the 11-limit; 351/350, 847/845, 1287/1280, and 1575/1573 in the 13-limit. | '''199edo''' is the [[EDO|equal division of the octave]] into 199 parts of 6.0302 cents each. It tempers out 2109375/2097152 (semicomma) and 31381059609/30517578125 ([[15edt|mowgli comma]]) in the 5-limit. Using the patent val, it tempers out 225/224 and 1728/1715 in the 7-limit; 243/242, 2420/2401, 3025/3024, and 161051/160000 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 2704/2695 in the 13-limit. Using the 199bef val, it tempers out 245/243, 65536/64827, and 390625/387072 in the 7-limit; 1375/1372, 2560/2541, 5632/5625, and 6875/6804 in the 11-limit; 364/363, 640/637, 676/675, 1625/1617, and 3200/3159 in the 13-limit. Using the 199d val, it tempers out 3136/3125, 33075/32768, and 177147/175000 in the 7-limit; 243/242, 385/384, 3773/3750, and 12005/11979 in the 11-limit; 351/350, 847/845, 1287/1280, and 1575/1573 in the 13-limit. | ||
Revision as of 21:19, 4 October 2022
| ← 198edo | 199edo | 200edo → |
199edo is the equal division of the octave into 199 parts of 6.0302 cents each. It tempers out 2109375/2097152 (semicomma) and 31381059609/30517578125 (mowgli comma) in the 5-limit. Using the patent val, it tempers out 225/224 and 1728/1715 in the 7-limit; 243/242, 2420/2401, 3025/3024, and 161051/160000 in the 11-limit; 1001/1000, 1188/1183, 1287/1280, and 2704/2695 in the 13-limit. Using the 199bef val, it tempers out 245/243, 65536/64827, and 390625/387072 in the 7-limit; 1375/1372, 2560/2541, 5632/5625, and 6875/6804 in the 11-limit; 364/363, 640/637, 676/675, 1625/1617, and 3200/3159 in the 13-limit. Using the 199d val, it tempers out 3136/3125, 33075/32768, and 177147/175000 in the 7-limit; 243/242, 385/384, 3773/3750, and 12005/11979 in the 11-limit; 351/350, 847/845, 1287/1280, and 1575/1573 in the 13-limit.
199edo is the 46th prime EDO.