199edo: Difference between revisions
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== Theory == | |||
Using the [[patent val]], the equal temperament [[tempering out|tempers out]] 2109375/2097152 ([[semicomma]]) and 31381059609/30517578125 ([[mowgli comma]]) in the 5-limit; [[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. | Using the [[patent val]], the equal temperament [[tempering out|tempers out]] 2109375/2097152 ([[semicomma]]) and 31381059609/30517578125 ([[mowgli comma]]) in the 5-limit; [[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. | ||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
199edo is the 46th [[prime edo]]. | 199edo is the 46th [[prime edo]]. | ||
== Instruments == | |||
* [[Skip fretting system 199 11 16]] | |||