204edo: Difference between revisions

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'''204edo''' is the [[EDO|equal division of the octave]] into 204 parts of 5.8824 [[cent]]s each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 782757789696/762939453125 in the 5-limit; 1728/1715, 3136/3125 and 14348907/14049280 in the 7-limit; 441/440, 1944/1925, 5632/5625, and 35937/35840 in the 11-limit. It [[support]]s the 7-limit [[Hemimean clan|semisept temperament]], and alternative 204e val can support the 11-limit semisept.
'''204edo''' is the [[EDO|equal division of the octave]] into 204 parts of 5.8824 [[cent]]s each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 782757789696/762939453125 in the 5-limit; 1728/1715, 3136/3125 and 14348907/14049280 in the 7-limit; 441/440, 1944/1925, 5632/5625, and 35937/35840 in the 11-limit. It [[support]]s the 7-limit [[Hemimean clan|semisept temperament]], and alternative 204e val can support the 11-limit semisept.


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 21:20, 4 October 2022

← 203edo 204edo 205edo →
Prime factorization 22 × 3 × 17
Step size 5.88235 ¢ 
Fifth 119\204 (700 ¢) (→ 7\12)
Semitones (A1:m2) 17:17 (100 ¢ : 100 ¢)
Consistency limit 3
Distinct consistency limit 3

204edo is the equal division of the octave into 204 parts of 5.8824 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 782757789696/762939453125 in the 5-limit; 1728/1715, 3136/3125 and 14348907/14049280 in the 7-limit; 441/440, 1944/1925, 5632/5625, and 35937/35840 in the 11-limit. It supports the 7-limit semisept temperament, and alternative 204e val can support the 11-limit semisept.