321edo: Difference between revisions

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The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths temperament. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 and 2080/2079,  providing the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Hemifamity_family#Akea|akea temperament]].
The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths temperament. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 and 2080/2079,  providing the [[Optimal_patent_val|optimal patent val]] for 11- and 13-limit [[Hemifamity_family#Akea|akea temperament]].


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

Revision as of 21:50, 4 October 2022

← 320edo 321edo 322edo →
Prime factorization 3 × 107
Step size 3.73832 ¢ 
Fifth 188\321 (702.804 ¢)
Semitones (A1:m2) 32:23 (119.6 ¢ : 85.98 ¢)
Consistency limit 3
Distinct consistency limit 3

The 321 equal division divides the octave into 321 equal parts of 3.738 cents each. The patent val tempers out 2401/2400, 5120/5103 and 10976/10935 in the 7-limit, supporting hemififths temperament. In the 11-limit it tempers out 385/384 and 1375/1372, and in the 13-limit 325/324, 352/351, 847/845 and 2080/2079, providing the optimal patent val for 11- and 13-limit akea temperament.