305edo: Difference between revisions

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The 305 equal temperament divides the octave into 305 equal parts of 3.934 cents each. It has a flat tendency, with the 3, 5, 7 and 11 of the patent val all flat, and it tempers out 2109375/2097152, the semicomma (orson comma) in the 5-limit, 2401/2400 in the 7-limit, and 243/242, 441/440, and 540/539 in the 11-limit. It provides the optimal patent val for 7- and 11-limit [[Breedsmic_temperaments#Neominor|neominor temperament]]. It factors as 305 = 5*61.
The 305 equal temperament divides the octave into 305 equal parts of 3.934 cents each. It has a flat tendency, with the 3, 5, 7 and 11 of the patent val all flat, and it tempers out 2109375/2097152, the semicomma (orson comma) in the 5-limit, 2401/2400 in the 7-limit, and 243/242, 441/440, and 540/539 in the 11-limit. It provides the optimal patent val for 7- and 11-limit [[Breedsmic_temperaments#Neominor|neominor temperament]]. It factors as 305 = 5*61.


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

Revision as of 21:49, 4 October 2022

← 304edo 305edo 306edo →
Prime factorization 5 × 61
Step size 3.93443 ¢ 
Fifth 178\305 (700.328 ¢)
Semitones (A1:m2) 26:25 (102.3 ¢ : 98.36 ¢)
Dual sharp fifth 179\305 (704.262 ¢)
Dual flat fifth 178\305 (700.328 ¢)
Dual major 2nd 52\305 (204.59 ¢)
Consistency limit 7
Distinct consistency limit 7

The 305 equal temperament divides the octave into 305 equal parts of 3.934 cents each. It has a flat tendency, with the 3, 5, 7 and 11 of the patent val all flat, and it tempers out 2109375/2097152, the semicomma (orson comma) in the 5-limit, 2401/2400 in the 7-limit, and 243/242, 441/440, and 540/539 in the 11-limit. It provides the optimal patent val for 7- and 11-limit neominor temperament. It factors as 305 = 5*61.