446edo: Difference between revisions

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The '''446 equal division''' divides the octave into 446 equal parts of 2.691 cents each. It tempers out [[3136/3125]] and [[420175/419904]] in the 7-limit, and provides the [[optimal patent val]] for the [[Hemimean family #Hemimean|hemimean]] temperament tempering out 3136/3125, and [[Hemimean clan #Sengagen|sengagen]], the 49&50 temperament. In the 11-limit it tempers out [[9801/9800]] and gives the optimal patent val for the 50&198 temperament.
The '''446 equal division''' divides the octave into 446 equal parts of 2.691 cents each. It tempers out [[3136/3125]] and [[420175/419904]] in the 7-limit, and provides the [[optimal patent val]] for the [[Hemimean family #Hemimean|hemimean]] temperament tempering out 3136/3125, and [[Hemimean clan #Sengagen|sengagen]], the 49&50 temperament. In the 11-limit it tempers out [[9801/9800]] and gives the optimal patent val for the 50&198 temperament.



Revision as of 05:49, 9 July 2023

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← 445edo 446edo 447edo →
Prime factorization 2 × 223
Step size 2.69058 ¢ 
Fifth 261\446 (702.242 ¢)
Semitones (A1:m2) 43:33 (115.7 ¢ : 88.79 ¢)
Consistency limit 5
Distinct consistency limit 5

The 446 equal division divides the octave into 446 equal parts of 2.691 cents each. It tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides the optimal patent val for the hemimean temperament tempering out 3136/3125, and sengagen, the 49&50 temperament. In the 11-limit it tempers out 9801/9800 and gives the optimal patent val for the 50&198 temperament.

Prime factorization: 2 × 223.