446edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>FREEZE
No edit summary
m Cleanup
Line 1: Line 1:
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|optimal patent val]] for the 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.


'''PRIME FACTORIZATION:'''
Prime factorization: [[2edo|2]] × [[223edo|223]].


[[2edo|2]] * [[223edo|223]]     [[Category:hemimean]]
[[Category:Equal divisions of the octave]]
[[Category:Hemimean]]
[[Category:Sengagen]]

Revision as of 05:00, 26 January 2021

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.