31867edo: Difference between revisions
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The '''31867 edo''' divides the octave into 31867 equal parts of 0.03765651 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[15601edo|15601]], before [[79335edo|79335]], and has a fifth which is about 0.00000039 cents compressed. 31867edo is consistent through the [[21-odd-limit|21-odd limit]]. | The '''31867 edo''' divides the octave into 31867 equal parts of 0.03765651 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[15601edo|15601]], before [[79335edo|79335]], and has a fifth which is about 0.00000039 cents compressed. 31867edo is consistent through the [[21-odd-limit|21-odd limit]], tempering out |305 -106 -59> and |-122 285 -142> in the 5-limit; |-7 30 -9 -7>, |51 -13 -1 -10>, and |-8 2 -62 53> in the 7-limit; 6576668672/6576582375, 13841287201/13841203200, 11816941917501/11816406250000, and 28247524900000/28245855390489 in the 11-limit; 123201/123200, 1990656/1990625, 72773428/72772425, 1977326743/1977300000, and 6866455078125/6866343676192 in the 13-limit. | ||
[[Category:Edo]] | [[Category:Edo]] | ||
Revision as of 22:43, 1 April 2019
The 31867 edo divides the octave into 31867 equal parts of 0.03765651 cents each. It is the denominator of the next convergent for log23 past 15601, before 79335, and has a fifth which is about 0.00000039 cents compressed. 31867edo is consistent through the 21-odd limit, tempering out |305 -106 -59> and |-122 285 -142> in the 5-limit; |-7 30 -9 -7>, |51 -13 -1 -10>, and |-8 2 -62 53> in the 7-limit; 6576668672/6576582375, 13841287201/13841203200, 11816941917501/11816406250000, and 28247524900000/28245855390489 in the 11-limit; 123201/123200, 1990656/1990625, 72773428/72772425, 1977326743/1977300000, and 6866455078125/6866343676192 in the 13-limit.