136edo: Difference between revisions

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136edo is closely related to [[68edo]], but the [[patent val]]s differ on the [[mapping]] for 13. Using this val, it is [[enfactoring|enfactored]] in the 11-limit, [[tempering out]] [[121/120]], [[176/175]], [[245/243]], and [[1375/1372]]. It tempers out [[169/168]] and [[847/845]] in the 13-limit; [[136/135]], [[154/153]], [[256/255]], [[561/560]], and [[1089/1088]] in the 17-limit; [[190/189]], [[343/342]], [[361/360]], 363/361, and [[400/399]] in the 19-limit.

Using the 136e val, it tempers out 2560/2541 in the 11-limit; 169/168, [[352/351]], 832/825, [[1001/1000]], and [[1716/1715]] in the 13-limit. Using the 136ef val, it tempers out [[196/195]], [[325/324]], [[364/363]], [[512/507]], and [[625/624]] in the 13-limit.

Using the 136e val, it tempers out 2560/2541 in the 11-limit; [[169/168]], [[352/351]], [[832/825]], [[1001/1000]], and [[1716/1715]] in the 13-limit. Using the 136ef val, it tempers out [[196/195]], [[325/324]], [[364/363]], [[512/507]], and [[625/624]] in the 13-limit.

Using the 136b val, it tempers out [[81/80]], [[99/98]], [[126/125]], and 136410197/134217728 in the 11-limit; [[847/845]], 2704/2695, 3042/3025, 5445/5408, and 15379/15360 in the 13-limit, making it close to optimal as an 11-limit [[meantone]] tuning [http://www.tonalsoft.com/enc/m/meantone-error.aspx | by some metrics].

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 edo is closely related to [[68edo]], but the [[patent val]]s differ on the [[mapping]] for 13. Using this val, it is [[enfactoring|enfactored]] in the 11-limit, [[tempering out]] [[121/120]], [[176/175]], [[245/243]], and [[1375/1372]]. It tempers out [[169/168]] and [[847/845]] in the 13-limit; [[136/135]], [[154/153]], [[256/255]], [[561/560]], and [[1089/1088]] in the 17-limit; [[190/189]], [[343/342]], [[361/360]], 363/361, and [[400/399]] in the 19-limit.
-Using the 136e val, it tempers out 2560/2541 in the 11-limit; 169/168, [[352/351]], 832/825, [[1001/1000]], and [[1716/1715]] in the 13-limit. Using the 136ef val, it tempers out [[196/195]], [[325/324]], [[364/363]], [[512/507]], and [[625/624]] in the 13-limit.
+Using the 136e val, it tempers out 2560/2541 in the 11-limit; [[169/168]], [[352/351]], [[832/825]], [[1001/1000]], and [[1716/1715]] in the 13-limit. Using the 136ef val, it tempers out [[196/195]], [[325/324]], [[364/363]], [[512/507]], and [[625/624]] in the 13-limit.
 Using the 136b val, it tempers out [[81/80]], [[99/98]], [[126/125]], and 136410197/134217728 in the 11-limit; [[847/845]], 2704/2695, 3042/3025, 5445/5408, and 15379/15360 in the 13-limit, making it close to optimal as an 11-limit [[meantone]] tuning [http://www.tonalsoft.com/enc/m/meantone-error.aspx | by some metrics].