62edo: Difference between revisions

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=~~<span style="color: #edd637; font-family: 'Times New Roman',Times,serif; font-size: 113%;">~~62 tone equal temperament~~</span>~~=

=62 tone equal temperament=

62edo divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for [[31_comma_temperaments#Gallium|gallium]], [[Starling_temperaments#Valentine temperament-Semivalentine|semivalentine]] and [[Meantone_family#Septimal meantone-Unidecimal meantone aka Huygens-Hemimeantone|hemimeantone]] temperaments.

<b>62edo</b> divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for [[31_comma_temperaments#Gallium|gallium]], [[Starling_temperaments#Valentine temperament-Semivalentine|semivalentine]] and [[Meantone_family#Septimal meantone-Unidecimal meantone aka Huygens-Hemimeantone|hemimeantone]] temperaments.

Using the 35\62 generator, which leads to the <62 97 143 173| val, 62edo is also an excellent tuning for septimal mavila temperament; alternatively <62 97 143 172| supports hornbostel.

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-=<span style="color: #edd637; font-family: 'Times New Roman',Times,serif; font-size: 113%;">62 tone equal temperament</span>=
+=62 tone equal temperament=
-edo divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for [[31_comma_temperaments#Gallium|gallium]], [[Starling_temperaments#Valentine temperament-Semivalentine|semivalentine]] and [[Meantone_family#Septimal meantone-Unidecimal meantone aka Huygens-Hemimeantone|hemimeantone]] temperaments.
+<b>62edo</b> divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for [[31_comma_temperaments#Gallium|gallium]], [[Starling_temperaments#Valentine temperament-Semivalentine|semivalentine]] and [[Meantone_family#Septimal meantone-Unidecimal meantone aka Huygens-Hemimeantone|hemimeantone]] temperaments.
 Using the 35\62 generator, which leads to the &lt;62 97 143 173| val, 62edo is also an excellent tuning for septimal mavila temperament; alternatively &lt;62 97 143 172| supports hornbostel.