197ed12: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''[[Ed12|Division of the twelfth harmonic]] into 197 equal parts''' (197ED12) is very nearly identical to [[55edo|55 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 1.05 [[cent]]s stretched and the step size is about 21.84 cents. | '''[[Ed12|Division of the twelfth harmonic]] into 197 equal parts''' (197ED12) is very nearly identical to [[55edo|55 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 1.05 [[cent]]s stretched and the step size is about 21.84 cents. | ||
== Theory == | |||
This tuning tempers out [[81/80]] in the 5-limit; [[121/120]] in the 11-limit; 91/90 and 169/168 in the 13-limit; 154/153 in the 17-limit; 133/132 and 76/75 in the 19-limit; 117/115, 161/160, and 162/161 in the 23-limit; [[116/115]], 117/116, and 147/145 in the 29-limit; 93/92 and 156/155 in the 31-limit; 111/110 in the [[37-limit]]; 86/85 and 129/128 in the 43-limit; 141/140 in the 47-limit; 123/122 in the 61-limit; 143/142 in the 71-limit; 146/145 and 147/146 in the 73-limit; 166/165 in the 83-limit; 98/97 in the 97-limit; 101/100 in the 101-limit; 103/102 in the 103-limit; 107/106 in the 107-limit; 114/113 in the 113-limit; and 127/125 in the 127-limit. | |||
==Harmonics== | ==Harmonics== | ||