197ed12: Difference between revisions

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 {{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.
+{{ED intro}}
 == 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; and 154/153 in the 17-limit.
+This tuning serves as a stretched version of [[55edo]], improving the accuracy of primes [[3/1|3]], [[7/1|7]], and [[11/1|11]], though prime [[5/1|5]] becomes worse. The [[patent val]]s match through the [[11-limit]], with the [[13-limit]] corresponding to the 55f [[val]] (written with [[wart notation]]). It thus tempers out the same [[comma]]s as 55edo in the 11-limit, and the same commas as 55f in the [[13-limit]].
-==Harmonics==
+== Harmonics ==
 {{Harmonics in equal|197|12|1|prec=2|columns=11}}
 {{Harmonics in equal|197|12|1|prec=2|columns=11|start=12}}