97ed12: Difference between revisions

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 {{Infobox ET}}
-'''[[Ed12|Division of the twelfth harmonic]] into 97 equal parts''' (97ED12) is very nearly identical to [[27edo|27 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.45 [[cent]]s [[stretched and compressed tuning|compressed]] and the step size is about 44.35 cents.
+{{ED intro}}
-==Harmonics==
+== Theory ==
-{{Harmonics in equal|97|12|1|prec=2|columns=15}}
+ed12 is closely related to [[27edo]], but with the 12th harmonic rather than the [[2/1|octave]] being just. This [[stretched and compressed tuning|compresses the octave]] by about 2.45{{c}}. The harmonics that 27edo approximates accurately—3, 5, 7, 13, and 19—are all tuned significantly sharper than just, and 97ed12 improves these approximations.
-[[Category:Edonoi]]
+=== Harmonics ===
+{{Harmonics in equal|97|12|1|intervals=integer|columns=11}}
+{{Harmonics in equal|97|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 97ed12 (continued)}}
+=== Subsets and supersets ===
+ed12 is the 25th [[prime equal division|prime ed12]], following 89ed12 and before 101ed12, so it does not contain any nontrivial subset ed12's.
+== See also ==
+* [[16edf]] – relative edf
+* [[27edo]] – relative edo
+* [[43edt]] – relative edt
+* [[70ed6]] – relative ed6
+* [[90ed10]] – relative ed10
+[[Category:27edo]]