124edf: Difference between revisions

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== Theory ==

124edf is closely related to [[212edo]], but with the [[3/2|perfect fifth]] instead of the [[~~2/1|~~octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.117 cents. Like 212edo, 124edf is [[consistent]] to the [[integer limit|16-integer-limit]]. While the [[3-limit]] part is tuned sharp plus a sharper [[23/1|23]], the [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] remain flat but significantly less so than in 212edo, and the flat mappings of [[17/1|17]] and [[19/1|19]] now become closer than the sharp mappings.

124edf is closely related to [[212edo]], but with the [[3/2|perfect fifth]] instead of the [[octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.117 cents. Like 212edo, 124edf is [[consistent]] to the [[integer limit|16-integer-limit]]. While the [[3-limit]] part is tuned sharp plus a sharper [[23/1|23]], the [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] remain flat but significantly less so than in 212edo, and the flat mappings of [[17/1|17]] and [[19/1|19]] now become closer than the sharp mappings.

=== Harmonics ===

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 == Theory ==
-edf is closely related to [[212edo]], but with the [[3/2|perfect fifth]] instead of the [[2/1|octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.117 cents. Like 212edo, 124edf is [[consistent]] to the [[integer limit|16-integer-limit]]. While the [[3-limit]] part is tuned sharp plus a sharper [[23/1|23]], the [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] remain flat but significantly less so than in 212edo, and the flat mappings of [[17/1|17]] and [[19/1|19]] now become closer than the sharp mappings.
+edf is closely related to [[212edo]], but with the [[3/2|perfect fifth]] instead of the [[octave]] tuned just. The octave is [[stretched and compressed tuning|stretched]] by about 0.117 cents. Like 212edo, 124edf is [[consistent]] to the [[integer limit|16-integer-limit]]. While the [[3-limit]] part is tuned sharp plus a sharper [[23/1|23]], the [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] remain flat but significantly less so than in 212edo, and the flat mappings of [[17/1|17]] and [[19/1|19]] now become closer than the sharp mappings.
 === Harmonics ===