FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 124edf is closely related to 212edo, but with the perfect fifth instead of the octave tuned just. The octave is stretched by about 0.117 cents. Like 212edo, 124edf is consistent to the 16-integer-limit. While the 3-limit part is tuned sharp plus a sharper 23, the 5, 7, 11, and 13 remain flat but significant..."

2025-04-18T14:48:54Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 124edf is closely related to 212edo, but with the perfect fifth instead of the octave tuned just. The octave is stretched by about 0.117 cents. Like 212edo, 124edf is consistent to the 16-integer-limit. While the 3-limit part is tuned sharp plus a sharper 23, the 5, 7, 11, and 13 remain flat but significant..."

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{{Infobox ET}}
{{ED intro}}

== 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.

=== Harmonics ===
{{Harmonics in equal|124|3|2|intervals=integer|columns=11}}
{{Harmonics in equal|124|3|2|intervals=integer|columns=12|start=12|collapsed=1|title=Approximation of harmonics in 124edf (continued)}}

=== Subsets and supersets ===
Since 124 factors into primes as {{nowrap| 2<sup>2</sup> × 31 }}, 124edf contains subset edfs {{EDs|equave=f| 2, 4, 31, and 62 }}.

== See also ==
* [[212edo]] – relative edo
* [[336edt]] – relative edt

124edf - Revision history