FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 287ed6 is closely related to 111edo, but with the 6th harmonic tuned just instead of the octave. The octave is compressed by about 0.289 cents. Like 111edo, 287ed6 is consistent to the 22-integer-limit. While it tunes 2 and 11 flat, the 3, 5, 7, 13, 17, and 19 remain sharp as in 111edo but less so. Th..."

2025-04-12T15:31:54Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 287ed6 is closely related to 111edo, but with the 6th harmonic tuned just instead of the octave. The octave is compressed by about 0.289 cents. Like 111edo, 287ed6 is consistent to the 22-integer-limit. While it tunes 2 and 11 flat, the 3, 5, 7, 13, 17, and 19 remain sharp as in 111edo but less so. Th..."

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

== Theory ==
287ed6 is closely related to [[111edo]], but with the 6th harmonic tuned just instead of the [[2/1|octave]]. The octave is [[stretched and compressed tuning|compressed]] by about 0.289 cents. Like 111edo, 287ed6 is [[consistent]] to the [[integer limit|22-integer-limit]]. While it tunes 2 and [[11/1|11]] flat, the [[3/1|3]], [[5/1|5]], [[7/1|7]], [[13/1|13]], [[17/1|17]], and [[19/1|19]] remain sharp as in 111edo but less so. The [[23/1|23]], which is flat to begin with, becomes slightly worse.

=== Harmonics ===
{{Harmonics in equal|287|6|1|interval=integer|columns=11}}
{{Harmonics in equal|287|6|1|interval=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 287ed6 (continued)}}

=== Subsets and supersets ===
Since 287 factors into primes as {{nowrap| 7 × 41 }}, 287ed6 contains [[7ed6]] and [[41ed6]] as subset ed6's.

== See also ==
* [[111edo]] – relative edo
* [[176edt]] – relative edt

287ed6 - Revision history