FloraC: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 314edt is related to 198edo, but with the perfect twelfth rather than the octave being just. The octave is compressed by about 0.678 cents. Like 198edo, 314edt is consistent to the 16-integer-limit. It has a flat tuning tendency, with prime harmonics 2, 5, 7, 11, and 13 all tuned flat. === Harmonics === {{Harmonic..."

2025-04-19T12:05:18Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 314edt is related to 198edo, but with the perfect twelfth rather than the octave being just. The octave is compressed by about 0.678 cents. Like 198edo, 314edt is consistent to the 16-integer-limit. It has a flat tuning tendency, with prime harmonics 2, 5, 7, 11, and 13 all tuned flat. === Harmonics === {{Harmonic..."

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

== Theory ==
314edt is related to [[198edo]], but with the [[3/1|perfect twelfth]] rather than the [[2/1|octave]] being just. The octave is [[stretched and compressed tuning|compressed]] by about 0.678 cents. Like 198edo, 314edt is [[consistent]] to the [[integer limit|16-integer-limit]]. It has a flat tuning tendency, with [[prime harmonic]]s 2, [[5/1|5]], [[7/1|7]], [[11/1|11]], and [[13/1|13]] all tuned flat.

=== Harmonics ===
{{Harmonics in equal|314|3|1}}
{{Harmonics in equal|314|3|1|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 314edt (continued)}}

=== Subsets and supersets ===
Since 314 factors into primes as {{nowrap| 2 × 157 }}, 314edt contains [[2edt]] and [[157edt]] as subset edts.

== See also ==
* [[198edo]] – relative edo
* [[512ed6]] – relative ed6

314edt - Revision history