269ed6: Difference between revisions

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== Theory ==

269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1|octave]] tuned just. The octave is about 0.73 cents ~~compressed~~. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1|3]] and [[5/1|5]] sharp, 2, [[7/1|7]] and [[13/1|13]] flat, and [[11/1|11]] practically pure.

269ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1|octave]] tuned just. The octave is [[stretched and compressed tuning|compressed]] by about 0.731 cents. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1|3]] and [[5/1|5]] sharp, 2, [[7/1|7]] and [[13/1|13]] flat, and [[11/1|11]] practically pure.

=== Harmonics ===

{{Harmonics in equal|269|6|1|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in ~~165edt~~ (continued)}}

{{Harmonics in equal|269|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 256ed6 (continued)}}

=== Subsets and supersets ===

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 == Theory ==
-ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1|octave]] tuned just. The octave is about 0.73 cents compressed. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1|3]] and [[5/1|5]] sharp, 2, [[7/1|7]] and [[13/1|13]] flat, and [[11/1|11]] practically pure.
+ed6 is closely related to [[104edo]], but with the 6th harmonic instead of the [[2/1|octave]] tuned just. The octave is [[stretched and compressed tuning|compressed]] by about 0.731 cents. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 269ed6 is consistent to the 6-integer-limit. It tunes [[prime harmonic]]s [[3/1|3]] and [[5/1|5]] sharp, 2, [[7/1|7]] and [[13/1|13]] flat, and [[11/1|11]] practically pure.
 === Harmonics ===
 {{Harmonics in equal|269|6|1|intervals=integer|columns=11}}
-{{Harmonics in equal|269|6|1|intervals=integer|columns=12|start=12|collapsed=true|Approximation of harmonics in 165edt (continued)}}
+{{Harmonics in equal|269|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 256ed6 (continued)}}
 === Subsets and supersets ===