269ed6: Difference between revisions

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== Theory ==
== 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 ===
{{Harmonics in equal|269|6|1|intervals=integer|columns=11}}
{{Harmonics in equal|269|6|1|intervals=integer|columns=11}}
{{Harmonics in equal|269|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=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 ===
=== Subsets and supersets ===