271edt: Difference between revisions

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271edt acts as a stretched version of [[171edo]], with the same val and commas up to the [[19-limit]], but with [[3/1]] instead of [[2/1]] just. The octave is stretched by about 0.13 cents, which brings harmonics [[5/1|5]] and [[7/1|7]] much closer to just, though harmonics [[11/1|11]], [[13/1|13]], and [[17/1|17]] become worse.
271edt acts as a stretched version of [[171edo]], with the same val and commas up to the [[19-limit]], but with [[3/1]] instead of [[2/1]] just. The octave is stretched by about 0.13 cents, which brings harmonics [[5/1|5]] and [[7/1|7]] much closer to just, though harmonics [[11/1|11]], [[13/1|13]], and [[17/1|17]] become worse.


Considered as a no-twos system, 271edt does very well in the [[3.5.7 subgroup|3.5.7-]][[subgroup]]. Harmonic [[11/1|11]] is almost exactly halfway between its steps, suggesting the use of [[542edt]] in the 3.5.7.11-subgroup.
Considered as a no-twos system, 271edt does very well in the [[3.5.7 subgroup|3.5.7-subgroup]]. Harmonic [[11/1|11]] is almost exactly halfway between its steps, suggesting the use of [[542edt]] in the [[3.5.7.11 subgroup|3.5.7.11-subgroup]].


{{Harmonics in equal|271|3|intervals=prime}}
{{Harmonics in equal|271|3|intervals=prime}}