271edt: Difference between revisions
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{{Infobox ET}} | |||
{{ED intro}} | {{ED intro}} | ||
== Theory == | == Theory == | ||
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. | ||
{{Harmonics in equal|271|3|intervals=prime}} | {{Harmonics in equal|271|3|intervals=prime}} | ||