165edt: Difference between revisions

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== Theory ==

165edt is related to [[104edo]], but with the [[3/1|perfect twelfth]] instead of the [[2/1|octave]] tuned just. The octave is about 1.19 cents compressed. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 165edt is consistent to the 6-integer-limit. It may be said to have a flat tuning tendency, as within [[harmonic]]s 1–16, only multiples of [[5/1|5]] are tuned sharp.

=== Harmonics ===

{{Harmonics in equal|165|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 165edt (continued)}}

=== Subsets and supersets ===

Since 165 factors into primes as {{nowrap| 3 × 5 × 11 }}, 165edt has subset edts {{EDs|equave=t| 3, 5, 11, 15, 33, and 55 }}.

== See also ==

* [[104edo]] – relative edo

* [[269ed6]] – relative ed6

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 {{Infobox ET}}
+{{ED intro}}
+== Theory ==
+edt is related to [[104edo]], but with the [[3/1|perfect twelfth]] instead of the [[2/1|octave]] tuned just. The octave is about 1.19 cents compressed. Unlike 104edo, which is only [[consistent]] to the [[integer limit|4-integer-limit]], 165edt is consistent to the 6-integer-limit. It may be said to have a flat tuning tendency, as within [[harmonic]]s 1–16, only multiples of [[5/1|5]] are tuned sharp.
+=== Harmonics ===
+{{Harmonics in equal|165|3|1|intervals=integer|columns=11}}
+{{Harmonics in equal|165|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 165edt (continued)}}
+=== Subsets and supersets ===
+Since 165 factors into primes as {{nowrap| 3 × 5 × 11 }}, 165edt has subset edts {{EDs|equave=t| 3, 5, 11, 15, 33, and 55 }}.
+== See also ==
+* [[104edo]] – relative edo
+* [[269ed6]] – relative ed6