165edt: Difference between revisions

@@ Line 1: / Line 1: @@
-{{Stub}}
 {{Infobox ET}}
 {{ED intro}}
-== Harmonics ==
+== Theory ==
-{{Harmonics in equal
+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.
-| steps = 165
-| num = 3
+=== Harmonics ===
-| denom = 1
+{{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)}}
-{{Harmonics in equal
-| steps = 165
+=== Subsets and supersets ===
-| num = 3
+Since 165 factors into primes as {{nowrap| 3 × 5 × 11 }}, 165edt has subset edts {{EDs|equave=t| 3, 5, 11, 15, 33, and 55 }}.
-| denom = 1
-| start = 12
+== See also ==
-| collapsed = 1
+* [[104edo]] – relative edo
-}}
+* [[269ed6]] – relative ed6