165edt: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}
{{ED intro}}


== Intervals ==
== Theory ==
{{Interval table}}
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 ===
{{Harmonics in equal
{{Harmonics in equal|165|3|1|intervals=integer|columns=11}}
| steps = 165
{{Harmonics in equal|165|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 165edt (continued)}}
| num = 3
 
| denom = 1
=== 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 }}.
{{Harmonics in equal
 
| steps = 165
== See also ==
| num = 3
* [[104edo]] – relative edo
| denom = 1
* [[269ed6]] – relative ed6
| start = 12
| collapsed = 1
}}