165edt - Revision history

FloraC: +see also

2025-04-09T12:10:14Z

+see also

← Older revision		Revision as of 12:10, 9 April 2025
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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.		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\|165\|3\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|165\|3\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|165\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 165edt (continued)}}		{{Harmonics in equal\|165\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 165edt (continued)}}

	=== Subsets and supersets ===		=== 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 }}.		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

FloraC: Expand

2025-04-08T21:00:11Z

Expand

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	== Harmonics ==		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 in equal
	\| ~~steps =~~ 165		=== Harmonics ===
	\| ~~num~~ = 3		{{Harmonics in equal\|165\|3\|1\|intervals=integer\|columns=11}}
	\| ~~denom~~ = 1		{{Harmonics in equal\|165\|3\|1\|intervals=integer\|columns=12\|start=12\|collapsed=true\|Approximation of harmonics in 165edt (continued)}}
	}}
	{{Harmonics in equal		=== Subsets and supersets ===
	\| ~~steps =~~ 165		SInce 165 factors into primes as {{nowrap\| 3 × 5 × 11 }}, 165edt has subset edts {{EDs\|equave=t\| 3, 5, 11, 15, 33, and 55 }}.
	\| ~~num~~ = 3
	\| ~~denom~~ = 1
	\| start = 12
	\| collapsed = 1
	}}

BudjarnLambeth at 10:20, 5 October 2024

2024-10-05T10:20:31Z

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	~~== Intervals ==~~
	~~{{Interval table}}~~

	== Harmonics ==		== Harmonics ==

BudjarnLambeth: Intro inter harm

2024-10-05T09:10:41Z

Intro inter harm

← Older revision		Revision as of 09:10, 5 October 2024
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			{{ED intro}}

			== Intervals ==
			{{Interval table}}

			== Harmonics ==
			{{Harmonics in equal
			\| steps = 165
			\| num = 3
			\| denom = 1
			}}
			{{Harmonics in equal
			\| steps = 165
			\| num = 3
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			}}

Francium: Marked page as stub

2023-10-04T12:36:12Z

Marked page as stub

← Older revision		Revision as of 12:36, 4 October 2023
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Moremajorthanmajor: Created page with "{{Infobox ET}}"

2023-05-04T03:31:46Z

Created page with "{{Infobox ET}}"

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