25edt - Revision history

FloraC: +subsets and supersets; +see also

2025-05-27T09:07:27Z

+subsets and supersets; +see also

← Older revision		Revision as of 09:07, 27 May 2025
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	{{Harmonics in equal\|25\|3\|1\|intervals=integer\|columns=11}}		{{Harmonics in equal\|25\|3\|1\|intervals=integer\|columns=11}}
	{{Harmonics in equal\|25\|3\|1\|intervals=integer\|columns=11\|start=12\|collapsed=true\|title=Approximation of harmonics in 25edt (continued)}}		{{Harmonics in equal\|25\|3\|1\|intervals=integer\|columns=11\|start=12\|collapsed=true\|title=Approximation of harmonics in 25edt (continued)}}

			=== Subsets and supersets ===
			Since 25 factors into primes as 5<sup>2</sup>, 25edt contains [[5edt]] as its only nontrivial subset edt.

	== Intervals ==		== Intervals ==
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	\|}		\|}

			== See also ==
			* [[16edo]] – relative edo
			* [[41ed6]] – relative ed6
			* [[57ed12]] – relative ed12

			{{Todo\|expand}}
	[[Category:Armodue]]		[[Category:Armodue]]
	~~{{Todo\|expand}}~~

2025-05-27T09:05:49Z

Cleanup

2025-02-14T19:06:29Z

← Older revision		Revision as of 19:06, 14 February 2025
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	* cubed = 1293.33{{c}}		* cubed = 1293.33{{c}}
	* fourth power = 2358.425{{c}} → 456.47{{c}}		* fourth power = 2358.425{{c}} → 456.47{{c}}

			It can be used as a tuning for [[Mavila]] and has an "antidiatonic" ([[2L 5s]]) scale which approximates [[Pelog]] tunings in Indonesian gamelan music.

	== Intervals ==		== Intervals ==

2025-02-14T19:04:52Z

← Older revision		Revision as of 19:04, 14 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''25EDT''' is the [[Edt\|equal division of the third harmonic]] into 25 parts of 76.0782 [[cent\|cents]] each, corresponding to 15.7732 [[edo]] (stretched version of [[16edo]]).~~		{{ED intro}}

	~~This scale coincidentally turns out~~ to be 16 equal divisions of a stretched octave (1217.25 ~~cents~~) and a tritave twin of the Armodue/Hornbostel flat third-tone system:		It corresponds to 15.7732 [[edo]], or 16 equal divisions of a stretched octave (1217.25{{c}}) and a tritave twin of the Armodue/Hornbostel flat third-tone system:
	* 6th = 1065.095 ~~cents~~		* 6th = 1065.095{{c}}
	* squared = 2130.19 cents = 228.235 ~~cents~~		* squared = 2130.19 cents = 228.235{{c}}
	* cubed = 1293.33 ~~cents~~		* cubed = 1293.33{{c}}
	* fourth power = 2358.425 ~~cents =~~ 456.47 ~~cents~~		* fourth power = 2358.425{{c}} → 456.47{{c}}

	== Intervals ==		== Intervals ==

2024-12-21T03:42:33Z

2024-11-24T21:43:32Z

2024-11-24T21:43:23Z

2024-10-06T06:46:10Z

Moved table of prime harmonics to not clash with infobox

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 '''25EDT''' is the [[Edt|equal division of the third harmonic]] into 25 parts of 76.0782 [[cent|cents]] each, corresponding to 15.7732 [[edo]] (stretched version of [[16edo]]).
 This scale coincidentally turns out to be 16 equal divisions of a stretched octave (1217.25 cents) and a tritave twin of the Armodue/Hornbostel flat third-tone system:
@@ Line 10: / Line 8: @@
 * fourth power = 2358.425 cents = 456.47 cents
 {| class="wikitable"
 |-
@@ Line 142: / Line 141: @@
 | | 1
 |}
 [[Category:Armodue]]
 [[Category:Edt]]
 [[Category:Edonoi]]

2024-08-27T20:26:51Z

← Older revision		Revision as of 20:26, 27 August 2024
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	'''25EDT''' is the [[Edt\|equal division of the third harmonic]] into 25 parts of 76.0782 [[cent\|cents]] each, corresponding to 15.7732 [[edo]] (stretched version of [[16edo]]).		'''25EDT''' is the [[Edt\|equal division of the third harmonic]] into 25 parts of 76.0782 [[cent\|cents]] each, corresponding to 15.7732 [[edo]] (stretched version of [[16edo]]).

	{{Harmonics in equal\|17\|3\|1\|intervals=prime\|columns=15}}		{{Harmonics in equal\|25\|3\|1\|intervals=prime\|columns=15}}

	This scale coincidentally turns out to be 16 equal divisions of a stretched octave (1217.25 cents) and a tritave twin of the Armodue/Hornbostel flat third-tone system:		This scale coincidentally turns out to be 16 equal divisions of a stretched octave (1217.25 cents) and a tritave twin of the Armodue/Hornbostel flat third-tone system:

2024-08-27T20:26:17Z

← Older revision		Revision as of 20:26, 27 August 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''25EDT''' is the [[Edt\|equal division of the third harmonic]] into 25 parts of 76.0782 [[cent\|cents]] each, corresponding to 15.7732 [[edo]] (stretched version of [[16edo]]).		'''25EDT''' is the [[Edt\|equal division of the third harmonic]] into 25 parts of 76.0782 [[cent\|cents]] each, corresponding to 15.7732 [[edo]] (stretched version of [[16edo]]).

			{{Harmonics in equal\|17\|3\|1\|intervals=prime\|columns=15}}

	This scale coincidentally turns out to be 16 equal divisions of a stretched octave (1217.25 cents) and a tritave twin of the Armodue/Hornbostel flat third-tone system:		This scale coincidentally turns out to be 16 equal divisions of a stretched octave (1217.25 cents) and a tritave twin of the Armodue/Hornbostel flat third-tone system: