Ratwolfsmic chords - Revision history

FloraC: Cleanup

2025-03-19T14:21:34Z

Cleanup

← Older revision		Revision as of 14:21, 19 March 2025
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	Ratwolfsmic chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 2]] in the [[13-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.		Ratwolfsmic chords are of [[Dyadic chord/Pattern of essentially tempered chords\|pattern 2]] in the [[13-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.

	For triads, there are three pairs of chords in inverse relationship:		For triads, there are three pairs of chords in inverse relationship. The first two of these are called '''ratwolf triads'''. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]].
	* ~~1-9~~/~~7-20~~/13 with steps of 9/7-6/5-13/10, and its inverse		* 1–9/7–20/13 with steps of 9/7, 6/5, 13/10, and its inverse
	* ~~1-6~~/~~5-20~~/13 with steps of 6/5-9/7-13/10; ~~(→[[#Ratwolf triad\|ratwolf triad]])~~		* 1–6/5–20/13 with steps of 6/5, 9/7, 13/10;
	* ~~1-7~~/~~6-13~~/10 with steps of 7/6-10/9-20/13, and its inverse		* 1–7/6–13/10 with steps of 7/6, 10/9, 20/13, and its inverse
	* ~~1-10~~/~~9-13~~/10 with steps of 10/9-7/6-20/13;		* 1–10/9–13/10 with steps of 10/9, 7/6, 20/13;
	* ~~1-10~~/~~9-6~~/5 with steps of 10/9-14/13-5/3, and its inverse		* 1–10/9–6/5 with steps of 10/9, 14/13, 5/3, and its inverse
	* ~~1-14~~/~~13-6~~/5 with steps of 14/13-10/9-5/3.		* 1–14/13–6/5 with steps of 14/13, 10/9, 5/3.

	For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are		For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are
	* ~~1-6~~/~~5-13~~/~~10-14~~/7 with steps of 6/5-13/12-6/5-9/7;		* 1–6/5–13/10–14/7 with steps of 6/5, 13/12, 6/5, 9/7;
	* ~~1-7~~/~~6-13~~/~~10-9~~/5 with steps of 7/6-10/9-18/13-10/9;		* 1–7/6–13/10–9/5 with steps of 7/6, 10/9, 18/13, 10/9;
	* ~~1-3~~/~~2-5~~/~~3-9~~/5 with steps of 3/2-10/9-14/13-10/9.		* 1–3/2–5/3–9/5 with steps of 3/2, 10/9, 14/13, 10/9.

	The inversely related pairs of chords are		The inversely related pairs of chords are
	* ~~1-7~~/~~6-13~~/~~10-5~~/3 with steps of 7/6-10/9-9/7-6/5, and its inverse		* 1–7/6–13/10–5/3 with steps of 7/6, 10/9, 9/7, 6/5, and its inverse
	* ~~1-7~~/~~6-7~~/~~5-9~~/5 with steps of 7/6-6/5-9/7-10/9;		* 1–7/6–7/5–9/5 with steps of 7/6, 6/5, 9/7, 10/9;
	* ~~1-7~~/~~6-13~~/~~10-7~~/5 with steps of 7/6-10/9-14/13-10/7, and its inverse		* 1–7/6–13/10–7/5 with steps of 7/6, 10/9, 14/13, 10/7, and its inverse
	* ~~1-7~~/~~6-5~~/~~3-9~~/5 with steps of 7/6-10/7-14/13-10/9;		* 1–7/6–5/3–9/5 with steps of 7/6, 10/7, 14/13, 10/9;
	* ~~1-13~~/~~10-5~~/~~3-13~~/7 with steps of 13/10-9/7-10/9-14/13, and its inverse		* 1–13/10–5/3–13/7 with steps of 13/10, 9/7, 10/9, 14/13, and its inverse
	* ~~1-13~~/~~10-7~~/~~5-14~~/9 with steps of 13/10-14/13-10/9-9/7;		* 1–13/10–7/5–14/9 with steps of 13/10, 14/13, 10/9, 9/7;
	* ~~1-9~~/~~7-3~~/~~2-5~~/3 with steps of 9/7-7/6-10/9-6/5, and its inverse		* 1–9/7–3/2–5/3 with steps of 9/7, 7/6, 10/9, 6/5, and its inverse
	* ~~1-7~~/~~6-3~~/~~2-9~~/5 with steps of 7/6-9/7-6/5-10/9;		* 1–7/6–3/2–9/5 with steps of 7/6, 9/7, 6/5, 10/9;
	* ~~1-9~~/~~7-5~~/~~3-13~~/7 with steps of 9/7-13/10-10/9-14/13, and its inverse		* 1–9/7–5/3–13/7 with steps of 9/7, 13/10, 10/9, 14/13, and its inverse
	* ~~1-10~~/~~9-13~~/~~9-13~~/7 with steps of 10/9-13/10-9/7-14/13;		* 1–10/9–13/9–13/7 with steps of 10/9, 13/10, 9/7, 14/13;
	* ~~1-13~~/~~12-7~~/~~6-13~~/10 with steps of 13/12-14/13-10/9-20/13, and its inverse		* 1–13/12–7/6–13/10 with steps of 13/12, 14/13, 10/9, 20/13, and its inverse
	* ~~1-10~~/~~9-6~~/~~5-13~~/10 with steps of 10/9-14/13-13/12-20/13.		* 1–10/9–6/5–13/10 with steps of 10/9, 14/13, 13/12, 20/13.

	For pentads, there are three pairs of chords in inverse relationship:		For pentads, there are three pairs of chords in inverse relationship:
	* ~~1-10~~/~~9-13~~/~~10-13~~/~~9-13~~/7 with steps of 10/9-7/6-10/9-9/7-14/13, and its inverse		* 1–10/9–13/10–13/9–13/7 with steps of 10/9, 7/6, 10/9, 9/7, 14/13, and its inverse
	* ~~1-9~~/~~7-10~~/~~7-5~~/~~3-13~~/7 with steps of 9/7-10/9-7/6-10/9-14/13;		* 1–9/7–10/7–5/3–13/7 with steps of 9/7, 10/9, 7/6, 10/9, 14/13;
	* ~~1-13~~/~~12-13~~/~~10-5~~/~~3-13~~/7 with steps of 13/12-6/5-9/7-10/9-14/13, and its inverse		* 1–13/12–13/10–5/3–13/7 with steps of 13/12, 6/5, 9/7, 10/9, 14/13, and its inverse
	* ~~1-10~~/~~9-10~~/~~7-12~~/~~7-13~~/7 with steps of 10/9-9/7-6/5-13/12-14/13;		* 1–10/9–10/7–12/7–13/7 with steps of 10/9, 9/7, 6/5, 13/12, 14/13;
	* ~~1-9~~/~~7-3~~/~~2-5~~/~~3-9~~/5 with steps of 9/7-7/6-10/9-14/13-10/9, and its inverse		* 1–9/7–3/2–5/3–9/5 with steps of 9/7, 7/6, 10/9, 14/13, 10/9, and its inverse
	* ~~1-7~~/~~6-3~~/~~2-5~~/~~3-9~~/5 with steps of 7/6-9/7-10/9-14/13-10/9.		* 1–7/6–3/2–5/3–9/5 with steps of 7/6, 9/7, 10/9, 14/13, 10/9.

	Equal temperaments with ratwolfsmic chords include {{Optimal ET sequence\| 5, 7, 8d, 12f, 19, 22, 26, 27, 31, 34d, 46, 53, 58, 72, 77, 84, 111 and 130 }}.		Equal temperaments with ratwolfsmic chords include {{Optimal ET sequence\| 5, 7, 8d, 12f, 19, 22, 26, 27, 31, 34d, 46, 53, 58, 72, 77, 84, 111 and 130 }}.

	~~== Ratwolf triad ==~~		[[Category:13-odd-limit chords]]
	The '''ratwolf triad''' is the 13-limit essentially tempered chord of 1-6/5-20/13 of its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]].

	[[Category:13-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Triads]]		[[Category:Triads]]

Xenllium at 02:54, 25 November 2023

2023-11-25T02:54:23Z

← Older revision		Revision as of 02:54, 25 November 2023
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	For triads, there are three pairs of chords in inverse relationship:		For triads, there are three pairs of chords in inverse relationship:
	* 1-9/7-20/13 with steps of 9/7-6/5-13/10 and its inverse 1-6/5-20/13 with steps of 6/5-9/7-13/10; (→[[#Ratwolf triad\|ratwolf triad]])		* 1-9/7-20/13 with steps of 9/7-6/5-13/10, and its inverse
	* 1-7/6-13/10 with steps of 7/6-10/9-20/13 and its inverse 1-10/9-13/10 with steps of 10/9-7/6-20/13;		* 1-6/5-20/13 with steps of 6/5-9/7-13/10; (→[[#Ratwolf triad\|ratwolf triad]])
	* 1-10/9-6/5 with steps of 10/9-14/13-5/3 and its inverse 1-14/13-6/5 with steps of 14/13-10/9-5/3.		* 1-7/6-13/10 with steps of 7/6-10/9-20/13, and its inverse
			* 1-10/9-13/10 with steps of 10/9-7/6-20/13;
			* 1-10/9-6/5 with steps of 10/9-14/13-5/3, and its inverse
			* 1-14/13-6/5 with steps of 14/13-10/9-5/3.

	For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are:		For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are
	* 1-6/5-13/10-14/7 ~~chord~~ with steps of 6/5-13/12-6/5-9/7;		* 1-6/5-13/10-14/7 with steps of 6/5-13/12-6/5-9/7;
	* 1-7/6-13/10-9/5 ~~chord~~ with steps of 7/6-10/9-18/13-10/9;		* 1-7/6-13/10-9/5 with steps of 7/6-10/9-18/13-10/9;
	* 1-3/2-5/3-9/5 ~~chord~~ with steps of 3/2-10/9-14/13-10/9.		* 1-3/2-5/3-9/5 with steps of 3/2-10/9-14/13-10/9.

	The inversely related pairs of chords are:		The inversely related pairs of chords are
	* 1-7/6-13/10-5/3 with steps of 7/6-10/9-9/7-6/5 and its inverse 1-7/6-7/5-9/5 with steps of 7/6-6/5-9/7-10/9;		* 1-7/6-13/10-5/3 with steps of 7/6-10/9-9/7-6/5, and its inverse
	* 1-7/6-13/10-7/5 with steps of 7/6-10/9-14/13-10/7 and its inverse 1-7/6-5/3-9/5 with steps of 7/6-10/7-14/13-10/9;		* 1-7/6-7/5-9/5 with steps of 7/6-6/5-9/7-10/9;
	* 1-13/10-5/3-13/7 with steps of 13/10-9/7-10/9-14/13 and its inverse 1-13/10-7/5-14/9 with steps of 13/10-14/13-10/9-9/7;		* 1-7/6-13/10-7/5 with steps of 7/6-10/9-14/13-10/7, and its inverse
	* 1-9/7-3/2-5/3 with steps of 9/7-7/6-10/9-6/5 and its inverse 1-7/6-3/2-9/5 with steps of 7/6-9/7-6/5-10/9;		* 1-7/6-5/3-9/5 with steps of 7/6-10/7-14/13-10/9;
	* 1-9/7-5/3-13/7 with steps of 9/7-13/10-10/9-14/13 and its inverse 1-10/9-13/9-13/7 with steps of 10/9-13/10-9/7-14/13;		* 1-13/10-5/3-13/7 with steps of 13/10-9/7-10/9-14/13, and its inverse
	* 1-13/12-7/6-13/10 with steps of 13/12-14/13-10/9-20/13 and its inverse 1-10/9-6/5-13/10 with steps of 10/9-14/13-13/12-20/13.		* 1-13/10-7/5-14/9 with steps of 13/10-14/13-10/9-9/7;
			* 1-9/7-3/2-5/3 with steps of 9/7-7/6-10/9-6/5, and its inverse
			* 1-7/6-3/2-9/5 with steps of 7/6-9/7-6/5-10/9;
			* 1-9/7-5/3-13/7 with steps of 9/7-13/10-10/9-14/13, and its inverse
			* 1-10/9-13/9-13/7 with steps of 10/9-13/10-9/7-14/13;
			* 1-13/12-7/6-13/10 with steps of 13/12-14/13-10/9-20/13, and its inverse
			* 1-10/9-6/5-13/10 with steps of 10/9-14/13-13/12-20/13.

	For pentads, there are three pairs of chords in inverse relationship:		For pentads, there are three pairs of chords in inverse relationship:
	* 1-10/9-13/10-13/9-13/7 with steps of 10/9-7/6-10/9-9/7-14/13 and its inverse 1-9/7-10/7-5/3-13/7 with steps of 9/7-10/9-7/6-10/9-14/13;		* 1-10/9-13/10-13/9-13/7 with steps of 10/9-7/6-10/9-9/7-14/13, and its inverse
	* 1-13/12-13/10-5/3-13/7 with steps of 13/12-6/5-9/7-10/9-14/13 and its inverse 1-10/9-10/7-12/7-13/7 with steps of 10/9-9/7-6/5-13/12-14/13;		* 1-9/7-10/7-5/3-13/7 with steps of 9/7-10/9-7/6-10/9-14/13;
	* 1-9/7-3/2-5/3-9/5 with steps of 9/7-7/6-10/9-14/13-10/9 and its inverse 1-7/6-3/2-5/3-9/5 with steps of 7/6-9/7-10/9-14/13-10/9.		* 1-13/12-13/10-5/3-13/7 with steps of 13/12-6/5-9/7-10/9-14/13, and its inverse
			* 1-10/9-10/7-12/7-13/7 with steps of 10/9-9/7-6/5-13/12-14/13;
			* 1-9/7-3/2-5/3-9/5 with steps of 9/7-7/6-10/9-14/13-10/9, and its inverse
			* 1-7/6-3/2-5/3-9/5 with steps of 7/6-9/7-10/9-14/13-10/9.

	Equal temperaments with ratwolfsmic chords include {{Optimal ET sequence\| 5, 7, 8d, 12f, 19, 22, 26, 27, 31, 34d, 46, 53, 58, 72, 77, 84, 111 and 130 }}.		Equal temperaments with ratwolfsmic chords include {{Optimal ET sequence\| 5, 7, 8d, 12f, 19, 22, 26, 27, 31, 34d, 46, 53, 58, 72, 77, 84, 111 and 130 }}.

Xenllium: Xenllium moved page Ratwolf triad to Ratwolfsmic chords: added description for other chords of ratwolfsmic temperament

2023-08-19T00:06:48Z

Xenllium moved page Ratwolf triad to Ratwolfsmic chords: added description for other chords of ratwolfsmic temperament

← Older revision	Revision as of 00:06, 19 August 2023
(No difference)

Xenllium: Update the article

2023-08-19T00:04:49Z

Update the article

@@ Line 1: / Line 1: @@
-The '''ratwolf triad''' is the [[13-limit]] 1-6/5-20/13 [[Dyadic chord|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include {{EDOs|19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546}}.
+'''Ratwolfsmic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the ratwolfsma, [[351/350]].
 [[Category:13-odd-limit]]
 [[Category:Essentially tempered chords]]
 [[Category:Triads]]
 [[Category:Ratwolf]]

FloraC: Recategorize

2023-05-23T11:45:24Z

Recategorize

← Older revision		Revision as of 11:45, 23 May 2023
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	The '''ratwolf triad''' is the [[13-limit]] 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include {{EDOs\|19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546}}.		The '''ratwolf triad''' is the [[13-limit]] 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include {{EDOs\|19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546}}.

			[[Category:13-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Triad~~]]		[[Category:Triads]]
	[[Category:Ratwolf]]		[[Category:Ratwolf]]

FloraC: Recategorize

2023-04-28T06:59:19Z

Recategorize

← Older revision		Revision as of 06:59, 28 April 2023
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	The '''ratwolf triad''' is the [[13-limit]] 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include {{EDOs\|19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546}}.		The '''ratwolf triad''' is the [[13-limit]] 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include {{EDOs\|19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546}}.

	[[Category:~~Chords~~]]		[[Category:Essentially tempered chords]]
	[[Category:~~Dyadic~~]]		[[Category:Triad]]
	[[Category:Ratwolf]]		[[Category:Ratwolf]]

FloraC: +links

2020-09-26T10:18:23Z

+links

← Older revision		Revision as of 10:18, 26 September 2020
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	The '''ratwolf triad''' is the 13-limit 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.		The '''ratwolf triad''' is the [[13-limit]] 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, [[351/350]]. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include {{EDOs\|19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546}}.

	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Ratwolf]]		[[Category:Ratwolf]]

ResonantFrequencies: /* top */re-categorisation (AWB)

2019-06-30T23:57:12Z

top: re-categorisation (AWB)

← Older revision		Revision as of 23:57, 30 June 2019
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	The ratwolf triad is the 13-limit 1-6/5-20/13 [[~~Dyadic_chord~~\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[~~ratwolf\|~~ratwolf]]. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.		The '''ratwolf triad''' is the 13-limit 1-6/5-20/13 [[Dyadic chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.
	[[Category:~~chord~~]]		[[Category:Chords]]
	[[Category:~~dyadic~~]]		[[Category:Dyadic]]
	[[Category:~~ratwolf~~]]		[[Category:Ratwolf]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		The ratwolf triad is the 13-limit 1-6/5-20/13 [[Dyadic_chord\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf\|ratwolf]]. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:chord]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-07-28 19:13:58 UTC</tt>.<br>~~		[[Category:dyadic]]
	~~: The original revision id was <tt>243314949</tt>.<br>~~		[[Category:ratwolf]]
	~~: The revision comment was: <tt></tt><br>~~
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The ratwolf triad is the 13-limit 1-6/5-20/13 [[~~dyadic chord~~\|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.~~</pre></div>~~
	~~<h4>Original HTML content~~:~~</h4>~~
	~~<div style="width~~:~~100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width~~:~~200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>~~ratwolf triad</title></head><body>The ratwolf triad is the 13-limit 1-6/5-20/13 <a class="wiki_link" href="/dyadic%20chord">essentially tempered dyadic chord</a> or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut <a class="wiki_link" href="/ratwolf">ratwolf</a>. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 243314949 - Original comment:

2011-07-28T19:13:58Z

**Imported revision 243314949 - Original comment: **

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-28 19:13:58 UTC</tt>.<br>
: The original revision id was <tt>243314949</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The ratwolf triad is the 13-limit 1-6/5-20/13 [[dyadic chord|essentially tempered dyadic chord]] or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut [[ratwolf]]. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>ratwolf triad</title></head><body>The ratwolf triad is the 13-limit 1-6/5-20/13 <a class="wiki_link" href="/dyadic%20chord">essentially tempered dyadic chord</a> or its inversion 1-9/7-20/13, tempered by the ratwolfsma, 351/350. The name comes from the fact that one each of these triads appears in the 12-note meantone gamut <a class="wiki_link" href="/ratwolf">ratwolf</a>. Equal temperaments with ratwolf triads include 19, 22, 26, 31, 46, 53, 58, 72, 103, 111, 130, 183, 313, 416 and 546.</body></html></pre></div>

Ratwolfsmic chords - Revision history

FloraC: Cleanup

Xenllium at 02:54, 25 November 2023

Xenllium: Xenllium moved page Ratwolf triad to Ratwolfsmic chords: added description for other chords of ratwolfsmic temperament

Xenllium: Update the article

FloraC: Recategorize

FloraC: Recategorize

FloraC: +links

ResonantFrequencies: /* top */re-categorisation (AWB)

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 243314949 - Original comment: **

Wikispaces>genewardsmith: Imported revision 243314949 - Original comment: