Undecimal marvel chords - Revision history

FloraC at 14:01, 15 October 2024

2024-10-15T14:01:04Z

← Older revision		Revision as of 14:01, 15 October 2024
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	The essentially undecimal marvel chords number tetrads: 8, pentads: 12, hexads: 3, for a total of 23.		The essentially undecimal marvel chords number tetrads: 8, pentads: 12, hexads: 3, for a total of 23.

	Equal ~~divisions~~ with undecimal marvel chords include {{EDOs\| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.		[[Equal temperament]]s with undecimal marvel chords include {{EDOs\| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.

	[[Category:11-odd-limit chords]]		[[Category:11-odd-limit chords]]

FloraC: Improve readability; recategorize

2024-10-15T14:00:38Z

Improve readability; recategorize

← Older revision		Revision as of 14:00, 15 October 2024
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	An '''undecimal marvel chord''' is an [[essentially tempered chord]] of undecimal ([[11-limit]]) [[marvel]], with intervals in the tonality diamond of the [[11-odd-limit]]. Since [[225/224]] is tempered out in undecimal marvel, [[9-odd-limit]] [[marvel chords]] are undecimal marvel chords. Since [[385/384]] is tempered out, [[keenanismic chords]] are also undecimal marvel chords. Finally, since [[540/539]] is tempered out, [[swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords.		An '''undecimal marvel chord''' is an [[essentially tempered chord]] of undecimal ([[11-limit]]) [[marvel]], with intervals in the [[tonality diamond]] of the [[11-odd-limit]]. Since [[225/224]] is tempered out in undecimal marvel, [[9-odd-limit]] [[marvel chords]] are undecimal marvel chords. Since [[385/384]] is tempered out, [[keenanismic chords]] are also undecimal marvel chords. Finally, since [[540/539]] is tempered out, [[swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords.

	These are four pairs of inversely related tetrads:		These are four pairs of inversely related tetrads:
	* ~~1-5~~/~~4-11~~/~~8-8~~/5 with steps 5/4-11/10-7/6-5/4 and ~~1-5~~/~~4-16~~/~~11-8~~/5 with steps 5/4-7/6-11/10-5/4;		* 1–5/4–11/8–8/5 with steps 5/4, 11/10, 7/6, 5/4, and its inverse
	* ~~1-9~~/~~8-8~~/~~5-7~~/4 with steps 9/8-10/7-12/11-8/7 and ~~1-9~~/~~8-9~~/~~7-7~~/5 with steps 9/8-8/7-12/11-10/7;		* 1–5/4–16/11–8/5 with steps 5/4, 7/6, 11/10, 5/4;
	* ~~1-9~~/~~8-11~~/~~8-8~~/5 with steps 9/8-11/9-7/6-5/4 and ~~1-5~~/~~4-16~~/~~11-16~~/9 with steps 5/4-7/6-11/9-9/8;		* 1–9/8–8/5–7/4 with steps 9/8, 10/7, 12/11, 8/7, and its inverse
	* ~~1-5~~/~~4-8~~/~~5-7~~/4 with steps 5/4-9/7-12/11-8/7 and ~~1-5~~/~~4-10~~/~~7-14~~/9 with steps 5/4-8/7-12/11-9/7.		* 1–9/8–9/7–7/5 with steps 9/8, 8/7, 12/11, 10/7;
			* 1–9/8–11/8–8/5 with steps 9/8, 11/9, 7/6, 5/4, and its inverse
			* 1–5/4–16/11–16/9 with steps 5/4, 7/6, 11/9, 9/8;
			* 1–5/4–8/5–7/4 with steps 5/4, 9/7, 12/11, 8/7, and its inverse
			* 1–5/4–10/7–14/9 with steps 5/4, 8/7, 12/11, 9/7.

	There are six pairs of inversely related essentially undecimal marvel pentads:		There are six pairs of inversely related essentially undecimal marvel pentads:
	* ~~1-9~~/~~8-5~~/~~4-11~~/~~8-8~~/5 with steps 9/8-10/9-11/10-7/6-5/4 and ~~1-5~~/~~4-16~~/~~11-8~~/~~5-16~~/9 with steps 5/4-7/6-11/10-10/9-9/8;		* 1–9/8–5/4–11/8–8/5 with steps 9/8, 10/9, 11/10, 7/6, 5/4, and its inverse
	* ~~1-5~~/~~4-7~~/~~5-8~~/~~5-7~~/4 with steps 5/4-9/8-8/7-12/11-8/7 and ~~1-9~~/~~8-7~~/~~5-8~~/~~5-7~~/4 with steps 9/8-5/4-8/7-12/11-8/7;		* 1–5/4–16/11–8/5–16/9 with steps 5/4, 7/6, 11/10, 10/9, 9/8;
	* ~~1-5~~/~~4-16~~/~~11-8~~/~~5-7~~/4 with steps 5/4-7/6-11/10-12/11-8/7 and ~~1-8~~/~~7-5~~/~~4-11~~/~~8-8~~/5 with steps 8/7-12/11-11/10-7/6-5/4;		* 1–5/4–7/5–8/5–7/4 with steps 5/4, 9/8, 8/7, 12/11, 8/7, and its inverse
	* ~~1-5~~/~~4-11~~/~~8-8~~/~~5-7~~/4 with steps 5/4-11/10-7/6-12/11-8/7 and ~~1-8~~/~~7-5~~/~~4-16~~/~~11-8~~/5 with steps 8/7-12/11-7/6-11/10-5/4;		* 1–9/8–7/5–8/5–7/4 with steps 9/8, 5/4, 8/7, 12/11, 8/7;
	* ~~1-9~~/~~8-11~~/~~8-8~~/~~5-7~~/4 with steps 9/8-11/9-7/6-12/11-8/7 and ~~1-11~~/~~9-11~~/~~8-11~~/~~7-12~~/7 with steps 11/9-9/8-8/7-12/11-7/6;		* 1–5/4–16/11–8/5–7/4 with steps 5/4, 7/6, 11/10, 12/11, 8/7, and its inverse
	* ~~1-9~~/~~8-5~~/~~4-8~~/~~5-7~~/4 with steps 9/8-10/9-9/7-12/11-8/7 and ~~1-9~~/~~7-10~~/~~7-8~~/~~5-11~~/6 with steps 9/7-10/9-9/8-8/7-12/11.		* 1–8/7–5/4–11/8–8/5 with steps 8/7, 12/11, 11/10, 7/6, 5/4;
			* 1–5/4–11/8–8/5–7/4 with steps 5/4, 11/10, 7/6, 12/11, 8/7, and its inverse
			* 1–8/7–5/4–16/11–8/5 with steps 8/7, 12/11, 7/6, 11/10, 5/4;
			* 1–9/8–11/8–8/5–7/4 with steps 9/8, 11/9, 7/6, 12/11, 8/7, and its inverse
			* 1–11/9–11/8–11/7–12/7 with steps 11/9, 9/8, 8/7, 12/11, 7/6;
			* 1–9/8–5/4–8/5–7/4 with steps 9/8, 10/9, 9/7, 12/11, 8/7, and its inverse
			* 1–9/7–10/7–8/5–11/6 with steps 9/7, 10/9, 9/8, 8/7, 12/11.

	The three essentially undecimal marvel hexads are particularly interesting. One is palindromic:		The three essentially undecimal marvel hexads are particularly interesting. One is palindromic:
	* ~~1-9~~/~~8-5~~/~~4-7~~/~~5-8~~/~~5-7~~/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7.		* 1–9/8–5/4–7/5–8/5–7/4 with steps 9/8, 10/9, 9/8, 8/7, 12/11, 8/7.

	The two others are an inversive pair:		The two others are an inversive pair:
	* ~~1-9~~/~~8-5~~/~~4-11~~/~~8-8~~/~~5-7~~/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and ~~1-8~~/~~7-5~~/~~4-16~~/~~11-8~~/~~5-16~~/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8.		* 1–9/8–5/4–11/8–8/5–7/4 with steps 9/8, 10/9, 11/10, 7/6, 12/11, 8/7, and its inverse
			* 1–8/7–5/4–16/11–8/5–16/9 with steps 8/7, 12/11, 7/6, 11/10, 10/9, 9/8.

	The latter two have steps which are permutations of the steps of the 11-limit JI hexads.		The latter two have steps which are permutations of the steps of the 11-limit JI hexads.
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	Equal divisions with undecimal marvel chords include {{EDOs\| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.		Equal divisions with undecimal marvel chords include {{EDOs\| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.

	[[Category:11-odd-limit]]		[[Category:11-odd-limit chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Tetrads]]		[[Category:Tetrads]]

FloraC: Recategorize

2023-05-23T11:56:19Z

Recategorize

← Older revision		Revision as of 11:56, 23 May 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:~~Pentad~~]]		[[Category:Pentads]]
	[[Category:~~Hexad~~]]		[[Category:Hexads]]
	[[Category:Marvel]]		[[Category:Marvel]]

FloraC: Recategorize

2023-04-28T07:21:25Z

Recategorize

← Older revision		Revision as of 07:21, 28 April 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Dyadic~~]]		[[Category:Tetrad]]
			[[Category:Pentad]]
			[[Category:Hexad]]
	[[Category:Marvel]]		[[Category:Marvel]]

Fredg999 category edits: Removing from Category:Chords using Cat-a-lot

2023-04-28T03:51:55Z

Removing from Category:Chords using Cat-a-lot

← Older revision		Revision as of 03:51, 28 April 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	~~[[Category:Chords]]~~
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]

Xenwolf: recat

2021-05-20T08:32:49Z

recat

← Older revision		Revision as of 08:32, 20 May 2021
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	Equal divisions with undecimal marvel chords include {{EDOs\| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.		Equal divisions with undecimal marvel chords include {{EDOs\| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.

	[[Category:11-limit]]		[[Category:11-odd-limit]]
	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]

Xenwolf: +cat

2021-05-20T07:18:44Z

+cat

← Older revision		Revision as of 07:18, 20 May 2021
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	An '''undecimal marvel chord''' is an [[~~Dyadic chord #Essentially tempered dyadic chord\|~~essentially tempered chord]] of undecimal ([[11-limit]]) [[marvel]], with intervals in the tonality diamond of the [[11-odd-limit]]. Since [[225/224]] is tempered out in undecimal marvel, [[9-odd-limit]] [[marvel chords]] are undecimal marvel chords. Since [[385/384]] is tempered out, [[keenanismic chords]] are also undecimal marvel chords. Finally, since [[540/539]] is tempered out, [[swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords.		An '''undecimal marvel chord''' is an [[essentially tempered chord]] of undecimal ([[11-limit]]) [[marvel]], with intervals in the tonality diamond of the [[11-odd-limit]]. Since [[225/224]] is tempered out in undecimal marvel, [[9-odd-limit]] [[marvel chords]] are undecimal marvel chords. Since [[385/384]] is tempered out, [[keenanismic chords]] are also undecimal marvel chords. Finally, since [[540/539]] is tempered out, [[swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords.

	These are four pairs of inversely related tetrads:		These are four pairs of inversely related tetrads:
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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Chords]]		[[Category:Chords]]
			[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]

FloraC: Readability improvement; +categories

2021-02-23T13:16:29Z

Readability improvement; +categories

@@ Line 1: / Line 1: @@
-An ''undecimal marvel chord'' is an [[Dyadic_chord#Essentially tempered dyadic chord|essentially tempered chord]] of undecimal (11-limit) marvel, with intervals in the tonality diamond of the 11 odd limit. Since 225/224 is tempered out in undecimal marvel, 9-limit [[marvel_chords|marvel chords]] are undecimal marvel chords. Since 385/384 is tempered out, [[keenanismic_chords|keenanismic chords]] are also undecimal marvel chords. Finally, since 540/539 is tempered out, [[swetismic_chords|swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords. These are four pairs of inversely related tetrads, 1-5/4-11/8-8/5 with steps 5/4-11/10-7/6-5/4 and 1-5/4-16/11-8/5 with steps 5/4-7/6-11/10-5/4; 1-9/8-8/5-7/4 with steps 9/8-10/7-12/11-8/7 and 1-9/8-9/7-7/5 with steps 9/8-8/7-12/11-10/7; 1-9/8-11/8-8/5 with steps 9/8-11/9-7/6-5/4 and 1-5/4-16/11-16/9 with steps 5/4-7/6-11/9-9/8; and 1-5/4-8/5-7/4 with steps 5/4-9/7-12/11-8/7 and 1-5/4-10/7-14/9 with steps 5/4-8/7-12/11-9/7. There are six pairs of inversely related essentially undecimal marvel pentads: 1-9/8-5/4-11/8-8/5 with steps 9/8-10/9-11/10-7/6-5/4 and 1-5/4-16/11-8/5-16/9 with steps 5/4-7/6-11/10-10/9-9/8; 1-5/4-7/5-8/5-7/4 with steps 5/4-9/8-8/7-12/11-8/7 and 1-9/8-7/5-8/5-7/4 with steps 9/8-5/4-8/7-12/11-8/7; 1-5/4-16/11-8/5-7/4 with steps 5/4-7/6-11/10-12/11-8/7 and 1-8/7-5/4-11/8-8/5 with steps 8/7-12/11-11/10-7/6-5/4; 1-5/4-11/8-8/5-7/4 with steps 5/4-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5 with steps 8/7-12/11-7/6-11/10-5/4; 1-9/8-11/8-8/5-7/4 with steps 9/8-11/9-7/6-12/11-8/7 and 1-11/9-11/8-11/7-12/7 with steps 11/9-9/8-8/7-12/11-7/6; and 1-9/8-5/4-8/5-7/4 with steps 9/8-10/9-9/7-12/11-8/7 and 1-9/7-10/7-8/5-11/6 with steps 9/7-10/9-9/8-8/7-12/11.
+An '''undecimal marvel chord''' is an [[Dyadic chord #Essentially tempered dyadic chord|essentially tempered chord]] of undecimal ([[11-limit]]) [[marvel]], with intervals in the tonality diamond of the [[11-odd-limit]]. Since [[225/224]] is tempered out in undecimal marvel, [[9-odd-limit]] [[marvel chords]] are undecimal marvel chords. Since [[385/384]] is tempered out, [[keenanismic chords]] are also undecimal marvel chords. Finally, since [[540/539]] is tempered out, [[swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords.
-The three essentially undecimal marvel hexads are particularly interesting. One is palindromic: 1-9/8-5/4-7/5-8/5-7/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7. The two others are an inversive pair: 1-9/8-5/4-11/8-8/5-7/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5-16/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8. The latter two have steps which are permutations of the steps of the 11-limit JI hexads.
+These are four pairs of inversely related tetrads:
 The essentially undecimal marvel chords number tetrads: 8, pentads: 12, hexads: 3, for a total of 23.
-Equal divisions with undecimal marvel chords include 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce.
+Equal divisions with undecimal marvel chords include {{EDOs| 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce }}.

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+An ''undecimal marvel chord'' is an [[Dyadic_chord#Essentially tempered dyadic chord|essentially tempered chord]] of undecimal (11-limit) marvel, with intervals in the tonality diamond of the 11 odd limit. Since 225/224 is tempered out in undecimal marvel, 9-limit [[marvel_chords|marvel chords]] are undecimal marvel chords. Since 385/384 is tempered out, [[keenanismic_chords|keenanismic chords]] are also undecimal marvel chords. Finally, since 540/539 is tempered out, [[swetismic_chords|swetismic chords]] are undecimal marvel chords. There are also undecimal marvel chords which are none of these, the essentially undecimal marvel chords. These are four pairs of inversely related tetrads, 1-5/4-11/8-8/5 with steps 5/4-11/10-7/6-5/4 and 1-5/4-16/11-8/5 with steps 5/4-7/6-11/10-5/4; 1-9/8-8/5-7/4 with steps 9/8-10/7-12/11-8/7 and 1-9/8-9/7-7/5 with steps 9/8-8/7-12/11-10/7; 1-9/8-11/8-8/5 with steps 9/8-11/9-7/6-5/4 and 1-5/4-16/11-16/9 with steps 5/4-7/6-11/9-9/8; and 1-5/4-8/5-7/4 with steps 5/4-9/7-12/11-8/7 and 1-5/4-10/7-14/9 with steps 5/4-8/7-12/11-9/7. There are six pairs of inversely related essentially undecimal marvel pentads: 1-9/8-5/4-11/8-8/5 with steps 9/8-10/9-11/10-7/6-5/4 and 1-5/4-16/11-8/5-16/9 with steps 5/4-7/6-11/10-10/9-9/8; 1-5/4-7/5-8/5-7/4 with steps 5/4-9/8-8/7-12/11-8/7 and 1-9/8-7/5-8/5-7/4 with steps 9/8-5/4-8/7-12/11-8/7; 1-5/4-16/11-8/5-7/4 with steps 5/4-7/6-11/10-12/11-8/7 and 1-8/7-5/4-11/8-8/5 with steps 8/7-12/11-11/10-7/6-5/4; 1-5/4-11/8-8/5-7/4 with steps 5/4-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5 with steps 8/7-12/11-7/6-11/10-5/4; 1-9/8-11/8-8/5-7/4 with steps 9/8-11/9-7/6-12/11-8/7 and 1-11/9-11/8-11/7-12/7 with steps 11/9-9/8-8/7-12/11-7/6; and 1-9/8-5/4-8/5-7/4 with steps 9/8-10/9-9/7-12/11-8/7 and 1-9/7-10/7-8/5-11/6 with steps 9/7-10/9-9/8-8/7-12/11.
 The three essentially undecimal marvel hexads are particularly interesting. One is palindromic: 1-9/8-5/4-7/5-8/5-7/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7. The two others are an inversive pair: 1-9/8-5/4-11/8-8/5-7/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5-16/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8. The latter two have steps which are permutations of the steps of the 11-limit JI hexads.
@@ Line 13: / Line 6: @@
 Equal divisions with undecimal marvel chords include 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce.

Wikispaces>genewardsmith: Imported revision 287094062 - Original comment:

2011-12-17T17:25:57Z

**Imported revision 287094062 - Original comment: **

← Older revision		Revision as of 17:25, 17 December 2011
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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>2011-12-~~15 12~~:24:53 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-17 17:25:57 UTC</tt>.<br>
	: The original revision id was <tt>~~286550916~~</tt>.<br>		: The original revision id was <tt>287094062</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	The three essentially undecimal marvel hexads are particularly interesting. One is palindromic: 1-9/8-5/4-7/5-8/5-7/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7. The two others are an inversive pair: 1-9/8-5/4-11/8-8/5-7/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5-16/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8. The latter two have steps which are permutations of the steps of the 11-limit JI hexads.		The three essentially undecimal marvel hexads are particularly interesting. One is palindromic: 1-9/8-5/4-7/5-8/5-7/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7. The two others are an inversive pair: 1-9/8-5/4-11/8-8/5-7/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5-16/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8. The latter two have steps which are permutations of the steps of the 11-limit JI hexads.

			The essentially undecimal marvel chords number tetrads: 8, pentads: 12, hexads: 3, for a total of 23.

	Equal divisions with undecimal marvel chords include 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce.		Equal divisions with undecimal marvel chords include 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce.
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	The three essentially undecimal marvel hexads are particularly interesting. One is palindromic: 1-9/8-5/4-7/5-8/5-7/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7. The two others are an inversive pair: 1-9/8-5/4-11/8-8/5-7/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5-16/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8. The latter two have steps which are permutations of the steps of the 11-limit JI hexads.<br />		The three essentially undecimal marvel hexads are particularly interesting. One is palindromic: 1-9/8-5/4-7/5-8/5-7/4 with steps 9/8-10/9-9/8-8/7-12/11-8/7. The two others are an inversive pair: 1-9/8-5/4-11/8-8/5-7/4 with steps 9/8-10/9-11/10-7/6-12/11-8/7 and 1-8/7-5/4-16/11-8/5-16/9 with steps 8/7-12/11-7/6-11/10-10/9-9/8. The latter two have steps which are permutations of the steps of the 11-limit JI hexads.<br />
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			The essentially undecimal marvel chords number tetrads: 8, pentads: 12, hexads: 3, for a total of 23.<br />
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	Equal divisions with undecimal marvel chords include 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce.</body></html></pre></div>		Equal divisions with undecimal marvel chords include 19, 22, 31, 41, 50, 53, 72, 81, 94, 103, 166, 175, 197e, 269ce and 341ce.</body></html></pre></div>

Undecimal marvel chords - Revision history

FloraC at 14:01, 15 October 2024

FloraC: Improve readability; recategorize

FloraC: Recategorize

FloraC: Recategorize

Fredg999 category edits: Removing from Category:Chords using Cat-a-lot

Xenwolf: recat

Xenwolf: +cat

FloraC: Readability improvement; +categories

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 287094062 - Original comment: **

Wikispaces>genewardsmith: Imported revision 287094062 - Original comment: