Jove chords - Revision history

FloraC: Improve readability; recategorize

2024-10-17T12:51:07Z

Improve readability; recategorize

FloraC: Recategorize

2023-05-23T11:55:31Z

Recategorize

← Older revision		Revision as of 11:55, 23 May 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
			[[Category:Essentially tempered chords]]
			[[Category:Tetrads]]
			[[Category:Pentads]]
			[[Category:Hexads]]
	[[Category:Jove]]		[[Category:Jove]]
	~~[[Category:Essentially tempered chords]]~~
	~~[[Category:Tetrad]]~~
	~~[[Category:Pentad]]~~
	~~[[Category:Hexad]]~~

FloraC: Readability improvement

2021-06-21T12:16:47Z

Readability improvement

← Older revision		Revision as of 12:16, 21 June 2021
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	A ''jove chord'' is an 11 odd limit [[essentially tempered chord]] in [[~~Breed_family#Jove, aka Wonder\|~~jove ~~temperament~~]]. Since 243/242 is tempered out, [[~~rastmic_chords\|~~rastmic chords]] are also jove chords; since 441/440 is tempered out, [[~~werckismic_chords\|~~werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[~~swetismic_chords\|~~swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.		A '''jove chord''' is an [[11-odd-limit]] [[essentially tempered chord]] in [[jove]] temperament. Since [[243/242]] is tempered out, [[rastmic chords]] are also jove chords; since [[441/440]] is tempered out, [[werckismic chords]] are also jove chords; and since [[540/539]] is tempered out, [[swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.

	These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 ~~and~~ with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.		These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship:
			* 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7;
			* 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6;
			* 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7;
			* 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 with steps 9/8-12/11-7/6-7/5;
			* 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.

	There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.		There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are
			* 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10;
			* 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11;
			* 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6;
			* 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11;
			* 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7;
			* 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11;
			* 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and
			* 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.

	Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; ~~and a pair whose steps are permutations of the JI hexad--~~1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.		Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords:
			* 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7;
			* 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11;
			* 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7;
			* 1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.

	The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.		The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.

	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.		Equal divisions with jove tetrads include {{EDOs\| 31, 41, 58, 72, 130, 161, 171 and 202 }}.

	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Jove]]		[[Category:Jove]]
			[[Category:Essentially tempered chords]]
	[[Category:Tetrad]]		[[Category:Tetrad]]
	[[Category:~~Essentially tempered chords~~]]		[[Category:Pentad]]
			[[Category:Hexad]]
	~~{{Todo\|add links}}~~

Xenwolf: recat

2021-05-20T08:33:54Z

recat

← Older revision		Revision as of 08:33, 20 May 2021
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	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.

	[[Category:11-limit]]		[[Category:11-odd-limit]]
	[[Category:Jove]]		[[Category:Jove]]
	[[Category:Tetrad]]		[[Category:Tetrad]]

Xenwolf: +cat

2021-05-20T07:19:23Z

+cat

← Older revision		Revision as of 07:19, 20 May 2021
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	A ''jove chord'' is an 11 odd limit [[~~Dyadic_chord\|~~essentially tempered chord]] in [[Breed_family#Jove, aka Wonder\|jove temperament]]. Since 243/242 is tempered out, [[rastmic_chords\|rastmic chords]] are also jove chords; since 441/440 is tempered out, [[werckismic_chords\|werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[swetismic_chords\|swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.		A ''jove chord'' is an 11 odd limit [[essentially tempered chord]] in [[Breed_family#Jove, aka Wonder\|jove temperament]]. Since 243/242 is tempered out, [[rastmic_chords\|rastmic chords]] are also jove chords; since 441/440 is tempered out, [[werckismic_chords\|werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[swetismic_chords\|swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.

	These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.		These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.
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	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.

	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:~~jove~~]]		[[Category:Jove]]
	[[Category:~~tetrad~~]]		[[Category:Tetrad]]
	[[Category:~~todo:add_links~~]]		[[Category:Essentially tempered chords]]

			{{Todo\|add links}}

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>~~		A ''jove chord'' is an 11 odd limit [[Dyadic_chord\|essentially tempered chord]] in [[Breed_family#Jove, aka Wonder\|jove temperament]]. Since 243/242 is tempered out, [[rastmic_chords\|rastmic chords]] are also jove chords; since 441/440 is tempered out, [[werckismic_chords\|werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[swetismic_chords\|swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.
	~~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>2011-12-17 17:28:00 UTC</tt>.<br>~~
	~~: The original revision id was <tt>287094230</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">A //jove chord// is an 11 odd limit [[~~Dyadic chord~~\|essentially tempered chord]] in [[~~Breed family~~#Jove, aka Wonder\|jove temperament]]. Since 243/242 is tempered out, [[rastmic chords]] are also jove chords; since 441/440 is tempered out, [[werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.

	These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.		These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.
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	The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.		The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.

	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. ~~</pre></div>~~		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:11-limit]]
	~~<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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmic%20chords">rastmic chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <br />		[[Category:jove]]
	~~<br />~~		[[Category:tetrad]]
	~~These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship~~: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.<br />		[[Category:todo:add_links]]
	~~<br />~~
	~~There are sixteen essentially~~ jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.<br />
	~~<br />~~
	~~Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords~~: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.<br />
	~~<br />~~
	~~The essentially jove chords number tetrads: 9, pentads~~: ~~16, hexads~~: ~~6, for a total of 31.<br />~~
	~~<br />~~
	~~Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.</body></html></pre></div>~~

Wikispaces>genewardsmith: Imported revision 287094230 - Original comment:

2011-12-17T17:28:00Z

**Imported revision 287094230 - Original comment: **

← Older revision		Revision as of 17:28, 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 22~~:25:41 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-17 17:28:00 UTC</tt>.<br>
	: The original revision id was <tt>~~286730030~~</tt>.<br>		: The original revision id was <tt>287094230</tt>.<br>
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	Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.		Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.

			The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.

	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. </pre></div>		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. </pre></div>
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	<br />		<br />
	Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.<br />		Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.<br />
			<br />
			The essentially jove chords number tetrads: 9, pentads: 16, hexads: 6, for a total of 31.<br />
	<br />		<br />
	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.</body></html></pre></div>		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 286730030 - Original comment:

2011-12-15T22:25:41Z

**Imported revision 286730030 - Original comment: **

Wikispaces>genewardsmith: Imported revision 286729950 - Original comment:

2011-12-15T22:25:11Z

**Imported revision 286729950 - Original comment: **

Wikispaces>genewardsmith: Imported revision 286729862 - Original comment:

2011-12-15T22:24:40Z

**Imported revision 286729862 - Original comment: **

← Older revision		Revision as of 22:24, 15 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 18:58:10 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-15 22:24:40 UTC</tt>.<br>
	: The original revision id was <tt>~~286694278~~</tt>.<br>		: The original revision id was <tt>286729862</tt>.<br>
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	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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	There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.		There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.

	Finally, there are		Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.

			Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. </pre></div>

	Equal divisions with jove tetrads include 31, 41, 58, 72, 130 and 202. </pre></div>
	<h4>Original HTML content:</h4>		<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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chords</a> chords in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmich%20chords">rastmich chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <br />		<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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chords</a> chords in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmich%20chords">rastmich chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <br />
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	There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.<br />		There are sixteen essentially jove pentads, consisting of eight inverse pairs. These are 1-11/9-10/7-11/7-7/4 with steps 11/9-7/6-11/10-10/9-8/7 and 1-7/6-10/7-18/11-20/11 with steps 7/6-11/9-8/7-10/9-11/10; 1-7/6-3/2-18/11-11/6 with steps 7/6-9/7-12/11-9/8-12/11 and 1-9/7-3/2-18/11-11/6 with steps 9/7-7/6-12/11-9/8-12/11; 1-11/9-11/8-3/2-7/4 with steps 11/9-9/8-12/11-7/6-8/7 and 1-12/11-11/9-3/2-12/7 with steps 12/11-9/8-11/9-8/7-7/6; 1-9/8-11/9-3/2-7/4 with steps 9/8-12/11-11/9-7/6-8/7 and 1-9/8-9/7-3/2-11/6 with steps 9/8-8/7-7/6-11/9-12/11; 1-9/8-11/9-10/7-7/4 with steps 9/8-12/11-7/6-11/9-8/7 and 1-11/9-10/7-14/9-7/4 with steps 11/9-7/6-12/11-9/8-8/7; 1-9/8-11/9-10/7-11/7 with steps 9/8-12/11-7/6-11/10-14/11 and 1-9/8-10/7-11/7-11/6 with steps 9/8-14/11-11/10-7/6-12/11; 1-9/8-11/9-11/8-7/4 with steps 9/8-12/11-9/8-14/11-8/7 and 1-14/11-10/7-14/9-7/4 with steps 14/11-9/8-12/11-9/8-8/7; and 1-9/8-11/9-11/7-7/4 with steps 9/8-12/11-9/7-10/9-8/7 and 1-9/7-7/5-11/7-9/5 with steps 9/7-12/11-9/8-8/7-10/9.<br />
	<br />		<br />
	Finally, there are ~~&lt~~;br /~~&gt~~;		Finally, there are six essentially jove hexads, two palindromic and two pairs of inversely related chords: 1-9/8-11/9-11/8-11/7-7/4 with steps 9/8-12/11-9/8-8/7-10/9-8/7; 1-7/6-9/7-3/2-18/11-11/6 with steps 7/6-11/10-7/6-12/11-9/8-12/11; 1-9/8-9/7-3/2-18/11-11/6 with steps 9/8-8/7-7/6-12/11-9/8-12/11 and 1-9/8-11/9-11/8-3/2-7/4 with steps 9/8-12/11-9/8-12/11-7/6-8/7; and a pair whose steps are permutations of the JI hexad--1-9/8-9/7-10/7-11/7-11/6 with steps 9/8-8/7-10/9-11/10-7/6-12/11 and 1-9/8-11/9-10/7-11/7-7/4 with steps 9/8-12/11-7/6-11/10-10/9-8/7.<br />
	~~&lt~~;br /~~>~~
	<br />
	<br />		<br />
	Equal divisions with jove tetrads include 31, 41, 58, 72, 130 and 202.</body></html></pre></div>		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202.</body></html></pre></div>

← Older revision		Revision as of 22:25, 15 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 22:25:11 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-15 22:25:41 UTC</tt>.<br>
	: The original revision id was <tt>~~286729950~~</tt>.<br>		: The original revision id was <tt>286730030</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>
	<h4>Original Wikitext content:</h4>		<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">A //jove chord// is an 11 odd limit [[Dyadic chord\|essentially tempered ~~chords~~]] ~~chords~~ in [[Breed family#Jove, aka Wonder\|jove temperament]]. Since 243/242 is tempered out, [[rastmic chords]] are also jove chords; since 441/440 is tempered out, [[werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.		<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">A //jove chord// is an 11 odd limit [[Dyadic chord\|essentially tempered chord]] in [[Breed family#Jove, aka Wonder\|jove temperament]]. Since 243/242 is tempered out, [[rastmic chords]] are also jove chords; since 441/440 is tempered out, [[werckismic chords]] are also jove chords; and since 540/539 is tempered out, [[swetismic chords]] are also jove chords. Aside from these, there are also essentially jove tempered chords.

	These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.		These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.
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	Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. </pre></div>		Equal divisions with jove tetrads include 31, 41, 58, 72, 130, 161, 171 and 202. </pre></div>
	<h4>Original HTML content:</h4>		<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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered ~~chords~~</a> ~~chords~~ in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmic%20chords">rastmic chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <br />		<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>jove chords</title></head><body>A <em>jove chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> in <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove temperament</a>. Since 243/242 is tempered out, <a class="wiki_link" href="/rastmic%20chords">rastmic chords</a> are also jove chords; since 441/440 is tempered out, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also jove chords; and since 540/539 is tempered out, <a class="wiki_link" href="/swetismic%20chords">swetismic chords</a> are also jove chords. Aside from these, there are also essentially jove tempered chords. <br />
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	These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.<br />		These are nine tetrads, one palindromic tetrad and four pairs in inverse relationship: 1-11/9-10/7-7/4 with steps 11/9-7/6-11/9-8/7; 1-11/9-3/2-7/4 with steps 11/9-11/9-7/6-8/7 and 1-11/9-3/2-12/7 with steps 11/9-11/9-8/7-7/6; 1-9/8-11/9-7/4 with steps 9/8-12/11-10/7-8/7 and 1-10/7-14/9-7/4 with steps 10/7-12/11-9/8-8/7; 1-9/8-11/7-11/6 with steps 9/8-7/5-7/6-12/11 and 1-9/8-11/9-10/7 and with steps 9/8-12/11-7/6-7/5; 1-9/7-7/5-11/7 with steps 9/7-12/11-9/8-14/11 and 1-9/7-18/11-11/6 with steps 9/7-14/11-9/8-12/11.<br />