Odim and udim - Revision history

Overthink: + links

2025-12-25T13:48:26Z

+ links

← Older revision		Revision as of 13:48, 25 December 2025
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	Odim and udim are a pair of inversely related [[chord]]s of [[7-limit]] just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing. They may also be called the major and minor Huygens triads.		Odim and udim are a pair of inversely related [[chord]]s of [[7-limit]] just intonation, [[5:6:7\|1-6/5-7/5]] and [[30:35:42\|1-7/6-7/5]] in any position and voicing. They may also be called the major and minor Huygens triads.

	They belong to a rank three [[subgroup]] of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.		They belong to a rank three [[subgroup]] of the [[7-limit]], 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.

	Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Subgroup temperaments#Starlingtet\|starlingtet]].		Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Subgroup temperaments#Starlingtet\|starlingtet]].

Lériendil: chromatic pairs link

2024-12-20T05:06:05Z

chromatic pairs link

← Older revision		Revision as of 05:06, 20 December 2024
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	They belong to a rank three [[subgroup]] of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.		They belong to a rank three [[subgroup]] of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.

	Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[~~Chromatic_pairs~~#Starlingtet\|starlingtet]].		Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Subgroup temperaments#Starlingtet\|starlingtet]].

	[[Category:7-limit chords]]		[[Category:7-limit chords]]
	[[Category:Tritriadic scales]]		[[Category:Tritriadic scales]]
	{{todo\|review\|clarify}}		{{todo\|review\|clarify}}

BudjarnLambeth at 07:29, 4 December 2024

2024-12-04T07:29:14Z

← Older revision		Revision as of 07:29, 4 December 2024
Line 3:		Line 3:
	They belong to a rank three [[subgroup]] of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.		They belong to a rank three [[subgroup]] of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.

	Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic]] ~~scale~~ 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Chromatic_pairs#Starlingtet\|starlingtet]].		Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic scale]] 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Chromatic_pairs#Starlingtet\|starlingtet]].

	[[Category:7-limit chords]]		[[Category:7-limit chords]]
	[[Category:Tritriadic scales]]		[[Category:Tritriadic scales]]
	{{todo\|review\|clarify}}		{{todo\|review\|clarify}}

BudjarnLambeth: Add links

2024-12-04T07:28:58Z

Add links

← Older revision		Revision as of 07:28, 4 December 2024
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	Odim and udim are a pair of inversely related ~~chords~~ of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing~~, and~~ may also be called the major and minor ~~Huyghens~~ triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[~~zarlino\|~~zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic_pairs#Starlingtet\|starlingtet]].		Odim and udim are a pair of inversely related [[chord]]s of [[7-limit]] just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing. They may also be called the major and minor Huygens triads.
	[[Category:7-limit]]
			They belong to a rank three [[subgroup]] of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor [[5-limit]] triads, which also belong to a rank-three subgroup of the 7-limit.

			Analogous to [[zarlino]], the 5-limit "JI diatonic", is the [[tritriadic]] scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to [[meantone]] is [[Chromatic_pairs#Starlingtet\|starlingtet]].

			[[Category:7-limit chords]]
	[[Category:Tritriadic scales]]		[[Category:Tritriadic scales]]
	{{todo\|review}}		{{todo\|review\|clarify}}

BudjarnLambeth: Todo

2024-09-19T03:26:41Z

Todo

← Older revision		Revision as of 03:26, 19 September 2024
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	[[Category:7-limit]]		[[Category:7-limit]]
	[[Category:Tritriadic scales]]		[[Category:Tritriadic scales]]
			{{todo\|review}}

BudjarnLambeth: Noticed this page was uncategorised, so I added it to categories "7-limit" and "tritriadic scales"

2023-04-23T10:47:59Z

Noticed this page was uncategorised, so I added it to categories "7-limit" and "tritriadic scales"

← Older revision		Revision as of 10:47, 23 April 2023
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	Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino\|zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic_pairs#Starlingtet\|starlingtet]].		Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino\|zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic_pairs#Starlingtet\|starlingtet]].
			[[Category:7-limit]]
			[[Category:Tritriadic scales]]

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>~~		Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino\|zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic_pairs#Starlingtet\|starlingtet]].
	~~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>2014-11-25 22:43:17 UTC</tt>.<br>~~
	~~: The original revision id was <tt>532726282</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">Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[~~Chromatic pairs~~#Starlingtet\|starlingtet]].~~</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>Odim and udim</title></head><body>Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to <a class="wiki_link" href="/zarlino">zarlino</a>, the 5-limit &quot;JI diatonic&quot;, is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is <a class="wiki_link" href="/Chromatic%20pairs#Starlingtet">starlingtet</a>.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 532726282 - Original comment:

2014-11-25T22:43:17Z

**Imported revision 532726282 - Original comment: **

← Older revision		Revision as of 22:43, 25 November 2014
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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>2014-11-25 22:42:27 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2014-11-25 22:43:17 UTC</tt>.<br>
	: The original revision id was <tt>~~532726212~~</tt>.<br>		: The original revision id was <tt>532726282</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">Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino]], the 5-limit "JI diatonic", is the tritriadic ~~sclae~~ 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic pairs#Starlingtet\|starlingtet]].</pre></div>		<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">Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino]], the 5-limit "JI diatonic", is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic pairs#Starlingtet\|starlingtet]].</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>Odim and udim</title></head><body>Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to <a class="wiki_link" href="/zarlino">zarlino</a>, the 5-limit &quot;JI diatonic&quot;, is the tritriadic ~~sclae~~ 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is <a class="wiki_link" href="/Chromatic%20pairs#Starlingtet">starlingtet</a>.</body></html></pre></div>		<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>Odim and udim</title></head><body>Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to <a class="wiki_link" href="/zarlino">zarlino</a>, the 5-limit &quot;JI diatonic&quot;, is the tritriadic scale 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is <a class="wiki_link" href="/Chromatic%20pairs#Starlingtet">starlingtet</a>.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 532726212 - Original comment:

2014-11-25T22:42:27Z

**Imported revision 532726212 - Original comment: **

New page

<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>2014-11-25 22:42:27 UTC</tt>.<br>
: The original revision id was <tt>532726212</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">Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to [[zarlino]], the 5-limit "JI diatonic", is the tritriadic sclae 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is [[Chromatic pairs#Starlingtet|starlingtet]].</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>Odim and udim</title></head><body>Odim and udim are a pair of inversely related chords of 7-limit just intonation, 1-6/5-7/5 and 1-7/6-7/5 in any position and voicing, and may also be called the major and minor Huyghens triads.. They belong to a rank three subgroup of the 7-limit, 2.5/3.7/3, and in some ways are analogous to the major and minor 5-limit triads, which also belong to a rank-three subgroup of the 7-limit. Analogous to <a class="wiki_link" href="/zarlino">zarlino</a>, the 5-limit &quot;JI diatonic&quot;, is the tritriadic sclae 6/5-7/5-10/7-42/25-12/7-49/25-2, and analogous to meantone is <a class="wiki_link" href="/Chromatic%20pairs#Starlingtet">starlingtet</a>.</body></html></pre></div>