187edo - Revision history

FloraC: Linking & formatting

2026-06-17T10:00:24Z

Linking & formatting

← Older revision		Revision as of 10:00, 17 June 2026
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	{{ED intro}}		{{ED intro}}

	This edo is a bit of a chimera. It has a [[3/2\|fifth]] which is 2.9{{c}} flat and a [[5/4\|classical major third]] 1.3 cents flat, but the [[7/1\|7]], [[11/1\|11]] and [[13/1\|13]] are more accurate. ~~The~~ equal temperament [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) in the 5-limit and [[225/224]] in the 7-limit, providing the [[optimal patent val]] for [[sensei]] which tempers out both. In the 11-limit it tempers out [[441/440]], 1375/1372 and [[4000/3993]] and in the 13-limit [[351/350]], [[625/624]], [[1188/1183]], [[1716/1715]] and [[2200/2197]].		== Theory ==
			This edo is a bit of a chimera. It has a [[3/2\|fifth]] which is 2.9{{c}} flat and a [[5/4\|classical major third]] 1.3 cents flat, but the [[7/1\|7]], [[11/1\|11]] and [[13/1\|13]] are more accurate.

			Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) in the [[5-limit]] and [[225/224]] in the [[7-limit]], providing the [[optimal patent val]] for [[sensei]], which tempers out both. In the [[11-limit]] it tempers out [[441/440]], [[1375/1372]] and [[4000/3993]], and in the [[13-limit]] [[351/350]], [[625/624]], [[1188/1183]], [[1716/1715]] and [[2200/2197]].

	=== Odd harmonics ===		=== Odd harmonics ===
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 187 factors into {{~~factorization~~\|~~187~~}}, 187edo contains [[11edo]] and [[17edo]] as its subsets.		Since 187 factors into {{nowrap\| 11 × 17 }}, 187edo contains [[11edo]] and [[17edo]] as its subsets.

	=== Music ===		== Music ==
	* ''[https://www.youtube.com/watch?v=vrFU2J25G1Y Pillow(33) ~~(187edo lullaby)]~~'' ~~by [[JUMBLE]~~] (~~Dec~~ 2024, ~~uses MOS~~ [[22L 11s]])		; [[JUMBLE]]
			* [https://www.youtube.com/watch?v=vrFU2J25G1Y ''Pillow(33)''] (2024) – a 187edo lullaby, using the [[22L 11s]] [[mos]]

ArrowHead294 at 14:09, 20 February 2025

2025-02-20T14:09:03Z

← Older revision		Revision as of 14:09, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	This edo is a bit of a chimera. It has a [[3/2\|fifth]] which is 2.9 ~~cents~~ flat and a [[5/4\|classical major third]] 1.3 cents flat, but the [[7/1\|7]], [[11/1\|11]] and [[13/1\|13]] are more accurate. The equal temperament [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) in the 5-limit and [[225/224]] in the 7-limit, providing the [[optimal patent val]] for [[sensei]] which tempers out both. In the 11-limit it tempers out [[441/440]], 1375/1372 and [[4000/3993]] and in the 13-limit [[351/350]], [[625/624]], [[1188/1183]], [[1716/1715]] and [[2200/2197]].		This edo is a bit of a chimera. It has a [[3/2\|fifth]] which is 2.9{{c}} flat and a [[5/4\|classical major third]] 1.3 cents flat, but the [[7/1\|7]], [[11/1\|11]] and [[13/1\|13]] are more accurate. The equal temperament [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) in the 5-limit and [[225/224]] in the 7-limit, providing the [[optimal patent val]] for [[sensei]] which tempers out both. In the 11-limit it tempers out [[441/440]], 1375/1372 and [[4000/3993]] and in the 13-limit [[351/350]], [[625/624]], [[1188/1183]], [[1716/1715]] and [[2200/2197]].

	=== Odd harmonics ===		=== Odd harmonics ===

BudjarnLambeth: /* Music */

2024-12-02T12:53:20Z

Music

← Older revision		Revision as of 12:53, 2 December 2024
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	=== Music ===		=== Music ===
	* ''[https://www.youtube.com/watch?v=vrFU2J25G1Y Pillow(33) (187edo lullaby)]'' by [[JUMBLE]] (Dec 2024)		* ''[https://www.youtube.com/watch?v=vrFU2J25G1Y Pillow(33) (187edo lullaby)]'' by [[JUMBLE]] (Dec 2024, uses MOS [[22L 11s]])

BudjarnLambeth: Add music

2024-12-02T12:51:46Z

Add music

← Older revision		Revision as of 12:51, 2 December 2024
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 187 factors into {{factorization\|187}}, 187edo contains [[11edo]] and [[17edo]] as its subsets.		Since 187 factors into {{factorization\|187}}, 187edo contains [[11edo]] and [[17edo]] as its subsets.

			=== Music ===
			* ''[https://www.youtube.com/watch?v=vrFU2J25G1Y Pillow(33) (187edo lullaby)]'' by [[JUMBLE]] (Dec 2024)

FloraC: Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories

2024-04-22T16:06:52Z

Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories

← Older revision		Revision as of 16:06, 22 April 2024
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	{{Infobox ET}}		{{Infobox ET}}
	The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.		{{EDO intro}}

	[[~~Category:Equal divisions of~~ the ~~octave~~\|~~###~~]] <!-- 3-~~digit number~~ -->		This edo is a bit of a chimera. It has a [[3/2\|fifth]] which is 2.9 cents flat and a [[5/4\|classical major third]] 1.3 cents flat, but the [[7/1\|7]], [[11/1\|11]] and [[13/1\|13]] are more accurate. The equal temperament [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) in the 5-limit and [[225/224]] in the 7-limit, providing the [[optimal patent val]] for [[sensei]] which tempers out both. In the 11-limit it tempers out [[441/440]], 1375/1372 and [[4000/3993]] and in the 13-limit [[351/350]], [[625/624]], [[1188/1183]], [[1716/1715]] and [[2200/2197]].

			=== Odd harmonics ===
			{{Harmonics in equal\|187}}

			=== Subsets and supersets ===
			Since 187 factors into {{factorization\|187}}, 187edo contains [[11edo]] and [[17edo]] as its subsets.

Plumtree: Infobox ET added

2022-10-04T21:16:37Z

Infobox ET added

← Older revision		Revision as of 21:16, 4 October 2022
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			{{Infobox ET}}
	The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.		The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Fredg999 category edits: Categories

2022-07-02T21:23:24Z

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 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.
	~~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>2012-05-22 15:37:25 UTC</tt>.<br>~~
	~~: The original revision id was <tt>338473758</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 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[~~Sensipent family~~#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.~~</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>187edo</title></head><body>The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for <a class="wiki_link" href="/Sensipent%20family#Sensei">sensei temperament</a> which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 338473758 - Original comment:

2012-05-22T15:37:25Z

**Imported revision 338473758 - 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>2012-05-22 15:37:25 UTC</tt>.<br>
: The original revision id was <tt>338473758</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 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent family#Sensei|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.</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>187edo</title></head><body>The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for <a class="wiki_link" href="/Sensipent%20family#Sensei">sensei temperament</a> which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.</body></html></pre></div>

← Older revision		Revision as of 21:23, 2 July 2022
Line 1:		Line 1:
	The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.		The 187 equal temperament, which divides the octave into 187 parts of 6.417 cents each, is a bit of a chimera. It has a fifth which is 2.9 cents flat and a major third 1.3 cents flat, but the 7, 11 and 13 are more accurate. It tempers out 78732/78125, the sensipent comma, in the 5-limit and 225/224 in the 7-limit, providing the optimal patent val for [[Sensipent_family#Sensei\|sensei temperament]] which tempers out both. In the 11-limit it tempers out 441/440, 1375/1372 and 4000/3993 and in the 13-limit 1188/1183, 351/350, 625/624, 1716/1715 and 2200/2197.

			[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->