294edo - Revision history

ArrowHead294 at 14:30, 20 February 2025

2025-02-20T14:30:08Z

← Older revision		Revision as of 14:30, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|294~~}}		{{ED intro}}

	294edo has a very accurate fifth inherited from [[147edo]], only 0.086 ~~cents~~ sharp, but it has a [[5/4]] which is 1.441 ~~cents~~ sharp and a [[7/4]] which is 1.479 ~~cents~~ flat, so that 7/5 is 2.920 ~~cents~~ flat, rendering it in[[consistent]] in the [[7-odd-limit]].		294edo has a very accurate fifth inherited from [[147edo]], only 0.086{{c}} sharp, but it has a [[5/4]] which is 1.441{{c}} sharp and a [[7/4]] which is 1.479{{c}} flat, so that 7/5 is 2.920{{c}} flat, rendering it in[[consistent]] in the [[7-odd-limit]].

	In the 5-limit ~~the equal temperament~~ [[tempering out\|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo\| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].		In the 5-limit 294edo [[tempering out\|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo\| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Cleanup

2024-03-04T08:44:57Z

Cleanup

← Older revision		Revision as of 08:44, 4 March 2024
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	{{EDO intro\|294}}		{{EDO intro\|294}}

	294edo has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat.		294edo has a very accurate fifth inherited from [[147edo]], only 0.086 cents sharp, but it has a [[5/4]] which is 1.441 cents sharp and a [[7/4]] which is 1.479 cents flat, so that 7/5 is 2.920 cents flat, rendering it in[[consistent]] in the [[7-odd-limit]].

	In the 5-limit it tempers out 393216/390625, the ~~wuerschmidt~~ comma, and \|54 -37 2~~>~~, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[~~Trimyna_family\|trymyna temperament~~]] ~~tempering out the trymyna~~, as well as its 11-limit extension, and also supplies the optimal patent val for the rank ~~four~~ temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[~~Mirkwai_clan#Mirkat\|~~mirkat ~~temperament~~]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[~~Starling_temperaments#Valentine temperament\|~~valentine ~~temperament~~]].		In the 5-limit the equal temperament [[tempering out\|tempers out]] 393216/390625, the [[würschmidt comma]], and {{monzo\| 54 -37 2 }}, the [[monzisma]]. The [[patent val]] tempers out 10976/10935, the [[hemimage comma]], and 50421/50000, the [[trimyna comma]], and supplies the [[optimal patent val]] for [[trimyna]] temperament, as well as its 11-limit [[extension]], and also supplies the optimal patent val for the rank-4 temperament tempering out [[3773/3750]]. The 294d val tempers out [[16875/16807]] and [[19683/19600]] instead, supporting [[mirkat]], whereas 294c tempers out [[126/125]] and [[1029/1024]], supporting [[valentine]].

	294 ~~= 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.~~		=== Prime harmonics ===
			{{Harmonics in equal\|294}}

	{{~~Harmonics in equal~~\|~~294~~}}		=== Subsets and supersets ===
	[[Category:~~Equal divisions of the octave\|###~~]] ~~<!-- 3-digit number -->~~		Since 294 factors into 2 × 3 × 49, 294edo has {{EDOs\| 2, 3, 6, 7, 14, 21, 42, 49, 98, and 147 }} as its subsets.

			[[Category:Trimyna]]

BudjarnLambeth: Edo intro

2024-01-25T10:02:21Z

Edo intro

← Older revision		Revision as of 10:02, 25 January 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~The~~ 294 ~~equal division divides the octave into 294 parts of 4.082 cents each. It~~ has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat.		{{EDO intro\|294}}

			294edo has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat.

	In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].		In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T03:16:48Z

Added "harmonics in equal" table

← Older revision		Revision as of 03:16, 24 June 2023
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	{{Infobox ET}}		{{Infobox ET}}
	The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[~~Optimal_patent_val\|~~optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].		The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat.

			In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].

	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.

			{{Harmonics in equal\|294}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Plumtree: Infobox ET added

2022-10-04T21:48:02Z

Infobox ET added

← Older revision		Revision as of 21:48, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[Optimal_patent_val\|optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].		The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[Optimal_patent_val\|optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].

Fredg999 category edits: Categories

2022-07-03T19:09:15Z

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 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[Optimal_patent_val\|optimal patent val]] for [[Trimyna_family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai_clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling_temperaments#Valentine temperament\|valentine temperament]].
	~~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>2013-02-19 13:47:59 UTC</tt>.<br>~~
	~~: The original revision id was <tt>408213938</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 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[~~Trimyna family~~\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[~~Mirkwai clan~~#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[~~Starling temperaments~~#Valentine temperament\|valentine temperament]].

	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.~~</pre></div>~~		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.
	~~<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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<br />
	~~<br />~~
	~~294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html></pre></div>~~

Wikispaces>genewardsmith: Imported revision 408213938 - Original comment:

2013-02-19T13:47:59Z

**Imported revision 408213938 - Original comment: **

Wikispaces>genewardsmith: Imported revision 408213556 - Original comment:

2013-02-19T13:46:50Z

**Imported revision 408213556 - Original comment: **

Wikispaces>genewardsmith: Imported revision 267720748 - Original comment:

2011-10-23T20:07:34Z

**Imported revision 267720748 - Original comment: **

← Older revision		Revision as of 19:09, 3 July 2022
Line 2:		Line 2:

	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.

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

← Older revision		Revision as of 13:47, 19 February 2013
Line 1:		Line 1:
	<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>2013-02-19 13:46:50 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-02-19 13:47:59 UTC</tt>.<br>
	: The original revision id was <tt>~~408213556~~</tt>.<br>		: The original revision id was <tt>408213938</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">The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, ~~anmd~~ also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament\|valentine temperament]].		<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 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament\|valentine temperament]].

	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</pre></div>		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension, ~~anmd~~ also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension, and also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<br />
	<br />		<br />
	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html></pre></div>		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html></pre></div>

← Older revision		Revision as of 13:46, 19 February 2013
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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~~-10-~~23 20~~:07:34 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-02-19 13:46:50 UTC</tt>.<br>
	: The original revision id was <tt>~~267720748~~</tt>.<br>		: The original revision id was <tt>408213556</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">The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament\|valentine temperament]].		<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 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension, anmd also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament\|valentine temperament]].

	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</pre></div>		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension, anmd also supplies the optimal patent val for the rank four temperament tempering out 3773/3750. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<br />
	<br />		<br />
	294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html></pre></div>		294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html></pre></div>

← Older revision		Revision as of 20:07, 23 October 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>2011-10-23 20:02:07 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-10-23 20:07:34 UTC</tt>.<br>
	: The original revision id was <tt>~~267719478~~</tt>.<br>		: The original revision id was <tt>267720748</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">The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament\|valentine temperament]].</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">The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family\|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat\|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament\|valentine temperament]].

			294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</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>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and \|54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<br />
			<br />
			294 = 2349, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html></pre></div>