346edo - Revision history

ArrowHead294 at 14:44, 20 February 2025

2025-02-20T14:44:15Z

← Older revision		Revision as of 14:44, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|346~~}}		{{ED intro}}

	346edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1\|3]], [[5/1\|5]], and [[7/1\|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament. Using the [[patent val]] nonetheless, the equal temperament [[tempering out\|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is an excellent tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440.		346edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1\|3]], [[5/1\|5]], and [[7/1\|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament. Using the [[patent val]] nonetheless, the equal temperament [[tempering out\|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is an excellent tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440.

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

2023-11-15T07:19:55Z

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

← Older revision		Revision as of 07:19, 15 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''~~346edo~~''' divides~~ the ~~octave into 346 equal parts~~ of ~~size~~ 3.~~468 cents each~~. ~~While that is a lot of parts~~, ~~not all of them must be used to gain~~ the ~~benefits of the tuning, which~~ tempers out ~~19683/19600, 2401/2400,~~ 243/242, 441/440, 540/539, 4000/3993 ~~and~~ 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&~~130~~ temperament, as well as the rank ~~three~~ temperament jove which tempers out 243/242 and 441/440.		{{EDO intro\|346}}

			346edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1\|3]], [[5/1\|5]], and [[7/1\|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament. Using the [[patent val]] nonetheless, the equal temperament [[tempering out\|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is an excellent tuning for the 11-limit version of [[harry]], the 72 & 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440.

			=== Odd harmonics ===
			{{Harmonics in equal\|346}}

			=== Subsets and supersets ===
			Since 346 factors into {{factorization\|346}}, 346edo contains [[2edo]] and [[173edo]] as subsets.

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

Plumtree: Infobox ET added

2022-10-04T21:51:31Z

Infobox ET added

← Older revision		Revision as of 21:51, 4 October 2022
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			{{Infobox ET}}
	'''346edo''' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.		'''346edo''' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.

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

Fredg999 category edits: Sort key

2022-07-03T19:40:18Z

Sort key

← Older revision		Revision as of 19:40, 3 July 2022
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	''346edo'' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.		'''346edo''' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.
	[[Category:Equal divisions of the octave]]
	[[Category:~~nano~~]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->
			[[Category:Nano]]

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:51Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
Line 1:		Line 1:
	''346edo'' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.		''346edo'' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.
	[[Category:~~edo~~]]		[[Category:Equal divisions of the octave]]
	[[Category:nano]]		[[Category:nano]]

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>~~		''346edo'' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[Category:edo]]
	~~: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2010-08-06 19:37:19 UTC</tt>.<br>~~		[[Category:nano]]
	~~: The original revision id was <tt>155492901</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">//346edo// divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.~~</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>346edo</title></head><body><em>346edo</em> divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&amp;130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.</body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 155492901 - Original comment:

2010-08-06T19:37:19Z

**Imported revision 155492901 - 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>2010-08-06 19:37:19 UTC</tt>.<br>
: The original revision id was <tt>155492901</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">//346edo// divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.</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>346edo</title></head><body><em>346edo</em> divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&amp;130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.</body></html></pre></div>