225edo - Revision history

Sintel at 13:46, 24 March 2025

2025-03-24T13:46:03Z

← Older revision		Revision as of 13:46, 24 March 2025
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	== Scales ==		== Scales ==
	* [[~~Bossier8]]~~		* [[Bossier scales]]
	* [[Bossier11]]
	* [[Bossier14]]

	[[Category:Bossier]]		[[Category:Bossier]]

ArrowHead294 at 14:19, 20 February 2025

2025-02-20T14:19:55Z

← Older revision		Revision as of 14:19, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: Cleanup; note its high errors in all the lower primes

2024-04-02T06:29:07Z

Cleanup; note its high errors in all the lower primes

← Older revision		Revision as of 06:29, 2 April 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''~~225edo~~'''~~ is the [[~~EDO~~\|~~equal division of the octave~~]] ~~into 225 parts of~~ 5~~.3333~~ [[~~cent~~]]~~s each~~. It ~~is inconsistent to the 5-limit and higher limit, with~~ three mappings possible for the 7-limit:		{{EDO intro}}
	* {{val\| 225 357 522 632 }} (patent val),
			== Theory ==
			225edo is in[[consistent]] to the [[5-odd-limit]] and higher limits, with rather large errors in [[harmonic]]s [[3/1\|3]], [[5/1\|5]], [[7/1\|7]], [[11/1\|11]], and [[13/1\|13]]. It has three mappings possible for the 7-limit:
			* {{val\| 225 357 522 632 }} ([[patent val]]),
	* {{val\| 225 '''356''' 522 '''631''' }} (225bd),		* {{val\| 225 '''356''' 522 '''631''' }} (225bd),
	* {{val\| 225 357 '''523''' 632 }} (225c).		* {{val\| 225 357 '''523''' 632 }} (225c).
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	Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.		Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.

	== ~~Harmonics~~ ==		=== Odd harmonics ===
	{{Harmonics in equal\|225}}		{{Harmonics in equal\|225}}

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	* [[Bossier14]]		* [[Bossier14]]

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

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T03:38:17Z

Added "harmonics in equal" table

← Older revision		Revision as of 03:38, 24 June 2023
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	Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.		Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.

			== Harmonics ==
			{{Harmonics in equal\|225}}

	== Scales ==		== Scales ==

Plumtree: Infobox ET added

2022-10-04T21:24:54Z

Infobox ET added

← Older revision		Revision as of 21:24, 4 October 2022
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			{{Infobox ET}}
	'''225edo''' is the [[EDO\|equal division of the octave]] into 225 parts of 5.3333 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit:		'''225edo''' is the [[EDO\|equal division of the octave]] into 225 parts of 5.3333 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit:
	* {{val\| 225 357 522 632 }} (patent val),		* {{val\| 225 357 522 632 }} (patent val),

Fredg999 category edits: Sort key

2022-07-03T18:35:31Z

Sort key

← Older revision		Revision as of 18:35, 3 July 2022
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	* [[Bossier14]]		* [[Bossier14]]

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

FloraC: Cleanup

2021-01-26T05:03:05Z

Cleanup

← Older revision		Revision as of 05:03, 26 January 2021
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	'''225edo''' is the [[EDO\|equal division of the octave]] into 225 parts of 5.3333 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: ~~<~~225 357 522 632\| (patent val), ~~<~~225 356 522 631\| (225bd), ~~and <~~225 357 523 632\| (225c). Using the patent val, it tempers out 20000/19683 and 2109375/2097152 in the 5-limit; 3125/3087, 10976/10935, and 589824/588245 in the 7-limit. Using the 225bd val, it tempers out 78732/78125 (sensipent comma) and \|-52 27 4~~>~~ in the 5-limit; 225/224, 177147/175000, and 40353607/40000000 in the 7-limit. Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.		'''225edo''' is the [[EDO\|equal division of the octave]] into 225 parts of 5.3333 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit:
	=Scales=		* {{val\| 225 357 522 632 }} (patent val),
	*[[Bossier8]]		* {{val\| 225 '''356''' 522 '''631''' }} (225bd),
	*[[Bossier11]]		* {{val\| 225 357 '''523''' 632 }} (225c).
	*[[Bossier14]]
			Using the patent val, it tempers out 20000/19683 and 2109375/2097152 in the 5-limit; 3125/3087, 10976/10935, and 589824/588245 in the 7-limit.

			Using the 225bd val, it tempers out 78732/78125 (sensipent comma) and {{monzo\| -52 27 4 }} in the 5-limit; 225/224, 177147/175000, and 40353607/40000000 in the 7-limit.

			Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.

			== Scales ==
			* [[Bossier8]]
			* [[Bossier11]]
			* [[Bossier14]]

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

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

2020-12-04T23:13:19Z

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
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	*[[Bossier14]]		*[[Bossier14]]

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]

Xenllium: /* Scales */

2019-03-10T10:30:56Z

Scales

← Older revision		Revision as of 10:30, 10 March 2019
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			'''225edo''' is the [[EDO\|equal division of the octave]] into 225 parts of 5.3333 [[cent]]s each. It is inconsistent to the 5-limit and higher limit, with three mappings possible for the 7-limit: <225 357 522 632\| (patent val), <225 356 522 631\| (225bd), and <225 357 523 632\| (225c). Using the patent val, it tempers out 20000/19683 and 2109375/2097152 in the 5-limit; 3125/3087, 10976/10935, and 589824/588245 in the 7-limit. Using the 225bd val, it tempers out 78732/78125 (sensipent comma) and \|-52 27 4> in the 5-limit; 225/224, 177147/175000, and 40353607/40000000 in the 7-limit. Using the 225c val, it tempers out 131072000/129140163 (rodan comma) and 30958682112/30517578125 (trisedodge comma) in the 5-limit; 2401/2400, 4375/4374, and 2097152/2066715 in the 7-limit.
	=Scales=		=Scales=
	[[~~bossier8\|bossier8~~]]		*[[Bossier8]]
			*[[Bossier11]]
			*[[Bossier14]]

	~~[[bossier11\|bossier11]]~~		[[Category:Edo]]

	~~[[bossier14\|bossier14]]~~ [[Category:~~225edo]]~~
	~~[[Category:edo]]~~
	~~[[Category:todo:add_definition~~]]

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>~~		=Scales=
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~		[[bossier8\|bossier8]]
	~~: This revision was by author~~ [[~~User:hstraub~~\|~~hstraub~~]] ~~and made on <tt>2011-06-22 07:23:30 UTC</tt>.<br>~~
	~~: The original revision id was <tt>238144507</tt>.<br>~~		[[bossier11\|bossier11]]
	~~: 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>~~		[[bossier14\|bossier14]] [[Category:225edo]]
	~~<h4>Original Wikitext content:</h4>~~		[[Category:edo]]
	<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">=Scales=		[[Category:todo:add_definition]]
	[[~~bossier8~~]]
	[[~~bossier11~~]]
	[[~~bossier14~~]]~~</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>225edo</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
	~~<a class="wiki_link" href="/bossier8">bossier8</a><br />~~
	~~<a class="wiki_link" href="/bossier11">bossier11</a><br />~~
	~~<a class="wiki_link" href="/bossier14">bossier14</a></body></html></pre></div>~~