368edo - Revision history

ArrowHead294 at 22:35, 20 February 2025

2025-02-20T22:35:57Z

← Older revision		Revision as of 22:35, 20 February 2025
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	368edo [[support]]s the 11-limit [[octoid]] temperament. The alternative 368f [[val]] supports the 13-limit octoid, and 368fff val supports the octopus temperament.		368edo [[support]]s the 11-limit [[octoid]] temperament. The alternative 368f [[val]] supports the 13-limit octoid, and 368fff val supports the octopus temperament.

	368edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments\|icositritonic]] temperament (46 & 161, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.		368edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments\|icositritonic]] temperament ({{nowrap\|46 & 161}}, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.

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

ArrowHead294 at 22:35, 20 February 2025

2025-02-20T22:35:42Z

← Older revision		Revision as of 22:35, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|368~~}}		{{ED intro}}

	The equal temperament [[tempering out\|tempers out]] 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; [[4375/4374]], [[16875/16807]], and 33756345/33554432 in the 7-limit. Using the [[patent val]], it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.		The equal temperament [[tempering out\|tempers out]] 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; [[4375/4374]], [[16875/16807]], and 33756345/33554432 in the 7-limit. Using the [[patent val]], it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.

FloraC: Rework; -inexistent links

2023-11-09T14:59:08Z

Rework; -inexistent links

← Older revision		Revision as of 14:59, 9 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''368edo''' is the [[~~EDO\|~~equal division of the octave]] into~~ 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.		{{EDO intro\|368}}

	~~== Related regular temperaments ==~~		The equal temperament [[tempering out\|tempers out]] 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; [[4375/4374]], [[16875/16807]], and 33756345/33554432 in the 7-limit. Using the [[patent val]], it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.
	~~368edo~~ [[~~support~~]]s the 11-limit [[~~Ragismic microtemperaments\|octoid temperament~~]]. ~~Alternative 368f~~ val ~~supports~~ the 13-limit ~~octoid~~, and ~~368fff val supports~~ the ~~octopus temperament~~.

	368edo ~~is very nearly the POTE tuning of~~ [[23-limit]] [[~~Porwell temperaments\|icositritonic~~]] temperament ~~(46&161, named by~~ [[~~User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo~~]], and the ~~368ci val~~.		368edo [[support]]s the 11-limit [[octoid]] temperament. The alternative 368f [[val]] supports the 13-limit octoid, and 368fff val supports the octopus temperament.

	~~==Related scales==~~		368edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments\|icositritonic]] temperament (46 & 161, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
	~~Icositritonic scales~~
	*[[~~Icositritonic69~~]]
	*[[~~Icositritonic115~~]]
	*[[~~Icositritonic161~~]]
	*[[~~Icositritonic207~~]]

	~~[[Category:Equal divisions of the octave~~\|~~###]] <!-- 3-digit number -->~~		=== Odd harmonics ===
			{{Harmonics in equal\|368}}

			=== Subsets and supersets ===
			Since 368 factors into {{factorization\|368}}, 368edo has subset edos {{EDOs\| 2, 4, 8, 16, 23, 46, 92, and 184 }}.

Plumtree: Infobox ET added

2022-10-04T21:52:56Z

Infobox ET added

← Older revision		Revision as of 21:52, 4 October 2022
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			{{Infobox ET}}
	'''368edo''' is the [[EDO\|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.		'''368edo''' is the [[EDO\|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.

Fredg999 category edits: Sort key

2022-07-03T21:41:53Z

Sort key

← Older revision		Revision as of 21:41, 3 July 2022
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	*[[Icositritonic207]]		*[[Icositritonic207]]

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

Cmloegcmluin: link to new page for Supports

2022-01-25T17:50:27Z

link to new page for Supports

← Older revision		Revision as of 17:50, 25 January 2022
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	== Related regular temperaments ==		== Related regular temperaments ==
	368edo ~~supports~~ the 11-limit [[Ragismic microtemperaments\|octoid temperament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.		368edo [[support]]s the 11-limit [[Ragismic microtemperaments\|octoid temperament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.

	368edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments\|icositritonic]] temperament (46&161, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.		368edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments\|icositritonic]] temperament (46&161, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.

Xenllium: /* Related regular temperaments */

2021-04-22T11:16:07Z

Related regular temperaments

@@ Line 1: / Line 1: @@
 '''368edo''' is the [[EDO|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.
-==Related regular temperaments==
+== Related regular temperaments ==
 edo supports the 11-limit [[Ragismic microtemperaments|octoid temperament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.
-edo is very nearly the POTE tuning of [[23-limit]] 46&amp;161 temperament (''Icositritonic'' temperament, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
+edo is very nearly the POTE tuning of [[23-limit]] [[Porwell temperaments|icositritonic]] temperament (46&amp;161, named by [[User:Xenllium|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.
 ==Related scales==

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

2020-12-04T23:13:52Z

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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	*[[Icositritonic207]]		*[[Icositritonic207]]

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

Xenllium: /* Related regular temperaments */minor edit

2019-03-18T03:09:52Z

Related regular temperaments: minor edit

← Older revision		Revision as of 03:09, 18 March 2019
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	'''368edo''' is the [[EDO\|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.		'''368edo''' is the [[EDO\|equal division of the octave]] into 368 parts of 3.26087 [[cent]]s each. It tempers out 1220703125/1207959552 (ditonma) and 205891132094649/204800000000000 in the 5-limit; 4375/4374, 16875/16807, and 33756345/33554432 in the 7-limit. Using the patent val, it tempers out 540/539, 1375/1372, and 4000/3993 in the 11-limit; 2205/2197, 4225/4224, and 10648/10647 in the 13-limit.

	==Related regular ~~tempemraments~~==		==Related regular temperaments==
	368edo supports the 11-limit [[Ragismic microtemperaments\|octoid ~~tempemrament~~]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus ~~tempemrament~~.		368edo supports the 11-limit [[Ragismic microtemperaments\|octoid temperament]]. Alternative 368f val supports the 13-limit octoid, and 368fff val supports the octopus temperament.

	368edo is very nearly the POTE tuning of [[23-limit]] 46&161 ~~tempemrament~~ (''Icositritonic'' ~~tempemrament~~, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.		368edo is very nearly the POTE tuning of [[23-limit]] 46&161 temperament (''Icositritonic'' temperament, named by [[User:Xenllium\|Xenllium]]), which is supported by [[46edo]], [[115edo]], [[161edo]], [[207edo]], and the 368ci val.

	===Icositritonic ~~tempemrament~~ (46 & 161)===		===Icositritonic temperament (46 & 161)===
	'''<font style="font-size: 1.2em">7-limit</font>'''<br>		'''<font style="font-size: 1.2em">7-limit</font>'''<br>
	Commas: 6144/6125, 9920232/9765625<br><br>		Commas: 6144/6125, 9920232/9765625<br><br>

Xenllium: /* Related scales */minor edit

2019-03-17T23:40:30Z

Related scales: minor edit

← Older revision		Revision as of 23:40, 17 March 2019
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	Badness: 0.01774		Badness: 0.01774

	==Related ~~scale~~==		==Related scales==
			Icositritonic scales
			*[[Icositritonic69]]
	*[[Icositritonic115]]		*[[Icositritonic115]]
	*[[Icositritonic161]]		*[[Icositritonic161]]