952edo - Revision history

ArrowHead294 at 22:58, 20 February 2025

2025-02-20T22:58:38Z

← Older revision		Revision as of 22:58, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|952~~}}		{{ED intro}}

	== Theory ==		== Theory ==
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	=== Miscellaneous properties ===		=== Miscellaneous properties ===
	952edo is notable for having a [[concoctic]] scale which represents a natural ~~phenomenon – 169~~\952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.		952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon—169\952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.

	== Scales ==		== Scales ==
	* SouthSolstitial[169]		* SouthSolstitial[169]

FloraC: Adopt template: Factorization

2023-11-02T11:23:18Z

Adopt template: Factorization

← Older revision		Revision as of 11:23, 2 November 2023
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 952's factorization is ~~2<sup>3</sup> x 7 x 17~~, 952edo has subset EDOs {{EDOs\| 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476}}.		Since 952's factorization is {{factorization\|952}}, 952edo has subset EDOs {{EDOs\| 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476}}.

	=== Miscellaneous properties ===		=== Miscellaneous properties ===

FloraC: Rework

2023-10-20T08:43:20Z

Rework

← Older revision		Revision as of 08:43, 20 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|952}}		{{EDO intro\|952}}


	== Theory ==		== Theory ==
	In the 2.3.~~13.17.19 subgroup~~, ~~952edo tempers out 793152/793117~~.		952edo is in[[consistent]] in the [[5-odd-limit]] despite having a decent approximation to [[3/1\|harmonic 3]]. To start with, as an 11-limit temperament we may consider the 952ce [[val]] {{val\| 952 1509 '''2211''' '''2673''' '''3294''' }} and the 952d val {{val\| 952 1509 '''2210''' '''2672''' '''3293''' }}.

	In the 19-limit ~~as a whole, 952edo tempers out 1445/1444, 1540/1539~~.		Despite having bad approximations, in light of having 28 as a divisor 952edo provides the optimal patent val for the [[oquatonic]] temperament in the 7-limit.

	~~952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon - 169\~~952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.		=== Odd harmonics ===
			{{Harmonics in equal\|952}}

	~~Despite having bad approximations, in light of having 28 as a divisor 952edo provides the optimal patent val for the [[oquatonic]] temperament in the 7-limit.~~		=== Subsets and supersets ===
	===~~Odd harmonics~~===		Since 952's factorization is 2<sup>3</sup> x 7 x 17, 952edo has subset EDOs {{EDOs\| 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476}}.
	{{~~harmonics in equal~~\|~~952~~}}

	===~~Divisors~~===		=== Miscellaneous properties ===
	952edo~~'s factorization~~ is ~~2<sup>3</sup> x 7 x 17~~, ~~and it~~ has ~~subset EDOs {{EDOs\|1~~, ~~2, 4~~, 7~~, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476}}~~.		952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon – 169\952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.

	== Scales ==		== Scales ==
	* SouthSolstitial[169]		* SouthSolstitial[169]

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

BudjarnLambeth at 06:48, 9 July 2023

2023-07-09T06:48:05Z

← Older revision		Revision as of 06:48, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|952}}		{{EDO intro\|952}}

BudjarnLambeth at 05:26, 9 July 2023

2023-07-09T05:26:56Z

← Older revision		Revision as of 05:26, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|952}}		{{EDO intro\|952}}

Eliora: /* Theory */ clarify

2023-02-04T21:27:03Z

Theory: clarify

← Older revision		Revision as of 21:27, 4 February 2023
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	952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon - 169\952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.		952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon - 169\952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.

	In light of having 28 as a divisor, 952edo provides the optimal patent val for the [[oquatonic]] temperament.		Despite having bad approximations, in light of having 28 as a divisor 952edo provides the optimal patent val for the [[oquatonic]] temperament in the 7-limit.
	===Odd harmonics===		===Odd harmonics===
	{{harmonics in equal\|952}}		{{harmonics in equal\|952}}

Eliora: /* Harmonics in equal */

2023-02-04T21:20:59Z

Harmonics in equal

← Older revision		Revision as of 21:20, 4 February 2023
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	In light of having 28 as a divisor, 952edo provides the optimal patent val for the [[oquatonic]] temperament.		In light of having 28 as a divisor, 952edo provides the optimal patent val for the [[oquatonic]] temperament.
	===~~Harmonics in equal~~===		===Odd harmonics===
	{{{harmonics in equal\|952}}		{{harmonics in equal\|952}}

	===Divisors===		===Divisors===

Eliora: for now mos sequence, to say temperament i need to pick out a subgroup first and give it a name, also cleanup.

2023-02-04T21:20:41Z

for now mos sequence, to say temperament i need to pick out a subgroup first and give it a name, also cleanup.

← Older revision		Revision as of 21:20, 4 February 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''952edo''' divides the octave into steps of 1.26 cents each.~~		{{EDO intro\|952}}

	~~952edo's factorization is 2<sup>3</sup> x 7 x 17, and its divisors are {{EDOs\|1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476.}}~~

	== Theory ==		== Theory ==
	~~{{Primes in edo\|952\|columns=15}}~~
	In the 2.3.13.17.19 subgroup, 952edo tempers out 793152/793117.		In the 2.3.13.17.19 subgroup, 952edo tempers out 793152/793117.

	In the 19-limit as a whole, 952edo tempers out 1445/1444, 1540/1539.		In the 19-limit as a whole, 952edo tempers out 1445/1444, 1540/1539.

	952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon - 169\952 is useful both as a cycle length for a leap week calendar and its generator. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.		952edo is notable for having a [[concoctic]] scale which represents a natural phenomenon - 169\952 is useful both as a cycle length for a leap week calendar and its generator, thus being associated with a 169 & 952 mos sequence. The resulting calendar has a year length of 365 days 5h 49m 24.7s. 169/952 of a week, 1d 5h 49m 24.7s is roughly the fraction by which Earth's year length exceeds 52 weeks. The leap day cycle of 33\136 shares the exact same property of concoction, thus 952edo can be viewed as a compound of 7 such MOSes.

			In light of having 28 as a divisor, 952edo provides the optimal patent val for the [[oquatonic]] temperament.
			===Harmonics in equal===
			{{{harmonics in equal\|952}}

			===Divisors===
			952edo's factorization is 2<sup>3</sup> x 7 x 17, and it has subset EDOs {{EDOs\|1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476}}.

	== Scales ==		== Scales ==

Plumtree: Infobox ET added

2022-10-04T22:05:04Z

Infobox ET added

← Older revision		Revision as of 22:05, 4 October 2022
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			{{Infobox ET}}
	'''952edo''' divides the octave into steps of 1.26 cents each.		'''952edo''' divides the octave into steps of 1.26 cents each.

Fredg999 category edits: Categories

2022-07-04T01:08:26Z

← Older revision		Revision as of 01:08, 4 July 2022
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	952edo divides the octave into steps of 1.26 cents each.		'''952edo''' divides the octave into steps of 1.26 cents each.

	952edo's factorization is 2<sup>3</sup> x 7 x 17, and its divisors are {{EDOs\|1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476.}}		952edo's factorization is 2<sup>3</sup> x 7 x 17, and its divisors are {{EDOs\|1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476.}}
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	== Scales ==		== Scales ==
			* SouthSolstitial[169]

	* SouthSolstitial[~~169~~]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->