110edo - Revision history

Contribution at 09:08, 28 August 2025

2025-08-28T09:08:48Z

← Older revision		Revision as of 09:08, 28 August 2025
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 110 factors into {{factorization\|110}}, 110edo has subset edos {{EDOs\| 2, 5, 10, 11, 22, and 55 }}.		Since 110 factors into {{factorization\|110}}, 110edo has subset edos {{EDOs\| 2, 5, 10, 11, 22, and 55 }}.
			110ed8, built by taking every third step of 110edo, is a system where primes 3, 5, 7, 11, 17, 23, 29 are mapped exactly as in 110edo.

	== Intervals ==		== Intervals ==

2025-08-03T03:27:12Z

Instruments

2025-02-20T16:36:22Z

2024-06-04T13:10:30Z

Theory: +subsets and supersets

← Older revision		Revision as of 13:10, 4 June 2024
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	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|110}}		{{Harmonics in equal\|110}}

			=== Subsets and supersets ===
			Since 110 factors into {{factorization\|110}}, 110edo has subset edos {{EDOs\| 2, 5, 10, 11, 22, and 55 }}.

	== Intervals ==		== Intervals ==

2024-06-04T13:09:18Z

Cleanup

← Older revision		Revision as of 13:09, 4 June 2024
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	== Theory ==		== Theory ==
	It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.		The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and 3486784401/3355443200 in the 5-limit. Using the [[patent val]], it tempers out [[1728/1715]], [[3125/3087]], and 3645/3584 in the 7-limit.

			=== Odd harmonics ===
	{{Harmonics in equal\|110}}		{{Harmonics in equal\|110}}

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

2024-01-21T07:09:48Z

Added interval table

← Older revision		Revision as of 07:09, 21 January 2024
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	== Theory ==		== Theory ==
	It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.{{Harmonics in equal\|110}}		It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.

			{{Harmonics in equal\|110}}

			== Intervals ==
			{{Interval table}}

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

2024-01-04T01:43:54Z

Marked as stub

← Older revision		Revision as of 01:43, 4 January 2024
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	== Theory ==		== Theory ==
	It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.{{Harmonics in equal\|110}}		It tempers out 15625/15552 and 3486784401/3355443200 in the 5-limit. Using the patent val, it tempers out 1728/1715, 3125/3087, and 3645/3584 in the 7-limit.{{Harmonics in equal\|110}}
			{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

2023-05-30T21:15:14Z

2023-05-02T11:13:55Z

Theory

← Older revision		Revision as of 11:13, 2 May 2023
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	== Theory ==		== Theory ==
	{{Harmonics in equal\|110}}		{{Harmonics in equal\|110}}
	Since 110edo has a step of 10.9090909091 cents, it also allows one to use its MOS scales as circulating ~~temperaments~~. As 10*[[11edo]], it is the first edo which allows one to use consecutive smaller edos as [[circulating ~~temperament]]s~~.		Since 110edo has a step of 10.9090909091 cents, it also allows one to use its MOS scales as [[circulating temperament]]s. As 10*[[11edo]], it is the first edo which allows one to use consecutive smaller edos as circulating temperaments.
	{\| class="wikitable"		{\| class="wikitable"
	\|+Circulating temperaments in 110edo		\|+Circulating temperaments in 110edo

2023-05-02T11:13:34Z

Theory: Made the words "circulating temperaments" into a link to the circulating temperament page

← Older revision		Revision as of 11:13, 2 May 2023
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	== Theory ==		== Theory ==
	{{Harmonics in equal\|110}}		{{Harmonics in equal\|110}}
	Since 110edo has a step of 10.9090909091 cents, it also allows one to use its MOS scales as circulating temperaments. As 10*[[11edo]], it is the first edo which allows one to use consecutive smaller edos as circulating ~~temperaments~~.		Since 110edo has a step of 10.9090909091 cents, it also allows one to use its MOS scales as circulating temperaments. As 10*[[11edo]], it is the first edo which allows one to use consecutive smaller edos as [[circulating temperament]]s.
	{\| class="wikitable"		{\| class="wikitable"
	\|+Circulating temperaments in 110edo		\|+Circulating temperaments in 110edo