132edo - Revision history

ArrowHead294 at 19:23, 20 February 2025

2025-02-20T19:23:24Z

← Older revision		Revision as of 19:23, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|132~~}}		{{ED intro}}

	132edo is only [[consistent]] to the [[5-odd-limit]]. ~~The equal temperament~~ [[tempering out\|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit.		132edo is only [[consistent]] to the [[5-odd-limit]]. It [[tempering out\|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit.

	Using the [[patent val]], it tempers out [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.		Using the [[patent val]], it tempers out [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.

FloraC: +subsets and supersets; +one-liner overview

2024-05-27T16:25:01Z

+subsets and supersets; +one-liner overview

← Older revision		Revision as of 16:25, 27 May 2024
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	{{EDO intro\|132}}		{{EDO intro\|132}}

	~~Using~~ the [[~~patent val~~]]~~, the~~ equal temperament [[tempering out\|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit; [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.		132edo is only [[consistent]] to the [[5-odd-limit]]. The equal temperament [[tempering out\|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit.

			Using the [[patent val]], it tempers out [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|132}}		{{Harmonics in equal\|132}}

			=== Subsets and supersets ===
			Since 132 factors into {{factorization\|132}}, 132edo has subset edos {{EDOs\| 2, 3, 6, 11, 12, 22, 44, and 66 }}.

FloraC: Cleanup and -redundant categories

2024-05-27T16:20:49Z

Cleanup and -redundant categories

← Older revision		Revision as of 16:20, 27 May 2024
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	{{EDO intro\|132}}		{{EDO intro\|132}}

	Using the patent val, ~~132edo~~ tempers out 531441/524288 (~~pythagorean~~ comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 ~~and [[Quartisma\|117440512/117406179]]~~ in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit; [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.

			=== Odd harmonics ===
	{{Harmonics in equal\|132}}		{{Harmonics in equal\|132}}
	~~{{stub}}~~
	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

BudjarnLambeth at 09:57, 25 January 2024

2024-01-25T09:57:20Z

← Older revision		Revision as of 09:57, 25 January 2024
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	Using the patent val, 132edo tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		Using the patent val, 132edo tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

	{{Harmonics in equal\|132}}		{{Harmonics in equal\|132}}
	{{stub}}		{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

BudjarnLambeth: Edo intro

2024-01-25T09:56:58Z

Edo intro

← Older revision		Revision as of 09:56, 25 January 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''132edo''' is the [[~~EDO\|~~equal division of the octave]] into~~ 132 ~~parts of 9.0909 cents each.~~ Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		{{EDO intro\|132}}

			Using the patent val, 132edo tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

	{{Harmonics in equal\|132}}		{{Harmonics in equal\|132}}
	{{stub}}		{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

BudjarnLambeth: Marked as stub

2024-01-04T01:47:06Z

Marked as stub

← Older revision		Revision as of 01:47, 4 January 2024
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	{{Harmonics in equal\|132}}		{{Harmonics in equal\|132}}
			{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

BudjarnLambeth: Added "harmonics in equal" table

2023-06-24T02:58:59Z

Added "harmonics in equal" table

← Older revision		Revision as of 02:58, 24 June 2023
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	'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

			{{Harmonics in equal\|132}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Aura at 18:56, 4 October 2022

2022-10-04T18:56:31Z

← Older revision		Revision as of 18:56, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

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

Fredg999 category edits: Sort key

2022-07-02T16:34:14Z

Sort key

← Older revision		Revision as of 16:34, 2 July 2022
Line 1:		Line 1:
	'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

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

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

2020-12-04T23:13:08Z

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:
	'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

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

← Older revision		Revision as of 16:20, 27 May 2024
Line 2:		Line 2:
	{{EDO intro\|132}}		{{EDO intro\|132}}

	Using the patent val, ~~132edo~~ tempers out 531441/524288 (~~pythagorean~~ comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 ~~and [[Quartisma\|117440512/117406179]]~~ in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] 531441/524288 ([[Pythagorean comma]]) and 48828125/47775744 ([[sycamore comma]]) in the 5-limit; [[1728/1715]], [[4000/3969]], and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; [[169/168]], [[325/324]], [[364/363]], [[640/637]], and 1875/1859 in the 13-limit.

			=== Odd harmonics ===
	{{Harmonics in equal\|132}}		{{Harmonics in equal\|132}}
	~~{{stub}}~~
	~~[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->~~

← Older revision		Revision as of 02:58, 24 June 2023
Line 2:		Line 2:
	'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.		'''132edo''' is the [[EDO\|equal division of the octave]] into 132 parts of 9.0909 cents each. Using the patent val, it tempers out 531441/524288 (pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, 2420/2401 and [[Quartisma\|117440512/117406179]] in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

			{{Harmonics in equal\|132}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->