59edt - Revision history

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:23:11Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:23, 1 August 2025
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	EDOs: {{EDOs\|335, 1489, 1824, 2159, 2494, 2829, 3164}}		EDOs: {{EDOs\|335, 1489, 1824, 2159, 2494, 2829, 3164}}

	~~[[Category:Edonoi]]~~

Fredg999 category edits: Removing from Category:Edt using Cat-a-lot

2025-07-31T15:31:35Z

Removing from Category:Edt using Cat-a-lot

← Older revision		Revision as of 15:31, 31 July 2025
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	EDOs: {{EDOs\|335, 1489, 1824, 2159, 2494, 2829, 3164}}		EDOs: {{EDOs\|335, 1489, 1824, 2159, 2494, 2829, 3164}}

	~~[[Category:Edt]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth: Add intervals

2024-10-06T07:21:57Z

Add intervals

← Older revision		Revision as of 07:21, 6 October 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by [[335edo\|335]], [[1489edo\|1489]], [[1824edo\|1824]], [[2159edo\|2159]], [[2494edo\|2494]], [[2829edo\|2829]], and [[3164edo\|3164]] EDOs.		'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by [[335edo\|335]], [[1489edo\|1489]], [[1824edo\|1824]], [[2159edo\|2159]], [[2494edo\|2494]], [[2829edo\|2829]], and [[3164edo\|3164]] EDOs.

			== Intervals ==
			{{Interval table}}

	== Prime harmonics ==		== Prime harmonics ==
	{{Harmonics in equal\|59\|3\|1\|intervals=prime}}		{{Harmonics in equal
			\| steps = 59
			\| num = 3
			\| denom = 1
			\| intervals = prime
			}}
			{{Harmonics in equal
			\| steps = 59
			\| num = 3
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			\| intervals = prime
			}}

	=Related regular temperaments=		==Related regular temperaments==
	==149&186 temperament==		===149&186 temperament===
	===5-limit===		====5-limit====
	Comma: \|118 12 -59>		Comma: \|118 12 -59>

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	EDOs: {{EDOs\|37, 149, 186, 335, 484, 521}}		EDOs: {{EDOs\|37, 149, 186, 335, 484, 521}}

	===7-limit 149&186===		====7-limit 149&186====
	Commas: 3136/3125, 49433168575/48922361856		Commas: 3136/3125, 49433168575/48922361856

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	EDOs: {{EDOs\|37, 149, 186, 335}}		EDOs: {{EDOs\|37, 149, 186, 335}}

	===7-limit 149d&186===		====7-limit 149d&186====
	Commas: 1280000000/1275989841, 8589934592/8544921875		Commas: 1280000000/1275989841, 8589934592/8544921875

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	EDOs: {{EDOs\|149d, 186, 335d, 521, 707}}		EDOs: {{EDOs\|149d, 186, 335d, 521, 707}}

	===7-limit 149&186d===		====7-limit 149&186d====
	Commas: 29360128/29296875, 1937102445/1927561216		Commas: 29360128/29296875, 1937102445/1927561216

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	EDOs: {{EDOs\|149, 186d, 335d, 484, 633}}		EDOs: {{EDOs\|149, 186d, 335d, 484, 633}}

	==335&2159 temperament==		===335&2159 temperament===
	===5-limit===		====5-limit====
	Comma: \|413 -347 59>		Comma: \|413 -347 59>

Lériendil at 05:18, 6 October 2024

2024-10-06T05:18:14Z

← Older revision		Revision as of 05:18, 6 October 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by [[335edo\|335]], [[1489edo\|1489]], [[1824edo\|1824]], [[2159edo\|2159]], [[2494edo\|2494]], [[2829edo\|2829]], and [[3164edo\|3164]] EDOs.		'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by [[335edo\|335]], [[1489edo\|1489]], [[1824edo\|1824]], [[2159edo\|2159]], [[2494edo\|2494]], [[2829edo\|2829]], and [[3164edo\|3164]] EDOs.

			== Prime harmonics ==
			{{Harmonics in equal\|59\|3\|1\|intervals=prime}}

	=Related regular temperaments=		=Related regular temperaments=

Francium: Linking EDOs to their respective pages

2023-05-06T22:27:31Z

Linking EDOs to their respective pages

← Older revision		Revision as of 22:27, 6 May 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.		'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by [[335edo\|335]], [[1489edo\|1489]], [[1824edo\|1824]], [[2159edo\|2159]], [[2494edo\|2494]], [[2829edo\|2829]], and [[3164edo\|3164]] EDOs.

	=Related regular temperaments=		=Related regular temperaments=
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	Map: [<1 0 2\|, <0 59 12\|]		Map: [<1 0 2\|, <0 59 12\|]

	EDOs: 37, 149, 186, 335, 484, 521		EDOs: {{EDOs\|37, 149, 186, 335, 484, 521}}

	===7-limit 149&186===		===7-limit 149&186===
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	Map: [<1 0 2 2\|, <0 59 12 30\|]		Map: [<1 0 2 2\|, <0 59 12 30\|]

	EDOs: 37, 149, 186, 335		EDOs: {{EDOs\|37, 149, 186, 335}}

	===7-limit 149d&186===		===7-limit 149d&186===
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	Map: [<1 0 2 7\|, <0 59 12 -156\|]		Map: [<1 0 2 7\|, <0 59 12 -156\|]

	EDOs: 149d, 186, 335d, 521, 707		EDOs: {{EDOs\|149d, 186, 335d, 521, 707}}

	===7-limit 149&186d===		===7-limit 149&186d===
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	Map: [<1 0 2 -2\|, <0 59 12 179\|]		Map: [<1 0 2 -2\|, <0 59 12 179\|]

	EDOs: 149, 186d, 335d, 484, 633		EDOs: {{EDOs\|149, 186d, 335d, 484, 633}}

	==335&2159 temperament==		==335&2159 temperament==
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	Map: [<1 0 -7\|, <0 59 347\|]		Map: [<1 0 -7\|, <0 59 347\|]

	EDOs: 335, 1489, 1824, 2159, 2494, 2829, 3164		EDOs: {{EDOs\|335, 1489, 1824, 2159, 2494, 2829, 3164}}

	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T20:01:51Z

Infobox ET added

← Older revision		Revision as of 20:01, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.		'''59EDT''' is the [[Edt\|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent\|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out \|413 -347 59> in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.

Xenllium: /* Related regular temperaments */

2019-02-27T03:37:08Z

Related regular temperaments

← Older revision		Revision as of 03:37, 27 February 2019
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	EDOs: 37, 149, 186, 335, 484, 521		EDOs: 37, 149, 186, 335, 484, 521

			===7-limit 149&186===
			Commas: 3136/3125, 49433168575/48922361856

			POTE generator: ~49/48 = 32.2368

			Map: [<1 0 2 2\|, <0 59 12 30\|]

			EDOs: 37, 149, 186, 335

			===7-limit 149d&186===
			Commas: 1280000000/1275989841, 8589934592/8544921875

			POTE generator: ~3125/3072 = 32.2456

			Map: [<1 0 2 7\|, <0 59 12 -156\|]

			EDOs: 149d, 186, 335d, 521, 707

			===7-limit 149&186d===
			Commas: 29360128/29296875, 1937102445/1927561216

			POTE generator: ~3125/3072 = 32.2308

			Map: [<1 0 2 -2\|, <0 59 12 179\|]

			EDOs: 149, 186d, 335d, 484, 633

	==335&2159 temperament==		==335&2159 temperament==

Xenllium: /* Related regular temperaments */

2019-02-27T01:43:53Z

Related regular temperaments

@@ Line 2: / Line 2: @@
 =Related regular temperaments=
 ==335&amp;2159 temperament==
 ===5-limit===

Xenllium: Created page with "'''59EDT''' is the equal division of the third harmonic into 59 parts of 32.2365 cents each, corresponding to 37.2249 edo. It is related to the regular te..."

2019-02-27T00:27:58Z

Created page with "'''59EDT''' is the equal division of the third harmonic into 59 parts of 32.2365 cents each, corresponding to 37.2249 edo. It is related to the regular te..."

New page

'''59EDT''' is the [[Edt|equal division of the third harmonic]] into 59 parts of 32.2365 [[cent|cents]] each, corresponding to 37.2249 [[edo]]. It is related to the regular temperament which tempers out |413 -347 59> in the 5-limit, which is supported by 335, 1489, 1824, 2159, 2494, 2829, and 3164 EDOs.

=Related regular temperaments=
==335&2159 temperament==
===5-limit===
Comma: |413 -347 59>

POTE generator: ~|-119 100 -17> = 32.2373

Map: [<1 0 -7|, <0 59 347|]

EDOs: 335, 1489, 1824, 2159, 2494, 2829, 3164

[[Category:Edt]]
[[Category:Edonoi]]