41edt - Revision history

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

2025-08-01T19:22:02Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:22, 1 August 2025
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	Badness: 0.0326		Badness: 0.0326

	~~[[Category:Edonoi]]~~
	{{todo\|expand}}		{{todo\|expand}}

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

2025-07-31T15:31:32Z

Removing from Category:Edt using Cat-a-lot

← Older revision		Revision as of 15:31, 31 July 2025
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	Badness: 0.0326		Badness: 0.0326

	~~[[Category:Edt]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]
	{{todo\|expand}}		{{todo\|expand}}

ArrowHead294 at 13:20, 21 January 2025

2025-01-21T13:20:49Z

← Older revision		Revision as of 13:20, 21 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (~~41edt) is related to [[26edo~~\|26 edo~~]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.~~1178~~ cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the 10-[[integer-limit]], with discrepancy for the 11th harmonic.		{{ED intro}}

			41edt is related to [[26edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.12 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the 10-[[integer-limit]], with discrepancy for the 11th harmonic.

	41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by {{EDOs\| 181, 207, 388, 569, and 595 }} EDOs.		41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by {{EDOs\| 181, 207, 388, 569, and 595 }} EDOs.

BudjarnLambeth: /* Harmonics */ Return to default number of columns: a lot of readers use the wiki on phones, be considerate of them please and don’t add too many columns to tables

2025-01-21T02:16:21Z

Harmonics: Return to default number of columns: a lot of readers use the wiki on phones, be considerate of them please and don’t add too many columns to tables

← Older revision		Revision as of 02:16, 21 January 2025
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	\| denom = 1		\| denom = 1
	\| intervals = prime		\| intervals = prime
	~~\| columns = 30~~
	}}		}}
	{{Harmonics in equal		{{Harmonics in equal
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	\| num = 3		\| num = 3
	\| denom = 1		\| denom = 1
	\| start = 31		\| start = 12
	\| collapsed = 1		\| collapsed = 1
	\| intervals = prime		\| intervals = prime
	~~\| columns = 30~~
	}}		}}

ArrowHead294: Formatting

2025-01-20T13:38:46Z

Formatting

Show changes

MisterShafXen: /* Harmonics */

2025-01-20T13:26:50Z

Harmonics

← Older revision		Revision as of 13:26, 20 January 2025
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	\| num = 3		\| num = 3
	\| denom = 1		\| denom = 1
	\| intervals = ~~integer~~		\| intervals = prime
			\| columns = 30
	}}		}}
	{{Harmonics in equal		{{Harmonics in equal
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	\| num = 3		\| num = 3
	\| denom = 1		\| denom = 1
	\| start = 12		\| start = 31
	\| collapsed = 1		\| collapsed = 1
	\| intervals = ~~integer~~		\| intervals = prime
			\| columns = 30
	}}		}}

BudjarnLambeth: Fix misleading link, {{todo|expand}}

2024-12-21T03:48:27Z

Fix misleading link, {{todo|expand}}

← Older revision		Revision as of 03:48, 21 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (41edt) is related to [[26edo\|26 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.1178 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the [[~~9-odd-limit\|10-~~integer-limit]], with discrepancy for the 11th harmonic.		'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (41edt) is related to [[26edo\|26 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.1178 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the 10-[[integer-limit]], with discrepancy for the 11th harmonic.

	41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by [[181edo\|181]], [[207edo\|207]], [[388edo\|388]], [[569edo\|569]], and [[595edo\|595]] EDOs.		41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by [[181edo\|181]], [[207edo\|207]], [[388edo\|388]], [[569edo\|569]], and [[595edo\|595]] EDOs.
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	[[Category:Edt]]		[[Category:Edt]]
	[[Category:Edonoi]]		[[Category:Edonoi]]
			{{todo\|expand}}

BudjarnLambeth: Add intervals and harmonics

2024-10-06T07:03:05Z

Add intervals and harmonics

← Older revision		Revision as of 07:03, 6 October 2024
Line 3:		Line 3:

	41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by [[181edo\|181]], [[207edo\|207]], [[388edo\|388]], [[569edo\|569]], and [[595edo\|595]] EDOs.		41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by [[181edo\|181]], [[207edo\|207]], [[388edo\|388]], [[569edo\|569]], and [[595edo\|595]] EDOs.

			== Intervals ==
			{{Interval table}}

			==Harmonics==
			{{Harmonics in equal
			\| steps = 41
			\| num = 3
			\| denom = 1
			\| intervals = integer
			}}
			{{Harmonics in equal
			\| steps = 41
			\| num = 3
			\| denom = 1
			\| start = 12
			\| collapsed = 1
			\| intervals = integer
			}}

	=Related regular temperaments=		=Related regular temperaments=

Francium at 07:55, 19 April 2023

2023-04-19T07:55:49Z

← Older revision		Revision as of 07:55, 19 April 2023
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	'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (41edt) is related to [[26edo\|26 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.1178 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the [[9-odd-limit\|10-integer-limit]], with discrepancy for the 11th harmonic.		'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (41edt) is related to [[26edo\|26 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.1178 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the [[9-odd-limit\|10-integer-limit]], with discrepancy for the 11th harmonic.

	41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by [[181edo\|181]], [[207edo\|207]], [[388edo\|388]], 569, and 595 EDOs.		41edt is related to the regular temperament which tempers out 823543/820125 and 2199023255552/2197176384375 in the 7-limit, which is supported by [[181edo\|181]], [[207edo\|207]], [[388edo\|388]], [[569edo\|569]], and [[595edo\|595]] EDOs.

	=Related regular temperaments=		=Related regular temperaments=
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	Mapping: [<1 0 7\|, <0 41 -121\|]		Mapping: [<1 0 7\|, <0 41 -121\|]

	EDOs: 181, 207, 388, 569, 595, 957, 1345		EDOs: {{EDOs\|181, 207, 388, 569, 595, 957, 1345}}

	Badness: 17.5651		Badness: 17.5651
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	Mapping: [<1 0 7 3\|, <0 41 -121 -5\|]		Mapping: [<1 0 7 3\|, <0 41 -121 -5\|]

	EDOs: 181, 207, 388, 569, 595		EDOs: {{EDOs\|181, 207, 388, 569, 595}}

	Badness: 0.6461		Badness: 0.6461
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	Mapping: [<1 0 7 3 4\|, <0 41 -121 -5 -14\|]		Mapping: [<1 0 7 3 4\|, <0 41 -121 -5 -14\|]

	EDOs: 181, 207, 388, 569, 595		EDOs: {{EDOs\|181, 207, 388, 569, 595}}

	Badness: 0.1362		Badness: 0.1362
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	Mapping: [<1 0 7 3 4 2\|, <0 41 -121 -5 -14 44\|]		Mapping: [<1 0 7 3 4 2\|, <0 41 -121 -5 -14 44\|]

	EDOs: 181, 207, 388, 569, 595		EDOs: {{EDOs\|181, 207, 388, 569, 595}}

	Badness: 0.0707		Badness: 0.0707
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	Mapping: [<1 0 7 3 4 2 2\|, <0 41 -121 -5 -14 44 54\|]		Mapping: [<1 0 7 3 4 2 2\|, <0 41 -121 -5 -14 44 54\|]

	EDOs: 181, 207, 388, 569, 595		EDOs: {{EDOs\|181, 207, 388, 569, 595}}

	Badness: 0.0411		Badness: 0.0411
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	Mapping: [<2 0 -1\|, <0 41 73\|]		Mapping: [<2 0 -1\|, <0 41 73\|]

	EDOs: 26, 388, 414, 802, 1190, 1578, 1966, 2354		EDOs: {{EDOs\|26, 388, 414, 802, 1190, 1578, 1966, 2354}}

	Badness: 3.9285		Badness: 3.9285
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	Mapping: [<2 0 -1 6\|, <0 41 73 -5\|]		Mapping: [<2 0 -1 6\|, <0 41 73 -5\|]

	EDOs: 26, 362, 388, 414, 802		EDOs: {{EDOs\|26, 362, 388, 414, 802}}

	Badness: 0.4543		Badness: 0.4543
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	Mapping: [<2 0 -1 6 8\|, <0 41 73 -5 -14\|]		Mapping: [<2 0 -1 6 8\|, <0 41 73 -5 -14\|]

	EDOs: 26, 362, 388, 414, 802		EDOs: {{EDOs\|26, 362, 388, 414, 802}}

	Badness: 0.1020		Badness: 0.1020
Line 102:		Line 102:
	Mapping: [<2 0 -1 6 8 4\|, <0 41 73 -5 -14 44\|]		Mapping: [<2 0 -1 6 8 4\|, <0 41 73 -5 -14 44\|]

	EDOs: 26, 362, 388, 414, 802		EDOs: {{EDOs\|26, 362, 388, 414, 802}}

	Badness: 0.0595		Badness: 0.0595
Line 113:		Line 113:
	Mapping: [<2 0 -1 6 8 4 4\|, <0 41 73 -5 -14 44 54\|]		Mapping: [<2 0 -1 6 8 4 4\|, <0 41 73 -5 -14 44 54\|]

	EDOs: 26, 362, 388, 414, 802		EDOs: {{EDOs\|26, 362, 388, 414, 802}}

	Badness: 0.0326		Badness: 0.0326

Plumtree: Infobox ET added

2022-10-05T19:56:44Z

Infobox ET added

← Older revision		Revision as of 19:56, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (41edt) is related to [[26edo\|26 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.1178 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the [[9-odd-limit\|10-integer-limit]], with discrepancy for the 11th harmonic.		'''[[Edt\|Division of the third harmonic]] into 41 equal parts''' (41edt) is related to [[26edo\|26 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 6.1178 cents stretched and the step size is about 46.3891 cents. Unlike 26edo, it is only consistent up to the [[9-odd-limit\|10-integer-limit]], with discrepancy for the 11th harmonic.