12edf - Revision history

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

2025-08-01T19:20:37Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edonoi]]~~

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

2025-08-01T19:00:08Z

Removing from Category:Edf using Cat-a-lot

← Older revision		Revision as of 19:00, 1 August 2025
Line 142:		Line 142:

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

BudjarnLambeth: add todo:expand, add harmonics

2024-12-21T03:34:22Z

add todo:expand, add harmonics

← Older revision		Revision as of 03:34, 21 December 2024
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	It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|microdiatonic]] scale that corresponds to 12edo's [[5L 2s\|diatonic scale]] with [[2/1]] compressed to [[3/2]].		It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|microdiatonic]] scale that corresponds to 12edo's [[5L 2s\|diatonic scale]] with [[2/1]] compressed to [[3/2]].

			==Harmonics==
			{{Harmonics in equal\|12\|3\|2}}
			{{Harmonics in equal\|12\|3\|2\|start=12\|collapsed=1}}

	==Intervals==		==Intervals==
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	\|		\|
	\|}		\|}

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

CompactStar at 07:39, 19 May 2024

2024-05-19T07:39:37Z

← Older revision		Revision as of 07:39, 19 May 2024
Line 2:		Line 2:
	'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.		'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.

	It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|~~mairodiatonic~~]] scale that corresponds to 12edo's [[5L 2s\|diatonic scale]] with [[2/1]] compressed to [[3/2]].		It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|microdiatonic]] scale that corresponds to 12edo's [[5L 2s\|diatonic scale]] with [[2/1]] compressed to [[3/2]].

CompactStar at 07:39, 19 May 2024

2024-05-19T07:39:28Z

← Older revision		Revision as of 07:39, 19 May 2024
Line 2:		Line 2:
	'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.		'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.

	It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|~~macrodiatonic~~]] scale that corresponds to 12edo's diatonic scale ~~where~~ [[2/1]] is compressed to [[3/2]].		It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|mairodiatonic]] scale that corresponds to 12edo's [[5L 2s\|diatonic scale]] with [[2/1]] compressed to [[3/2]].

CompactStar at 07:39, 19 May 2024

2024-05-19T07:39:13Z

← Older revision		Revision as of 07:39, 19 May 2024
Line 2:		Line 2:
	'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.		'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.

	It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2.		It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2. It contains the [[macrodiatonic and microdiatonic scales\|macrodiatonic]] scale that corresponds to 12edo's diatonic scale where [[2/1]] is compressed to [[3/2]].

CompactStar at 07:36, 19 May 2024

2024-05-19T07:36:26Z

← Older revision		Revision as of 07:36, 19 May 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.		'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.

			It is a strong [[half-prime subgroup\|3/2.5/2.7/2 subgroup]] system, a fact first noted by [[User:CompactStar\|CompactStar]], tempering out the commas [[10976/10935]] and [[3125/3087]], although the representation of [[11/2]] is more questionable. [[24edf]] (effectively 41edo) provides a correction for 11/2.


	==Intervals==		==Intervals==

ArrowHead294 at 18:50, 11 April 2024

2024-04-11T18:50:20Z

← Older revision		Revision as of 18:50, 11 April 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.		'''12EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 12 parts of 58.49625 [[cent\|cents]] each, corresponding to 20.5141 [[edo]] (similar to every second step of [[41edo]]). It is an intersection of [[3edf]]~[[5edo]] and [[4edf]]~[[7edo]] relations, and could pass as both [[20edo]] and [[21edo]], with both relations nearly breaking down by this point. It is related to the [[Tetracot family#Dodecacot\|dodecacot temperament]], which tempers out 3087/3125 and 10976/10935 in the 7-limit.

	==Intervals==		==Intervals==

CompactStar at 04:12, 29 December 2023

2023-12-29T04:12:15Z

← Older revision		Revision as of 04:12, 29 December 2023
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	\| \| 1		\| \| 1
	\| \| 58.49625		\| \| 58.49625
	\| \| 91/88, 88/85		\| \| [[28/27]], 91/88, 88/85
	\| \|		\| \|
	\|-		\|-
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	\| \| 3		\| \| 3
	\| \| 175.48875		\| \| 175.48875
	\| \| [[21/19]]		\| \| [[10/9]], [[21/19]]
	\| \|		\| \|
	\|-		\|-
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	\| \| 7		\| \| 7
	\| \| 409.47375		\| \| 409.47375
	\| \| [[19/15]]		\| \| [[19/15]], [[63/50]]
	\| \|		\| \|
	\|-		\|-
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	\| \| 11		\| \| 11
	\| \| 643.4588		\| \| 643.4588
	\| \|13/9		\| \| [[13/9]]
	\| \|		\| \|
	\|-		\|-

FloraC: This scale tree is totally irrelevant to this page and the temperaments are all wrong

2023-09-01T15:20:01Z

This scale tree is totally irrelevant to this page and the temperaments are all wrong

Show changes

← Older revision		Revision as of 04:12, 29 December 2023
Line 16:		Line 16:
	\| \| 1		\| \| 1
	\| \| 58.49625		\| \| 58.49625
	\| \| 91/88, 88/85		\| \| [[28/27]], 91/88, 88/85
	\| \|		\| \|
	\|-		\|-
Line 26:		Line 26:
	\| \| 3		\| \| 3
	\| \| 175.48875		\| \| 175.48875
	\| \| [[21/19]]		\| \| [[10/9]], [[21/19]]
	\| \|		\| \|
	\|-		\|-
Line 46:		Line 46:
	\| \| 7		\| \| 7
	\| \| 409.47375		\| \| 409.47375
	\| \| [[19/15]]		\| \| [[19/15]], [[63/50]]
	\| \|		\| \|
	\|-		\|-
Line 66:		Line 66:
	\| \| 11		\| \| 11
	\| \| 643.4588		\| \| 643.4588
	\| \|13/9		\| \| [[13/9]]
	\| \|		\| \|
	\|-		\|-