32edf - Revision history

FloraC: Cleanup

2025-01-17T17:08:59Z

Cleanup

← Older revision		Revision as of 17:08, 17 January 2025
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]).~~		{{ED intro}}

	It is related to the [[regular temperament]] which [[tempers out]] \|127 -127 32~~>~~ in the [[5-limit]], which is supported by {{EDOs\|164, 383, 547, 711, 875, and ~~1258~~}} ~~EDOs~~.		== Theory ==
			32edf corresponds to 54.7044[[edo]], similar to every seventh step of [[383edo]]. It is related to the [[regular temperament]] which [[tempering out\|tempers out]] {{monzo\| 127 -127 32 }} in the [[5-limit]], which is supported by {{EDOs\| 164-, 383-, 547-, 711-, 875-, and 1258edo }}.

	Lookalikes: [[55edo]], [[87edt]]		Lookalikes: [[55edo]], [[87edt]]

	==Harmonics==		=== Harmonics ===
	{{Harmonics in equal\|32\|3\|2}}		{{Harmonics in equal\|32\|3\|2}}
	{{Harmonics in equal\|32\|3\|2\|start=12\|collapsed=1}}		{{Harmonics in equal\|32\|3\|2\|start=12\|collapsed=1}}

	==Intervals==		== Intervals ==
	{\| class="wikitable mw-collapsible"		{\| class="wikitable mw-collapsible"
	\|+ Intervals of 32edf		\|+ Intervals of 32edf
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	\|}		\|}

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

BudjarnLambeth: Todo, harmonics, other tinkering

2024-12-18T07:52:23Z

Todo, harmonics, other tinkering

← Older revision		Revision as of 07:52, 18 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out \|127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs.		'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]).

			It is related to the [[regular temperament]] which [[tempers out]] \|127 -127 32> in the [[5-limit]], which is supported by {{EDOs\|164, 383, 547, 711, 875, and 1258}} EDOs.

	Lookalikes: [[55edo]], [[87edt]]		Lookalikes: [[55edo]], [[87edt]]

			==Harmonics==
			{{Harmonics in equal\|32\|3\|2}}
			{{Harmonics in equal\|32\|3\|2\|start=12\|collapsed=1}}

	==Intervals==		==Intervals==
	{\| class="wikitable"		{\| class="wikitable mw-collapsible"
			\|+ Intervals of 32edf
	\|-		\|-
	! \| degree		! \| degree
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	\|}		\|}

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

Plumtree: Infobox ET added

2022-10-05T18:41:52Z

Infobox ET added

← Older revision		Revision as of 18:41, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out \|127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs.		'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out \|127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs.

Moremajorthanmajor at 22:39, 19 August 2019

2019-08-19T22:39:45Z

← Older revision		Revision as of 22:39, 19 August 2019
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	! \| comments		! \| comments
	\|-		\|-
	\| ~~\| 0~~		\| colspan="2"\| 0
	\| \| 0
	\| \| '''exact [[1/1]]'''		\| \| '''exact [[1/1]]'''
	\| \|		\| \|

Moremajorthanmajor at 20:54, 9 March 2019

2019-03-09T20:54:01Z

Show changes

Xenllium at 12:16, 9 February 2019

2019-02-09T12:16:19Z

← Older revision		Revision as of 12:16, 9 February 2019
Line 1:		Line 1:
	'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]).		'''32EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent\|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]). It is related to the regular temperament which tempers out \|127 -127 32> in the 5-limit, which is supported by 164, 383, 547, 711, 875, and 1258 EDOs.

	Lookalikes: [[55edo]], [[87edt]]		Lookalikes: [[55edo]], [[87edt]]

Xenllium: /* Intervals */

2019-02-08T01:42:54Z

Intervals

← Older revision		Revision as of 01:42, 8 February 2019
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	\| \| 6		\| \| 6
	\| \| 131.6166		\| \| 131.6166
	\| \|		\| \| 41/38
	\| \|		\| \|
	\|-		\|-
	\| \| 7		\| \| 7
	\| \| 153.5527		\| \| 153.5527
	\| \|		\| \| 59/54
	\| \|		\| \|
	\|-		\|-
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	\| \| 9		\| \| 9
	\| \| 197.4248		\| \| 197.4248
	\| \|		\| \| 65/58
	\| \|		\| \|
	\|-		\|-
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	\| \| 11		\| \| 11
	\| \| 241.2970		\| \| 241.2970
	\| \|		\| \| (23/20)
	\| \|		\| \|
	\|-		\|-
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	\| \| 14		\| \| 14
	\| \| 307.1053		\| \| 307.1053
	\| \|		\| \| 117/98
	\| \|		\| \|
	\|-		\|-
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	\| \| 17		\| \| 17
	\| \| 372.9136		\| \| 372.9136
	\| \|		\| \| 129/104
	\| \|		\| \|
	\|-		\|-
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	\| \| 20		\| \| 20
	\| \| 438.7219		\| \| 438.7219
	\| \| ~~([[9/7]])~~		\| \|
	\| \|		\| \|
	\|-		\|-
	\| \| 21		\| \| 21
	\| \| 460.6580		\| \| 460.6580
	\| \|		\| \| (30/23)
	\| \|		\| \|
	\|-		\|-
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	\| \| 23		\| \| 23
	\| \| 504.5302		\| \| 504.5302
	\| \|		\| \| 87/65
	\| \|		\| \|
	\|-		\|-
	\| \| 24		\| \| 24
	\| \| 526.4663		\| \| 526.4663
	\| \|		\| \| 61/45
	\| \|		\| \|
	\|-		\|-
	\| \| 25		\| \| 25
	\| \| 548.4023		\| \| 548.4023
	\| \|		\| \| 81/59
	\| \|		\| \|
	\|-		\|-
	\| \| 26		\| \| 26
	\| \| 570.3384		\| \| 570.3384
	\| \|		\| \| 57/41
	\| \|		\| \|
	\|-		\|-
	\| \| 27		\| \| 27
	\| \| 592.2745		\| \| 592.2745
	\| \|		\| \| 69/49
	\| \|		\| \|
	\|-		\|-
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	\| \| 29		\| \| 29
	\| \| 636.1467		\| \| 636.1467
	\| \|		\| \| 39/27
	\| \|		\| \|
	\|-		\|-

Xenllium: Created page with "'''32EDF''' is the equal division of the just perfect fifth into 32 parts of 21.9361 cents each, corresponding to 54.7044 edo (similar to every seventh st..."

2019-02-08T00:27:23Z

Created page with "'''32EDF''' is the equal division of the just perfect fifth into 32 parts of 21.9361 cents each, corresponding to 54.7044 edo (similar to every seventh st..."

New page

'''32EDF''' is the [[EDF|equal division of the just perfect fifth]] into 32 parts of 21.9361 [[cent|cents]] each, corresponding to 54.7044 [[edo]] (similar to every seventh step of [[383edo]]).

Lookalikes: [[55edo]], [[87edt]]

==Intervals==
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 21.9361
| | [[81/80]]
| |
|-
| | 2
| | 43.8722
| | 40/39
| |
|-
| | 3
| | 65.8083
| | [[27/26]]
| |
|-
| | 4
| | 87.7444
| |
| |
|-
| | 5
| | 109.6805
| | 49/46
| |
|-
| | 6
| | 131.6166
| |
| |
|-
| | 7
| | 153.5527
| |
| |
|-
| | 8
| | 175.4888
| |
| |
|-
| | 9
| | 197.4248
| |
| |
|-
| | 10
| | 219.3609
| | 42/37
| |
|-
| | 11
| | 241.2970
| |
| |
|-
| | 12
| | 263.2331
| |
| |
|-
| | 13
| | 285.1692
| |
| |
|-
| | 14
| | 307.1053
| |
| |
|-
| | 15
| | 329.0414
| | 52/43
| |
|-
| | 16
| | 350.9775
| | 60/49, 49/40
| |
|-
| | 17
| | 372.9136
| |
| |
|-
| | 18
| | 394.8497
| | 49/39
| |
|-
| | 19
| | 416.7858
| |
| |
|-
| | 20
| | 438.7219
| | ([[9/7]])
| |
|-
| | 21
| | 460.6580
| |
| |
|-
| | 22
| | 482.5941
| | 37/28
| |
|-
| | 23
| | 504.5302
| |
| |
|-
| | 24
| | 526.4663
| |
| |
|-
| | 25
| | 548.4023
| |
| |
|-
| | 26
| | 570.3384
| |
| |
|-
| | 27
| | 592.2745
| |
| |
|-
| | 28
| | 614.2106
| |
| |
|-
| | 29
| | 636.1467
| |
| |
|-
| | 30
| | 658.0828
| | 117/80
| |
|-
| | 31
| | 680.0189
| | [[40/27]]
| |
|-
| | 32
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|}

[[Category:Edf]]
[[Category:Edonoi]]