27-odd-limit - Revision history

Eufalesio: Proposing separating the lines before the table to be separated in paragraphs, and adding the smallest one that comes closest to consistency

2025-10-08T13:57:01Z

Proposing separating the lines before the table to be separated in paragraphs, and adding the smallest one that comes closest to consistency

← Older revision		Revision as of 13:57, 8 October 2025
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	\| septimal supermajor seventh		\| septimal supermajor seventh
	\|}		\|}
	The smallest [[equal division of the octave]] ~~which is~~ [[consistent]] in the 27-odd-limit is [[~~282edo~~]] (~~by virtue of it being consistent through the 29-odd limit); that which is distinctly consistent in the same is~~ [[~~388edo~~]].		The smallest [[equal division of the octave]] that comes closest to being [[consistent]] in the 27-odd-limit is [[217edo]] (misses [[23/14]], [[23/21]], [[28/23]], [[42/23]]).

			The one which is truly consistent is [[282edo]] (by virtue of it being consistent through the 29-odd-limit)

			The one which is distinctly consistent in the same is [[388edo]].
	[[Category:27-odd-limit\| ]] <!-- main article -->		[[Category:27-odd-limit\| ]] <!-- main article -->

FloraC at 15:21, 23 September 2025

2025-09-23T15:21:28Z

← Older revision		Revision as of 15:21, 23 September 2025
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	{{~~odd~~-limit navigation}}		{{Odd-limit navigation\|27}}
	{{~~odd~~-limit intro\|27}}		{{Odd-limit intro\|27}}

	* [[1/1]]		* [[1/1]]
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	\|}		\|}
	The smallest [[equal division of the octave]] which is [[consistent]] in the 27-odd-limit is [[282edo]] (by virtue of it being consistent through the 29-odd limit); that which is distinctly consistent in the same is [[388edo]].		The smallest [[equal division of the octave]] which is [[consistent]] in the 27-odd-limit is [[282edo]] (by virtue of it being consistent through the 29-odd limit); that which is distinctly consistent in the same is [[388edo]].
	[[Category:27-odd-limit]]
			[[Category:27-odd-limit\| ]] <!-- main article -->

Iwuqety at 14:23, 17 November 2023

2023-11-17T14:23:06Z

← Older revision		Revision as of 14:23, 17 November 2023
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	\| septimal supermajor seventh		\| septimal supermajor seventh
	\|}		\|}
	The smallest [[equal division of the octave]] which is [[consistent]] ~~through to~~ the 27-odd-limit is [[282edo]] (by virtue of it being consistent ~~up until~~ the 29-odd limit); that which is distinctly consistent ~~through to~~ the same is [[388edo]].		The smallest [[equal division of the octave]] which is [[consistent]] in the 27-odd-limit is [[282edo]] (by virtue of it being consistent through the 29-odd limit); that which is distinctly consistent in the same is [[388edo]].
	[[Category:27-odd-limit]]		[[Category:27-odd-limit]]

Iwuqety at 13:46, 17 November 2023

2023-11-17T13:46:29Z

← Older revision		Revision as of 13:46, 17 November 2023
Line 195:		Line 195:
	\| septimal supermajor seventh		\| septimal supermajor seventh
	\|}		\|}
	The smallest [[equal division of the octave]] which is [[consistent]] in the 27-odd-limit is [[282edo]] (by virtue of it being consistent up until the 29-odd limit); that which is distinctly consistent in the same is [[388edo]].		The smallest [[equal division of the octave]] which is [[consistent]] through to the 27-odd-limit is [[282edo]] (by virtue of it being consistent up until the 29-odd limit); that which is distinctly consistent through to the same is [[388edo]].
	[[Category:27-odd-limit]]		[[Category:27-odd-limit]]

Iwuqety: Added final line stating smallest (distinctly) consistent edos

2023-11-17T13:40:33Z

Added final line stating smallest (distinctly) consistent edos

← Older revision		Revision as of 13:40, 17 November 2023
Line 195:		Line 195:
	\| septimal supermajor seventh		\| septimal supermajor seventh
	\|}		\|}
			The smallest [[equal division of the octave]] which is [[consistent]] in the 27-odd-limit is [[282edo]] (by virtue of it being consistent up until the 29-odd limit); that which is distinctly consistent in the same is [[388edo]].
	[[Category:27-odd-limit]]		[[Category:27-odd-limit]]

Fredg999: Add intro, categories

2023-09-13T15:50:39Z

Add intro, categories

← Older revision		Revision as of 15:50, 13 September 2023
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	{{odd-limit navigation}}		{{odd-limit navigation}}
	~~This is a list of '''27-[[odd-limit]]''' intervals. To [[25-~~odd-limit~~]], it adds 9 interval pairs involving~~ 27.		{{odd-limit intro\|27}}

	* [[1/1]]		* [[1/1]]
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	[[Category:27-odd-limit]]		[[Category:27-odd-limit]]
	~~[[Category:Odd limit]]~~

Xenllium at 07:43, 1 July 2023

2023-07-01T07:43:38Z

← Older revision		Revision as of 07:43, 1 July 2023
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	\|}		\|}

			[[Category:27-odd-limit]]
	[[Category:Odd limit]]		[[Category:Odd limit]]

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

2022-03-23T18:28:02Z

Removing from Category:Just interval using Cat-a-lot

← Older revision		Revision as of 18:28, 23 March 2022
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	\|}		\|}

	~~[[Category:Just interval]]~~
	[[Category:Odd limit]]		[[Category:Odd limit]]

Xenllium: Created page with "{{odd-limit navigation}} This is a list of '''27-odd-limit''' intervals. To 25-odd-limit, it adds 9 interval pairs involving 27. * 1/1 * '''28/27, 27/14''..."

2021-10-17T13:15:39Z

Created page with "{{odd-limit navigation}} This is a list of '''27-odd-limit''' intervals. To 25-odd-limit, it adds 9 interval pairs involving 27. * 1/1 * '''28/27, 27/14''..."

New page

{{odd-limit navigation}}
This is a list of '''27-[[odd-limit]]''' intervals. To [[25-odd-limit]], it adds 9 interval pairs involving 27.

* [[1/1]]
* '''[[28/27]], [[27/14]]'''
* '''[[27/26]], [[52/27]]'''
* [[26/25]], [[25/13]]
* [[25/24]], [[48/25]]
* [[24/23]], [[23/12]]
* [[23/22]], [[44/23]]
* [[22/21]], [[21/11]]
* [[21/20]], [[40/21]]
* [[20/19]], [[19/10]]
* [[19/18]], [[36/19]]
* [[18/17]], [[17/9]]
* [[17/16]], [[32/17]]
* [[16/15]], [[15/8]]
* [[15/14]], [[28/15]]
* [[14/13]], [[13/7]]
* '''[[27/25]], [[50/27]]'''
* [[13/12]], [[24/13]]
* [[25/23]], [[46/25]]
* [[12/11]], [[11/6]]
* [[23/21]], [[42/23]]
* [[11/10]], [[20/11]]
* [[21/19]], [[38/21]]
* [[10/9]], [[9/5]]
* [[19/17]], [[34/19]]
* [[28/25]], [[25/14]]
* [[9/8]], [[16/9]]
* [[26/23]], [[23/13]]
* [[17/15]], [[30/17]]
* [[25/22]], [[44/25]]
* [[8/7]], [[7/4]]
* [[23/20]], [[40/23]]
* [[15/13]], [[26/15]]
* [[22/19]], [[19/11]]
* [[7/6]], [[12/7]]
* '''[[27/23]], [[46/27]]'''
* [[20/17]], [[17/10]]
* [[13/11]], [[22/13]]
* '''[[32/27]], [[27/16]]'''
* [[19/16]], [[32/19]]
* [[25/21]], [[42/25]]
* [[6/5]], [[5/3]]
* [[23/19]], [[38/23]]
* [[17/14]], [[28/17]]
* [[28/23]], [[23/14]]
* [[11/9]], [[18/11]]
* '''[[27/22]], [[44/27]]'''
* [[16/13]], [[13/8]]
* [[21/17]], [[34/21]]
* [[26/21]], [[21/13]]
* [[5/4]], [[8/5]]
* '''[[34/27]], [[27/17]]'''
* [[24/19]], [[19/12]]
* [[19/15]], [[30/19]]
* [[14/11]], [[11/7]]
* [[23/18]], [[36/23]]
* [[32/25]], [[25/16]]
* [[9/7]], [[14/9]]
* [[22/17]], [[17/11]]
* [[13/10]], [[20/13]]
* [[30/23]], [[23/15]]
* [[17/13]], [[26/17]]
* [[21/16]], [[32/21]]
* [[25/19]], [[38/25]]
* [[4/3]], [[3/2]]
* '''[[27/20]], [[40/27]]'''
* [[23/17]], [[34/23]]
* [[19/14]], [[28/19]]
* [[34/25]], [[25/17]]
* [[15/11]], [[22/15]]
* [[26/19]], [[19/13]]
* [[11/8]], [[16/11]]
* [[18/13]], [[13/9]]
* [[25/18]], [[36/25]]
* [[32/23]], [[23/16]]
* [[7/5]], [[10/7]]
* '''[[38/27]], [[27/19]]'''
* [[24/17]], [[17/12]]

{| class="wikitable center-all right-2 left-5"
! Ratio
! Size ([[cents|¢]])
! colspan="2" | [[Color name]]
! Name
|-
| [[28/27]]
| 62.961
| z2
| zo 2nd
| septimal third-tone
|-
| [[27/26]]
| 65.337
| 3u1
| thu unison
| lesser tridecimal chroma small tridecimal third-tone
|-
| [[27/25]]
| 133.238
| gg2
| gugu 2nd
| large limma acute semitone
|-
| [[27/23]]
| 277.591
| 23u2
| twethu 2nd
| vicesimotertial augmented second
|-
| [[32/27]]
| 294.135
| w3
| wa 3rd
| Pythagorean minor third
|-
| [[27/22]]
| 354.547
| 1u3
| lu 3rd
| rastmic neutral third
|-
| [[34/27]]
| 399.090
| 17o4
| iso 4th
| septendecimal major third quasi-tempered major third
|-
| [[27/20]]
| 519.551
| g4
| gu 4th
| acute fourth wolf fourth
|-
| [[38/27]]
| 591.648
| 19o5
| ino 5th
| undevicesimal narrow tritone
|-
| [[27/19]]
| 608.352
| 19u4
| inu 4th
| undevicesimal high tritone
|-
| [[40/27]]
| 680.449
| y5
| yo 5th
| grave fifth wolf fifth
|-
| [[27/17]]
| 800.910
| 17u5
| su 5th
| septendecimal minor sixth quasi-tempered minor sixth
|-
| [[44/27]]
| 845.453
| 1o6
| ilo 6th
| rastmic neutral sixth
|-
| [[27/16]]
| 905.865
| w6
| wa 6th
| Pythagorean major sixth
|-
| [[46/27]]
| 922.409
| 23o7
| twetho 7th
| vicesimotertial diminished seventh
|-
| [[50/27]]
| 1066.762
| yy7
| yoyo 7th
| grave major seventh
|-
| [[52/27]]
| 1134.663
| 3o8
| tho octave
| greater tridecimal diminished octave
|-
| [[27/14]]
| 1137.039
| r7
| ru 7th
| septimal supermajor seventh
|}

[[Category:Just interval]]
[[Category:Odd limit]]