Quartkeenlig - Revision history

FloraC: - parent category

2025-04-28T14:35:43Z

- parent category

← Older revision		Revision as of 14:35, 28 April 2025
Line 15:		Line 15:
	Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps		Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps

	[[Category:~~Temperaments~~]]		[[Category:Quartkeenlig\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Kleismic family]]		[[Category:Kleismic family]]
	~~[[Category:Quartismic]]~~

Lériendil at 23:40, 19 April 2025

2025-04-19T23:40:06Z

← Older revision		Revision as of 23:40, 19 April 2025
Line 2:		Line 2:

	For technical data see: [[Kleismic family#Quartkeenlig]]		For technical data see: [[Kleismic family#Quartkeenlig]]
	==Theory==
			== Theory ==
	EDOs which support quartkeenlig: {{EDOs\|68, 91, 159}}.		EDOs which support quartkeenlig: {{EDOs\|68, 91, 159}}.
	The simplest mos of quartkeenlig is [[22L 1s]].		The simplest mos of quartkeenlig is [[22L 1s]].

	The fifth in the standard sense constitutes 13 steps, and it is close to the [[7edo]] fifth. In 91edo, it is exactly the 7edo fifth. However it should be noted that from a regular temperament theory perspective it is not mapped to [[3/2]]. In order to reach just 3/2, one would need to stack 36 generators.		The fifth in the standard sense constitutes 13 steps, and it is close to the [[7edo]] fifth. In 91edo, it is exactly the 7edo fifth. However it should be noted that from a regular temperament theory perspective it is not mapped to [[3/2]]. In order to reach just 3/2, one would need to stack 36 generators.

	=== Relationship to 23edo and octave stretching ===		=== Relationship to 23edo and octave stretching ===

Line 12:		Line 14:

	Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps		Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps



	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]
	[[Category:Kleismic family]]		[[Category:Kleismic family]]
	[[Category:Quartismic]]		[[Category:Quartismic]]

Eliora: /* Theory */

2023-03-20T01:06:12Z

Theory

← Older revision		Revision as of 01:06, 20 March 2023
Line 11:		Line 11:
	If 23 steps of pure [[TE tuning]] quartkeenlig in the 11-limit are considered without octave equivalence, the resulting scale would have an octave of 1215.62 cents, which is almost exactly the octave recommended for harmonic [[23edo and octave stretching\|stretching of 23edo]].		If 23 steps of pure [[TE tuning]] quartkeenlig in the 11-limit are considered without octave equivalence, the resulting scale would have an octave of 1215.62 cents, which is almost exactly the octave recommended for harmonic [[23edo and octave stretching\|stretching of 23edo]].

	Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless, as [[4/3]] occurs nearly halfway between the 9th and 10th steps.		Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps

Eliora: new page, created after a discussion

2022-12-18T19:21:45Z

new page, created after a discussion

@@ Line 1: / Line 1: @@
-#REDIRECT [[Kleismic family #Quartkeenlig]]
+Quartkeenlig is a rank-2 temperament with a generator of about 53 cents, which stands for 33/32 and 36/35 tempered together.
 [[Category:Temperaments]]
 [[Category:Kleismic family]]

FloraC: Changed redirect target from The Quartercache#Quartkeenlig to Kleismic family#Quartkeenlig

2022-09-12T15:06:18Z

Changed redirect target from The Quartercache#Quartkeenlig to Kleismic family#Quartkeenlig

← Older revision		Revision as of 15:06, 12 September 2022
Line 1:		Line 1:
	#REDIRECT [[~~The Quartercache~~#Quartkeenlig]]		#REDIRECT [[Kleismic family #Quartkeenlig]]

			[[Category:Temperaments]]
			[[Category:Kleismic family]]

Eliora: Redirected page to The Quartercache#Quartkeenlig

2022-09-09T19:33:11Z

Redirected page to The Quartercache#Quartkeenlig

New page

#REDIRECT [[The Quartercache#Quartkeenlig]]