Keemun extensions - Revision history

FloraC at 13:04, 1 November 2026

2026-11-01T13:04:16Z

FloraC: Fill

2026-11-01T09:18:25Z

Fill

← Older revision		Revision as of 09:18, 1 November 2026
Line 26:		Line 26:
	\| 0		\| 0
	\| 0.0		\| 0.0
	\| 1/1		\| '''1/1'''
	\|		\|
	\|		\|
Line 110:		Line 110:
	\| 12		\| 12
	\| 202.0		\| 202.0
	\| 9/8		\| '''9/8'''
	\|		\|
	\|		\|
Line 117:		Line 117:
	\| 13		\| 13
	\| 518.8		\| 518.8
	\|		\| 27/20
	\| 15/11		\| 15/11
	\| 15/11		\| 15/11
Line 124:		Line 124:
	\| 14		\| 14
	\| 835.6		\| 835.6
	\|		\| 45/28
	\| '''13/8''', 18/11		\| '''13/8''', 18/11
	\| 18/11, 21/13		\| 18/11, 21/13
Line 138:		Line 138:
	\| 16		\| 16
	\| 269.3		\| 269.3
	\|		\| 75/64, 81/70
	\| 13/11		\| 13/11
	\| 15/13		\| 15/13

FloraC: Fixes

2026-11-01T09:15:56Z

Fixes

← Older revision		Revision as of 09:15, 1 November 2026
Line 34:		Line 34:
	\| 316.8		\| 316.8
	\| 6/5		\| 6/5
			\|
	\|		\|
	\| 13/11, '''16/13'''		\| 13/11, '''16/13'''
	\|
	\|-		\|-
	\| 2		\| 2
Line 55:		Line 55:
	\| 67.3		\| 67.3
	\| 21/20, 25/24, 36/35		\| 21/20, 25/24, 36/35
	\| 33/32,		\| 33/32
	\| 33/32,		\| 33/32
	\| 14/13, 33/32		\| 14/13, 33/32
	\|-		\|-
Line 97:		Line 97:
	\| 768.3		\| 768.3
	\| 25/16		\| 25/16
			\|
	\| 20/13		\| 20/13
	\|
	\|		\|
	\|-		\|-

FloraC: /* Tunings */

2026-11-01T09:13:39Z

Tunings

← Older revision		Revision as of 09:13, 1 November 2026
Line 184:		Line 184:

	=== Tuning spectra ===		=== Tuning spectra ===
	~~This tuning spectrum assumes undecimal~~ keemun.		==== Tridecimal keemun ====

	{\| class="wikitable center-all left-4"		{\| class="wikitable center-all left-4"
	\|-		\|-
	! Edo <br>generator		! Edo<br>generator
	! [[Eigenmonzo\|Eigenmonzo <br>(unchanged interval)]]*		! [[Eigenmonzo\|Eigenmonzo <br>(unchanged interval)]]*
	! Generator (¢)		! Generator (¢)
Line 196:		Line 195:
	\|		\|
	\| 300.000		\| 300.000
	\| ~~Lower~~ bound of 5- and 7-odd-limit diamond monotone		\| 4f val, lower bound of 5- and 7-odd-limit diamond monotone
	\|-		\|-
	\|		\|
Line 211:		Line 210:
	\|		\|
	\| 313.043		\| 313.043
	\| ~~23d~~ val		\| 23dff val
	\|-		\|-
	\|		\|
Line 221:		Line 220:
	\| 9/7		\| 9/7
	\| 315.009		\| 315.009
			\|
			\|-
			\|
			\| 13/7
			\| 315.609
	\|		\|
	\|-		\|-
Line 252:		Line 256:
	\| 317.115		\| 317.115
	\| 2/11-kleisma		\| 2/11-kleisma
			\|-
			\|
			\| 13/10
			\| 317.134
			\|
			\|-
			\|
			\| 13/8
			\| 317.181
			\|
	\|-		\|-
	\|		\|
Line 257:		Line 271:
	\| 317.263		\| 317.263
	\| 1/5-kleisma		\| 1/5-kleisma
			\|-
			\|
			\| 13/12
			\| 317.322
			\|
			\|-
			\|
			\| 15/13
			\| 317.420
			\|
	\|-		\|-
	\| [[34edo\|9\34]]		\| [[34edo\|9\34]]
Line 266:		Line 290:
	\| 11/9		\| 11/9
	\| 318.042		\| 318.042
	\| 11-odd-limit minimax		\| 11-, 13- and 15-odd-limit minimax
			\|-
			\|
			\| 13/10
			\| 318.076
			\|
	\|-		\|-
	\|		\|
Line 276:		Line 305:
	\| 11/10		\| 11/10
	\| 319.285		\| 319.285
			\|
			\|-
			\|
			\| 13/9
			\| 318.309
	\|		\|
	\|-		\|-
Line 281:		Line 315:
	\|		\|
	\| 318.367		\| 318.367
	\| ~~49d~~ val		\| 49df val
	\|-		\|-
	\|		\|
Line 311:		Line 345:
	\|		\|
	\| 327.273		\| 327.273
	\| ~~11b~~ val, upper bound of 5- and 7-odd-limit diamond monotone		\| 11bff val, upper bound of 5- and 7-odd-limit diamond monotone
	\|}		\|}
	<nowiki/>* Besides the octave		<nowiki/>* Besides the octave

FloraC at 09:01, 1 November 2026

2026-11-01T09:01:45Z

@@ Line 165: / Line 165: @@
 |}
 <nowiki>*</nowiki> In 7-limit CWE tuning, octave reduced
 [[Category:Keemun]]
 [[Category:Temperament extensions]]

FloraC: Created page with "{{Breadcrumb|Keemun}} Keemun has various competing extensions to the 11- and 13-limit. The following temperaments are discussed in this article: * '''Tridecimal keemun''' (15 & 19) – tempering out 49/48, 56/55, 91/90, 100/99; * '''Kimah''' (15f & 19) – tempering out 49/48, 56/55, 65/64, 100/99; * '''Kumbaya''' (15 & 19f) – tempering out 40/39, 49/48, 56/55, 66/65; * '''Qeema''' (15e & 19) – tempering out 45/44, 49/48, 78/77, 126/125;..."

2026-11-01T08:30:48Z

Created page with "{{Breadcrumb|Keemun}} Keemun has various competing extensions to the 11- and 13-limit. The following temperaments are discussed in this article: * '''Tridecimal keemun''' (15 & 19) – tempering out 49/48, 56/55, 91/90, 100/99; * '''Kimah''' (15f & 19) – tempering out 49/48, 56/55, 65/64, 100/99; * '''Kumbaya''' (15 & 19f) – tempering out 40/39, 49/48, 56/55, 66/65; * '''Qeema''' (15e & 19) – tempering out 45/44, 49/48, 78/77, 126/125;..."

New page

{{Breadcrumb|Keemun}}

[[Keemun]] has various competing [[extension]]s to the [[11-limit|11-]] and [[13-limit]]. The following temperaments are discussed in this article:
* '''Tridecimal keemun''' (15 & 19) – tempering out 49/48, 56/55, 91/90, 100/99;
* '''Kimah''' (15f & 19) – tempering out 49/48, 56/55, 65/64, 100/99;
* '''Kumbaya''' (15 & 19f) – tempering out 40/39, 49/48, 56/55, 66/65;
* '''Qeema''' (15e & 19) – tempering out 45/44, 49/48, 78/77, 126/125;
* '''Darjeeling''' (15 & 19e) – tempering out 49/48, 55/54, 66/65, 77/75.

See [[Kleismic family #Keemun]], [[Kleismic family #Kimah|#Kimah]], [[Kleismic family #Kumbaya|#Kumbaya]], [[Kleismic family #Qeema|#Qeema]], and [[Kleismic family #Darjeeling|#Darjeeling]] for technical data.

== Interval chain ==
{| class="wikitable center-1 right-2"
|-
! rowspan="3" | #
! colspan="5" | Approximate ratios
|-
! rowspan="2" | Cents*
! rowspan="2" | 7-limit
! colspan="3" | 13-limit extensions
|-
! Keemun <br>(15 & 19)
! Kimah <br>(4 & 19)
! Kumbaya <br>(4 & 15)
|-
| 0
| 0.0
| 1/1
|
|
|
|-
| 1
| 316.8
| 6/5
|
| 13/11, '''16/13'''
|
|-
| 2
| 633.7
| 10/7
| 13/9, '''16/11'''
| '''16/11'''
| '''16/11'''
|-
| 3
| 950.5
| '''7/4''', 12/7
| 26/15
| 22/13
|
|-
| 4
| 67.3
| 21/20, 25/24, 36/35
| 33/32,
| 33/32,
| 14/13, 33/32
|-
| 5
| 384.1
| '''5/4'''
| 14/11
| 14/11, '''16/13'''
| 14/11
|-
| 6
| 701.0
| '''3/2'''
|
|
| 20/13
|-
| 7
| 1017.8
| 9/5
| 20/11
| 20/11
| 20/11, 24/13
|-
| 8
| 134.6
| 15/14
| 12/11, 13/12
| 12/11, 14/13
| 12/11
|-
| 9
| 451.5
| 9/7, 21/16
| 13/10
|
|
|-
| 10
| 768.3
| 25/16
| 20/13
|
|
|-
| 11
| 1085.1
| 15/8
| 13/7
| 24/13
|
|-
| 12
| 202.0
| 9/8
|
|
| 15/13
|-
| 13
| 518.8
|
| 15/11
| 15/11
| 15/11, 18/13
|-
| 14
| 835.6
|
| '''13/8''', 18/11
| 18/11, 21/13
| 18/11
|-
| 15
| 1152.4
| 27/14
|
| 25/13
|
|-
| 16
| 269.3
|
| 13/11
| 15/13
|
|-
| 17
| 586.1
| 45/32
|
| 18/13
|
|-
| 18
| 902.9
| 27/16
|
|
|
|-
| 19
| 19.8
| 81/80
|
|
|
|}
<nowiki>*</nowiki> In 7-limit CWE tuning, octave reduced

[[Category:Keemun]]
[[Category:Temperament extensions]]