Keemun: Difference between revisions
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'''Keemun''' is an extension of the hanson temperament, which tempers out 49/48, 56/55, and 100/99 in the 11-limit. EDOs that support keemun include [[15edo]], [[19edo]], and [[34edo]]. | '''Keemun''' is an extension of the hanson temperament, which tempers out 49/48, 56/55, and 100/99 in the 11-limit. EDOs that support keemun include [[15edo]], [[19edo]], and [[34edo]]. | ||
See [[ | See [[Kleismic family #Keemun]] for technical data. | ||
== Interval chain == | == Interval chain == | ||
| Line 7: | Line 7: | ||
|- | |- | ||
! rowspan="2"| # | ! rowspan="2"| # | ||
! rowspan="2"| Cents* | ! rowspan="2"| Cents* | ||
! rowspan="2"| 11-limit ratios | ! rowspan="2"| 11-limit ratios | ||
! colspan="3"| 13-limit ratios | ! colspan="3"| 13-limit ratios | ||
| Line 27: | Line 27: | ||
| | | | ||
| | | | ||
| 13/11, 16/13 | | 13/11, '''16/13''' | ||
|- | |- | ||
| 2 | | 2 | ||
| 635.151 | | 635.151 | ||
| 10/7, 16/11 | | 10/7, '''16/11''' | ||
| | | | ||
| 13/9 | | 13/9 | ||
| Line 38: | Line 38: | ||
| 3 | | 3 | ||
| 952.727 | | 952.727 | ||
| 7/4, 12/7 | | '''7/4''', 12/7 | ||
| 22/13 | | 22/13 | ||
| 26/15 | | 26/15 | ||
| Line 45: | Line 45: | ||
| 4 | | 4 | ||
| 70.302 | | 70.302 | ||
| 21/20, 25/24, | | 21/20, 25/24, 33/32, 36/35 | ||
| | | | ||
| | | | ||
| Line 52: | Line 52: | ||
| 5 | | 5 | ||
| 387.878 | | 387.878 | ||
| 5/4, 14/11 | | '''5/4''', 14/11 | ||
| 16/13 | | '''16/13''' | ||
| | | | ||
| | | | ||
| Line 59: | Line 59: | ||
| 6 | | 6 | ||
| 705.453 | | 705.453 | ||
| 3/2 | | '''3/2''' | ||
| | | | ||
| | | | ||
| Line 117: | Line 117: | ||
| 18/11 | | 18/11 | ||
| 21/13 | | 21/13 | ||
| 13/8 | | '''13/8''' | ||
| | | | ||
|- | |- | ||
| Line 150: | Line 150: | ||
| 19 | | 19 | ||
| 33.936 | | 33.936 | ||
| | | 81/80 | ||
| | | | ||
| | | | ||
| Line 184: | Line 156: | ||
|} | |} | ||
<nowiki>*</nowiki> in 11-limit POTE tuning | <nowiki>*</nowiki> in 11-limit POTE tuning, octave reduced | ||
== Music == | == Music == | ||
[http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[ | [http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[Chris Vaisvil]] | ||
[[Category: | |||
[[Category:Temperament]] | |||
[[Category:Keemun]] | |||
[[Category:Kleismic]] | |||
[[Category:Starling]] | |||
[[Category:Listen]] | |||
Revision as of 10:09, 14 May 2021
Keemun is an extension of the hanson temperament, which tempers out 49/48, 56/55, and 100/99 in the 11-limit. EDOs that support keemun include 15edo, 19edo, and 34edo.
See Kleismic family #Keemun for technical data.
Interval chain
| # | Cents* | 11-limit ratios | 13-limit ratios | ||
|---|---|---|---|---|---|
| Keemum (4&19) |
Kema (15&19) |
Kumbaya (4&15) | |||
| 0 | 0.000 | 1/1 | |||
| 1 | 317.576 | 6/5 | 13/11, 16/13 | ||
| 2 | 635.151 | 10/7, 16/11 | 13/9 | ||
| 3 | 952.727 | 7/4, 12/7 | 22/13 | 26/15 | |
| 4 | 70.302 | 21/20, 25/24, 33/32, 36/35 | 14/13 | ||
| 5 | 387.878 | 5/4, 14/11 | 16/13 | ||
| 6 | 705.453 | 3/2 | 20/13 | ||
| 7 | 1023.029 | 9/5, 20/11 | 24/13 | ||
| 8 | 140.605 | 12/11, 15/14 | 14/13 | 13/12 | |
| 9 | 458.180 | 9/7, 21/16 | 13/10 | ||
| 10 | 775.756 | 25/16 | 20/13 | ||
| 11 | 1093.331 | 15/8 | 24/13 | 13/7 | |
| 12 | 210.907 | 9/8 | 15/13 | ||
| 13 | 528.482 | 15/11 | 18/13 | ||
| 14 | 846.058 | 18/11 | 21/13 | 13/8 | |
| 15 | 1163.634 | 27/14 | 25/13 | ||
| 16 | 281.209 | 15/13 | 13/11 | ||
| 17 | 598.785 | 45/32 | 18/13 | ||
| 18 | 916.360 | 27/16 | |||
| 19 | 33.936 | 81/80 | |||
* in 11-limit POTE tuning, octave reduced