Keemun
The keemun temperament 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.
This temperament was originally discovered by Dave Keenan[1].
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
Name
As he did for the comma now known as the "keenanisma", Dave Keenan resisted the temperament being named after him, but unfortunately, Paul Erlich had already begun to use the name, and so it was decided to rename it but to something that wouldn't alter its alphabetical ordering in Paul's work forcing him to redo anything, and so Herman Miller suggested "Keemun" after the tea[2].
Music
The Fallen of Kleismic15play by Chris Vaisvil
References
- ↑ Dave Keenan's original write-up, which according to Paul Erlich "implies" this temperament: https://dkeenan.com/Music/ChainOfMinor3rds.htm
- ↑ https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_13712#13775