Bunya
| Bunya |
100/99, 225/224, 243/242 (11-limit)
100/99, 144/143, 225/224, 243/242
(13-limit)
13-odd-limit: 10.9 ¢
13-odd-limit: 34 notes
The bunya temperament is one of the 7-limit extensions of tetracot, the 5-limit temperament tempering out the tetracot comma (20000/19683), and is naturally a full 13-limit temperament.
|
Todo: expand |
Interval chain
In the following tables, odd harmonics 1–13 and their inverses are in bold.
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.00 | 1/1 |
| 1 | 175.89 | 10/9, 11/10 |
| 2 | 351.77 | 11/9, 16/13 |
| 3 | 527.66 | 15/11 |
| 4 | 703.54 | 3/2 |
| 5 | 879.43 | 5/3 |
| 6 | 1055.31 | 11/6, 24/13 |
| 7 | 31.20 | 40/39, 45/44, 55/54, 56/55 |
| 8 | 207.09 | 9/8 |
| 9 | 382.97 | 5/4 |
| 10 | 558.86 | 11/8, 18/13 |
| 11 | 734.74 | 20/13 |
| 12 | 910.63 | 22/13 |
| 13 | 1086.52 | 15/8, 28/15 |
| 14 | 62.40 | 25/24, 27/26, 28/27, 33/32 |
| 15 | 238.29 | 15/13 |
| 16 | 414.17 | 14/11 |
| 17 | 590.06 | 7/5 |
| 18 | 765.94 | 14/9 |
| 19 | 941.83 | |
| 20 | 1117.72 | 21/11 |
| 21 | 93.60 | 21/20 |
| 22 | 269.49 | 7/6 |
| 23 | 445.37 | |
| 24 | 621.26 | |
| 25 | 797.15 | |
| 26 | 973.03 | 7/4 |
| 27 | 1148.92 | 35/18 |
| 28 | 124.80 | 14/13 |
* In 13-limit POTE tuning, octave reduced
Tunings
Tuning spectrum
| Eigenmonzo (unchanged-interval) |
Generator (¢) | Comments |
|---|---|---|
| 11/10 | 165.004 | |
| 11/9 | 173.704 | |
| 12/11 | 174.894 | |
| 11/8 | 175.132 | |
| 15/14 | 175.427 | |
| 7/5 | 175.442 | 11-odd-limit minimax |
| 4/3 | 175.489 | |
| 8/7 | 175.724 | |
| 7/6 | 175.767 | 7-odd-limit minimax |
| 9/7 | 175.829 | 9-odd-limit minimax |
| 13/11 | 175.899 | 13- and 15-odd-limit minimax |
| 14/13 | 176.011 | |
| 16/15 | 176.021 | |
| 14/11 | 176.094 | |
| 5/4 | 176.257 | 5-odd-limit minimax |
| 18/13 | 176.338 | |
| 15/13 | 176.516 | |
| 6/5 | 176.872 | |
| 13/10 | 176.890 | |
| 13/12 | 176.905 | |
| 15/11 | 178.984 | |
| 16/13 | 179.736 | |
| 10/9 | 182.404 |