Wollemia
The wollemia 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.
| Wollemia |
56/55, 100/99, 243/242 (11-limit)
56/55, 91/90, 100/99, 243/242
(13-limit)
13-odd-limit: 21.7 ¢
13-odd-limit: 27 notes
In addition to the tetracot comma, wollemia tempers out 126/125, making it a starling temperament.
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Todo: expand |
Interval chain
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.00 | 1/1 |
| 1 | 177.23 | 10/9, 11/10 |
| 2 | 354.46 | 11/9, 16/13 |
| 3 | 531.69 | 15/11 |
| 4 | 708.92 | 3/2 |
| 5 | 886.16 | 5/3 |
| 6 | 1063.39 | 11/6, 24/13, 28/15 |
| 7 | 40.62 | 40/39, 45/44, 55/54 |
| 8 | 217.85 | 9/8 |
| 9 | 395.08 | 5/4, 14/11 |
| 10 | 572.31 | 7/5, 11/8, 18/13 |
| 11 | 749.54 | 14/9, 20/13 |
| 12 | 926.77 | 22/13 |
| 13 | 1104.01 | 15/8 |
| 14 | 81.24 | 25/24, 27/26 |
| 15 | 258.47 | 7/6, 15/13 |
| 16 | 435.70 | |
| 17 | 612.93 | |
| 18 | 790.16 | |
| 19 | 967.39 | 7/4 |
| 20 | 1144.62 | |
| 21 | 121.86 | 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 | |
| 4/3 | 175.489 | |
| 13/11 | 175.899 | |
| 16/15 | 176.021 | |
| 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 | |
| 8/7 | 177.307 | 7-, 9-, 11-, 13- and 15-odd-limit minimax |
| 14/13 | 177.538 | |
| 7/6 | 177.791 | |
| 7/5 | 178.251 | |
| 9/7 | 178.629 | |
| 15/11 | 178.984 | |
| 14/11 | 179.723 | |
| 16/13 | 179.736 | |
| 15/14 | 180.093 | |
| 10/9 | 182.404 |