Porcupine extensions
Porcupine has various extensions to the 13-limit.
Tuning spectrum
Tridecimal porcupine
| Edo generator |
Eigenmonzo (Unchanged-interval) |
Generator (¢) | Comments |
|---|---|---|---|
| 13/12 | 138.573 | ||
| 13/11 | 144.605 | ||
| 1\8 | 150.000 | Lower bound of 5-odd-limit diamond monotone | |
| 12/11 | 150.637 | Lower bound of 11-odd-limit diamond tradeoff | |
| 13/10 | 151.405 | ||
| 6/5 | 157.821 | Lower bound of 5-, 7-, and 9-odd-limit diamond tradeoff | |
| 15/13 | 158.710 | ||
| 18/13 | 159.154 | ||
| 2\15 | 160.000 | Lower bound of 7-, 9-, and 11-odd-limit diamond monotone | |
| 8/7 | 161.471 | ||
| 14/11 | 161.751 | ||
| 7/5 | 162.047 | ||
| 5\37 | 162.162 | ||
| 11/8 | 162.171 | 13- and 15-odd-limit minimax | |
| 8\59 | 162.712 | ||
| 5/4 | 162.737 | 5- and 7-odd-limit minimax | |
| 15/14 | 162.897 | ||
| 7/6 | 162.986 | ||
| 3\22 | 163.636 | Upper bound of 7-, 9-, and 11-odd-limit diamond monotone | |
| 9/7 | 163.743 | 9- and 11-odd-limit minimax | |
| 16/15 | 163.966 | ||
| 7\51 | 164.706 | ||
| 11/10 | 165.004 | ||
| 4\29 | 165.517 | ||
| 15/11 | 165.762 | ||
| 4/3 | 166.015 | Upper bound of 5- and 7-odd-limit diamond tradeoff | |
| 14/13 | 166.037 | ||
| 1\7 | 171.429 | Upper bound of 5-odd-limit diamond monotone | |
| 11/9 | 173.704 | ||
| 16/13 | 179.736 | ||
| 10/9 | 182.404 | Upper bound of 9- and 11-odd-limit diamond tradeoff |
Porcupinefish
| Edo generator |
Eigenmonzo (unchanged-interval) |
Generator (¢) | Comments |
|---|---|---|---|
| 12/11 | 150.637 | ||
| 6/5 | 157.821 | ||
| 2\15 | 160.000 | ||
| 18/13 | 160.307 | ||
| 15/13 | 160.860 | ||
| 8/7 | 161.471 | ||
| 13/12 | 161.531 | ||
| 14/11 | 161.751 | ||
| 7/5 | 162.047 | ||
| 14/13 | 162.100 | ||
| 13/10 | 162.149 | ||
| 5\37 | 162.162 | ||
| 11/8 | 162.171 | ||
| 16/13 | 162.322 | ||
| 13/11 | 162.368 | 13- and 15-odd-limit minimax | |
| 8\59 | 162.712 | ||
| 5/4 | 162.737 | 5- and 7-odd-limit minimax | |
| 15/14 | 162.897 | ||
| 7/6 | 162.986 | ||
| 3\22 | 163.636 | ||
| 9/7 | 163.743 | 9- and 11-odd-limit minimax | |
| 16/15 | 163.966 | ||
| 7\51 | 164.706 | ||
| 11/10 | 165.004 | ||
| 4\29 | 165.517 | ||
| 15/11 | 165.762 | ||
| 4/3 | 166.015 | ||
| 11/9 | 173.704 | ||
| 10/9 | 182.404 |