Opossum: Difference between revisions
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+ interval chain |
m Oops |
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| Line 17: | Line 17: | ||
|- | |- | ||
| 1 | | 1 | ||
| | | 160.0 | ||
| 10/9, 11/10, 12/11, 15/14 | | 10/9, 11/10, 12/11, 15/14 | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 320.0 | ||
| 6/5, 11/9 | | 6/5, 11/9 | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 480.0 | ||
| '''4/3''', 9/7 | | '''4/3''', 9/7 | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 640.0 | ||
| 10/7, '''16/11''', 22/15 | | 10/7, '''16/11''', 22/15 | ||
|- | |- | ||
| 5 | | 5 | ||
| | | 800.0 | ||
| '''8/5''', 11/7 | | '''8/5''', 11/7 | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 960.0 | ||
| 12/7, '''16/9''' | | 12/7, '''16/9''' | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 1120.0 | ||
| 40/21, 48/25, 64/33 | | 40/21, 48/25, 64/33 | ||
|- | |- | ||
| 8 | | 8 | ||
| | | 80.0 | ||
| 16/15, 36/35 | | 16/15, 36/35 | ||
|- | |- | ||
| 9 | | 9 | ||
| | | 240.0 | ||
| '''8/7''' | | '''8/7''' | ||
|} | |} | ||
<nowiki/>* In | <nowiki/>* In 11-limit CWE tuning, octave reduced | ||
== Tunings == | == Tunings == | ||
Revision as of 13:16, 6 June 2025
Opossum is an alternative extension to porcupine. It is defined by tempering out 28/27 and 126/125.
See Porcupine family #Opossum for technical data.
Interval chain
In the following table, odd harmonics 1–11 and their inverses are in bold.
| # | Cents* | Approximate ratios* |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 160.0 | 10/9, 11/10, 12/11, 15/14 |
| 2 | 320.0 | 6/5, 11/9 |
| 3 | 480.0 | 4/3, 9/7 |
| 4 | 640.0 | 10/7, 16/11, 22/15 |
| 5 | 800.0 | 8/5, 11/7 |
| 6 | 960.0 | 12/7, 16/9 |
| 7 | 1120.0 | 40/21, 48/25, 64/33 |
| 8 | 80.0 | 16/15, 36/35 |
| 9 | 240.0 | 8/7 |
* In 11-limit CWE tuning, octave reduced
Tunings
Tuning spectrum
| Edo generator |
Eigenmonzo (unchanged-interval) |
Generator (¢) | Comments |
|---|---|---|---|
| 15/14 | 119.443 | ||
| 13/12 | 138.573 | ||
| 13/11 | 144.605 | ||
| 9/7 | 145.028 | ||
| 1\8 | 150.000 | ||
| 12/11 | 150.637 | ||
| 13/10 | 151.405 | ||
| 14/13 | 153.100 | ||
| 7/5 | 154.372 | ||
| 7/6 | 155.522 | ||
| 14/11 | 156.498 | ||
| 3\23 | 156.522 | ||
| 6/5 | 157.821 | ||
| [0 15 6 34 -1 -15⟩ | 158.421 | 13 limit least squares | |
| 5\38 | 157.895 | ||
| 7\53 | 158.491 | ||
| 15/13 | 158.710 | ||
| [0 -5 3 19⟩ | 158.732 | 7 limit least squares | |
| 8/7 | 159.019 | 7, 9, 11, 13 and 15 limit minimax | |
| 18/13 | 159.154 | ||
| [0 32 23 35 -5 -21⟩ | 159.377 | 15 limit least squares | |
| [0 3 2 22⟩ | 159.481 | 9 limit least squares | |
| 1815912315/1476395008 | 159.564 | 11 limit least squares | |
| 2\15 | 160.000 | ||
| 11/8 | 162.171 | ||
| 5/4 | 162.737 | 5 limit minimax | |
| 262144/234375 | 162.996 | 5 limit least squares | |
| 16/15 | 163.966 | ||
| 11/10 | 165.004 | ||
| 15/11 | 165.762 | ||
| 4/3 | 166.015 | ||
| 11/9 | 173.704 | ||
| 16/13 | 179.736 | ||
| 10/9 | 182.404 |