Opossum: Difference between revisions
m Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)" |
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{{Infobox regtemp | |||
| Title = Opossum | |||
| Subgroups = 2.3.5.7, 2.3.5.7.11 | |||
| Comma basis = [[28/27]], [[126/125]] (7-limit);<br>[[28/27]], [[55/54]], [[77/75]] (11-limit) | |||
| Edo join 1 = 8d | Edo join 2 = 15 | |||
| Mapping = 1; -3 -5 -9 -4 | |||
| Generators = 11/10 | |||
| Generators tuning = 160.5 | |||
| Optimization method = CWE | |||
| MOS scales = [[1L 6s]], [[7L 1s]] | |||
| Odd limit 1 = 7 | Mistuning 1 = 21.0 | Complexity 1 = 15 | |||
| Odd limit 2 = 11 | Mistuning 2 = 42.0 | Complexity 2 = 15 | |||
}} | |||
'''Opossum''' is an alternative [[extension]] to [[porcupine]]. It is defined by [[tempering out]] [[28/27]] and [[126/125]]. | '''Opossum''' is an alternative [[extension]] to [[porcupine]]. It is defined by [[tempering out]] [[28/27]] and [[126/125]]. | ||
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== Tunings == | == Tunings == | ||
{| class="wikitable | === Norm-based tunings === | ||
|+ style="font-size: 105%; white-space: nowrap;" | | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+ style="font-size: 105%; white-space: nowrap;" | 7-limit norm-based tunings | |||
|- | |- | ||
! Target | ! rowspan="2" | | ||
! colspan="3" | Euclidean | |||
|- | |||
! Constrained | |||
! Constrained & skewed | |||
! Destretched | |||
|- | |||
! Tenney | |||
| CTE: ~10/9 = 161.306{{c}} | |||
| CWE: ~10/9 = 160.459{{c}} | |||
| POTE: ~10/9 = 159.691{{c}} | |||
|} | |||
{| class="wikitable mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%; white-space: nowrap;" | 11-limit norm-based tunings | |||
|- | |||
! rowspan="2" | | |||
! colspan="3" | Euclidean | |||
|- | |||
! Constrained | |||
! Constrained & skewed | |||
! Destretched | |||
|- | |||
! Tenney | |||
| CTE: ~11/10 = 161.365{{c}} | |||
| CWE: ~11/10 = 160.464{{c}} | |||
| POTE: ~11/10 = 159.807{{c}} | |||
|} | |||
=== Target tunings === | |||
{| class="wikitable center-1 center-3 mw-collapsible mw-collapsed" | |||
|+ style="font-size: 105%; white-space: nowrap;" | Target tunings | |||
|- | |||
! rowspan="2" | Target | |||
! colspan="2" | Minimax | |||
! colspan="2" | Least squares | |||
|- | |||
! Generator | |||
! Eigenmonzo | |||
! Generator | ! Generator | ||
! Eigenmonzo | ! Eigenmonzo | ||
|- | |- | ||
| 5-odd-limit | | 5-odd-limit | ||
| ~10/9 = 162.737{{c}} | |||
| 5/4 | |||
| ~10/9 = 162.996{{c}} | | ~10/9 = 162.996{{c}} | ||
| 262144/234375 | | 262144/234375 | ||
|- | |- | ||
| 7-odd-limit | | 7-odd-limit | ||
| ~10/9 = 159.019{{c}} | |||
| 7/4 | |||
| ~10/9 = 158.732{{c}} | | ~10/9 = 158.732{{c}} | ||
| {{Monzo| 0 -5 3 19 }} | | {{Monzo| 0 -5 3 19 }} | ||
|- | |- | ||
| 9-odd-limit | | 9-odd-limit | ||
| ~ | | ~10/9 = 159.019{{c}} | ||
| 7/4 | |||
| ~10/9 = 159.481{{c}} | |||
| {{Monzo| 0 3 2 22 }} | | {{Monzo| 0 3 2 22 }} | ||
|- | |- | ||
| 11-odd-limit | | 11-odd-limit | ||
| ~ | | ~11/10 = 159.019{{c}} | ||
| 7/4 | |||
| ~11/10 = 159.564{{c}} | |||
| {{Monzo| -27 2 1 9 -1 }} | | {{Monzo| -27 2 1 9 -1 }} | ||
|- | |- | ||
| 13-odd-limit | | 13-odd-limit | ||
| ~ | | ~11/10 = 159.019{{c}} | ||
| 7/4 | |||
| ~11/10 = 158.421{{c}} | |||
| {{Monzo| 0 15 6 34 -1 -15 }} | | {{Monzo| 0 15 6 34 -1 -15 }} | ||
|- | |- | ||
| 15-odd-limit | | 15-odd-limit | ||
| ~ | | ~11/10 = 159.019{{c}} | ||
| 7/4 | |||
| ~11/10 = 159.377{{c}} | |||
| {{Monzo| 0 32 23 35 -5 -21 }} | | {{Monzo| 0 32 23 35 -5 -21 }} | ||
|} | |} | ||