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Opossum: Difference between revisions

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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 ==
; Least squares tunings
=== Norm-based tunings ===
{| class="wikitable center-1"
{| 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
| ~12/11 = 159.481{{c}}
| ~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
| ~12/11 = 159.564{{c}}
| ~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
| ~12/11 = 158.421{{c}}
| ~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
| ~12/11 = 159.377{{c}}
| ~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 }}
|}
|}
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|-
|-
! Edo<br>generator
! Edo<br>generator
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! [[Eigenmonzo|Unchanged interval<br>(eigenmonzo)]]
! Generator (¢)
! Generator (¢)
! Comments
! Comments
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|  
|  
| 150.000
| 150.000
| Lower bound of 7-odd-limit diamond monotone
| 8d val, lower bound of 7-odd-limit diamond monotone
|-
|-
|  
|  
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|  
|  
| 156.522
| 156.522
|  
| 23bcf val
|-
|-
|  
|  
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|  
|  
| 157.895
| 157.895
|  
| 38bceff val
|-
|-
| 7\53
| 7\53
|  
|  
| 158.491
| 158.491
|  
| 53bcefff val
|-
|-
|  
|  
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