Opossum: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Cmloegcmluin (talk | contribs)
autopatrolled, emailconfirmed
5,160 edits
unchanged interval → unchanged-interval
Rework
Line 1: Line 1:
See [[Trienstonic_clan#Opossum|Trienstonic clan]].
'''Opossum''' is an alternative [[extension]] to [[porcupine]]. It is defined by [[tempering out]] [[28/27]] and [[126/125]].  


Gencom: [2 10/9; 28/27 40/39 55/54 66/65]
See [[Porcupine family #Opossum]] for technical data.
 
Gencom mapping: [{{val|1 2 3 4 4 4}}, {{val|0 -3 -5 -9 -4 -2}}]


== Tuning spectrum ==
== Tuning spectrum ==
 
{| class="wikitable center-all left-4"
{| class="wikitable center-all"
|-
|-
! | ET<br>generator
! Edo<br>generator
! | [[eigenmonzo|eigenmonzo<br>(unchanged-interval]])
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval)]]
! | neutral<br>second (¢)
! Generator (¢)
! | comments
! Comments
|-
|-
| |
|  
| | 15/14
| 15/14
| | 119.443
| 119.443
| |
|  
|-
|-
| |
|  
| | 13/12
| 13/12
| | 138.573
| 138.573
| |
|  
|-
|-
| |
|  
| | 13/11
| 13/11
| | 144.605
| 144.605
| |
|  
|-
|-
| |
|  
| | 9/7
| 9/7
| | 145.028
| 145.028
| |
|  
|-
|-
| | 1\8
| 1\8
| |
|  
| | 150.000
| 150.000
| |
|  
|-
|-
| |
|  
| | 12/11
| 12/11
| | 150.637
| 150.637
| |
|  
|-
|-
| |
|  
| | 13/10
| 13/10
| | 151.405
| 151.405
| |
|  
|-
|-
| |
|  
| | 14/13
| 14/13
| | 153.100
| 153.100
| |
|  
|-
|-
| |
|  
| | 7/5
| 7/5
| | 154.372
| 154.372
| |
|  
|-
|-
| |
|  
| | 7/6
| 7/6
| | 155.522
| 155.522
| |
|  
|-
|-
| |
|  
| | 14/11
| 14/11
| | 156.498
| 156.498
| |
|  
|-
|-
| | 3\23
| 3\23
| |
|  
| | 156.522
| 156.522
| |
|  
|-
|-
| |
|  
| | 6/5
| 6/5
| | 157.821
| 157.821
| |
|  
|-
|-
| |
|  
| | {{vector|0 15 6 34 -1 -15}}
| {{vector|0 15 6 34 -1 -15}}
| | 158.421
| 158.421
| | 13 limit least squares
| 13 limit least squares
|-
|-
| | 5\38
| 5\38
| |
|  
| | 157.895
| 157.895
| |
|  
|-
|-
| | 7\53
| 7\53
| |
|  
| | 158.491
| 158.491
| |
|  
|-
|-
| |
|  
| | 15/13
| 15/13
| | 158.710
| 158.710
| |
|  
|-
|-
| |
|  
| | {{vector|0 -5 3 19}}
| {{vector|0 -5 3 19}}
| | 158.732
| 158.732
| | 7 limit least squares
| 7 limit least squares
|-
|-
| |
|  
| | 8/7
| 8/7
| | 159.019
| 159.019
| | 7, 9, 11, 13 and 15 limit minimax
| 7, 9, 11, 13 and 15 limit minimax
|-
|-
| |
|  
| | 18/13
| 18/13
| | 159.154
| 159.154
| |
|  
|-
|-
| |
|  
| | {{vector|0 32 23 35 -5 -21}}
| {{vector|0 32 23 35 -5 -21}}
| | 159.377
| 159.377
| | 15 limit least squares
| 15 limit least squares
|-
|-
| |
|  
| | {{vector|0 3 2 22}}
| {{vector|0 3 2 22}}
| | 159.481
| 159.481
| | 9 limit least squares
| 9 limit least squares
|-
|-
| |
|  
| | 1815912315/1476395008
| 1815912315/1476395008
| | 159.564
| 159.564
| | 11 limit least squares
| 11 limit least squares
|-
|-
| | 2\15
| 2\15
| |
|  
| | 160.000
| 160.000
| |
|  
|-
|-
| |
|  
| | 11/8
| 11/8
| | 162.171
| 162.171
| |
|  
|-
|-
| |
|  
| | 5/4
| 5/4
| | 162.737
| 162.737
| | 5 limit minimax
| 5 limit minimax
|-
|-
| |
|  
| | 262144/234375
| 262144/234375
| | 162.996
| 162.996
| | 5 limit least squares
| 5 limit least squares
|-
|-
| |
|  
| | 16/15
| 16/15
| | 163.966
| 163.966
| |
|  
|-
|-
| |
|  
| | 11/10
| 11/10
| | 165.004
| 165.004
| |
|  
|-
|-
| |
|  
| | 15/11
| 15/11
| | 165.762
| 165.762
| |
|  
|-
|-
| |
|  
| | 4/3
| 4/3
| | 166.015
| 166.015
| |
|  
|-
|-
| |
|  
| | 11/9
| 11/9
| | 173.704
| 173.704
| |
|  
|-
|-
| |
|  
| | 16/13
| 16/13
| | 179.736
| 179.736
| |
|  
|-
|-
| |
|  
| | 10/9
| 10/9
| | 182.404
| 182.404
| |
|  
|}
|}


[[Category:Smart redirect]]
[[Category:Temperaments]]
[[Category:Porcupine family]]
[[Category:Trienstonic clan]]
[[Category:Starling temperaments]]

Revision as of 11:39, 21 November 2024

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.

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
Retrieved from "https://en.xen.wiki/index.php?title=Opossum&oldid=167156"