Opossum - Revision history

FloraC: /* Tunings */ + norm-based tunings

2026-04-08T09:12:20Z

Tunings: + norm-based tunings

@@ Line 68: / Line 68: @@
 == Tunings ==
 === Target tunings ===
 {| class="wikitable center-1 center-3 mw-collapsible mw-collapsed"

FloraC: Complete target tunings

2026-04-08T09:09:43Z

Complete target tunings

← Older revision		Revision as of 09:09, 8 April 2026
Line 68:		Line 68:

	== Tunings ==		== Tunings ==
	{\| class="wikitable center-1 mw-collapsible mw-collapsed"		=== Target tunings ===
	\|+ style="font-size: 105%; white-space: nowrap;" \| ~~Least-squares~~ tunings		{\| class="wikitable center-1 center-3 mw-collapsible mw-collapsed"
			\|+ style="font-size: 105%; white-space: nowrap;" \| Target tunings
	\|-		\|-
	! Target		! 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 }}
	\|}		\|}

FloraC: + infobox

2026-04-08T09:03:09Z

+ infobox

← Older revision		Revision as of 09:03, 8 April 2026
Line 1:		Line 1:
			{{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]].

Lériendil: Text replacement - "Eigenmonzo
(unchanged-interval)" to "Unchanged interval
(eigenmonzo)"

2025-06-21T06:56:20Z

Text replacement - "Eigenmonzo<br>(unchanged-interval)" to "Unchanged interval<br>(eigenmonzo)"

← Older revision		Revision as of 06:56, 21 June 2025
Line 91:		Line 91:
	\|-		\|-
	! Edo<br>generator		! Edo<br>generator
	! [[Eigenmonzo\|~~Eigenmonzo~~<br>(~~unchanged-interval~~)]]		! [[Eigenmonzo\|Unchanged interval<br>(eigenmonzo)]]
	! Generator (¢)		! Generator (¢)
	! Comments		! Comments

FloraC: /* Tunings */ vals

2025-06-06T13:37:23Z

Tunings: vals

← Older revision		Revision as of 13:37, 6 June 2025
Line 55:		Line 55:

	== Tunings ==		== Tunings ==
	~~; Least squares tunings~~		{\| class="wikitable center-1 mw-collapsible mw-collapsed"
	{\| class="wikitable center-1"		\|+ style="font-size: 105%; white-space: nowrap;" \| Least-squares tunings
	\|-		\|-
	! Target		! Target
Line 118:		Line 118:
	\|		\|
	\| 150.000		\| 150.000
	\| ~~Lower~~ bound of 7-odd-limit diamond monotone		\| 8d val, lower bound of 7-odd-limit diamond monotone
	\|-		\|-
	\|		\|
Line 153:		Line 153:
	\|		\|
	\| 156.522		\| 156.522
	\|		\| 23bcf val
	\|-		\|-
	\|		\|
Line 163:		Line 163:
	\|		\|
	\| 157.895		\| 157.895
	\|		\| 38bceff val
	\|-		\|-
	\| 7\53		\| 7\53
	\|		\|
	\| 158.491		\| 158.491
	\|		\| 53bcefff val
	\|-		\|-
	\|		\|

FloraC: /* Tunings */ rework

2025-06-06T13:24:57Z

Tunings: rework

← Older revision		Revision as of 13:24, 6 June 2025
Line 55:		Line 55:

	== Tunings ==		== Tunings ==
			; Least squares tunings
			{\| class="wikitable center-1"
			\|-
			! Target
			! Generator
			! Eigenmonzo
			\|-
			\| 5-odd-limit
			\| ~10/9 = 162.996{{c}}
			\| 262144/234375
			\|-
			\| 7-odd-limit
			\| ~10/9 = 158.732{{c}}
			\| {{Monzo\| 0 -5 3 19 }}
			\|-
			\| 9-odd-limit
			\| ~12/11 = 159.481{{c}}
			\| {{Monzo\| 0 3 2 22 }}
			\|-
			\| 11-odd-limit
			\| ~12/11 = 159.564{{c}}
			\| {{Monzo\| -27 2 1 9 -1 }}
			\|-
			\| 13-odd-limit
			\| ~12/11 = 158.421{{c}}
			\| {{Monzo\| 0 15 6 34 -1 -15 }}
			\|-
			\| 15-odd-limit
			\| ~12/11 = 159.377{{c}}
			\| {{Monzo\| 0 32 23 35 -5 -21 }}
			\|}

	=== Tuning spectrum ===		=== Tuning spectrum ===
	{\| class="wikitable center-all left-4"		{\| class="wikitable center-all left-4"
Line 86:		Line 118:
	\|		\|
	\| 150.000		\| 150.000
	\|		\| Lower bound of 7-odd-limit diamond monotone
	\|-		\|-
	\|		\|
	\| 12/11		\| 11/6
	\| 150.637		\| 150.637
	\|		\|
Line 99:		Line 131:
	\|-		\|-
	\|		\|
	\| 14/13		\| 13/7
	\| 153.100		\| 153.100
	\|		\|
Line 114:		Line 146:
	\|-		\|-
	\|		\|
	\| 14/11		\| 11/7
	\| 156.498		\| 156.498
	\|		\|
Line 124:		Line 156:
	\|-		\|-
	\|		\|
	\| 6/5		\| 5/3
	\| 157.821		\| 157.821
	\|		\|
	\|-
	\|
	~~\| {{vector\|0 15 6 34 -1 -15}}~~
	~~\| 158.421~~
	~~\| 13 limit least squares~~
	\|-		\|-
	\| 5\38		\| 5\38
Line 149:		Line 176:
	\|-		\|-
	\|		\|
	~~\| {{vector\|0 -5 3 19}}~~		\| 7/4
	~~\| 158.732~~
	\| 7 ~~limit least squares~~
	\|-
	\|
	~~\| 8~~/7
	\| 159.019		\| 159.019
	\| 7, 9, 11, 13 and 15 limit minimax		\| 7-, 9-, 11-, 13- and 15-odd-limit minimax
	\|-		\|-
	\|		\|
	\| 18/13		\| 13/9
	\| 159.154		\| 159.154
	\|		\|
	\|-
	\|
	~~\| {{vector\|0 32 23 35 -5 -21}}~~
	~~\| 159.377~~
	~~\| 15 limit least squares~~
	\|-
	\|
	~~\| {{vector\|0 3 2 22}}~~
	~~\| 159.481~~
	~~\| 9 limit least squares~~
	\|-
	\|
	~~\| 1815912315/1476395008~~
	~~\| 159.564~~
	~~\| 11 limit least squares~~
	\|-		\|-
	\| 2\15		\| 2\15
	\|		\|
	\| 160.000		\| 160.000
	\|		\| Upper bound of 7-odd-limit diamond monotone<br>9- and 11-odd-limit diamond monotone (singleton)
	\|-		\|-
	\|		\|
Line 191:		Line 198:
	\| 5/4		\| 5/4
	\| 162.737		\| 162.737
	\| 5 limit minimax		\| 5-odd-limit minimax
	\|-
	\|
	~~\| 262144/234375~~
	~~\| 162.996~~
	~~\| 5 limit least squares~~
	\|-		\|-
	\|		\|
	\| 16/15		\| 15/8
	\| 163.966		\| 163.966
	\|		\|
Line 214:		Line 216:
	\|-		\|-
	\|		\|
	\| 4/3		\| 3/2
	\| 166.015		\| 166.015
	\|		\|
Line 224:		Line 226:
	\|-		\|-
	\|		\|
	\| 16/13		\| 13/8
	\| 179.736		\| 179.736
	\|		\|
	\|-		\|-
	\|		\|
	\| 10/9		\| 9/5
	\| 182.404		\| 182.404
	\|		\|

FloraC at 13:16, 6 June 2025

2025-06-06T13:16:13Z

← Older revision		Revision as of 13:16, 6 June 2025
Line 52:		Line 52:
	\| '''8/7'''		\| '''8/7'''
	\|}		\|}
	<nowiki/>* In ~~11-limit CWE~~ tuning, octave reduced		<nowiki/>* In 15edo tuning, octave reduced

	== Tunings ==		== Tunings ==

FloraC: Oops

2025-06-06T13:16:01Z

Oops

← Older revision		Revision as of 13:16, 6 June 2025
Line 17:		Line 17:
	\|-		\|-
	\| 1		\| 1
	\| ~~161~~.4		\| 160.0
	\| 10/9, 11/10, 12/11, 15/14		\| 10/9, 11/10, 12/11, 15/14
	\|-		\|-
	\| 2		\| 2
	\| ~~322~~.7		\| 320.0
	\| 6/5, 11/9		\| 6/5, 11/9
	\|-		\|-
	\| 3		\| 3
	\| ~~484~~.1		\| 480.0
	\| '''4/3''', 9/7		\| '''4/3''', 9/7
	\|-		\|-
	\| 4		\| 4
	\| ~~645~~.5		\| 640.0
	\| 10/7, '''16/11''', 22/15		\| 10/7, '''16/11''', 22/15
	\|-		\|-
	\| 5		\| 5
	\| ~~806~~.8		\| 800.0
	\| '''8/5''', 11/7		\| '''8/5''', 11/7
	\|-		\|-
	\| 6		\| 6
	\| ~~968~~.2		\| 960.0
	\| 12/7, '''16/9'''		\| 12/7, '''16/9'''
	\|-		\|-
	\| 7		\| 7
	\| ~~1129~~.6		\| 1120.0
	\| 40/21, 48/25, 64/33		\| 40/21, 48/25, 64/33
	\|-		\|-
	\| 8		\| 8
	\| 90.9		\| 80.0
	\| 16/15, 36/35		\| 16/15, 36/35
	\|-		\|-
	\| 9		\| 9
	\| ~~252~~.3		\| 240.0
	\| '''8/7'''		\| '''8/7'''
	\|}		\|}
	<nowiki/>* In ~~15edo~~ tuning, octave reduced		<nowiki/>* In 11-limit CWE tuning, octave reduced

	== Tunings ==		== Tunings ==

FloraC: + interval chain

2025-06-06T13:15:04Z

+ interval chain

@@ Line 3: / Line 3: @@
 See [[Porcupine family #Opossum]] for technical data.
-== Tuning spectrum ==
+== Interval chain ==
 {| class="wikitable center-all left-4"
 |-

FloraC: - parent category

2025-04-28T14:29:49Z

- parent category

← Older revision		Revision as of 14:29, 28 April 2025
Line 182:		Line 182:
	\|}		\|}

	[[Category:~~Temperaments~~]]		[[Category:Opossum\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
			[[Category:Exotemperaments]]
	[[Category:Porcupine family]]		[[Category:Porcupine family]]
	[[Category:Trienstonic clan]]		[[Category:Trienstonic clan]]
	[[Category:Starling temperaments]]		[[Category:Starling temperaments]]
	~~[[Category:Exotemperaments]]~~