Opossum: Difference between revisions

Revision as of 13:15, 6 June 2025

Opossum is an alternative extension to porcupine. It is defined by tempering out 28/27 and 126/125.

In the following table, odd harmonics 1–11 and their inverses are in bold.

* In 15edo tuning, octave reduced

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

@@ Line 3: / Line 3: @@
 See [[Porcupine family #Opossum]] for technical data.
-== Tuning spectrum ==
+== Interval chain ==
+In the following table, odd harmonics 1–11 and their inverses are in '''bold'''.
+{| class="wikitable center-1 right-2"
+|-
+! #
+! Cents*
+! Approximate ratios*
+|-
+| 0
+| 0.0
+| '''1/1'''
+|-
+| 1
+| 161.4
+| 10/9, 11/10, 12/11, 15/14
+|-
+| 2
+| 322.7
+| 6/5, 11/9
+|-
+| 3
+| 484.1
+| '''4/3''', 9/7
+|-
+| 4
+| 645.5
+| 10/7, '''16/11''', 22/15
+|-
+| 5
+| 806.8
+| '''8/5''', 11/7
+|-
+| 6
+| 968.2
+| 12/7, '''16/9'''
+|-
+| 7
+| 1129.6
+| 40/21, 48/25, 64/33
+|-
+| 8
+| 90.9
+| 16/15, 36/35
+|-
+| 9
+| 252.3
+| '''8/7'''
+|}
+<nowiki/>* In 15edo tuning, octave reduced
+== Tunings ==
+=== Tuning spectrum ===
 {| class="wikitable center-all left-4"
 |-