1L 9s

	↑ 1L 8s	2L 8s ↗
	1L 9s	2L 9s →
	↓ 1L 10s	2L 10s ↘

┌╥┬┬┬┬┬┬┬┬┬┐ │║││││││││││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	Lsssssssss sssssssssL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	9\10 to 1\1 (1080.0¢ to 1200.0¢)
Dark	0\1 to 1\10 (0.0¢ to 120.0¢)
TAMNAMS information
Name	antisinatonic
Prefix	asina-
Abbrev.	asi
Related MOS scales
Parent	1L 8s
Sister	9L 1s
Daughters	10L 1s, 1L 10s
Neutralized	2L 8s
2-Flought	11L 9s, 1L 19s
Equal tunings
Equalized (L:s = 1:1)	9\10 (1080.0¢)
Supersoft (L:s = 4:3)	28\31 (1083.9¢)
Soft (L:s = 3:2)	19\21 (1085.7¢)
Semisoft (L:s = 5:3)	29\32 (1087.5¢)
Basic (L:s = 2:1)	10\11 (1090.9¢)
Semihard (L:s = 5:2)	21\23 (1095.7¢)
Hard (L:s = 3:1)	11\12 (1100.0¢)
Superhard (L:s = 4:1)	12\13 (1107.7¢)
Collapsed (L:s = 1:0)	1\1 (1200.0¢)

1L 9s, named antisinatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 9 small steps, repeating every octave. Generators that produce this scale range from 1080¢ to 1200¢, or from 0¢ to 120¢. This scale is the simplest MOS which may be used as a complete version ^{[clarification needed ]} of Miracle temperament, which is also its harmonic entropy minimum.

This scale is known as the "Happy" decatonic scale in Graham Breed's naming system.

Modes

Scale degrees of the modes of 1L 9s 

UDP	Cyclic Order	Step Pattern	Scale Degree (asinadegree)
			0	1	2	3	4	5	6	7	8	9	10
9|0	1	Lsssssssss	Perf.	Aug.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
8|1	10	sLssssssss	Perf.	Perf.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
7|2	9	ssLsssssss	Perf.	Perf.	Min.	Maj.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
6|3	8	sssLssssss	Perf.	Perf.	Min.	Min.	Maj.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
5|4	7	ssssLsssss	Perf.	Perf.	Min.	Min.	Min.	Maj.	Maj.	Maj.	Maj.	Perf.	Perf.
4|5	6	sssssLssss	Perf.	Perf.	Min.	Min.	Min.	Min.	Maj.	Maj.	Maj.	Perf.	Perf.
3|6	5	ssssssLsss	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Maj.	Maj.	Perf.	Perf.
2|7	4	sssssssLss	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Maj.	Perf.	Perf.
1|8	3	ssssssssLs	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Perf.	Perf.
0|9	2	sssssssssL	Perf.	Perf.	Min.	Min.	Min.	Min.	Min.	Min.	Min.	Dim.	Perf.

Scale tree

Scale Tree and Tuning Spectrum of 1L 9s

Generator(edo)						Cents		Step Ratio		Comments
						Bright	Dark	L:s	Hardness
9\10						1080.000	120.000	1:1	1.000	Equalized 1L 9s
					46\51	1082.353	117.647	6:5	1.200
				37\41		1082.927	117.073	5:4	1.250
					65\72	1083.333	116.667	9:7	1.286	Miracle
			28\31			1083.871	116.129	4:3	1.333	Supersoft 1L 9s
					75\83	1084.337	115.663	11:8	1.375
				47\52		1084.615	115.385	7:5	1.400
					66\73	1084.932	115.068	10:7	1.429
		19\21				1085.714	114.286	3:2	1.500	Soft 1L 9s
					67\74	1086.486	113.514	11:7	1.571
				48\53		1086.792	113.208	8:5	1.600	Misneb
					77\85	1087.059	112.941	13:8	1.625
			29\32			1087.500	112.500	5:3	1.667	Semisoft 1L 9s
					68\75	1088.000	112.000	12:7	1.714
				39\43		1088.372	111.628	7:4	1.750
					49\54	1088.889	111.111	9:5	1.800
	10\11					1090.909	109.091	2:1	2.000	Basic 1L 9s Scales with tunings softer than this are proper
					41\45	1093.333	106.667	9:4	2.250
				31\34		1094.118	105.882	7:3	2.333
					52\57	1094.737	105.263	12:5	2.400
			21\23			1095.652	104.348	5:2	2.500	Semihard 1L 9s
					53\58	1096.552	103.448	13:5	2.600	Golden ripple (103.2877¢)
				32\35		1097.143	102.857	8:3	2.667
					43\47	1097.872	102.128	11:4	2.750
		11\12				1100.000	100.000	3:1	3.000	Hard 1L 9s Ripple
					34\37	1102.703	97.297	10:3	3.333	Passion (generators close to 98.670¢)
				23\25		1104.000	96.000	7:2	3.500
					35\38	1105.263	94.737	11:3	3.667
			12\13			1107.692	92.308	4:1	4.000	Superhard 1L 9s
					25\27	1111.111	88.889	9:2	4.500
				13\14		1114.286	85.714	5:1	5.000
					14\15	1120.000	80.000	6:1	6.000	Valentine (generators close to 78.039¢)
1\1						1200.000	0.000	1:0	→ ∞	Collapsed 1L 9s