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 is the MOS pattern Lsssssssss with small steps ranging from 0\1 (0¢) to 1\10 (one step of 10edo = 120¢).

This MOS is called the "Happy" decatonic scale in Graham Breed's system, or, potentially, antisinatonic in TAMNAMS by analogy to its sister MOS. It is the simplest MOS which may be used as a complete version of Miracle temperament, which is also its harmonic entropy minimum.

Modes

• 9|0 Lsssssssss
• 8|1 sLssssssss
• 7|2 ssLsssssss
• 6|3 sssLssssss
• 5|4 ssssLsssss
• 4|5 sssssLssss
• 3|6 ssssssLsss
• 2|7 sssssssLss
• 1|8 ssssssssLs
• 0|9 sssssssssL

Scale tree

Generator ranges:

• Chroma-positive generator: 1080 cents (9\10) to 1200 cents (1\1)
• Chroma-negative generator: 0 cents (0\1) to 120 cents (1\10)

Small step (chroma-negative generator)						Cents	L	s	L/s	Comments
1\10						120.000	1	1	1.000
					5\51	117.647	6	5	1.200
				4\41		117.073	5	4	1.250
					7\72	116.667	9	7	1.286	Miracle
			3\31			116.129	4	3	1.333
					8\83	115.663	11	8	1.375
				5\52		115.385	7	5	1.400
					7\73	115.068	10	7	1.429
		2\21				114.286	3	2	1.500
					7\74	113.514	11	7	1.571
				5\53		113.208	8	5	1.600
					8\85	112.941	13	8	1.625	Golden misneb (113.0153¢)
			3\32			112.500	5	3	1.667
					7\75	112.000	12	7	1.714
				4\43		111.628	7	4	1.750
					5\54	111.111	9	5	1.800
	1\11					109.091	2	1	2.000	Basic 1L 9s (small steps larger than this are proper)
					4\45	106.667	9	4	2.250
				3\34		105.882	7	3	2.333
					5\57	105.263	12	5	2.400
			2\23			104.348	5	2	2.500
					5\58	103.448	13	5	2.600	Golden ripple (103.2877¢)
				3\35		102.857	8	3	2.667
					4\47	102.128	11	4	2.750
		1\12				100.000	3	1	3.000	Ripple
					3\37	97.297	10	3	3.333	Passion
				2\25		96.000	7	2	3.500
					3\38	94.737	11	3	3.667
			1\13			92.308	4	1	4.000
					2\27	88.889	9	2	4.500
				1\14		85.714	5	1	5.000
					1\15	80.000	6	1	6.000	Valentine
0\1						0.000	1	0	→ inf