1L 9s

This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), 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.

	↑ 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 ¢)

Generator (octave fraction)					Generator (cents)	Comments
0\1					0
				1\14	85.714
			1\13		92.308	L/s = 4
				2\25	96
					1200/(9+pi)
		1\12			100	L/s = 3
					1200/(9+e)
				3\35	102.857
					1200/(10+phi)
			2\23		104.348
				3\34	105.882
	1\11				109.091	L/s = 2
					1200/(9+sqrt(3))
				4\43	111.628
			3\32		112.5
					1200/(9+phi)
				5\53	113.2075
					1200/(9+pi/2)
		2\21			114.286	L/s = 3/2
				5\52	115.385
			3\31		116.129	Miracle is in this region
				4\41	117.073
1\10					120