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

Modes of 1L 9s

UDP	Cyclic order	Step pattern
9|0	1	Lsssssssss
8|1	10	sLssssssss
7|2	9	ssLsssssss
6|3	8	sssLssssss
5|4	7	ssssLsssss
4|5	6	sssssLssss
3|6	5	ssssssLsss
2|7	4	sssssssLss
1|8	3	ssssssssLs
0|9	2	sssssssssL

Degrees

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.

Intervals

Intervals of 1L 9s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-asinastep	Perfect 0-asinastep	P0asis	0	0.0 ¢
1-asinastep	Perfect 1-asinastep	P1asis	s	0.0 ¢ to 120.0 ¢
	Augmented 1-asinastep	A1asis	L	120.0 ¢ to 1200.0 ¢
2-asinastep	Minor 2-asinastep	m2asis	2s	0.0 ¢ to 240.0 ¢
	Major 2-asinastep	M2asis	L + s	240.0 ¢ to 1200.0 ¢
3-asinastep	Minor 3-asinastep	m3asis	3s	0.0 ¢ to 360.0 ¢
	Major 3-asinastep	M3asis	L + 2s	360.0 ¢ to 1200.0 ¢
4-asinastep	Minor 4-asinastep	m4asis	4s	0.0 ¢ to 480.0 ¢
	Major 4-asinastep	M4asis	L + 3s	480.0 ¢ to 1200.0 ¢
5-asinastep	Minor 5-asinastep	m5asis	5s	0.0 ¢ to 600.0 ¢
	Major 5-asinastep	M5asis	L + 4s	600.0 ¢ to 1200.0 ¢
6-asinastep	Minor 6-asinastep	m6asis	6s	0.0 ¢ to 720.0 ¢
	Major 6-asinastep	M6asis	L + 5s	720.0 ¢ to 1200.0 ¢
7-asinastep	Minor 7-asinastep	m7asis	7s	0.0 ¢ to 840.0 ¢
	Major 7-asinastep	M7asis	L + 6s	840.0 ¢ to 1200.0 ¢
8-asinastep	Minor 8-asinastep	m8asis	8s	0.0 ¢ to 960.0 ¢
	Major 8-asinastep	M8asis	L + 7s	960.0 ¢ to 1200.0 ¢
9-asinastep	Diminished 9-asinastep	d9asis	9s	0.0 ¢ to 1080.0 ¢
	Perfect 9-asinastep	P9asis	L + 8s	1080.0 ¢ to 1200.0 ¢
10-asinastep	Perfect 10-asinastep	P10asis	L + 9s	1200.0 ¢