9L 1s

← 8L 1s	9L 1s	10L 1s →
↙ 8L 2s	↓ 9L 2s	10L 2s ↘

┌╥╥╥╥╥╥╥╥╥┬┐ │║║║║║║║║║││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLLLLLLs sLLLLLLLLL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	1\10 to 1\9 (120.0 ¢ to 133.3 ¢)
Dark	8\9 to 9\10 (1066.7 ¢ to 1080.0 ¢)
TAMNAMS information
Name	sinatonic
Prefix	sina-
Abbrev.	si
Related MOS scales
Parent	1L 8s
Sister	1L 9s
Daughters	10L 9s, 9L 10s
Neutralized	8L 2s
2-Flought	19L 1s, 9L 11s
Equal tunings
Equalized (L:s = 1:1)	1\10 (120.0 ¢)
Supersoft (L:s = 4:3)	4\39 (123.1 ¢)
Soft (L:s = 3:2)	3\29 (124.1 ¢)
Semisoft (L:s = 5:3)	5\48 (125.0 ¢)
Basic (L:s = 2:1)	2\19 (126.3 ¢)
Semihard (L:s = 5:2)	5\47 (127.7 ¢)
Hard (L:s = 3:1)	3\28 (128.6 ¢)
Superhard (L:s = 4:1)	4\37 (129.7 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)

9L 1s, named sinatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 120 ¢ to 133.3 ¢, or from 1066.7 ¢ to 1080 ¢. Scales of this form are always proper because there is only one small step. It appears as the "diatonic" scale in temperaments such as Negri and Twothirdtonic.

Names

The TAMNAMS system calls this scale pattern sinatonic after sinaic, a proposed interval category name for 14/13-like intervals that generate the scale. Graham Breed's MOS naming calls this the "Grumpy" decatonic scale.

Modes

Modes of 9L 1s

UDP	Cyclic order	Step pattern
9|0	1	LLLLLLLLLs
8|1	2	LLLLLLLLsL
7|2	3	LLLLLLLsLL
6|3	4	LLLLLLsLLL
5|4	5	LLLLLsLLLL
4|5	6	LLLLsLLLLL
3|6	7	LLLsLLLLLL
2|7	8	LLsLLLLLLL
1|8	9	LsLLLLLLLL
0|9	10	sLLLLLLLLL

Scale tree

1/10					120
				5/49	122.449
			4/39		123.077
				7/68	123.529
		3/29			124.138
					124.525
				8/77	124.675
					124.766
			5/48		125
					125.296
				7/67	125.373
	2/19				126.316
				7/66	127.273
			5/47		127.66
					127.905
				8/75	128
					128.097
		3/28			128.571
					128.779
				7/65	129.231
			4/37		129.73
				5/46	130.435
1/9					133.333