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 ¢)
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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 albitonic 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

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details: Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: {{MOS tuning spectrum | 3/2 = Example comment | 4/3 = Another example comment }} The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.

Scale tree and tuning spectrum of 9L 1s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\10						120.000	1080.000	1:1	1.000	Equalized 9L 1s
					6\59	122.034	1077.966	6:5	1.200
				5\49		122.449	1077.551	5:4	1.250
					9\88	122.727	1077.273	9:7	1.286
			4\39			123.077	1076.923	4:3	1.333	Supersoft 9L 1s
					11\107	123.364	1076.636	11:8	1.375
				7\68		123.529	1076.471	7:5	1.400
					10\97	123.711	1076.289	10:7	1.429
		3\29				124.138	1075.862	3:2	1.500	Soft 9L 1s
					11\106	124.528	1075.472	11:7	1.571
				8\77		124.675	1075.325	8:5	1.600
					13\125	124.800	1075.200	13:8	1.625
			5\48			125.000	1075.000	5:3	1.667	Semisoft 9L 1s
					12\115	125.217	1074.783	12:7	1.714
				7\67		125.373	1074.627	7:4	1.750
					9\86	125.581	1074.419	9:5	1.800
	2\19					126.316	1073.684	2:1	2.000	Basic 9L 1s
					9\85	127.059	1072.941	9:4	2.250
				7\66		127.273	1072.727	7:3	2.333
					12\113	127.434	1072.566	12:5	2.400
			5\47			127.660	1072.340	5:2	2.500	Semihard 9L 1s
					13\122	127.869	1072.131	13:5	2.600
				8\75		128.000	1072.000	8:3	2.667
					11\103	128.155	1071.845	11:4	2.750
		3\28				128.571	1071.429	3:1	3.000	Hard 9L 1s
					10\93	129.032	1070.968	10:3	3.333
				7\65		129.231	1070.769	7:2	3.500
					11\102	129.412	1070.588	11:3	3.667
			4\37			129.730	1070.270	4:1	4.000	Superhard 9L 1s
					9\83	130.120	1069.880	9:2	4.500
				5\46		130.435	1069.565	5:1	5.000
					6\55	130.909	1069.091	6:1	6.000
1\9						133.333	1066.667	1:0	→ ∞	Collapsed 9L 1s