9L 10s

9L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 10 small steps, repeating every octave. 9L 10s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 126.3 ¢ to 133.3 ¢, or from 1066.7 ¢ to 1073.7 ¢.

↖ 8L 9s	↑ 9L 9s	10L 9s ↗
← 8L 10s	9L 10s	10L 10s →
↙ 8L 11s	↓ 9L 11s	10L 11s ↘

Scale structure
Step pattern	LsLsLsLsLsLsLsLsLss ssLsLsLsLsLsLsLsLsL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	2\19 to 1\9 (126.3 ¢ to 133.3 ¢)
Dark	8\9 to 17\19 (1066.7 ¢ to 1073.7 ¢)
TAMNAMS information
Related to	9L 1s (sinatonic)
With tunings	2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent	9L 1s
Sister	10L 9s
Daughters	19L 9s, 9L 19s
Neutralized	18L 1s
2-Flought	28L 10s, 9L 29s
Equal tunings
Equalized (L:s = 1:1)	2\19 (126.3 ¢)
Supersoft (L:s = 4:3)	7\66 (127.3 ¢)
Soft (L:s = 3:2)	5\47 (127.7 ¢)
Semisoft (L:s = 5:3)	8\75 (128.0 ¢)
Basic (L:s = 2:1)	3\28 (128.6 ¢)
Semihard (L:s = 5:2)	7\65 (129.2 ¢)
Hard (L:s = 3:1)	4\37 (129.7 ¢)
Superhard (L:s = 4:1)	5\46 (130.4 ¢)
Collapsed (L:s = 1:0)	1\9 (133.3 ¢)
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Modes

Modes of 9L 10s

UDP	Cyclic order	Step pattern
18|0	1	LsLsLsLsLsLsLsLsLss
17|1	3	LsLsLsLsLsLsLsLssLs
16|2	5	LsLsLsLsLsLsLssLsLs
15|3	7	LsLsLsLsLsLssLsLsLs
14|4	9	LsLsLsLsLssLsLsLsLs
13|5	11	LsLsLsLssLsLsLsLsLs
12|6	13	LsLsLssLsLsLsLsLsLs
11|7	15	LsLssLsLsLsLsLsLsLs
10|8	17	LssLsLsLsLsLsLsLsLs
9|9	19	sLsLsLsLsLsLsLsLsLs
8|10	2	sLsLsLsLsLsLsLsLssL
7|11	4	sLsLsLsLsLsLsLssLsL
6|12	6	sLsLsLsLsLsLssLsLsL
5|13	8	sLsLsLsLsLssLsLsLsL
4|14	10	sLsLsLsLssLsLsLsLsL
3|15	12	sLsLsLssLsLsLsLsLsL
2|16	14	sLsLssLsLsLsLsLsLsL
1|17	16	sLssLsLsLsLsLsLsLsL
0|18	18	ssLsLsLsLsLsLsLsLsL

Tuning spectrum

generator								L	s	L/s	gen (cents)	comment
1\9								1	0		133.333
							9\82	8	1	8.000	131.707
						8\73		7	1	7.000	131.507
							15\137	13	2	6.500	131.387
					7\64			6	1	6.000	131.250
						13\119		11	2	5.500	131.092
				6\55				5	1	5.000	130.909
					11\101			9	2	4.500	130.693
						16\147		13	3	4.333	130.612
			5\46					4	1	4.000	130.435
					14\129			11	3	3.667	130.233
				9\83				7	2	3.500	130.120
					13\120			10	3	3.333	130.000
		4\37						3	1	3.000	129.730
					15\139			11	4	2.750	129.496
				11\102				8	3	2.667	129.412
			7\65					5	2	2.500	129.231
				10\93				7	3	2.333	129.032
					13\121			9	4	2.250	128.926
						16\149		11	5	2.200	128.859
	3\28							2	1	2.000	128.571
					14\131			9	5	1.800	128.244
				11\103				7	4	1.750	128.155
			8\75					5	3	1.667	128.000
				13\122				8	5	1.600	127.869
		5\47						3	2	1.500	127.660
				12\113				7	5	1.400	127.434
			7\66					4	3	1.333	127.273
				9\85				5	4	1.250	127.059
					11\104			6	5	1.200	126.923
						13\123		7	6	1.167	126.829
							15\142	8	7	1.143	126.761
2\19								1	1	1.000	126.316