9L 7s

↖ 8L 6s	↑ 9L 6s	10L 6s ↗
← 8L 7s	9L 7s	10L 7s →
↙ 8L 8s	↓ 9L 8s	10L 8s ↘

┌╥╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬┐ │║║│║│║│║║│║│║│║││ ││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLsLsLsLLsLsLsLs sLsLsLsLLsLsLsLL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	7\16 to 4\9 (525.0¢ to 533.3¢)
Dark	5\9 to 9\16 (666.7¢ to 675.0¢)
TAMNAMS information
Descends from	7L 2s (armotonic)
Ancestor's step ratio range	1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent	7L 2s
Sister	7L 9s
Daughters	16L 9s, 9L 16s
Neutralized	2L 14s
2-Flought	25L 7s, 9L 23s
Equal tunings
Equalized (L:s = 1:1)	7\16 (525.0¢)
Supersoft (L:s = 4:3)	25\57 (526.3¢)
Soft (L:s = 3:2)	18\41 (526.8¢)
Semisoft (L:s = 5:3)	29\66 (527.3¢)
Basic (L:s = 2:1)	11\25 (528.0¢)
Semihard (L:s = 5:2)	26\59 (528.8¢)
Hard (L:s = 3:1)	15\34 (529.4¢)
Superhard (L:s = 4:1)	19\43 (530.2¢)
Collapsed (L:s = 1:0)	4\9 (533.3¢)

9L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 7 small steps, repeating every octave. 9L 7s is a child scale of 7L 2s, expanding it by 7 tones. Generators that produce this scale range from 525¢ to 533.3¢, or from 666.7¢ to 675¢.

Modes

Modes of 9L 7s

UDP	Cyclic order	Step pattern
15|0	1	LLsLsLsLLsLsLsLs
14|1	8	LLsLsLsLsLLsLsLs
13|2	15	LsLLsLsLsLLsLsLs
12|3	6	LsLLsLsLsLsLLsLs
11|4	13	LsLsLLsLsLsLLsLs
10|5	4	LsLsLLsLsLsLsLLs
9|6	11	LsLsLsLLsLsLsLLs
8|7	2	LsLsLsLLsLsLsLsL
7|8	9	LsLsLsLsLLsLsLsL
6|9	16	sLLsLsLsLLsLsLsL
5|10	7	sLLsLsLsLsLLsLsL
4|11	14	sLsLLsLsLsLLsLsL
3|12	5	sLsLLsLsLsLsLLsL
2|13	12	sLsLsLLsLsLsLLsL
1|14	3	sLsLsLLsLsLsLsLL
0|15	10	sLsLsLsLLsLsLsLL

Intervals

Intervals of 9L 7s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-mosstep	Perfect 0-mosstep	P0ms	0	0.0¢
1-mosstep	Minor 1-mosstep	m1ms	s	0.0¢ to 75.0¢
	Major 1-mosstep	M1ms	L	75.0¢ to 133.3¢
2-mosstep	Minor 2-mosstep	m2ms	L + s	133.3¢ to 150.0¢
	Major 2-mosstep	M2ms	2L	150.0¢ to 266.7¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	133.3¢ to 225.0¢
	Major 3-mosstep	M3ms	2L + s	225.0¢ to 266.7¢
4-mosstep	Minor 4-mosstep	m4ms	2L + 2s	266.7¢ to 300.0¢
	Major 4-mosstep	M4ms	3L + s	300.0¢ to 400.0¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	266.7¢ to 375.0¢
	Major 5-mosstep	M5ms	3L + 2s	375.0¢ to 400.0¢
6-mosstep	Minor 6-mosstep	m6ms	3L + 3s	400.0¢ to 450.0¢
	Major 6-mosstep	M6ms	4L + 2s	450.0¢ to 533.3¢
7-mosstep	Diminished 7-mosstep	d7ms	3L + 4s	400.0¢ to 525.0¢
	Perfect 7-mosstep	P7ms	4L + 3s	525.0¢ to 533.3¢
8-mosstep	Minor 8-mosstep	m8ms	4L + 4s	533.3¢ to 600.0¢
	Major 8-mosstep	M8ms	5L + 3s	600.0¢ to 666.7¢
9-mosstep	Perfect 9-mosstep	P9ms	5L + 4s	666.7¢ to 675.0¢
	Augmented 9-mosstep	A9ms	6L + 3s	675.0¢ to 800.0¢
10-mosstep	Minor 10-mosstep	m10ms	5L + 5s	666.7¢ to 750.0¢
	Major 10-mosstep	M10ms	6L + 4s	750.0¢ to 800.0¢
11-mosstep	Minor 11-mosstep	m11ms	6L + 5s	800.0¢ to 825.0¢
	Major 11-mosstep	M11ms	7L + 4s	825.0¢ to 933.3¢
12-mosstep	Minor 12-mosstep	m12ms	6L + 6s	800.0¢ to 900.0¢
	Major 12-mosstep	M12ms	7L + 5s	900.0¢ to 933.3¢
13-mosstep	Minor 13-mosstep	m13ms	7L + 6s	933.3¢ to 975.0¢
	Major 13-mosstep	M13ms	8L + 5s	975.0¢ to 1066.7¢
14-mosstep	Minor 14-mosstep	m14ms	7L + 7s	933.3¢ to 1050.0¢
	Major 14-mosstep	M14ms	8L + 6s	1050.0¢ to 1066.7¢
15-mosstep	Minor 15-mosstep	m15ms	8L + 7s	1066.7¢ to 1125.0¢
	Major 15-mosstep	M15ms	9L + 6s	1125.0¢ to 1200.0¢
16-mosstep	Perfect 16-mosstep	P16ms	9L + 7s	1200.0¢

Tuning spectrum

Todo: review Review entries from past page revision and enter them into the scale tree.

Scale Tree and Tuning Spectrum of 9L 7s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\16						525.000	675.000	1:1	1.000	Equalized 9L 7s
					39\89	525.843	674.157	6:5	1.200
				32\73		526.027	673.973	5:4	1.250
					57\130	526.154	673.846	9:7	1.286
			25\57			526.316	673.684	4:3	1.333	Supersoft 9L 7s
					68\155	526.452	673.548	11:8	1.375
				43\98		526.531	673.469	7:5	1.400
					61\139	526.619	673.381	10:7	1.429
		18\41				526.829	673.171	3:2	1.500	Soft 9L 7s
					65\148	527.027	672.973	11:7	1.571
				47\107		527.103	672.897	8:5	1.600
					76\173	527.168	672.832	13:8	1.625
			29\66			527.273	672.727	5:3	1.667	Semisoft 9L 7s
					69\157	527.389	672.611	12:7	1.714
				40\91		527.473	672.527	7:4	1.750
					51\116	527.586	672.414	9:5	1.800
	11\25					528.000	672.000	2:1	2.000	Basic 9L 7s Scales with tunings softer than this are proper
					48\109	528.440	671.560	9:4	2.250
				37\84		528.571	671.429	7:3	2.333
					63\143	528.671	671.329	12:5	2.400
			26\59			528.814	671.186	5:2	2.500	Semihard 9L 7s
					67\152	528.947	671.053	13:5	2.600
				41\93		529.032	670.968	8:3	2.667
					56\127	529.134	670.866	11:4	2.750
		15\34				529.412	670.588	3:1	3.000	Hard 9L 7s
					49\111	529.730	670.270	10:3	3.333
				34\77		529.870	670.130	7:2	3.500
					53\120	530.000	670.000	11:3	3.667
			19\43			530.233	669.767	4:1	4.000	Superhard 9L 7s
					42\95	530.526	669.474	9:2	4.500
				23\52		530.769	669.231	5:1	5.000
					27\61	531.148	668.852	6:1	6.000
4\9						533.333	666.667	1:0	→ ∞	Collapsed 9L 7s

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