7L 11s

↖ 6L 10s	↑ 7L 10s	8L 10s ↗
← 6L 11s	7L 11s	8L 11s →
↙ 6L 12s	↓ 7L 12s	8L 12s ↘

┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬┐ │║│║││║│║││║│║││║│││ ││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLssLsLssLsLssLss ssLssLsLssLsLssLsL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	5\18 to 2\7 (333.3¢ to 342.9¢)
Dark	5\7 to 13\18 (857.1¢ to 866.7¢)
TAMNAMS information
Descends from	4L 3s (smitonic)
Ancestor's step ratio range	1:1 to 3:2 (soft)
Related MOS scales
Parent	7L 4s
Sister	11L 7s
Daughters	18L 7s, 7L 18s
Neutralized	14L 4s
2-Flought	25L 11s, 7L 29s
Equal tunings
Equalized (L:s = 1:1)	5\18 (333.3¢)
Supersoft (L:s = 4:3)	17\61 (334.4¢)
Soft (L:s = 3:2)	12\43 (334.9¢)
Semisoft (L:s = 5:3)	19\68 (335.3¢)
Basic (L:s = 2:1)	7\25 (336.0¢)
Semihard (L:s = 5:2)	16\57 (336.8¢)
Hard (L:s = 3:1)	9\32 (337.5¢)
Superhard (L:s = 4:1)	11\39 (338.5¢)
Collapsed (L:s = 1:0)	2\7 (342.9¢)

7L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 11 small steps, repeating every octave. 7L 11s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 333.3¢ to 342.9¢, or from 857.1¢ to 866.7¢.

Modes

Modes of 7L 11s

UDP	Cyclic order	Step pattern
17|0	1	LsLssLsLssLsLssLss
16|1	6	LsLssLsLssLssLsLss
15|2	11	LsLssLssLsLssLsLss
14|3	16	LssLsLssLsLssLsLss
13|4	3	LssLsLssLsLssLssLs
12|5	8	LssLsLssLssLsLssLs
11|6	13	LssLssLsLssLsLssLs
10|7	18	sLsLssLsLssLsLssLs
9|8	5	sLsLssLsLssLssLsLs
8|9	10	sLsLssLssLsLssLsLs
7|10	15	sLssLsLssLsLssLsLs
6|11	2	sLssLsLssLsLssLssL
5|12	7	sLssLsLssLssLsLssL
4|13	12	sLssLssLsLssLsLssL
3|14	17	ssLsLssLsLssLsLssL
2|15	4	ssLsLssLsLssLssLsL
1|16	9	ssLsLssLssLsLssLsL
0|17	14	ssLssLsLssLsLssLsL

Intervals

Intervals of 7L 11s

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 66.7¢
	Major 1-mosstep	M1ms	L	66.7¢ to 171.4¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 133.3¢
	Major 2-mosstep	M2ms	L + s	133.3¢ to 171.4¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	171.4¢ to 200.0¢
	Major 3-mosstep	M3ms	2L + s	200.0¢ to 342.9¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	171.4¢ to 266.7¢
	Major 4-mosstep	M4ms	2L + 2s	266.7¢ to 342.9¢
5-mosstep	Diminished 5-mosstep	d5ms	L + 4s	171.4¢ to 333.3¢
	Perfect 5-mosstep	P5ms	2L + 3s	333.3¢ to 342.9¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	342.9¢ to 400.0¢
	Major 6-mosstep	M6ms	3L + 3s	400.0¢ to 514.3¢
7-mosstep	Minor 7-mosstep	m7ms	2L + 5s	342.9¢ to 466.7¢
	Major 7-mosstep	M7ms	3L + 4s	466.7¢ to 514.3¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	514.3¢ to 533.3¢
	Major 8-mosstep	M8ms	4L + 4s	533.3¢ to 685.7¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	514.3¢ to 600.0¢
	Major 9-mosstep	M9ms	4L + 5s	600.0¢ to 685.7¢
10-mosstep	Minor 10-mosstep	m10ms	3L + 7s	514.3¢ to 666.7¢
	Major 10-mosstep	M10ms	4L + 6s	666.7¢ to 685.7¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	685.7¢ to 733.3¢
	Major 11-mosstep	M11ms	5L + 6s	733.3¢ to 857.1¢
12-mosstep	Minor 12-mosstep	m12ms	4L + 8s	685.7¢ to 800.0¢
	Major 12-mosstep	M12ms	5L + 7s	800.0¢ to 857.1¢
13-mosstep	Perfect 13-mosstep	P13ms	5L + 8s	857.1¢ to 866.7¢
	Augmented 13-mosstep	A13ms	6L + 7s	866.7¢ to 1028.6¢
14-mosstep	Minor 14-mosstep	m14ms	5L + 9s	857.1¢ to 933.3¢
	Major 14-mosstep	M14ms	6L + 8s	933.3¢ to 1028.6¢
15-mosstep	Minor 15-mosstep	m15ms	5L + 10s	857.1¢ to 1000.0¢
	Major 15-mosstep	M15ms	6L + 9s	1000.0¢ to 1028.6¢
16-mosstep	Minor 16-mosstep	m16ms	6L + 10s	1028.6¢ to 1066.7¢
	Major 16-mosstep	M16ms	7L + 9s	1066.7¢ to 1200.0¢
17-mosstep	Minor 17-mosstep	m17ms	6L + 11s	1028.6¢ to 1133.3¢
	Major 17-mosstep	M17ms	7L + 10s	1133.3¢ to 1200.0¢
18-mosstep	Perfect 18-mosstep	P18ms	7L + 11s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 7L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
5\18						333.333	866.667	1:1	1.000	Equalized 7L 11s
					27\97	334.021	865.979	6:5	1.200
				22\79		334.177	865.823	5:4	1.250
					39\140	334.286	865.714	9:7	1.286
			17\61			334.426	865.574	4:3	1.333	Supersoft 7L 11s
					46\165	334.545	865.455	11:8	1.375
				29\104		334.615	865.385	7:5	1.400
					41\147	334.694	865.306	10:7	1.429
		12\43				334.884	865.116	3:2	1.500	Soft 7L 11s
					43\154	335.065	864.935	11:7	1.571
				31\111		335.135	864.865	8:5	1.600
					50\179	335.196	864.804	13:8	1.625
			19\68			335.294	864.706	5:3	1.667	Semisoft 7L 11s
					45\161	335.404	864.596	12:7	1.714
				26\93		335.484	864.516	7:4	1.750
					33\118	335.593	864.407	9:5	1.800
	7\25					336.000	864.000	2:1	2.000	Basic 7L 11s Scales with tunings softer than this are proper
					30\107	336.449	863.551	9:4	2.250
				23\82		336.585	863.415	7:3	2.333
					39\139	336.691	863.309	12:5	2.400
			16\57			336.842	863.158	5:2	2.500	Semihard 7L 11s
					41\146	336.986	863.014	13:5	2.600
				25\89		337.079	862.921	8:3	2.667
					34\121	337.190	862.810	11:4	2.750
		9\32				337.500	862.500	3:1	3.000	Hard 7L 11s
					29\103	337.864	862.136	10:3	3.333
				20\71		338.028	861.972	7:2	3.500
					31\110	338.182	861.818	11:3	3.667
			11\39			338.462	861.538	4:1	4.000	Superhard 7L 11s
					24\85	338.824	861.176	9:2	4.500
				13\46		339.130	860.870	5:1	5.000
					15\53	339.623	860.377	6:1	6.000
2\7						342.857	857.143	1:0	→ ∞	Collapsed 7L 11s

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