8L 11s

↖ 7L 10s	↑ 8L 10s	9L 10s ↗
← 7L 11s	8L 11s	9L 11s →
↙ 7L 12s	↓ 8L 12s	9L 12s ↘

┌╥┬╥┬╥┬┬╥┬╥┬╥┬┬╥┬╥┬┬┐ │║│║│║││║│║│║││║│║│││ │││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsLsLssLsLsLssLsLss ssLsLssLsLsLssLsLsL
Equave	2/1 (1200.0¢)
Period	2/1 (1200.0¢)
Generator size
Bright	7\19 to 3\8 (442.1¢ to 450.0¢)
Dark	5\8 to 12\19 (750.0¢ to 757.9¢)
TAMNAMS information
Descends from	3L 5s (checkertonic)
Ancestor's step ratio range	1:1 to 3:2 (soft)
Related MOS scales
Parent	8L 3s
Sister	11L 8s
Daughters	19L 8s, 8L 19s
Neutralized	16L 3s
2-Flought	27L 11s, 8L 30s
Equal tunings
Equalized (L:s = 1:1)	7\19 (442.1¢)
Supersoft (L:s = 4:3)	24\65 (443.1¢)
Soft (L:s = 3:2)	17\46 (443.5¢)
Semisoft (L:s = 5:3)	27\73 (443.8¢)
Basic (L:s = 2:1)	10\27 (444.4¢)
Semihard (L:s = 5:2)	23\62 (445.2¢)
Hard (L:s = 3:1)	13\35 (445.7¢)
Superhard (L:s = 4:1)	16\43 (446.5¢)
Collapsed (L:s = 1:0)	3\8 (450.0¢)

8L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 11 small steps, repeating every octave. 8L 11s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 442.1¢ to 450¢, or from 750¢ to 757.9¢.

Modes

Modes of 8L 11s

UDP	Cyclic order	Step pattern
18|0	1	LsLsLssLsLsLssLsLss
17|1	8	LsLsLssLsLssLsLsLss
16|2	15	LsLssLsLsLssLsLsLss
15|3	3	LsLssLsLsLssLsLssLs
14|4	10	LsLssLsLssLsLsLssLs
13|5	17	LssLsLsLssLsLsLssLs
12|6	5	LssLsLsLssLsLssLsLs
11|7	12	LssLsLssLsLsLssLsLs
10|8	19	sLsLsLssLsLsLssLsLs
9|9	7	sLsLsLssLsLssLsLsLs
8|10	14	sLsLssLsLsLssLsLsLs
7|11	2	sLsLssLsLsLssLsLssL
6|12	9	sLsLssLsLssLsLsLssL
5|13	16	sLssLsLsLssLsLsLssL
4|14	4	sLssLsLsLssLsLssLsL
3|15	11	sLssLsLssLsLsLssLsL
2|16	18	ssLsLsLssLsLsLssLsL
1|17	6	ssLsLsLssLsLssLsLsL
0|18	13	ssLsLssLsLsLssLsLsL

Intervals

Intervals of 8L 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 63.2¢
	Major 1-mosstep	M1ms	L	63.2¢ to 150.0¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0¢ to 126.3¢
	Major 2-mosstep	M2ms	L + s	126.3¢ to 150.0¢
3-mosstep	Minor 3-mosstep	m3ms	L + 2s	150.0¢ to 189.5¢
	Major 3-mosstep	M3ms	2L + s	189.5¢ to 300.0¢
4-mosstep	Minor 4-mosstep	m4ms	L + 3s	150.0¢ to 252.6¢
	Major 4-mosstep	M4ms	2L + 2s	252.6¢ to 300.0¢
5-mosstep	Minor 5-mosstep	m5ms	2L + 3s	300.0¢ to 315.8¢
	Major 5-mosstep	M5ms	3L + 2s	315.8¢ to 450.0¢
6-mosstep	Minor 6-mosstep	m6ms	2L + 4s	300.0¢ to 378.9¢
	Major 6-mosstep	M6ms	3L + 3s	378.9¢ to 450.0¢
7-mosstep	Diminished 7-mosstep	d7ms	2L + 5s	300.0¢ to 442.1¢
	Perfect 7-mosstep	P7ms	3L + 4s	442.1¢ to 450.0¢
8-mosstep	Minor 8-mosstep	m8ms	3L + 5s	450.0¢ to 505.3¢
	Major 8-mosstep	M8ms	4L + 4s	505.3¢ to 600.0¢
9-mosstep	Minor 9-mosstep	m9ms	3L + 6s	450.0¢ to 568.4¢
	Major 9-mosstep	M9ms	4L + 5s	568.4¢ to 600.0¢
10-mosstep	Minor 10-mosstep	m10ms	4L + 6s	600.0¢ to 631.6¢
	Major 10-mosstep	M10ms	5L + 5s	631.6¢ to 750.0¢
11-mosstep	Minor 11-mosstep	m11ms	4L + 7s	600.0¢ to 694.7¢
	Major 11-mosstep	M11ms	5L + 6s	694.7¢ to 750.0¢
12-mosstep	Perfect 12-mosstep	P12ms	5L + 7s	750.0¢ to 757.9¢
	Augmented 12-mosstep	A12ms	6L + 6s	757.9¢ to 900.0¢
13-mosstep	Minor 13-mosstep	m13ms	5L + 8s	750.0¢ to 821.1¢
	Major 13-mosstep	M13ms	6L + 7s	821.1¢ to 900.0¢
14-mosstep	Minor 14-mosstep	m14ms	5L + 9s	750.0¢ to 884.2¢
	Major 14-mosstep	M14ms	6L + 8s	884.2¢ to 900.0¢
15-mosstep	Minor 15-mosstep	m15ms	6L + 9s	900.0¢ to 947.4¢
	Major 15-mosstep	M15ms	7L + 8s	947.4¢ to 1050.0¢
16-mosstep	Minor 16-mosstep	m16ms	6L + 10s	900.0¢ to 1010.5¢
	Major 16-mosstep	M16ms	7L + 9s	1010.5¢ to 1050.0¢
17-mosstep	Minor 17-mosstep	m17ms	7L + 10s	1050.0¢ to 1073.7¢
	Major 17-mosstep	M17ms	8L + 9s	1073.7¢ to 1200.0¢
18-mosstep	Minor 18-mosstep	m18ms	7L + 11s	1050.0¢ to 1136.8¢
	Major 18-mosstep	M18ms	8L + 10s	1136.8¢ to 1200.0¢
19-mosstep	Perfect 19-mosstep	P19ms	8L + 11s	1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 8L 11s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
7\19						442.105	757.895	1:1	1.000	Equalized 8L 11s
					38\103	442.718	757.282	6:5	1.200
				31\84		442.857	757.143	5:4	1.250
					55\149	442.953	757.047	9:7	1.286
			24\65			443.077	756.923	4:3	1.333	Supersoft 8L 11s
					65\176	443.182	756.818	11:8	1.375
				41\111		443.243	756.757	7:5	1.400
					58\157	443.312	756.688	10:7	1.429
		17\46				443.478	756.522	3:2	1.500	Soft 8L 11s
					61\165	443.636	756.364	11:7	1.571
				44\119		443.697	756.303	8:5	1.600
					71\192	443.750	756.250	13:8	1.625
			27\73			443.836	756.164	5:3	1.667	Semisoft 8L 11s
					64\173	443.931	756.069	12:7	1.714
				37\100		444.000	756.000	7:4	1.750
					47\127	444.094	755.906	9:5	1.800
	10\27					444.444	755.556	2:1	2.000	Basic 8L 11s Scales with tunings softer than this are proper
					43\116	444.828	755.172	9:4	2.250
				33\89		444.944	755.056	7:3	2.333
					56\151	445.033	754.967	12:5	2.400
			23\62			445.161	754.839	5:2	2.500	Semihard 8L 11s
					59\159	445.283	754.717	13:5	2.600
				36\97		445.361	754.639	8:3	2.667
					49\132	445.455	754.545	11:4	2.750
		13\35				445.714	754.286	3:1	3.000	Hard 8L 11s
					42\113	446.018	753.982	10:3	3.333
				29\78		446.154	753.846	7:2	3.500
					45\121	446.281	753.719	11:3	3.667
			16\43			446.512	753.488	4:1	4.000	Superhard 8L 11s
					35\94	446.809	753.191	9:2	4.500
				19\51		447.059	752.941	5:1	5.000
					22\59	447.458	752.542	6:1	6.000
3\8						450.000	750.000	1:0	→ ∞	Collapsed 8L 11s

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