4L 11s

↖ 3L 10s	↑ 4L 10s	5L 10s ↗
← 3L 11s	4L 11s	5L 11s →
↙ 3L 12s	↓ 4L 12s	5L 12s ↘

Scale structure
Step pattern	LssLsssLsssLsss sssLsssLsssLssL
Equave	2/1 (1200.0 ¢)
Period	2/1 (1200.0 ¢)
Generator size
Bright	11\15 to 3\4 (880.0 ¢ to 900.0 ¢)
Dark	1\4 to 4\15 (300.0 ¢ to 320.0 ¢)
TAMNAMS information
Related to	4L 3s (smitonic)
With tunings	3:1 to 1:0 (hard)
Related MOS scales
Parent	4L 7s
Sister	11L 4s
Daughters	15L 4s, 4L 15s
Neutralized	8L 7s
2-Flought	19L 11s, 4L 26s
Equal tunings
Equalized (L:s = 1:1)	11\15 (880.0 ¢)
Supersoft (L:s = 4:3)	36\49 (881.6 ¢)
Soft (L:s = 3:2)	25\34 (882.4 ¢)
Semisoft (L:s = 5:3)	39\53 (883.0 ¢)
Basic (L:s = 2:1)	14\19 (884.2 ¢)
Semihard (L:s = 5:2)	31\42 (885.7 ¢)
Hard (L:s = 3:1)	17\23 (887.0 ¢)
Superhard (L:s = 4:1)	20\27 (888.9 ¢)
Collapsed (L:s = 1:0)	3\4 (900.0 ¢)
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4L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 11 small steps, repeating every octave. 4L 11s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 880 ¢ to 900 ¢, or from 300 ¢ to 320 ¢.

Because myna temperament arrives at 3/2 by +10 generators, this is the lowest myna MOS which has multiple 3/2s.

Modes

Modes of 4L 11s

UDP	Cyclic order	Step pattern
14|0	1	LssLsssLsssLsss
13|1	12	LsssLssLsssLsss
12|2	8	LsssLsssLssLsss
11|3	4	LsssLsssLsssLss
10|4	15	sLssLsssLsssLss
9|5	11	sLsssLssLsssLss
8|6	7	sLsssLsssLssLss
7|7	3	sLsssLsssLsssLs
6|8	14	ssLssLsssLsssLs
5|9	10	ssLsssLssLsssLs
4|10	6	ssLsssLsssLssLs
3|11	2	ssLsssLsssLsssL
2|12	13	sssLssLsssLsssL
1|13	9	sssLsssLssLsssL
0|14	5	sssLsssLsssLssL

Intervals

Intervals of 4L 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 80.0 ¢
	Major 1-mosstep	M1ms	L	80.0 ¢ to 300.0 ¢
2-mosstep	Minor 2-mosstep	m2ms	2s	0.0 ¢ to 160.0 ¢
	Major 2-mosstep	M2ms	L + s	160.0 ¢ to 300.0 ¢
3-mosstep	Minor 3-mosstep	m3ms	3s	0.0 ¢ to 240.0 ¢
	Major 3-mosstep	M3ms	L + 2s	240.0 ¢ to 300.0 ¢
4-mosstep	Perfect 4-mosstep	P4ms	L + 3s	300.0 ¢ to 320.0 ¢
	Augmented 4-mosstep	A4ms	2L + 2s	320.0 ¢ to 600.0 ¢
5-mosstep	Minor 5-mosstep	m5ms	L + 4s	300.0 ¢ to 400.0 ¢
	Major 5-mosstep	M5ms	2L + 3s	400.0 ¢ to 600.0 ¢
6-mosstep	Minor 6-mosstep	m6ms	L + 5s	300.0 ¢ to 480.0 ¢
	Major 6-mosstep	M6ms	2L + 4s	480.0 ¢ to 600.0 ¢
7-mosstep	Minor 7-mosstep	m7ms	L + 6s	300.0 ¢ to 560.0 ¢
	Major 7-mosstep	M7ms	2L + 5s	560.0 ¢ to 600.0 ¢
8-mosstep	Minor 8-mosstep	m8ms	2L + 6s	600.0 ¢ to 640.0 ¢
	Major 8-mosstep	M8ms	3L + 5s	640.0 ¢ to 900.0 ¢
9-mosstep	Minor 9-mosstep	m9ms	2L + 7s	600.0 ¢ to 720.0 ¢
	Major 9-mosstep	M9ms	3L + 6s	720.0 ¢ to 900.0 ¢
10-mosstep	Minor 10-mosstep	m10ms	2L + 8s	600.0 ¢ to 800.0 ¢
	Major 10-mosstep	M10ms	3L + 7s	800.0 ¢ to 900.0 ¢
11-mosstep	Diminished 11-mosstep	d11ms	2L + 9s	600.0 ¢ to 880.0 ¢
	Perfect 11-mosstep	P11ms	3L + 8s	880.0 ¢ to 900.0 ¢
12-mosstep	Minor 12-mosstep	m12ms	3L + 9s	900.0 ¢ to 960.0 ¢
	Major 12-mosstep	M12ms	4L + 8s	960.0 ¢ to 1200.0 ¢
13-mosstep	Minor 13-mosstep	m13ms	3L + 10s	900.0 ¢ to 1040.0 ¢
	Major 13-mosstep	M13ms	4L + 9s	1040.0 ¢ to 1200.0 ¢
14-mosstep	Minor 14-mosstep	m14ms	3L + 11s	900.0 ¢ to 1120.0 ¢
	Major 14-mosstep	M14ms	4L + 10s	1120.0 ¢ to 1200.0 ¢
15-mosstep	Perfect 15-mosstep	P15ms	4L + 11s	1200.0 ¢

Scales

• Cata15
• Myna15

Scale tree

Generator						Cents		L	s	L/s	Comments
						Chroma-positive	Chroma-negative
11\15						880.000	320.000	1	1	1.000
					58\79	881.013	318.987	6	5	1.200
				47\64		881.250	318.750	5	4	1.250
					83\113	881.416	318.584	9	7	1.286
			36\49			881.633	318.367	4	3	1.333	Catalan
					97\132	881.818	318.182	11	8	1.375
				61\83		881.928	318.072	7	5	1.400
					86\117	882.051	317.949	10	7	1.428
		25\34				882.353	317.647	3	2	1.500	L/s = 3/2
					89\121	882.645	317.355	11	7	1.571	Metakleismic
				64\87		882.759	317.241	8	5	1.600
					103\140	882.857	317.143	13	8	1.625	Countercata
			39\53			883.019	316.981	5	3	1.667	Hanson/cata
					92\125	883.200	316.800	12	7	1.714	Catakleismic
				53\72		883.333	316.667	7	4	1.750
					67\91	883.516	316.484	9	5	1.800
	14\19					884.211	315.789	2	1	2.000	Basic 4L 11s (Generators smaller than this are proper)
					59\80	885.000	315.000	9	4	2.250	Parakleismic
				45\61		885.246	314.754	7	3	2.333
					76\103	885.437	314.563	12	5	2.400
			31\42			885.714	314.286	5	2	2.500
					79\107	885.981	314.019	13	5	2.600
				48\65		886.154	313.846	8	3	2.667
					65\88	886.364	313.636	11	4	2.750
		17\23				886.957	313.043	3	1	3.000	L/s = 3/1
					54\73	887.671	312.329	10	3	3.333
				37\50		888.000	312.000	7	2	3.500
					57\77	888.312	311.688	11	3	3.667	Oolong
			20\27			888.889	311.111	4	1	4.000	Starlingtet
					43\58	889.655	310.345	9	2	4.500	Myna
				23\31		890.323	309.677	5	1	5.000
					26\35	891.429	308.571	6	1	6.000
3\4						900.000	300.000	1	0	→ inf