3L 11s

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↖ 2L 10s↑ 3L 10s 4L 10s ↗
← 2L 11s3L 11s4L 11s →
↙ 2L 12s↓ 3L 12s 4L 12s ↘
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Scale structure
Step pattern LsssLssssLssss
ssssLssssLsssL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 9\14 to 2\3 (771.4¢ to 800.0¢)
Dark 1\3 to 5\14 (400.0¢ to 428.6¢)
TAMNAMS information
Descends from 3L 5s (checkertonic)
Ancestor's step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 3L 8s
Sister 11L 3s
Daughters 14L 3s, 3L 14s
Neutralized 6L 8s
2-Flought 17L 11s, 3L 25s
Equal tunings
Equalized (L:s = 1:1) 9\14 (771.4¢)
Supersoft (L:s = 4:3) 29\45 (773.3¢)
Soft (L:s = 3:2) 20\31 (774.2¢)
Semisoft (L:s = 5:3) 31\48 (775.0¢)
Basic (L:s = 2:1) 11\17 (776.5¢)
Semihard (L:s = 5:2) 24\37 (778.4¢)
Hard (L:s = 3:1) 13\20 (780.0¢)
Superhard (L:s = 4:1) 15\23 (782.6¢)
Collapsed (L:s = 1:0) 2\3 (800.0¢)

3L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 11 small steps, repeating every octave. 3L 11s is a grandchild scale of 3L 5s, expanding it by 6 tones. Generators that produce this scale range from 771.4¢ to 800¢, or from 400¢ to 428.6¢.

Modes

Modes of 3L 11s
UDP Cyclic
Order
Step
Pattern
13|0 1 LsssLssssLssss
12|1 10 LssssLsssLssss
11|2 5 LssssLssssLsss
10|3 14 sLsssLssssLsss
9|4 9 sLssssLsssLsss
8|5 4 sLssssLssssLss
7|6 13 ssLsssLssssLss
6|7 8 ssLssssLsssLss
5|8 3 ssLssssLssssLs
4|9 12 sssLsssLssssLs
3|10 7 sssLssssLsssLs
2|11 2 sssLssssLssssL
1|12 11 ssssLsssLssssL
0|13 6 ssssLssssLsssL

Tuning spectrum

Icon-Todo.png Todo: review
Review entries from past page revision and enter them into the scale tree.
Scale Tree and Tuning Spectrum of 3L 11s
Generator(edo) Cents Step Ratio Comments
Bright Dark L:s Hardness
9\14 771.429 428.571 1:1 1.000 Equalized 3L 11s
47\73 772.603 427.397 6:5 1.200
38\59 772.881 427.119 5:4 1.250
67\104 773.077 426.923 9:7 1.286
29\45 773.333 426.667 4:3 1.333 Supersoft 3L 11s
78\121 773.554 426.446 11:8 1.375
49\76 773.684 426.316 7:5 1.400
69\107 773.832 426.168 10:7 1.429
20\31 774.194 425.806 3:2 1.500 Soft 3L 11s
71\110 774.545 425.455 11:7 1.571
51\79 774.684 425.316 8:5 1.600
82\127 774.803 425.197 13:8 1.625
31\48 775.000 425.000 5:3 1.667 Semisoft 3L 11s
73\113 775.221 424.779 12:7 1.714
42\65 775.385 424.615 7:4 1.750
53\82 775.610 424.390 9:5 1.800
11\17 776.471 423.529 2:1 2.000 Basic 3L 11s
Scales with tunings softer than this are proper
46\71 777.465 422.535 9:4 2.250
35\54 777.778 422.222 7:3 2.333
59\91 778.022 421.978 12:5 2.400
24\37 778.378 421.622 5:2 2.500 Semihard 3L 11s
61\94 778.723 421.277 13:5 2.600
37\57 778.947 421.053 8:3 2.667
50\77 779.221 420.779 11:4 2.750
13\20 780.000 420.000 3:1 3.000 Hard 3L 11s
41\63 780.952 419.048 10:3 3.333
28\43 781.395 418.605 7:2 3.500
43\66 781.818 418.182 11:3 3.667
15\23 782.609 417.391 4:1 4.000 Superhard 3L 11s
32\49 783.673 416.327 9:2 4.500
17\26 784.615 415.385 5:1 5.000
19\29 786.207 413.793 6:1 6.000
2\3 800.000 400.000 1:0 → ∞ Collapsed 3L 11s