11L 8s

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↖ 10L 7s ↑ 11L 7s 12L 7s ↗
← 10L 8s 11L 8s 12L 8s →
↙ 10L 9s ↓ 11L 9s 12L 9s ↘ 
┌╥╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥┬┐
│║║│║│║║│║│║│║║│║│║││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLLsLsLsLLsLsLs
sLsLsLLsLsLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 12\19 to 7\11 (757.9 ¢ to 763.6 ¢)
Dark 4\11 to 7\19 (436.4 ¢ to 442.1 ¢)
TAMNAMS information
Descends from 3L 5s (checkertonic)
Ancestor's step ratio range 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 8L 3s
Sister 8L 11s
Daughters 19L 11s, 11L 19s
Neutralized 3L 16s
2-Flought 30L 8s, 11L 27s
Equal tunings
Equalized (L:s = 1:1) 12\19 (757.9 ¢)
Supersoft (L:s = 4:3) 43\68 (758.8 ¢)
Soft (L:s = 3:2) 31\49 (759.2 ¢)
Semisoft (L:s = 5:3) 50\79 (759.5 ¢)
Basic (L:s = 2:1) 19\30 (760.0 ¢)
Semihard (L:s = 5:2) 45\71 (760.6 ¢)
Hard (L:s = 3:1) 26\41 (761.0 ¢)
Superhard (L:s = 4:1) 33\52 (761.5 ¢)
Collapsed (L:s = 1:0) 7\11 (763.6 ¢)

11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9 ¢ to 763.6 ¢, or from 436.4 ¢ to 442.1 ¢.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.

Intervals

Intervals of 11L 8s
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 109.1 ¢
2-mosstep Minor 2-mosstep m2ms L + s 109.1 ¢ to 126.3 ¢
Major 2-mosstep M2ms 2L 126.3 ¢ to 218.2 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 109.1 ¢ to 189.5 ¢
Major 3-mosstep M3ms 2L + s 189.5 ¢ to 218.2 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 218.2 ¢ to 252.6 ¢
Major 4-mosstep M4ms 3L + s 252.6 ¢ to 327.3 ¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 218.2 ¢ to 315.8 ¢
Major 5-mosstep M5ms 3L + 2s 315.8 ¢ to 327.3 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 327.3 ¢ to 378.9 ¢
Major 6-mosstep M6ms 4L + 2s 378.9 ¢ to 436.4 ¢
7-mosstep Perfect 7-mosstep P7ms 4L + 3s 436.4 ¢ to 442.1 ¢
Augmented 7-mosstep A7ms 5L + 2s 442.1 ¢ to 545.5 ¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 436.4 ¢ to 505.3 ¢
Major 8-mosstep M8ms 5L + 3s 505.3 ¢ to 545.5 ¢
9-mosstep Minor 9-mosstep m9ms 5L + 4s 545.5 ¢ to 568.4 ¢
Major 9-mosstep M9ms 6L + 3s 568.4 ¢ to 654.5 ¢
10-mosstep Minor 10-mosstep m10ms 5L + 5s 545.5 ¢ to 631.6 ¢
Major 10-mosstep M10ms 6L + 4s 631.6 ¢ to 654.5 ¢
11-mosstep Minor 11-mosstep m11ms 6L + 5s 654.5 ¢ to 694.7 ¢
Major 11-mosstep M11ms 7L + 4s 694.7 ¢ to 763.6 ¢
12-mosstep Diminished 12-mosstep d12ms 6L + 6s 654.5 ¢ to 757.9 ¢
Perfect 12-mosstep P12ms 7L + 5s 757.9 ¢ to 763.6 ¢
13-mosstep Minor 13-mosstep m13ms 7L + 6s 763.6 ¢ to 821.1 ¢
Major 13-mosstep M13ms 8L + 5s 821.1 ¢ to 872.7 ¢
14-mosstep Minor 14-mosstep m14ms 8L + 6s 872.7 ¢ to 884.2 ¢
Major 14-mosstep M14ms 9L + 5s 884.2 ¢ to 981.8 ¢
15-mosstep Minor 15-mosstep m15ms 8L + 7s 872.7 ¢ to 947.4 ¢
Major 15-mosstep M15ms 9L + 6s 947.4 ¢ to 981.8 ¢
16-mosstep Minor 16-mosstep m16ms 9L + 7s 981.8 ¢ to 1010.5 ¢
Major 16-mosstep M16ms 10L + 6s 1010.5 ¢ to 1090.9 ¢
17-mosstep Minor 17-mosstep m17ms 9L + 8s 981.8 ¢ to 1073.7 ¢
Major 17-mosstep M17ms 10L + 7s 1073.7 ¢ to 1090.9 ¢
18-mosstep Minor 18-mosstep m18ms 10L + 8s 1090.9 ¢ to 1136.8 ¢
Major 18-mosstep M18ms 11L + 7s 1136.8 ¢ to 1200.0 ¢
19-mosstep Perfect 19-mosstep P19ms 11L + 8s 1200.0 ¢

Generator chain

Generator chain of 11L 8s
Bright gens Scale degree Abbrev.
29 Augmented 6-mosdegree A6md
28 Augmented 13-mosdegree A13md
27 Augmented 1-mosdegree A1md
26 Augmented 8-mosdegree A8md
25 Augmented 15-mosdegree A15md
24 Augmented 3-mosdegree A3md
23 Augmented 10-mosdegree A10md
22 Augmented 17-mosdegree A17md
21 Augmented 5-mosdegree A5md
20 Augmented 12-mosdegree A12md
19 Augmented 0-mosdegree A0md
18 Augmented 7-mosdegree A7md
17 Major 14-mosdegree M14md
16 Major 2-mosdegree M2md
15 Major 9-mosdegree M9md
14 Major 16-mosdegree M16md
13 Major 4-mosdegree M4md
12 Major 11-mosdegree M11md
11 Major 18-mosdegree M18md
10 Major 6-mosdegree M6md
9 Major 13-mosdegree M13md
8 Major 1-mosdegree M1md
7 Major 8-mosdegree M8md
6 Major 15-mosdegree M15md
5 Major 3-mosdegree M3md
4 Major 10-mosdegree M10md
3 Major 17-mosdegree M17md
2 Major 5-mosdegree M5md
1 Perfect 12-mosdegree P12md
0 Perfect 0-mosdegree
Perfect 19-mosdegree		 P0md
P19md
−1 Perfect 7-mosdegree P7md
−2 Minor 14-mosdegree m14md
−3 Minor 2-mosdegree m2md
−4 Minor 9-mosdegree m9md
−5 Minor 16-mosdegree m16md
−6 Minor 4-mosdegree m4md
−7 Minor 11-mosdegree m11md
−8 Minor 18-mosdegree m18md
−9 Minor 6-mosdegree m6md
−10 Minor 13-mosdegree m13md
−11 Minor 1-mosdegree m1md
−12 Minor 8-mosdegree m8md
−13 Minor 15-mosdegree m15md
−14 Minor 3-mosdegree m3md
−15 Minor 10-mosdegree m10md
−16 Minor 17-mosdegree m17md
−17 Minor 5-mosdegree m5md
−18 Diminished 12-mosdegree d12md
−19 Diminished 19-mosdegree d19md
−20 Diminished 7-mosdegree d7md
−21 Diminished 14-mosdegree d14md
−22 Diminished 2-mosdegree d2md
−23 Diminished 9-mosdegree d9md
−24 Diminished 16-mosdegree d16md
−25 Diminished 4-mosdegree d4md
−26 Diminished 11-mosdegree d11md
−27 Diminished 18-mosdegree d18md
−28 Diminished 6-mosdegree d6md
−29 Diminished 13-mosdegree d13md

Modes

Scale degrees of the modes of 11L 8s
UDP Cyclic
order		 Step
pattern		 Scale degree (mosdegree)
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
18|0 1 LLsLsLLsLsLsLLsLsLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Aug. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
17|1 13 LLsLsLsLLsLsLLsLsLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf.
16|2 6 LLsLsLsLLsLsLsLLsLs Perf. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Perf. Maj. Min. Maj. Maj. Maj. Maj. Perf.
15|3 18 LsLLsLsLLsLsLsLLsLs Perf. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Perf. Maj. Min. Maj. Maj. Maj. Maj. Perf.
14|4 11 LsLLsLsLsLLsLsLLsLs Perf. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Maj. Maj. Perf.
13|5 4 LsLLsLsLsLLsLsLsLLs Perf. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Min. Maj. Maj. Perf.
12|6 16 LsLsLLsLsLLsLsLsLLs Perf. Maj. Min. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Min. Maj. Maj. Perf.
11|7 9 LsLsLLsLsLsLLsLsLLs Perf. Maj. Min. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Maj. Maj. Perf.
10|8 2 LsLsLLsLsLsLLsLsLsL Perf. Maj. Min. Maj. Min. Maj. Maj. Perf. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Maj. Min. Perf.
9|9 14 LsLsLsLLsLsLLsLsLsL Perf. Maj. Min. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Maj. Min. Perf.
8|10 7 LsLsLsLLsLsLsLLsLsL Perf. Maj. Min. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Perf. Min. Min. Maj. Min. Maj. Min. Perf.
7|11 19 sLLsLsLLsLsLsLLsLsL Perf. Min. Min. Maj. Min. Maj. Min. Perf. Maj. Min. Maj. Min. Perf. Min. Min. Maj. Min. Maj. Min. Perf.
6|12 12 sLLsLsLsLLsLsLLsLsL Perf. Min. Min. Maj. Min. Maj. Min. Perf. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Maj. Min. Perf.
5|13 5 sLLsLsLsLLsLsLsLLsL Perf. Min. Min. Maj. Min. Maj. Min. Perf. Min. Min. Maj. Min. Perf. Min. Min. Min. Min. Maj. Min. Perf.
4|14 17 sLsLLsLsLLsLsLsLLsL Perf. Min. Min. Min. Min. Maj. Min. Perf. Min. Min. Maj. Min. Perf. Min. Min. Min. Min. Maj. Min. Perf.
3|15 10 sLsLLsLsLsLLsLsLLsL Perf. Min. Min. Min. Min. Maj. Min. Perf. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Maj. Min. Perf.
2|16 3 sLsLLsLsLsLLsLsLsLL Perf. Min. Min. Min. Min. Maj. Min. Perf. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Perf.
1|17 15 sLsLsLLsLsLLsLsLsLL Perf. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Perf.
0|18 8 sLsLsLLsLsLsLLsLsLL Perf. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Min. Min. Dim. Min. Min. Min. Min. Min. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 11L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
12\19 757.895 442.105 1:1 1.000 Equalized 11L 8s
67\106 758.491 441.509 6:5 1.200
55\87 758.621 441.379 5:4 1.250
98\155 758.710 441.290 9:7 1.286
43\68 758.824 441.176 4:3 1.333 Supersoft 11L 8s
117\185 758.919 441.081 11:8 1.375
74\117 758.974 441.026 7:5 1.400
105\166 759.036 440.964 10:7 1.429
31\49 759.184 440.816 3:2 1.500 Soft 11L 8s
112\177 759.322 440.678 11:7 1.571
81\128 759.375 440.625 8:5 1.600
131\207 759.420 440.580 13:8 1.625
50\79 759.494 440.506 5:3 1.667 Semisoft 11L 8s
119\188 759.574 440.426 12:7 1.714
69\109 759.633 440.367 7:4 1.750
88\139 759.712 440.288 9:5 1.800
19\30 760.000 440.000 2:1 2.000 Basic 11L 8s
Scales with tunings softer than this are proper
83\131 760.305 439.695 9:4 2.250
64\101 760.396 439.604 7:3 2.333
109\172 760.465 439.535 12:5 2.400
45\71 760.563 439.437 5:2 2.500 Semihard 11L 8s
116\183 760.656 439.344 13:5 2.600
71\112 760.714 439.286 8:3 2.667
97\153 760.784 439.216 11:4 2.750
26\41 760.976 439.024 3:1 3.000 Hard 11L 8s
85\134 761.194 438.806 10:3 3.333
59\93 761.290 438.710 7:2 3.500
92\145 761.379 438.621 11:3 3.667
33\52 761.538 438.462 4:1 4.000 Superhard 11L 8s
73\115 761.739 438.261 9:2 4.500
40\63 761.905 438.095 5:1 5.000
47\74 762.162 437.838 6:1 6.000
7\11 763.636 436.364 1:0 → ∞ Collapsed 11L 8s
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