6L 11s

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↖ 5L 10s ↑ 6L 10s 7L 10s ↗
← 5L 11s 6L 11s 7L 11s →
↙ 5L 12s ↓ 6L 12s 7L 12s ↘ 
┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐
│║│║││║││║││║││║│││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLssLssLssLss
ssLssLssLssLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 14\17 to 5\6 (988.2 ¢ to 1000.0 ¢)
Dark 1\6 to 3\17 (200.0 ¢ to 211.8 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 6L 5s
Sister 11L 6s
Daughters 17L 6s, 6L 17s
Neutralized 12L 5s
2-Flought 23L 11s, 6L 28s
Equal tunings
Equalized (L:s = 1:1) 14\17 (988.2 ¢)
Supersoft (L:s = 4:3) 47\57 (989.5 ¢)
Soft (L:s = 3:2) 33\40 (990.0 ¢)
Semisoft (L:s = 5:3) 52\63 (990.5 ¢)
Basic (L:s = 2:1) 19\23 (991.3 ¢)
Semihard (L:s = 5:2) 43\52 (992.3 ¢)
Hard (L:s = 3:1) 24\29 (993.1 ¢)
Superhard (L:s = 4:1) 29\35 (994.3 ¢)
Collapsed (L:s = 1:0) 5\6 (1000.0 ¢)

6L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 11 small steps, repeating every octave. 6L 11s is a grandchild scale of 5L 1s, expanding it by 11 tones. Generators that produce this scale range from 988.2 ¢ to 1000 ¢, or from 200 ¢ to 211.8 ¢.

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 interval regions.

Intervals

Intervals of 6L 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 70.6 ¢
Major 1-mosstep M1ms L 70.6 ¢ to 200.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 141.2 ¢
Major 2-mosstep M2ms L + s 141.2 ¢ to 200.0 ¢
3-mosstep Perfect 3-mosstep P3ms L + 2s 200.0 ¢ to 211.8 ¢
Augmented 3-mosstep A3ms 2L + s 211.8 ¢ to 400.0 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 200.0 ¢ to 282.4 ¢
Major 4-mosstep M4ms 2L + 2s 282.4 ¢ to 400.0 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 200.0 ¢ to 352.9 ¢
Major 5-mosstep M5ms 2L + 3s 352.9 ¢ to 400.0 ¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 400.0 ¢ to 423.5 ¢
Major 6-mosstep M6ms 3L + 3s 423.5 ¢ to 600.0 ¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 400.0 ¢ to 494.1 ¢
Major 7-mosstep M7ms 3L + 4s 494.1 ¢ to 600.0 ¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 400.0 ¢ to 564.7 ¢
Major 8-mosstep M8ms 3L + 5s 564.7 ¢ to 600.0 ¢
9-mosstep Minor 9-mosstep m9ms 3L + 6s 600.0 ¢ to 635.3 ¢
Major 9-mosstep M9ms 4L + 5s 635.3 ¢ to 800.0 ¢
10-mosstep Minor 10-mosstep m10ms 3L + 7s 600.0 ¢ to 705.9 ¢
Major 10-mosstep M10ms 4L + 6s 705.9 ¢ to 800.0 ¢
11-mosstep Minor 11-mosstep m11ms 3L + 8s 600.0 ¢ to 776.5 ¢
Major 11-mosstep M11ms 4L + 7s 776.5 ¢ to 800.0 ¢
12-mosstep Minor 12-mosstep m12ms 4L + 8s 800.0 ¢ to 847.1 ¢
Major 12-mosstep M12ms 5L + 7s 847.1 ¢ to 1000.0 ¢
13-mosstep Minor 13-mosstep m13ms 4L + 9s 800.0 ¢ to 917.6 ¢
Major 13-mosstep M13ms 5L + 8s 917.6 ¢ to 1000.0 ¢
14-mosstep Diminished 14-mosstep d14ms 4L + 10s 800.0 ¢ to 988.2 ¢
Perfect 14-mosstep P14ms 5L + 9s 988.2 ¢ to 1000.0 ¢
15-mosstep Minor 15-mosstep m15ms 5L + 10s 1000.0 ¢ to 1058.8 ¢
Major 15-mosstep M15ms 6L + 9s 1058.8 ¢ to 1200.0 ¢
16-mosstep Minor 16-mosstep m16ms 5L + 11s 1000.0 ¢ to 1129.4 ¢
Major 16-mosstep M16ms 6L + 10s 1129.4 ¢ to 1200.0 ¢
17-mosstep Perfect 17-mosstep P17ms 6L + 11s 1200.0 ¢

Generator chain

Generator chain of 6L 11s
Bright gens Scale degree Abbrev.
22 Augmented 2-mosdegree A2md
21 Augmented 5-mosdegree A5md
20 Augmented 8-mosdegree A8md
19 Augmented 11-mosdegree A11md
18 Augmented 14-mosdegree A14md
17 Augmented 0-mosdegree A0md
16 Augmented 3-mosdegree A3md
15 Major 6-mosdegree M6md
14 Major 9-mosdegree M9md
13 Major 12-mosdegree M12md
12 Major 15-mosdegree M15md
11 Major 1-mosdegree M1md
10 Major 4-mosdegree M4md
9 Major 7-mosdegree M7md
8 Major 10-mosdegree M10md
7 Major 13-mosdegree M13md
6 Major 16-mosdegree M16md
5 Major 2-mosdegree M2md
4 Major 5-mosdegree M5md
3 Major 8-mosdegree M8md
2 Major 11-mosdegree M11md
1 Perfect 14-mosdegree P14md
0 Perfect 0-mosdegree
Perfect 17-mosdegree		 P0md
P17md
−1 Perfect 3-mosdegree P3md
−2 Minor 6-mosdegree m6md
−3 Minor 9-mosdegree m9md
−4 Minor 12-mosdegree m12md
−5 Minor 15-mosdegree m15md
−6 Minor 1-mosdegree m1md
−7 Minor 4-mosdegree m4md
−8 Minor 7-mosdegree m7md
−9 Minor 10-mosdegree m10md
−10 Minor 13-mosdegree m13md
−11 Minor 16-mosdegree m16md
−12 Minor 2-mosdegree m2md
−13 Minor 5-mosdegree m5md
−14 Minor 8-mosdegree m8md
−15 Minor 11-mosdegree m11md
−16 Diminished 14-mosdegree d14md
−17 Diminished 17-mosdegree d17md
−18 Diminished 3-mosdegree d3md
−19 Diminished 6-mosdegree d6md
−20 Diminished 9-mosdegree d9md
−21 Diminished 12-mosdegree d12md
−22 Diminished 15-mosdegree d15md

Modes

Scale degrees of the modes of 6L 11s
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
16|0 1 LsLssLssLssLssLss Perf. Maj. Maj. Aug. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Perf.
15|1 15 LssLsLssLssLssLss Perf. Maj. Maj. Perf. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Perf.
14|2 12 LssLssLsLssLssLss Perf. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Maj. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Perf.
13|3 9 LssLssLssLsLssLss Perf. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Maj. Maj. Perf. Maj. Maj. Perf.
12|4 6 LssLssLssLssLsLss Perf. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Perf. Maj. Maj. Perf.
11|5 3 LssLssLssLssLssLs Perf. Maj. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Perf. Min. Maj. Perf.
10|6 17 sLsLssLssLssLssLs Perf. Min. Maj. Perf. Maj. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Perf. Min. Maj. Perf.
9|7 14 sLssLsLssLssLssLs Perf. Min. Maj. Perf. Min. Maj. Min. Maj. Maj. Min. Maj. Maj. Min. Maj. Perf. Min. Maj. Perf.
8|8 11 sLssLssLsLssLssLs Perf. Min. Maj. Perf. Min. Maj. Min. Min. Maj. Min. Maj. Maj. Min. Maj. Perf. Min. Maj. Perf.
7|9 8 sLssLssLssLsLssLs Perf. Min. Maj. Perf. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Maj. Perf. Min. Maj. Perf.
6|10 5 sLssLssLssLssLsLs Perf. Min. Maj. Perf. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Min. Maj. Perf.
5|11 2 sLssLssLssLssLssL Perf. Min. Maj. Perf. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Perf.
4|12 16 ssLsLssLssLssLssL Perf. Min. Min. Perf. Min. Maj. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Perf.
3|13 13 ssLssLsLssLssLssL Perf. Min. Min. Perf. Min. Min. Min. Min. Maj. Min. Min. Maj. Min. Min. Perf. Min. Min. Perf.
2|14 10 ssLssLssLsLssLssL Perf. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Maj. Min. Min. Perf. Min. Min. Perf.
1|15 7 ssLssLssLssLsLssL Perf. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Perf. Min. Min. Perf.
0|16 4 ssLssLssLssLssLsL Perf. Min. Min. Perf. Min. Min. Min. Min. Min. Min. Min. Min. Min. Min. Dim. Min. Min. Perf.

Scale tree

Scale tree and tuning spectrum of 6L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
14\17 988.235 211.765 1:1 1.000 Equalized 6L 11s
75\91 989.011 210.989 6:5 1.200
61\74 989.189 210.811 5:4 1.250
108\131 989.313 210.687 9:7 1.286
47\57 989.474 210.526 4:3 1.333 Supersoft 6L 11s
127\154 989.610 210.390 11:8 1.375
80\97 989.691 210.309 7:5 1.400
113\137 989.781 210.219 10:7 1.429
33\40 990.000 210.000 3:2 1.500 Soft 6L 11s
118\143 990.210 209.790 11:7 1.571
85\103 990.291 209.709 8:5 1.600
137\166 990.361 209.639 13:8 1.625
52\63 990.476 209.524 5:3 1.667 Semisoft 6L 11s
123\149 990.604 209.396 12:7 1.714
71\86 990.698 209.302 7:4 1.750
90\109 990.826 209.174 9:5 1.800
19\23 991.304 208.696 2:1 2.000 Basic 6L 11s
Scales with tunings softer than this are proper
81\98 991.837 208.163 9:4 2.250
62\75 992.000 208.000 7:3 2.333
105\127 992.126 207.874 12:5 2.400
43\52 992.308 207.692 5:2 2.500 Semihard 6L 11s
110\133 992.481 207.519 13:5 2.600
67\81 992.593 207.407 8:3 2.667
91\110 992.727 207.273 11:4 2.750
24\29 993.103 206.897 3:1 3.000 Hard 6L 11s
77\93 993.548 206.452 10:3 3.333
53\64 993.750 206.250 7:2 3.500
82\99 993.939 206.061 11:3 3.667
29\35 994.286 205.714 4:1 4.000 Superhard 6L 11s
63\76 994.737 205.263 9:2 4.500
34\41 995.122 204.878 5:1 5.000
39\47 995.745 204.255 6:1 6.000
5\6 1000.000 200.000 1:0 → ∞ Collapsed 6L 11s
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