6L 18s

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↖ 5L 17s ↑ 6L 17s 7L 17s ↗
← 5L 18s 6L 18s 7L 18s →
↙ 5L 19s ↓ 6L 19s 7L 19s ↘
┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐
│║│││║│││║│││║│││║│││║││││
││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsssLsssLsssLsssLsssLsss
sssLsssLsssLsssLsssLsssL
Equave 2/1 (1200.0¢)
Period 1\6 (200.0¢)
Generator size
Bright 3\24 to 1\6 (150.0¢ to 200.0¢)
Dark 0\6 to 1\24 (0.0¢ to 50.0¢)
TAMNAMS information
Descends from 6L 6s
Ancestor's step ratio range 3:1 to 1:0 (hard)
Related MOS scales
Parent 6L 12s
Sister 18L 6s
Daughters 24L 6s, 6L 24s
Neutralized 12L 12s
2-Flought 30L 18s, 6L 42s
Equal tunings
Equalized (L:s = 1:1) 3\24 (150.0¢)
Supersoft (L:s = 4:3) 10\78 (153.8¢)
Soft (L:s = 3:2) 7\54 (155.6¢)
Semisoft (L:s = 5:3) 11\84 (157.1¢)
Basic (L:s = 2:1) 4\30 (160.0¢)
Semihard (L:s = 5:2) 9\66 (163.6¢)
Hard (L:s = 3:1) 5\36 (166.7¢)
Superhard (L:s = 4:1) 6\42 (171.4¢)
Collapsed (L:s = 1:0) 1\6 (200.0¢)

6L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 18 small steps, with a period of 1 large step and 3 small steps that repeats every 200.0¢, or 6 times every octave. 6L 18s is a grandchild scale of 6L 6s, expanding it by 12 tones. Generators that produce this scale range from 150¢ to 200¢, or from 0¢ to 50¢.

Modes

Modes of 6L 18s
UDP Cyclic
order
Step
pattern
18|0(6) 1 LsssLsssLsssLsssLsssLsss
12|6(6) 4 sLsssLsssLsssLsssLsssLss
6|12(6) 3 ssLsssLsssLsssLsssLsssLs
0|18(6) 2 sssLsssLsssLsssLsssLsssL

Intervals

Intervals of 6L 18s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0¢
1-mosstep Perfect 1-mosstep P1ms s 0.0¢ to 50.0¢
Augmented 1-mosstep A1ms L 50.0¢ to 200.0¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0¢ to 100.0¢
Major 2-mosstep M2ms L + s 100.0¢ to 200.0¢
3-mosstep Diminished 3-mosstep d3ms 3s 0.0¢ to 150.0¢
Perfect 3-mosstep P3ms L + 2s 150.0¢ to 200.0¢
4-mosstep Perfect 4-mosstep P4ms L + 3s 200.0¢
5-mosstep Perfect 5-mosstep P5ms L + 4s 200.0¢ to 250.0¢
Augmented 5-mosstep A5ms 2L + 3s 250.0¢ to 400.0¢
6-mosstep Minor 6-mosstep m6ms L + 5s 200.0¢ to 300.0¢
Major 6-mosstep M6ms 2L + 4s 300.0¢ to 400.0¢
7-mosstep Diminished 7-mosstep d7ms L + 6s 200.0¢ to 350.0¢
Perfect 7-mosstep P7ms 2L + 5s 350.0¢ to 400.0¢
8-mosstep Perfect 8-mosstep P8ms 2L + 6s 400.0¢
9-mosstep Perfect 9-mosstep P9ms 2L + 7s 400.0¢ to 450.0¢
Augmented 9-mosstep A9ms 3L + 6s 450.0¢ to 600.0¢
10-mosstep Minor 10-mosstep m10ms 2L + 8s 400.0¢ to 500.0¢
Major 10-mosstep M10ms 3L + 7s 500.0¢ to 600.0¢
11-mosstep Diminished 11-mosstep d11ms 2L + 9s 400.0¢ to 550.0¢
Perfect 11-mosstep P11ms 3L + 8s 550.0¢ to 600.0¢
12-mosstep Perfect 12-mosstep P12ms 3L + 9s 600.0¢
13-mosstep Perfect 13-mosstep P13ms 3L + 10s 600.0¢ to 650.0¢
Augmented 13-mosstep A13ms 4L + 9s 650.0¢ to 800.0¢
14-mosstep Minor 14-mosstep m14ms 3L + 11s 600.0¢ to 700.0¢
Major 14-mosstep M14ms 4L + 10s 700.0¢ to 800.0¢
15-mosstep Diminished 15-mosstep d15ms 3L + 12s 600.0¢ to 750.0¢
Perfect 15-mosstep P15ms 4L + 11s 750.0¢ to 800.0¢
16-mosstep Perfect 16-mosstep P16ms 4L + 12s 800.0¢
17-mosstep Perfect 17-mosstep P17ms 4L + 13s 800.0¢ to 850.0¢
Augmented 17-mosstep A17ms 5L + 12s 850.0¢ to 1000.0¢
18-mosstep Minor 18-mosstep m18ms 4L + 14s 800.0¢ to 900.0¢
Major 18-mosstep M18ms 5L + 13s 900.0¢ to 1000.0¢
19-mosstep Diminished 19-mosstep d19ms 4L + 15s 800.0¢ to 950.0¢
Perfect 19-mosstep P19ms 5L + 14s 950.0¢ to 1000.0¢
20-mosstep Perfect 20-mosstep P20ms 5L + 15s 1000.0¢
21-mosstep Perfect 21-mosstep P21ms 5L + 16s 1000.0¢ to 1050.0¢
Augmented 21-mosstep A21ms 6L + 15s 1050.0¢ to 1200.0¢
22-mosstep Minor 22-mosstep m22ms 5L + 17s 1000.0¢ to 1100.0¢
Major 22-mosstep M22ms 6L + 16s 1100.0¢ to 1200.0¢
23-mosstep Diminished 23-mosstep d23ms 5L + 18s 1000.0¢ to 1150.0¢
Perfect 23-mosstep P23ms 6L + 17s 1150.0¢ to 1200.0¢
24-mosstep Perfect 24-mosstep P24ms 6L + 18s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 6L 18s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\24 150.000 50.000 1:1 1.000 Equalized 6L 18s
16\126 152.381 47.619 6:5 1.200
13\102 152.941 47.059 5:4 1.250
23\180 153.333 46.667 9:7 1.286
10\78 153.846 46.154 4:3 1.333 Supersoft 6L 18s
27\210 154.286 45.714 11:8 1.375
17\132 154.545 45.455 7:5 1.400
24\186 154.839 45.161 10:7 1.429
7\54 155.556 44.444 3:2 1.500 Soft 6L 18s
25\192 156.250 43.750 11:7 1.571
18\138 156.522 43.478 8:5 1.600
29\222 156.757 43.243 13:8 1.625
11\84 157.143 42.857 5:3 1.667 Semisoft 6L 18s
26\198 157.576 42.424 12:7 1.714
15\114 157.895 42.105 7:4 1.750
19\144 158.333 41.667 9:5 1.800
4\30 160.000 40.000 2:1 2.000 Basic 6L 18s
Scales with tunings softer than this are proper
17\126 161.905 38.095 9:4 2.250
13\96 162.500 37.500 7:3 2.333
22\162 162.963 37.037 12:5 2.400
9\66 163.636 36.364 5:2 2.500 Semihard 6L 18s
23\168 164.286 35.714 13:5 2.600
14\102 164.706 35.294 8:3 2.667
19\138 165.217 34.783 11:4 2.750
5\36 166.667 33.333 3:1 3.000 Hard 6L 18s
16\114 168.421 31.579 10:3 3.333
11\78 169.231 30.769 7:2 3.500
17\120 170.000 30.000 11:3 3.667
6\42 171.429 28.571 4:1 4.000 Superhard 6L 18s
13\90 173.333 26.667 9:2 4.500
7\48 175.000 25.000 5:1 5.000
8\54 177.778 22.222 6:1 6.000
1\6 200.000 0.000 1:0 → ∞ Collapsed 6L 18s


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