6L 18s
Jump to navigation
Jump to search
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¢)
↖ 5L 17s | ↑ 6L 17s | 7L 17s ↗ |
← 5L 18s | 6L 18s | 7L 18s → |
↙ 5L 19s | ↓ 6L 19s | 7L 19s ↘ |
┌╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐ │║│││║│││║│││║│││║│││║││││ ││││││││││││││││││││││││││ └┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
sssLsssLsssLsssLsssLsssL
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
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 | 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
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 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |