6L 12s

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↖ 5L 11s ↑ 6L 11s 7L 11s ↗
← 5L 12s 6L 12s 7L 12s →
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Scale structure
Step pattern LssLssLssLssLssLss
ssLssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 1\6 (200.0 ¢)
Generator size
Bright 2\18 to 1\6 (133.3 ¢ to 200.0 ¢)
Dark 0\6 to 1\18 (0.0 ¢ to 66.7 ¢)
TAMNAMS information
Related to 6L 6s
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 6L 6s
Sister 12L 6s
Daughters 18L 6s, 6L 18s
Neutralized 12L 6s
2-Flought 24L 12s, 6L 30s
Equal tunings
Equalized (L:s = 1:1) 2\18 (133.3 ¢)
Supersoft (L:s = 4:3) 7\60 (140.0 ¢)
Soft (L:s = 3:2) 5\42 (142.9 ¢)
Semisoft (L:s = 5:3) 8\66 (145.5 ¢)
Basic (L:s = 2:1) 3\24 (150.0 ¢)
Semihard (L:s = 5:2) 7\54 (155.6 ¢)
Hard (L:s = 3:1) 4\30 (160.0 ¢)
Superhard (L:s = 4:1) 5\36 (166.7 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)

6L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 12 small steps, with a period of 1 large step and 2 small steps that repeats every 200.0 ¢, or 6 times every octave. 6L 12s is a child scale of 6L 6s, expanding it by 6 tones. Generators that produce this scale range from 133.3 ¢ to 200 ¢, or from 0 ¢ to 66.7 ¢.

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 12s
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 66.7 ¢
Augmented 1-mosstep A1ms L 66.7 ¢ to 200.0 ¢
2-mosstep Diminished 2-mosstep d2ms 2s 0.0 ¢ to 133.3 ¢
Perfect 2-mosstep P2ms L + s 133.3 ¢ to 200.0 ¢
3-mosstep Perfect 3-mosstep P3ms L + 2s 200.0 ¢
4-mosstep Perfect 4-mosstep P4ms L + 3s 200.0 ¢ to 266.7 ¢
Augmented 4-mosstep A4ms 2L + 2s 266.7 ¢ to 400.0 ¢
5-mosstep Diminished 5-mosstep d5ms L + 4s 200.0 ¢ to 333.3 ¢
Perfect 5-mosstep P5ms 2L + 3s 333.3 ¢ to 400.0 ¢
6-mosstep Perfect 6-mosstep P6ms 2L + 4s 400.0 ¢
7-mosstep Perfect 7-mosstep P7ms 2L + 5s 400.0 ¢ to 466.7 ¢
Augmented 7-mosstep A7ms 3L + 4s 466.7 ¢ to 600.0 ¢
8-mosstep Diminished 8-mosstep d8ms 2L + 6s 400.0 ¢ to 533.3 ¢
Perfect 8-mosstep P8ms 3L + 5s 533.3 ¢ to 600.0 ¢
9-mosstep Perfect 9-mosstep P9ms 3L + 6s 600.0 ¢
10-mosstep Perfect 10-mosstep P10ms 3L + 7s 600.0 ¢ to 666.7 ¢
Augmented 10-mosstep A10ms 4L + 6s 666.7 ¢ to 800.0 ¢
11-mosstep Diminished 11-mosstep d11ms 3L + 8s 600.0 ¢ to 733.3 ¢
Perfect 11-mosstep P11ms 4L + 7s 733.3 ¢ to 800.0 ¢
12-mosstep Perfect 12-mosstep P12ms 4L + 8s 800.0 ¢
13-mosstep Perfect 13-mosstep P13ms 4L + 9s 800.0 ¢ to 866.7 ¢
Augmented 13-mosstep A13ms 5L + 8s 866.7 ¢ to 1000.0 ¢
14-mosstep Diminished 14-mosstep d14ms 4L + 10s 800.0 ¢ to 933.3 ¢
Perfect 14-mosstep P14ms 5L + 9s 933.3 ¢ to 1000.0 ¢
15-mosstep Perfect 15-mosstep P15ms 5L + 10s 1000.0 ¢
16-mosstep Perfect 16-mosstep P16ms 5L + 11s 1000.0 ¢ to 1066.7 ¢
Augmented 16-mosstep A16ms 6L + 10s 1066.7 ¢ to 1200.0 ¢
17-mosstep Diminished 17-mosstep d17ms 5L + 12s 1000.0 ¢ to 1133.3 ¢
Perfect 17-mosstep P17ms 6L + 11s 1133.3 ¢ to 1200.0 ¢
18-mosstep Perfect 18-mosstep P18ms 6L + 12s 1200.0 ¢

Generator chain

Generator chain of 6L 12s
Bright gens Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev. Scale degree Abbrev.
3 Augmented 0-mosdegree A0md Augmented 3-mosdegree A3md Augmented 6-mosdegree A6md Augmented 9-mosdegree A9md Augmented 12-mosdegree A12md Augmented 15-mosdegree A15md
2 Augmented 1-mosdegree A1md Augmented 4-mosdegree A4md Augmented 7-mosdegree A7md Augmented 10-mosdegree A10md Augmented 13-mosdegree A13md Augmented 16-mosdegree A16md
1 Perfect 2-mosdegree P2md Perfect 5-mosdegree P5md Perfect 8-mosdegree P8md Perfect 11-mosdegree P11md Perfect 14-mosdegree P14md Perfect 17-mosdegree P17md
0 Perfect 0-mosdegree
Perfect 3-mosdegree		 P0md
P3md		 Perfect 3-mosdegree
Perfect 6-mosdegree		 P3md
P6md		 Perfect 6-mosdegree
Perfect 9-mosdegree		 P6md
P9md		 Perfect 9-mosdegree
Perfect 12-mosdegree		 P9md
P12md		 Perfect 12-mosdegree
Perfect 15-mosdegree		 P12md
P15md		 Perfect 15-mosdegree
Perfect 18-mosdegree		 P15md
P18md
−1 Perfect 1-mosdegree P1md Perfect 4-mosdegree P4md Perfect 7-mosdegree P7md Perfect 10-mosdegree P10md Perfect 13-mosdegree P13md Perfect 16-mosdegree P16md
−2 Diminished 2-mosdegree d2md Diminished 5-mosdegree d5md Diminished 8-mosdegree d8md Diminished 11-mosdegree d11md Diminished 14-mosdegree d14md Diminished 17-mosdegree d17md
−3 Diminished 3-mosdegree d3md Diminished 6-mosdegree d6md Diminished 9-mosdegree d9md Diminished 12-mosdegree d12md Diminished 15-mosdegree d15md Diminished 18-mosdegree d18md

Modes

Scale degrees of the modes of 6L 12s
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
12|0(6) 1 LssLssLssLssLssLss Perf. Aug. Perf. Perf. Aug. Perf. Perf. Aug. Perf. Perf. Aug. Perf. Perf. Aug. Perf. Perf. Aug. Perf. Perf.
6|6(6) 3 sLssLssLssLssLssLs Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf. Perf.
0|12(6) 2 ssLssLssLssLssLssL Perf. Perf. Dim. Perf. Perf. Dim. Perf. Perf. Dim. Perf. Perf. Dim. Perf. Perf. Dim. Perf. Perf. Dim. Perf.

Scale tree

Scale tree and tuning spectrum of 6L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\18 133.333 66.667 1:1 1.000 Equalized 6L 12s
11\96 137.500 62.500 6:5 1.200
9\78 138.462 61.538 5:4 1.250
16\138 139.130 60.870 9:7 1.286
7\60 140.000 60.000 4:3 1.333 Supersoft 6L 12s
19\162 140.741 59.259 11:8 1.375
12\102 141.176 58.824 7:5 1.400
17\144 141.667 58.333 10:7 1.429
5\42 142.857 57.143 3:2 1.500 Soft 6L 12s
18\150 144.000 56.000 11:7 1.571
13\108 144.444 55.556 8:5 1.600
21\174 144.828 55.172 13:8 1.625
8\66 145.455 54.545 5:3 1.667 Semisoft 6L 12s
19\156 146.154 53.846 12:7 1.714
11\90 146.667 53.333 7:4 1.750
14\114 147.368 52.632 9:5 1.800
3\24 150.000 50.000 2:1 2.000 Basic 6L 12s
Scales with tunings softer than this are proper
13\102 152.941 47.059 9:4 2.250
10\78 153.846 46.154 7:3 2.333
17\132 154.545 45.455 12:5 2.400
7\54 155.556 44.444 5:2 2.500 Semihard 6L 12s
18\138 156.522 43.478 13:5 2.600
11\84 157.143 42.857 8:3 2.667
15\114 157.895 42.105 11:4 2.750
4\30 160.000 40.000 3:1 3.000 Hard 6L 12s
13\96 162.500 37.500 10:3 3.333
9\66 163.636 36.364 7:2 3.500
14\102 164.706 35.294 11:3 3.667
5\36 166.667 33.333 4:1 4.000 Superhard 6L 12s
11\78 169.231 30.769 9:2 4.500
6\42 171.429 28.571 5:1 5.000
7\48 175.000 25.000 6:1 6.000
1\6 200.000 0.000 1:0 → ∞ Collapsed 6L 12s
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