6L 6s

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↖ 5L 5s ↑ 6L 5s 7L 5s ↗
← 5L 6s 6L 6s 7L 6s →
↙ 5L 7s ↓ 6L 7s 7L 7s ↘ 
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││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLsLs
sLsLsLsLsLsL
Equave 2/1 (1200.0¢)
Period 1\6 (200.0¢)
Generator size
Bright 1\12 to 1\6 (100.0¢ to 200.0¢)
Dark 0\6 to 1\12 (0.0¢ to 100.0¢)
Related MOS scales
Parent 6L 0s
Sister 6L 6s
Daughters 12L 6s, 6L 12s
Neutralized 12L 0s
2-Flought 18L 6s, 6L 18s
Equal tunings
Equalized (L:s = 1:1) 1\12 (100.0¢)
Supersoft (L:s = 4:3) 4\42 (114.3¢)
Soft (L:s = 3:2) 3\30 (120.0¢)
Semisoft (L:s = 5:3) 5\48 (125.0¢)
Basic (L:s = 2:1) 2\18 (133.3¢)
Semihard (L:s = 5:2) 5\42 (142.9¢)
Hard (L:s = 3:1) 3\24 (150.0¢)
Superhard (L:s = 4:1) 4\30 (160.0¢)
Collapsed (L:s = 1:0) 1\6 (200.0¢)

6L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 6 small steps, with a period of 1 large step and 1 small step that repeats every 200.0¢, or 6 times every octave. Generators that produce this scale range from 100¢ to 200¢, or from 0¢ to 100¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

6L 6s represents the bi-equal chromatic scale of Hexe temperament.

Modes

Modes of 6L 6s
UDP Cyclic
order		 Step
pattern
6|0(6) 1 LsLsLsLsLsLs
0|6(6) 2 sLsLsLsLsLsL

Intervals

Intervals of 6L 6s
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 100.0¢
Major 1-mosstep M1ms L 100.0¢ to 200.0¢
2-mosstep Perfect 2-mosstep P2ms L + s 200.0¢
3-mosstep Minor 3-mosstep m3ms L + 2s 200.0¢ to 300.0¢
Major 3-mosstep M3ms 2L + s 300.0¢ to 400.0¢
4-mosstep Perfect 4-mosstep P4ms 2L + 2s 400.0¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 400.0¢ to 500.0¢
Major 5-mosstep M5ms 3L + 2s 500.0¢ to 600.0¢
6-mosstep Perfect 6-mosstep P6ms 3L + 3s 600.0¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 600.0¢ to 700.0¢
Major 7-mosstep M7ms 4L + 3s 700.0¢ to 800.0¢
8-mosstep Perfect 8-mosstep P8ms 4L + 4s 800.0¢
9-mosstep Minor 9-mosstep m9ms 4L + 5s 800.0¢ to 900.0¢
Major 9-mosstep M9ms 5L + 4s 900.0¢ to 1000.0¢
10-mosstep Perfect 10-mosstep P10ms 5L + 5s 1000.0¢
11-mosstep Minor 11-mosstep m11ms 5L + 6s 1000.0¢ to 1100.0¢
Major 11-mosstep M11ms 6L + 5s 1100.0¢ to 1200.0¢
12-mosstep Perfect 12-mosstep P12ms 6L + 6s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 6L 6s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\12 100.000 100.000 1:1 1.000 Equalized 6L 6s
6\66 109.091 90.909 6:5 1.200 ↑ Semimist
5\54 111.111 88.889 5:4 1.250 Optimal hexe
9\96 112.500 87.500 9:7 1.286
4\42 114.286 85.714 4:3 1.333 Supersoft 6L 6s
11\114 115.789 84.211 11:8 1.375
7\72 116.667 83.333 7:5 1.400
10\102 117.647 82.353 10:7 1.429
3\30 120.000 80.000 3:2 1.500 Soft 6L 6s
11\108 122.222 77.778 11:7 1.571
8\78 123.077 76.923 8:5 1.600
13\126 123.810 76.190 13:8 1.625 Unnamed golden tuning
5\48 125.000 75.000 5:3 1.667 Semisoft 6L 6s
12\114 126.316 73.684 12:7 1.714
7\66 127.273 72.727 7:4 1.750
9\84 128.571 71.429 9:5 1.800
2\18 133.333 66.667 2:1 2.000 Basic 6L 6s
9\78 138.462 61.538 9:4 2.250
7\60 140.000 60.000 7:3 2.333
12\102 141.176 58.824 12:5 2.400
5\42 142.857 57.143 5:2 2.500 Semihard 6L 6s
13\108 144.444 55.556 13:5 2.600 Unnamed golden tuning
8\66 145.455 54.545 8:3 2.667
11\90 146.667 53.333 11:4 2.750
3\24 150.000 50.000 3:1 3.000 Hard 6L 6s
10\78 153.846 46.154 10:3 3.333
7\54 155.556 44.444 7:2 3.500
11\84 157.143 42.857 11:3 3.667
4\30 160.000 40.000 4:1 4.000 Superhard 6L 6s
9\66 163.636 36.364 9:2 4.500
5\36 166.667 33.333 5:1 5.000
6\42 171.429 28.571 6:1 6.000
1\6 200.000 0.000 1:0 → ∞ Collapsed 6L 6s
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