6L 6s

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6L 6s
Brightest mode LsLsLsLsLsLs
Period 1\6
Range for bright generator 1\12 (100.0¢) to 1\6 (200.0¢)
Parent MOS 6edo
Daughter MOSes 12L 6s, 6L 12s
Sister MOS 6L 6s
TAMNAMS name hexawood
Equal tunings
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¢)

This is the bi-equal chromatic scale of Hexe temperament. It has a generator of up to the familiar semitone of 12edo (100¢) and two closed circles of minor sevenths representing the 2.9 subgroup separated thereby.

Scale tree

Generator Cents L s L/s Comments
Chroma-positive Chroma-negative
1\12 100.000 100.000 1 1 1.000
6\66 109.091 90.909 6 5 1.200 Semimist↑
5\54 111.111 88.889 5 4 1.250 Hexe is optimal around here
9\96 112.500 87.500 9 7 1.286
4\42 114.286 85.714 4 3 1.333
11\114 115.789 84.211 11 8 1.375
7\72 116.667 83.333 7 5 1.400
10\102 117.647 98.824 10 7 1.428
3\30 120.000 80.000 3 2 1.500 L/s = 3/2
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
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
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 L/s = 3/1
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
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 → inf