2L 6s

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↖1L 5s ↑2L 5s 3L 5s↗
←1L 6s2L 6s 3L 6s→
↙1L 7s ↓2L 7s 3L 7s↘
Scale structure
Step pattern LsssLsss
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Step size ranges
Large 1\8 to 1\2 (150.0¢ to 600.0¢)
Small 0\2 to 1\8 (0.0¢ to 150.0¢)
Generator ranges
Bright 3\8 to 1\2 (450.0¢ to 600.0¢)
Dark 0\2 to 1\8 (0.0¢ to 150.0¢)
TAMNAMS information
Name subaric
Prefix subar-
Abbrev. subar
Related scales
Parent 2L 4s
Sister 6L 2s
Daughters 8L 2s, 2L 8s
Equal tunings
Equalized (L:s = 1:1) 3\8 (450.0¢)
Supersoft (L:s = 4:3) 10\26 (461.5¢)
Soft (L:s = 3:2) 7\18 (466.7¢)
Semisoft (L:s = 5:3) 11\28 (471.4¢)
Basic (L:s = 2:1) 4\10 (480.0¢)
Semihard (L:s = 5:2) 9\22 (490.9¢)
Hard (L:s = 3:1) 5\12 (500.0¢)
Superhard (L:s = 4:1) 6\14 (514.3¢)
Collapsed (L:s = 1:0) 1\2 (600.0¢)

2L 6s, named subaric in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 6 small steps, with a period of 1 large step and 3 small steps that repeats every 600.0¢, or twice every octave. Generators that produce this scale range from 450¢ to 600¢, or from 0¢ to 150¢.

Two notable harmonic entropy minima for this MOS pattern are srutal/pajara and shrutar. They are both improper.

In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only interval with more than two interval varieties.

Modes

Modes of 2L 6s
UDP Rotational order Step pattern
6|0(2) 1 LsssLsss
4|2(2) 4 sLsssLss
2|4(2) 3 ssLsssLs
0|6(2) 2 sssLsssL

Scale tree

Generator Cents L s L/s Comments
Chroma-positive Chroma-negative
3\8 450.000 150.000 1 1 1.000
16\42 457.143 142.857 6 5 1.200
13\34 458.824 141.176 5 4 1.250
23\60 460.000 140.000 9 7 1.286 Fifive/crepuscular/fifives
10\26 461.538 138.462 4 3 1.333
27\70 462.857 137.143 11 8 1.375
17\44 463.636 136.364 7 5 1.400
24\62 464.516 135.484 10 7 1.428
7\18 466.667 133.333 3 2 1.500 L/s = 3/2
25\64 468.750 131.250 11 7 1.571
18\46 469.565 130.435 8 5 1.600
29\74 470.270 129.730 13 8 1.625 Unnamed golden tuning
11\28 471.429 128.571 5 3 1.667 Supersharp/octokaidecal is around here
26\66 472.727 127.273 12 7 1.714
15\38 473.864 126.316 7 4 1.750
19\48 475.000 125.000 9 5 1.800
4\10 480.000 120.000 2 1 2.000 Basic 2L 6s
(Generators smaller than this are proper)
17\42 485.714 114.286 9 4 2.250
13\32 487.500 112.500 7 3 2.333
22\54 488.889 111.111 12 5 2.400
9\22 490.909 109.091 5 2 2.500 Srutal/pajara
23\56 492.857 107.143 13 5 2.600 Srutal/keen
14\34 494.118 105.882 8 3 2.667 Srutal
19\46 495.652 104.348 11 4 2.750 Srutal/diaschismic
5\12 500.000 100.000 3 1 3.000 L/s = 3/1
16\38 505.263 94.737 10 3 3.333 Bimeantone (incomplete)
11\26 507.692 92.308 7 2 3.500 Injera (incomplete)
17\40 510.000 90.000 11 3 3.667
6\14 514.286 85.714 4 1 4.000
13\30 520.000 80.000 9 2 4.500
7\16 525.000 75.000 5 1 5.000
8\18 533.333 66.667 6 1 6.000 Shrutar, teff/pombe (incomplete)↓
1\2 600.000 0.000 1 0 → inf