8L 2s

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↖ 7L 1s↑ 8L 1s 9L 1s ↗
← 7L 2s8L 2s9L 2s →
↙ 7L 3s↓ 8L 3s 9L 3s ↘
┌╥╥╥╥┬╥╥╥╥┬┐
│║║║║│║║║║││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLLs
sLLLLsLLLL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Generator size
Bright 1\10 to 1\8 (120.0¢ to 150.0¢)
Dark 3\8 to 4\10 (450.0¢ to 480.0¢)
TAMNAMS information
Name taric
Prefix tara-
Abbrev. ta
Related MOS scales
Parent 2L 6s
Sister 2L 8s
Daughters 10L 8s, 8L 10s
Neutralized 6L 4s
2-Flought 18L 2s, 8L 12s
Equal tunings
Equalized (L:s = 1:1) 1\10 (120.0¢)
Supersoft (L:s = 4:3) 4\38 (126.3¢)
Soft (L:s = 3:2) 3\28 (128.6¢)
Semisoft (L:s = 5:3) 5\46 (130.4¢)
Basic (L:s = 2:1) 2\18 (133.3¢)
Semihard (L:s = 5:2) 5\44 (136.4¢)
Hard (L:s = 3:1) 3\26 (138.5¢)
Superhard (L:s = 4:1) 4\34 (141.2¢)
Collapsed (L:s = 1:0) 1\8 (150.0¢)

8L 2s, named taric in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 2 small steps, with a period of 4 large steps and 1 small step that repeats every 600.0¢, or twice every octave. Generators that produce this scale range from 120¢ to 150¢, or from 450¢ to 480¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Modes

Scale degrees of the modes of 8L 2s 
UDP Cyclic
Order
Step
Pattern
Scale Degree (taradegree)
0 1 2 3 4 5 6 7 8 9 10
8|0(2) 1 LLLLsLLLLs Perf. Perf. Maj. Maj. Aug. Perf. Perf. Maj. Maj. Aug. Perf.
6|2(2) 2 LLLsLLLLsL Perf. Perf. Maj. Maj. Perf. Perf. Perf. Maj. Maj. Perf. Perf.
4|4(2) 3 LLsLLLLsLL Perf. Perf. Maj. Min. Perf. Perf. Perf. Maj. Min. Perf. Perf.
2|6(2) 4 LsLLLLsLLL Perf. Perf. Min. Min. Perf. Perf. Perf. Min. Min. Perf. Perf.
0|8(2) 5 sLLLLsLLLL Perf. Dim. Min. Min. Perf. Perf. Dim. Min. Min. Perf. Perf.

Scale tree

Scale Tree and Tuning Spectrum of 8L 2s
Generator(edo) Cents Step Ratio Comments(always proper)
Bright Dark L:s Hardness
1\10 120.000 480.000 1:1 1.000 Equalized 8L 2s
6\58 124.138 475.862 6:5 1.200 Quadrasruta (sagugu&bizozogu)
5\48 125.000 475.000 5:4 1.250
9\86 125.581 474.419 9:7 1.286
4\38 126.316 473.684 4:3 1.333 Supersoft 8L 2s
11\104 126.923 473.077 11:8 1.375
7\66 127.273 472.727 7:5 1.400
10\94 127.660 472.340 10:7 1.429
3\28 128.571 471.429 3:2 1.500 Soft 8L 2s
11\102 129.412 470.588 11:7 1.571
8\74 129.730 470.270 8:5 1.600
13\120 130.000 470.000 13:8 1.625 Golden taric (129.9254¢)
5\46 130.435 469.565 5:3 1.667 Semisoft 8L 2s
12\110 130.909 469.091 12:7 1.714
7\64 131.250 468.750 7:4 1.750
9\82 131.707 468.293 9:5 1.800
2\18 133.333 466.667 2:1 2.000 Basic 8L 2s
Octokaidecal is around here
9\80 135.000 465.000 9:4 2.250
7\62 135.484 464.516 7:3 2.333
12\106 135.849 464.151 12:5 2.400
5\44 136.364 463.636 5:2 2.500 Semihard 8L 2s
13\114 136.842 463.158 13:5 2.600
8\70 137.143 462.857 8:3 2.667
11\96 137.500 462.500 11:4 2.750
3\26 138.462 461.538 3:1 3.000 Hard 8L 2s
10\86 139.535 460.465 10:3 3.333
7\60 140.000 460.000 7:2 3.500 Fifives/crepuscular
11\94 140.426 459.574 11:3 3.667
4\34 141.176 458.824 4:1 4.000 Superhard 8L 2s
9\76 142.105 457.895 9:2 4.500
5\42 142.857 457.143 5:1 5.000
6\50 144.000 456.000 6:1 6.000 Bisemidim
1\8 150.000 450.000 1:0 → ∞ Collapsed 8L 2s