8L 2s

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↖ 7L 1s ↑8L 1s 9L 1s ↗
← 7L 2s8L 2s 9L 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. tar
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

  • 8|0(2) LLLLsLLLLs
  • 6|2(2) LLLsLLLLsL
  • 4|4(2) LLsLLLLsLL
  • 2|6(2) LsLLLLsLLL
  • 0|8(2) sLLLLsLLLL

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