2L 2s

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↖1L 1s ↑2L 1s 3L 1s↗
←1L 2s2L 2s 3L 2s→
↙1L 3s ↓2L 3s 3L 3s↘
Scale structure
Step pattern LsLs
sLsL
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Step size ranges
Large 1\4 to 1\2 (300.0¢ to 600.0¢)
Small 0\2 to 1\4 (0.0¢ to 300.0¢)
Generator ranges
Bright 1\4 to 1\2 (300.0¢ to 600.0¢)
Dark 0\2 to 1\4 (0.0¢ to 300.0¢)
TAMNAMS information
Name biwood
Prefix biwd-
Abbrev. bw
Related MOS scales
Parent none
Sister 2L 2s (self)
Daughters 4L 2s
2L 4s
Equal tunings
Equalized (L:s = 1:1) 1\4 (300.0¢)
Supersoft (L:s = 4:3) 4\14 (342.9¢)
Soft (L:s = 3:2) 3\10 (360.0¢)
Semisoft (L:s = 5:3) 5\16 (375.0¢)
Basic (L:s = 2:1) 2\6 (400.0¢)
Semihard (L:s = 5:2) 5\14 (428.6¢)
Hard (L:s = 3:1) 3\8 (450.0¢)
Superhard (L:s = 4:1) 4\10 (480.0¢)
Collapsed (L:s = 1:0) 1\2 (600.0¢)

2L 2s, named biwood in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 2 small steps, with a period of 1 large step and 1 small step that repeats every 600.0¢, or twice every octave. Generators that produce this scale range from 300¢ to 600¢, or from 0¢ to 300¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

This scale is the parent of all half-octave-repeating MOS scales.

Names

TAMNAMS uses the name biwood, based on the n-wood series.

Modes

  • 2|0(2) LsLs
  • 0|2(2) sLsL

Scale tree

Generator ranges:

  • Chroma-positive generator: 300 cents (1\4) to 600 cents (1\2)
  • Chroma-negative generator: 0 cents (0\2) to 300 cents (1\4)
Generator Cents L s L/s Comments
1\4 300.000 1 1 1.000
6\22 327.273 6 5 1.200
5\18 333.333 5 4 1.250
9\32 337.500 9 7 1.286
4\14 342.857 4 3 1.333
11\38 347.368 11 8 1.375
7\24 350.000 7 5 1.400
10\34 352.941 10 7 1.429
3\10 360.000 3 2 1.500
11\36 366.667 11 7 1.571 Baladic
8\26 369.231 8 5 1.600
13\42 371.429 13 8 1.625 Golden Lemba (370.8204¢)
5\16 375.000 5 3 1.667
12\38 378.947 12 7 1.714
7\22 381.818 7 4 1.750
9\28 385.714 9 5 1.800
2\6 400.000 2 1 2.000 Basic 2L 2s
9\26 415.385 9 4 2.250 Unidec is around here
7\20 420.000 7 3 2.333
12\34 423.529 12 5 2.400
5\14 428.571 5 2 2.500
13\36 433.333 13 5 2.600 Golden Hedgehog-supers (434.1641¢)
8\22 436.364 8 3 2.667
11\30 440.000 11 4 2.750
3\8 450.000 3 1 3.000
10\26 461.538 10 3 3.333 Fifive
7\18 466.667 7 2 3.500
11\28 471.429 11 3 3.667
4\10 480.000 4 1 4.000
9\22 490.909 9 2 4.500 Diaschismic / Pajara
5\12 500.000 5 1 5.000 Injera is around here
6\14 514.286 6 1 6.000 Vishnu
1\2 600.000 1 0 → inf