2L 2s
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Scale structure
Step pattern
LsLs
sLsL
Equave
2/1 (1200.0¢)
Period
1\2 (600.0¢)
Step size
Large
1\4 to 1\2 (300.0¢ to 600.0¢)
Small
0\2 to 1\4 (0.0¢ to 300.0¢)
Generator size
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¢)
| ↖1L 1s | ↑2L 1s | 3L 1s↗ |
| ←1L 2s | 2L 2s | 3L 2s→ |
| ↙1L 3s | ↓2L 3s | 3L 3s↘ |
┌╥┬╥┬┐ │║│║││ ││││││ └┴┴┴┴┘
sLsL
2L 4s
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 | ||||||