2L 2s
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Step pattern
LsLs
sLsL
Equave
2/1 (1200.0 ¢)
Period
1\2 (600.0 ¢)
Bright
1\4 to 1\2 (300.0 ¢ to 600.0 ¢)
Dark
0\2 to 1\4 (0.0 ¢ to 300.0 ¢)
Name
biwood
Prefix
biwd-
Abbrev.
bw
Parent
none
Sister
2L 2s (self)
Daughters
4L 2s, 2L 4s
Neutralized
4edo
2-Flought
6L 2s, 2L 6s
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 ↘ |
┌╥┬╥┬┐ │║│║││ ││││││ └┴┴┴┴┘
Scale structure
sLsL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
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
| UDP | Cyclic order |
Step pattern |
Scale degree (biwddegree) | ||||
|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | |||
| 2|0(2) | 1 | LsLs | Perf. | Maj. | Perf. | Maj. | Perf. |
| 0|2(2) | 2 | sLsL | Perf. | Min. | Perf. | Min. | Perf. |
Intervals
| Intervals | Steps subtended |
Range in cents | ||
|---|---|---|---|---|
| Generic | Specific | Abbrev. | ||
| 0-biwdstep | Perfect 0-biwdstep | P0bws | 0 | 0.0 ¢ |
| 1-biwdstep | Minor 1-biwdstep | m1bws | s | 0.0 ¢ to 300.0 ¢ |
| Major 1-biwdstep | M1bws | L | 300.0 ¢ to 600.0 ¢ | |
| 2-biwdstep | Perfect 2-biwdstep | P2bws | L + s | 600.0 ¢ |
| 3-biwdstep | Minor 3-biwdstep | m3bws | L + 2s | 600.0 ¢ to 900.0 ¢ |
| Major 3-biwdstep | M3bws | 2L + s | 900.0 ¢ to 1200.0 ¢ | |
| 4-biwdstep | Perfect 4-biwdstep | P4bws | 2L + 2s | 1200.0 ¢ |
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 | ||||||