2L 2s

↖ 1L 1s	↑ 2L 1s	3L 1s ↗
← 1L 2s	2L 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 ¢)
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
Neutralized	4edo
2-Flought	6L 2s, 2L 6s
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

Scale degrees of the modes of 2L 2s

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 of 2L 2s

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