2L 6s

↖ 1L 5s	↑ 2L 5s	3L 5s ↗
← 1L 6s	2L 6s	3L 6s →
↙ 1L 7s	↓ 2L 7s	3L 7s ↘

┌╥┬┬┬╥┬┬┬┐ │║│││║││││ ││││││││││ └┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LsssLsss sssLsssL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	3\8 to 1\2 (450.0 ¢ to 600.0 ¢)
Dark	0\2 to 1\8 (0.0 ¢ to 150.0 ¢)
TAMNAMS information
Name	subaric
Prefix	subar-
Abbrev.	sb
Related MOS scales
Parent	2L 4s
Sister	6L 2s
Daughters	8L 2s, 2L 8s
Neutralized	4L 4s
2-Flought	10L 6s, 2L 14s
Equal tunings
Equalized (L:s = 1:1)	3\8 (450.0 ¢)
Supersoft (L:s = 4:3)	10\26 (461.5 ¢)
Soft (L:s = 3:2)	7\18 (466.7 ¢)
Semisoft (L:s = 5:3)	11\28 (471.4 ¢)
Basic (L:s = 2:1)	4\10 (480.0 ¢)
Semihard (L:s = 5:2)	9\22 (490.9 ¢)
Hard (L:s = 3:1)	5\12 (500.0 ¢)
Superhard (L:s = 4:1)	6\14 (514.3 ¢)
Collapsed (L:s = 1:0)	1\2 (600.0 ¢)

2L 6s, named subaric in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 6 small steps, with a period of 1 large step and 3 small steps that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 450 ¢ to 600 ¢, or from 0 ¢ to 150 ¢. Two notable harmonic entropy minima for this MOS pattern are srutal/pajara and shrutar. They are both improper.

In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only interval with more than two interval varieties.

Name

TAMNAMS suggests the temperament-agnostic name subaric as the name of 2L 6s. The name references to how 2L 6s is the parent scale (or subset scale) of 2L 8s (jaric) and 8L 2s (taric).

Scale properties

Intervals

Intervals of 2L 6s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-subarstep	Perfect 0-subarstep	P0sbs	0	0.0 ¢
1-subarstep	Perfect 1-subarstep	P1sbs	s	0.0 ¢ to 150.0 ¢
	Augmented 1-subarstep	A1sbs	L	150.0 ¢ to 600.0 ¢
2-subarstep	Minor 2-subarstep	m2sbs	2s	0.0 ¢ to 300.0 ¢
	Major 2-subarstep	M2sbs	L + s	300.0 ¢ to 600.0 ¢
3-subarstep	Diminished 3-subarstep	d3sbs	3s	0.0 ¢ to 450.0 ¢
	Perfect 3-subarstep	P3sbs	L + 2s	450.0 ¢ to 600.0 ¢
4-subarstep	Perfect 4-subarstep	P4sbs	L + 3s	600.0 ¢
5-subarstep	Perfect 5-subarstep	P5sbs	L + 4s	600.0 ¢ to 750.0 ¢
	Augmented 5-subarstep	A5sbs	2L + 3s	750.0 ¢ to 1200.0 ¢
6-subarstep	Minor 6-subarstep	m6sbs	L + 5s	600.0 ¢ to 900.0 ¢
	Major 6-subarstep	M6sbs	2L + 4s	900.0 ¢ to 1200.0 ¢
7-subarstep	Diminished 7-subarstep	d7sbs	L + 6s	600.0 ¢ to 1050.0 ¢
	Perfect 7-subarstep	P7sbs	2L + 5s	1050.0 ¢ to 1200.0 ¢
8-subarstep	Perfect 8-subarstep	P8sbs	2L + 6s	1200.0 ¢

Generator chain

Generator chain of 2L 6s

Bright gens	Scale degree	Abbrev.	Scale degree	Abbrev.
4	Augmented 0-subardegree	A0sbd	Augmented 4-subardegree	A4sbd
3	Augmented 1-subardegree	A1sbd	Augmented 5-subardegree	A5sbd
2	Major 2-subardegree	M2sbd	Major 6-subardegree	M6sbd
1	Perfect 3-subardegree	P3sbd	Perfect 7-subardegree	P7sbd
0	Perfect 0-subardegree Perfect 4-subardegree	P0sbd P4sbd	Perfect 4-subardegree Perfect 8-subardegree	P4sbd P8sbd
−1	Perfect 1-subardegree	P1sbd	Perfect 5-subardegree	P5sbd
−2	Minor 2-subardegree	m2sbd	Minor 6-subardegree	m6sbd
−3	Diminished 3-subardegree	d3sbd	Diminished 7-subardegree	d7sbd
−4	Diminished 4-subardegree	d4sbd	Diminished 8-subardegree	d8sbd

Modes

Scale degrees of the modes of 2L 6s

UDP	Cyclic order	Step pattern	Scale degree (subardegree)
			0	1	2	3	4	5	6	7	8
6|0(2)	1	LsssLsss	Perf.	Aug.	Maj.	Perf.	Perf.	Aug.	Maj.	Perf.	Perf.
4|2(2)	4	sLsssLss	Perf.	Perf.	Maj.	Perf.	Perf.	Perf.	Maj.	Perf.	Perf.
2|4(2)	3	ssLsssLs	Perf.	Perf.	Min.	Perf.	Perf.	Perf.	Min.	Perf.	Perf.
0|6(2)	2	sssLsssL	Perf.	Perf.	Min.	Dim.	Perf.	Perf.	Min.	Dim.	Perf.

Scale tree

Scale tree and tuning spectrum of 2L 6s

Generator(edo)						Cents		Step ratio		Comments
						Bright	Dark	L:s	Hardness
3\8						450.000	150.000	1:1	1.000	Equalized 2L 6s
					16\42	457.143	142.857	6:5	1.200
				13\34		458.824	141.176	5:4	1.250
					23\60	460.000	140.000	9:7	1.286	Fifive/crepuscular/fifives
			10\26			461.538	138.462	4:3	1.333	Supersoft 2L 6s
					27\70	462.857	137.143	11:8	1.375
				17\44		463.636	136.364	7:5	1.400
					24\62	464.516	135.484	10:7	1.429
		7\18				466.667	133.333	3:2	1.500	Soft 2L 6s
					25\64	468.750	131.250	11:7	1.571
				18\46		469.565	130.435	8:5	1.600
					29\74	470.270	129.730	13:8	1.625	Unnamed golden tuning
			11\28			471.429	128.571	5:3	1.667	Semisoft 2L 6s Supersharp/octokaidecal is around here
					26\66	472.727	127.273	12:7	1.714
				15\38		473.684	126.316	7:4	1.750
					19\48	475.000	125.000	9:5	1.800
	4\10					480.000	120.000	2:1	2.000	Basic 2L 6s Scales with tunings softer than this are proper
					17\42	485.714	114.286	9:4	2.250
				13\32		487.500	112.500	7:3	2.333
					22\54	488.889	111.111	12:5	2.400
			9\22			490.909	109.091	5:2	2.500	Semihard 2L 6s Srutal/pajara
					23\56	492.857	107.143	13:5	2.600	Srutal/keen
				14\34		494.118	105.882	8:3	2.667	Srutal
					19\46	495.652	104.348	11:4	2.750	Srutal/diaschismic
		5\12				500.000	100.000	3:1	3.000	Hard 2L 6s
					16\38	505.263	94.737	10:3	3.333	Bimeantone (incomplete)
				11\26		507.692	92.308	7:2	3.500	Injera (incomplete)
					17\40	510.000	90.000	11:3	3.667
			6\14			514.286	85.714	4:1	4.000	Superhard 2L 6s
					13\30	520.000	80.000	9:2	4.500
				7\16		525.000	75.000	5:1	5.000
					8\18	533.333	66.667	6:1	6.000	Shrutar, teff/pombe (incomplete)↓
1\2						600.000	0.000	1:0	→ ∞	Collapsed 2L 6s