8L 2s

↖ 7L 1s	↑ 8L 1s	9L 1s ↗
← 7L 2s	8L 2s	9L 2s →
↙ 7L 3s	↓ 8L 3s	9L 3s ↘

┌╥╥╥╥┬╥╥╥╥┬┐ │║║║║│║║║║││ ││││││││││││ └┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLLsLLLLs sLLLLsLLLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	1\10 to 1\8 (120.0 ¢ to 150.0 ¢)
Dark	3\8 to 4\10 (450.0 ¢ to 480.0 ¢)
TAMNAMS information
Name	taric
Prefix	tara-
Abbrev.	ta
Related MOS scales
Parent	2L 6s
Sister	2L 8s
Daughters	10L 8s, 8L 10s
Neutralized	6L 4s
2-Flought	18L 2s, 8L 12s
Equal tunings
Equalized (L:s = 1:1)	1\10 (120.0 ¢)
Supersoft (L:s = 4:3)	4\38 (126.3 ¢)
Soft (L:s = 3:2)	3\28 (128.6 ¢)
Semisoft (L:s = 5:3)	5\46 (130.4 ¢)
Basic (L:s = 2:1)	2\18 (133.3 ¢)
Semihard (L:s = 5:2)	5\44 (136.4 ¢)
Hard (L:s = 3:1)	3\26 (138.5 ¢)
Superhard (L:s = 4:1)	4\34 (141.2 ¢)
Collapsed (L:s = 1:0)	1\8 (150.0 ¢)

8L 2s, named taric in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 2 small steps, with a period of 4 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 120 ¢ to 150 ¢, or from 450 ¢ to 480 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.

Intervals

Intervals of 8L 2s

Intervals			Steps subtended	Range in cents
Generic	Specific	Abbrev.
0-tarastep	Perfect 0-tarastep	P0tas	0	0.0 ¢
1-tarastep	Diminished 1-tarastep	d1tas	s	0.0 ¢ to 120.0 ¢
	Perfect 1-tarastep	P1tas	L	120.0 ¢ to 150.0 ¢
2-tarastep	Minor 2-tarastep	m2tas	L + s	150.0 ¢ to 240.0 ¢
	Major 2-tarastep	M2tas	2L	240.0 ¢ to 300.0 ¢
3-tarastep	Minor 3-tarastep	m3tas	2L + s	300.0 ¢ to 360.0 ¢
	Major 3-tarastep	M3tas	3L	360.0 ¢ to 450.0 ¢
4-tarastep	Perfect 4-tarastep	P4tas	3L + s	450.0 ¢ to 480.0 ¢
	Augmented 4-tarastep	A4tas	4L	480.0 ¢ to 600.0 ¢
5-tarastep	Perfect 5-tarastep	P5tas	4L + s	600.0 ¢
6-tarastep	Diminished 6-tarastep	d6tas	4L + 2s	600.0 ¢ to 720.0 ¢
	Perfect 6-tarastep	P6tas	5L + s	720.0 ¢ to 750.0 ¢
7-tarastep	Minor 7-tarastep	m7tas	5L + 2s	750.0 ¢ to 840.0 ¢
	Major 7-tarastep	M7tas	6L + s	840.0 ¢ to 900.0 ¢
8-tarastep	Minor 8-tarastep	m8tas	6L + 2s	900.0 ¢ to 960.0 ¢
	Major 8-tarastep	M8tas	7L + s	960.0 ¢ to 1050.0 ¢
9-tarastep	Perfect 9-tarastep	P9tas	7L + 2s	1050.0 ¢ to 1080.0 ¢
	Augmented 9-tarastep	A9tas	8L + s	1080.0 ¢ to 1200.0 ¢
10-tarastep	Perfect 10-tarastep	P10tas	8L + 2s	1200.0 ¢

Generator chain

Generator chain of 8L 2s

Bright gens	Scale degree	Abbrev.	Scale degree	Abbrev.
8	Augmented 3-taradegree	A3tad	Augmented 8-taradegree	A8tad
7	Augmented 2-taradegree	A2tad	Augmented 7-taradegree	A7tad
6	Augmented 1-taradegree	A1tad	Augmented 6-taradegree	A6tad
5	Augmented 0-taradegree	A0tad	Augmented 5-taradegree	A5tad
4	Augmented 4-taradegree	A4tad	Augmented 9-taradegree	A9tad
3	Major 3-taradegree	M3tad	Major 8-taradegree	M8tad
2	Major 2-taradegree	M2tad	Major 7-taradegree	M7tad
1	Perfect 1-taradegree	P1tad	Perfect 6-taradegree	P6tad
0	Perfect 0-taradegree Perfect 5-taradegree	P0tad P5tad	Perfect 5-taradegree Perfect 10-taradegree	P5tad P10tad
−1	Perfect 4-taradegree	P4tad	Perfect 9-taradegree	P9tad
−2	Minor 3-taradegree	m3tad	Minor 8-taradegree	m8tad
−3	Minor 2-taradegree	m2tad	Minor 7-taradegree	m7tad
−4	Diminished 1-taradegree	d1tad	Diminished 6-taradegree	d6tad
−5	Diminished 5-taradegree	d5tad	Diminished 10-taradegree	d10tad
−6	Diminished 4-taradegree	d4tad	Diminished 9-taradegree	d9tad
−7	Diminished 3-taradegree	d3tad	Diminished 8-taradegree	d8tad
−8	Diminished 2-taradegree	d2tad	Diminished 7-taradegree	d7tad

Modes

Scale degrees of the modes of 8L 2s

UDP	Cyclic order	Step pattern	Scale degree (taradegree)
			0	1	2	3	4	5	6	7	8	9	10
8|0(2)	1	LLLLsLLLLs	Perf.	Perf.	Maj.	Maj.	Aug.	Perf.	Perf.	Maj.	Maj.	Aug.	Perf.
6|2(2)	2	LLLsLLLLsL	Perf.	Perf.	Maj.	Maj.	Perf.	Perf.	Perf.	Maj.	Maj.	Perf.	Perf.
4|4(2)	3	LLsLLLLsLL	Perf.	Perf.	Maj.	Min.	Perf.	Perf.	Perf.	Maj.	Min.	Perf.	Perf.
2|6(2)	4	LsLLLLsLLL	Perf.	Perf.	Min.	Min.	Perf.	Perf.	Perf.	Min.	Min.	Perf.	Perf.
0|8(2)	5	sLLLLsLLLL	Perf.	Dim.	Min.	Min.	Perf.	Perf.	Dim.	Min.	Min.	Perf.	Perf.

Scale tree

Scale tree and tuning spectrum of 8L 2s

Generator(edo)						Cents		Step ratio		Comments(always proper)
						Bright	Dark	L:s	Hardness
1\10						120.000	480.000	1:1	1.000	Equalized 8L 2s
					6\58	124.138	475.862	6:5	1.200	Quadrasruta (sagugu & bizozogu)
				5\48		125.000	475.000	5:4	1.250
					9\86	125.581	474.419	9:7	1.286
			4\38			126.316	473.684	4:3	1.333	Supersoft 8L 2s
					11\104	126.923	473.077	11:8	1.375
				7\66		127.273	472.727	7:5	1.400
					10\94	127.660	472.340	10:7	1.429
		3\28				128.571	471.429	3:2	1.500	Soft 8L 2s
					11\102	129.412	470.588	11:7	1.571
				8\74		129.730	470.270	8:5	1.600
					13\120	130.000	470.000	13:8	1.625	Golden taric (129.9254 ¢)
			5\46			130.435	469.565	5:3	1.667	Semisoft 8L 2s
					12\110	130.909	469.091	12:7	1.714
				7\64		131.250	468.750	7:4	1.750
					9\82	131.707	468.293	9:5	1.800
	2\18					133.333	466.667	2:1	2.000	Basic 8L 2s Octokaidecal is around here
					9\80	135.000	465.000	9:4	2.250
				7\62		135.484	464.516	7:3	2.333
					12\106	135.849	464.151	12:5	2.400
			5\44			136.364	463.636	5:2	2.500	Semihard 8L 2s
					13\114	136.842	463.158	13:5	2.600
				8\70		137.143	462.857	8:3	2.667
					11\96	137.500	462.500	11:4	2.750
		3\26				138.462	461.538	3:1	3.000	Hard 8L 2s
					10\86	139.535	460.465	10:3	3.333
				7\60		140.000	460.000	7:2	3.500	Fifives/crepuscular
					11\94	140.426	459.574	11:3	3.667
			4\34			141.176	458.824	4:1	4.000	Superhard 8L 2s
					9\76	142.105	457.895	9:2	4.500
				5\42		142.857	457.143	5:1	5.000
					6\50	144.000	456.000	6:1	6.000	Bisemidim
1\8						150.000	450.000	1:0	→ ∞	Collapsed 8L 2s

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