6L 2s

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

┌╥╥╥┬╥╥╥┬┐ │║║║│║║║││ ││││││││││ └┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern	LLLsLLLs sLLLsLLL
Equave	2/1 (1200.0 ¢)
Period	1\2 (600.0 ¢)
Generator size
Bright	1\8 to 1\6 (150.0 ¢ to 200.0 ¢)
Dark	2\6 to 3\8 (400.0 ¢ to 450.0 ¢)
TAMNAMS information
Name	ekic
Prefix	ek-
Abbrev.	ek
Related MOS scales
Parent	2L 4s
Sister	2L 6s
Daughters	8L 6s, 6L 8s
Neutralized	4L 4s
2-Flought	14L 2s, 6L 10s
Equal tunings
Equalized (L:s = 1:1)	1\8 (150.0 ¢)
Supersoft (L:s = 4:3)	4\30 (160.0 ¢)
Soft (L:s = 3:2)	3\22 (163.6 ¢)
Semisoft (L:s = 5:3)	5\36 (166.7 ¢)
Basic (L:s = 2:1)	2\14 (171.4 ¢)
Semihard (L:s = 5:2)	5\34 (176.5 ¢)
Hard (L:s = 3:1)	3\20 (180.0 ¢)
Superhard (L:s = 4:1)	4\26 (184.6 ¢)
Collapsed (L:s = 1:0)	1\6 (200.0 ¢)

6L 2s, named ekic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 2 small steps, with a period of 3 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 150 ¢ to 200 ¢, or from 400 ¢ to 450 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. There is only one significant (though small) harmonic entropy minimum with this MOS pattern: hedgehog, in which two generators are 6/5 and three are 4/3, same as porcupine.

In spite of being a multi-MOS, 6L 2s is a warped diatonic scale, because it has one extra large step compared to diatonic (5L 2s): for example, the Ionian diatonic mode LLsLLLs can be warped to the ekic mode LLLsLLLs.

In addition to the true MOS, LLLsLLLs, there is also a near-MOS, LLLLsLLs, in which the period is the only interval with more than two flavors. The true MOS is always proper, because there is only one small step per period, but the near-MOS is only proper if the generator is smaller than 2\14 (which includes hedgehog).

Scale tree

Generator						Cents	L	s	L/s	Comments
1\8						150.000	1	1	1.000
					6\46	156.522	6	5	1.200	Bison
				5\38		157.895	5	4	1.250
					9\68	158.824	9	7	1.286
			4\30			160.000	4	3	1.333
					11\82	160.976	11	8	1.375
				7\52		161.538	7	5	1.400
					10\74	162.162	10	7	1.428
		3\22				163.636	3	2	1.500	L/s = 3/2, hedgehog is around here
					11\80	165.000	11	7	1.571	Echidna
				8\58		165.517	8	5	1.600
					13\94	165.957	13	8	1.625	Supers, pogo
			5\36			166.667	5	3	1.667
					12\86	167.442	12	7	1.714
				7\50		168.000	7	4	1.750
					9\64	168.750	9	5	1.800
	2\14					171.429	2	1	2.000	Basic ekic (Generators smaller than this are proper)
					9\62	174.194	9	4	2.250
				7\48		175.000	7	3	2.333
					12\82	175.610	12	5	2.400
			5\34			176.471	5	2	2.500
					13\88	177.273	13	5	2.600	Golden ekic
				8\54		177.778	8	3	2.667
					11\74	178.378	11	4	2.750
		3\20				180.000	3	1	3.000	L/s = 3/1
					10\66	181.818	10	3	3.333
				7\46		182.609	7	2	3.500
					11\72	183.333	11	3	3.667	Unidec
			4\26			184.615	4	1	4.000
					9\58	186.207	9	2	4.500	Secant
				5\32		187.500	5	1	5.000
					6\38	189.474	6	1	6.000
1\6						200.000	1	0	→ inf