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 is a MOS scale with a half-octave period and a generator larger than 1\8 and smaller than 1\6. 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 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).

Names

This MOS is called echinoid in the TAMNAMS scheme (after hedgehog temperament).

Scale tree

Generator						Cents	Comments
1\8						150
					6\46	156.52
				5\38		157.895
			4\30			160
		3\22				163.64	Hedgehog is around here
						164.99
				8\58		165.52
					13\94	165.96	Golden hedgehog/echidna
			5\36			166.67
						167.72
	2\14					171.43	Boundary of propriety for near-MOS Optimum rank range (L/s=2/1) for MOS
			5\34			176.47
					13\88	177.27
				8\54		177.78
						178.15	L/s = e
		3\20				180	L/s = 3
						180.815	L/s = pi
			4\26			184.615	L/s = 4
				5\32		187.5
					6\38	189.47
1\6						200