6L 2s

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↖5L 1s ↑6L 1s 7L 1s↗
←5L 2s6L 2s 7L 2s→
↙5L 3s ↓6L 3s 7L 3s↘
Scale structure
Step pattern LLLsLLLs
Equave 2/1 (1200.0¢)
Period 1\2 (600.0¢)
Step size ranges
Large 1\8 to 1\6 (150.0¢ to 200.0¢)
Small 0\6 to 1\8 (0.0¢ to 150.0¢)
Generator ranges
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 scales
Parent 2L 4s
Sister 2L 6s
Daughters 8L 6s, 6L 8s
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.

6L 2s can be seen as a warped diatonic scale, where one additional large step is added to diatonic (5L 2s).

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 varieties. Although the true MOS (LLLsLLLs or its rotations) is always proper, the near-MOS is only proper if the generator is smaller than 2\14 (which includes hedgehog).

Modes

Modes of 6L 2s
UDP Rotational order Step pattern
6|0(2) 1 LLLsLLLs
4|2(2) 2 LLsLLLsL
2|4(2) 3 LsLLLsLL
0|6(2) 4 sLLLsLLL

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