6L 2s

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6L 2s
Brightest mode LLLsLLLs
Period 1\2
Range for bright generator 1\8 (150.0¢) to 1\6 (200.0¢)
Parent MOS 2L 4s
Daughter MOSes 8L 6s, 6L 8s
Sister MOS 2L 6s
TAMNAMS name echo
Equal tunings
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¢)

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).

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 echinoid
(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 Unnamed golden tuning
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