2L 4s

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Revision as of 23:14, 16 April 2021 by Godtone (talk | contribs) (TAMNAMS consistency correction)
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↖ 1L 3s ↑ 2L 3s 3L 3s ↗
← 1L 4s 2L 4s 3L 4s →
↙ 1L 5s ↓ 2L 5s 3L 5s ↘
Scale structure
Step pattern LssLss
ssLssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 2\6 to 1\2 (400.0 ¢ to 600.0 ¢)
Dark 0\2 to 1\6 (0.0 ¢ to 200.0 ¢)
TAMNAMS information
Name malic
Prefix mal-
Abbrev. mal
Related MOS scales
Parent 2L 2s
Sister 4L 2s
Daughters 6L 2s, 2L 6s
Neutralized 4L 2s
2-Flought 8L 4s, 2L 10s
Equal tunings
Equalized (L:s = 1:1) 2\6 (400.0 ¢)
Supersoft (L:s = 4:3) 7\20 (420.0 ¢)
Soft (L:s = 3:2) 5\14 (428.6 ¢)
Semisoft (L:s = 5:3) 8\22 (436.4 ¢)
Basic (L:s = 2:1) 3\8 (450.0 ¢)
Semihard (L:s = 5:2) 7\18 (466.7 ¢)
Hard (L:s = 3:1) 4\10 (480.0 ¢)
Superhard (L:s = 4:1) 5\12 (500.0 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)
ViewTalkEdit

The only scale with this MOS pattern that's a really significant minimum of harmonic entropy is srutal/pajara, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is half of that (about a quartertone), so 3/2 is a period plus two generators; and hedgehog, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.

Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.

Generator Cents Comments
0\2 0
1\24 50
2\46 52.17 Shrutar is around here
1\22 54.55
1\20 60
1\18 66.67
1\16 75
1\14 85.71
2\26 92.31 Injera is around here
1\12 100 L/s = 4
2\22 109.09 Srutal/Pajara is around here
600/(2+pi)
1\10 120 L/s = 3
600/(2+e)
3/28 128.57
600/(3+phi)
2/18 133.33
1\8 150 Boundary of propriety (generators

larger than this are proper)

600/(2+sqrt(3))
3\22 163.64 Hedgehog and echidna are both around here
8\58 165.52
600/(2+phi) Golden hedgehog/echidna
13\94 165.96
5\36 166.67
600/(2+pi/2)
2\14 171.43 Optimum rank range (L/s=3/2)
1\6 200