3L 9s

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3L 9s
Pattern LsssLsssLsss
Period 1\3
Generator range 3\12 (300.0¢) to 1\3 (400.0¢)
Parent MOS 3L 6s
Daughter MOSes 12L 3s, 3L 12s
Sister MOS 9L 3s
Equal tunings
Supersoft (L:s = 4:3) 10\39 (307.7¢)
Soft (L:s = 3:2) 7\27 (311.1¢)
Semisoft (L:s = 5:3) 11\42 (314.3¢)
Basic (L:s = 2:1) 4\15 (320.0¢)
Semihard (L:s = 5:2) 9\33 (327.3¢)
Hard (L:s = 3:1) 5\18 (333.3¢)
Superhard (L:s = 4:1) 6\21 (342.9¢)

3L 9s is the MOS pattern LsssLsssLsss with small steps ranging from 0\1 (0¢) to 1\12 (one step of 12edo = 100¢).

This MOS represents, among other chromatic scales, that of the Augene temperament.

Modes

  • 9|0(3) LsssLsssLsss
  • 6|3(3) sLsssLsssLss
  • 3|6(3) ssLsssLsssLs
  • 0|9(3) sssLsssLsssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 300 cents (3\12) to 400 cents (1\3)
  • Chroma-negative generator: 0 cents (0\3) to 100 cents (1\12)
Small step
(chroma-negative generator)
Cents L s L/s Comments
1\12 100.000 1 1 1.000
5\63 95.238 6 5 1.200 Misty/fog
4\51 94.118 5 4 1.250
7\90 93.333 9 7 1.286
3\39 92.308 4 3 1.333
8\105 91.429 11 8 1.375
5\66 90.909 7 5 1.400
7\93 90.323 10 7 1.429
2\27 88.889 3 2 1.500 Augene is around here
7\96 87.500 11 7 1.571
5\69 86.957 8 5 1.600
8\111 86.486 13 8 1.625 Golden augene (86.6169¢)
3\42 85.714 5 3 1.667
7\99 84.848 12 7 1.714
4\57 84.211 7 4 1.750
5\72 83.333 9 5 1.800
1\15 80.000 2 1 2.000 Basic 3L 9s
(Generators larger than this are proper)
4\63 76.190 9 4 2.250
3\48 75.000 7 3 2.333
5\81 74.074 12 5 2.400
2\33 72.727 5 2 2.500 Inflated is around here
5\84 71.429 13 5 2.600 Golden inflated (71.1993¢)
3\51 70.588 8 3 2.667
4\69 69.565 11 4 2.750
1\18 66.667 3 1 3.000
3\57 63.158 10 3 3.333
2\39 61.538 7 2 3.500
3\60 60.000 11 3 3.667
1\21 57.143 4 1 4.000
2\45 53.333 9 2 4.500
1\24 50.000 5 1 5.000
1\27 44.444 6 1 6.000 Hemiaug
0\3 0 1 0 → inf