1L 9s

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↑1L 8s 2L 8s↗
1L 9s2L 9s→
↓1L 10s 2L 10s↘
Brightest mode Lsssssssss
Period 2/1
Range for bright generator 9\10 (1080¢) to 1\1 (1200¢)
Range for dark generator 0\1 (0¢) to 1\10 (120¢)
TAMNAMS name antisinaic
TAMNAMS prefix asina- (abbr. asi)
Parent MOS 1L 8s
Sister MOS 9L 1s
Daughter MOSes 10L 1s, 1L 10s
Equal tunings
Supersoft (L:s = 4:3) 28\31 (1083.9¢)
Soft (L:s = 3:2) 19\21 (1085.7¢)
Semisoft (L:s = 5:3) 29\32 (1087.5¢)
Basic (L:s = 2:1) 10\11 (1090.9¢)
Semihard (L:s = 5:2) 21\23 (1095.7¢)
Hard (L:s = 3:1) 11\12 (1100¢)
Superhard (L:s = 4:1) 12\13 (1107.7¢)

1L 9s, also called antisinaic, is a moment of symmetry scale consisting of 1 large step and 9 small steps, repeating every octave. This scale is made using a generator ranging from 1080¢ to 1200¢, or from 0¢ to 120¢.

This MOS is also called the "Happy" decatonic scale in Graham Breed's naming system. It is the simplest MOS which may be used as a complete version of Miracle temperament, which is also its harmonic entropy minimum.

Modes

  • 9|0 Lsssssssss
  • 8|1 sLssssssss
  • 7|2 ssLsssssss
  • 6|3 sssLssssss
  • 5|4 ssssLsssss
  • 4|5 sssssLssss
  • 3|6 ssssssLsss
  • 2|7 sssssssLss
  • 1|8 ssssssssLs
  • 0|9 sssssssssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 1080 cents (9\10) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 120 cents (1\10)
Small step
(chroma-negative generator)
Cents L s L/s Comments
1\10 120.000 1 1 1.000
5\51 117.647 6 5 1.200
4\41 117.073 5 4 1.250
7\72 116.667 9 7 1.286 Miracle
3\31 116.129 4 3 1.333
8\83 115.663 11 8 1.375
5\52 115.385 7 5 1.400
7\73 115.068 10 7 1.429
2\21 114.286 3 2 1.500
7\74 113.514 11 7 1.571
5\53 113.208 8 5 1.600
8\85 112.941 13 8 1.625 Golden misneb (113.0153¢)
3\32 112.500 5 3 1.667
7\75 112.000 12 7 1.714
4\43 111.628 7 4 1.750
5\54 111.111 9 5 1.800
1\11 109.091 2 1 2.000 Basic 1L 9s
(small steps larger than this are proper)
4\45 106.667 9 4 2.250
3\34 105.882 7 3 2.333
5\57 105.263 12 5 2.400
2\23 104.348 5 2 2.500
5\58 103.448 13 5 2.600 Golden ripple (103.2877¢)
3\35 102.857 8 3 2.667
4\47 102.128 11 4 2.750
1\12 100.000 3 1 3.000 Ripple
3\37 97.297 10 3 3.333 Passion
2\25 96.000 7 2 3.500
3\38 94.737 11 3 3.667
1\13 92.308 4 1 4.000
2\27 88.889 9 2 4.500
1\14 85.714 5 1 5.000
1\15 80.000 6 1 6.000 Valentine
0\1 0.000 1 0 → inf