1L 8s

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1L 8s
Brightest mode Lssssssss
Period 2/1
Range for bright generator 8\9 (1,066.7¢) to 1\1 (1,200.0¢)
Range for dark generator 0\1 (0.0¢) to 1\9 (133.3¢)
Parent MOS 1L 7s
Daughter MOSes 9L 1s, 1L 9s
Sister MOS 8L 1s
Equal tunings
Supersoft (L:s = 4:3) 25\28 (1,071.4¢)
Soft (L:s = 3:2) 17\19 (1,073.7¢)
Semisoft (L:s = 5:3) 26\29 (1,075.9¢)
Basic (L:s = 2:1) 9\10 (1,080.0¢)
Semihard (L:s = 5:2) 19\21 (1,085.7¢)
Hard (L:s = 3:1) 10\11 (1,090.9¢)
Superhard (L:s = 4:1) 11\12 (1,100.0¢)

1L 8s is the MOS pattern Lssssssss with small steps ranging from 0\1 (0¢) to 1\9 (one step of 9edo = 133.3¢).

This MOS represents temperaments like Miracle and Negri. Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3\28 (around 14/13).

Modes

  • 8|0 Lssssssss
  • 7|1 sLsssssss
  • 6|2 ssLssssss
  • 5|3 sssLsssss
  • 4|4 ssssLssss
  • 3|5 sssssLsss
  • 2|6 ssssssLss
  • 1|7 sssssssLs
  • 0|8 ssssssssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 1066.6667 cents (8\9) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 133.3333 cents (1\9)
Small step
(chroma-negative generator)
Cents L s L/s Comments
1\9 133.333 1 1 1.000
5\46 130.435 6 5 1.200
4\37 129.730 5 4 1.250
7\65 129.231 9 7 1.286
3\28 128.571 4 3 1.333
8\75 128.000 11 8 1.375
5\47 127.660 7 5 1.400
7\66 127.273 10 7 1.429
2\19 126.316 3 2 1.500 Negri
7\67 125.373 11 7 1.571
5\48 125.000 8 5 1.600
8\77 124.675 13 8 1.625 Golden negri (124.7656¢)
3\29 124.138 5 3 1.667
7\68 123.529 12 7 1.714
4\39 123.077 7 4 1.750
5\49 122.449 9 5 1.800
1\10 120.000 2 1 2.000 Basic 1L 8s
(small steps larger than this are proper)
4\41 117.073 9 4 2.250 Miracle
3\31 116.129 7 3 2.333 Miracle/revelation
5\52 115.385 12 5 2.400
2\21 114.286 5 2 2.500
5\53 113.208 13 5 2.600 Golden misneb (113.0153¢)
3\32 112.500 8 3 2.667
4\43 111.628 11 4 2.750
1\11 109.091 3 1 3.000
3\34 105.882 10 3 3.333
2\23 104.348 7 2 3.500
3\35 102.857 11 3 3.667
1\12 100.000 4 1 4.000 Ripple
2\25 96.000 9 2 4.500 Passion
1\13 92.308 5 1 5.000
1\14 85.714 6 1 6.000
0\1 0.000 1 0 → inf