1L 7s

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1L 7s
Brightest mode Lsssssss
Period 2/1
Range for bright generator 7\8 (1,050.0¢) to 1\1 (1,200.0¢)
Range for dark generator 0\1 (0.0¢) to 1\8 (150.0¢)
Parent MOS 1L 6s
Daughter MOSes 8L 1s, 1L 8s
Sister MOS 7L 1s
Equal tunings
Supersoft (L:s = 4:3) 22\25 (1,056.0¢)
Soft (L:s = 3:2) 15\17 (1,058.8¢)
Semisoft (L:s = 5:3) 23\26 (1,061.5¢)
Basic (L:s = 2:1) 8\9 (1,066.7¢)
Semihard (L:s = 5:2) 17\19 (1,073.7¢)
Hard (L:s = 3:1) 9\10 (1,080.0¢)
Superhard (L:s = 4:1) 10\11 (1,090.9¢)

1L 7s is the MOS pattern Lsssssss with small steps ranging from 0\1 (0¢) to 1\8 (one step of 8edo = 150¢).

This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, bleu. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.

Modes

  • 7|0 Lsssssss
  • 6|1 sLssssss
  • 5|2 ssLsssss
  • 4|3 sssLssss
  • 3|4 ssssLsss
  • 2|5 sssssLss
  • 1|6 ssssssLs
  • 0|7 sssssssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 1050 cents (7\8) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 150 cents (1\8)
Small step
(chroma-negative generator)
Cents L s L/s Comments
1\8 150.000 1 1 1.000
5\41 146.341 6 5 1.200 Bohpier
4\33 145.455 5 4 1.250
7\58 144.828 9 7 1.286
3\25 144.000 4 3 1.333
8\67 143.284 11 8 1.375
5\42 142.857 7 5 1.400
7\59 142.373 10 7 1.429
2\17 141.176 3 2 1.500
7\60 140.000 11 7 1.571 Bleu
5\43 139.535 8 5 1.600 Jerome/bleu
8\69 139.130 13 8 1.625 Golden jerome (139.2429¢)
3\26 138.462 5 3 1.667
7\61 137.705 12 7 1.714
4\35 137.143 7 4 1.750
5\44 136.364 9 5 1.800 Twothirdtonic
1\9 133.333 2 1 2.000 Basic 1L 7s
(small steps larger than this are proper)
4\37 129.730 9 4 2.250
3\28 128.571 7 3 2.333
5\47 127.660 12 5 2.400
2\19 126.316 5 2 2.500 Negri
5\48 125.000 13 5 2.600 Golden negri (124.7656¢)
3\29 124.138 8 3 2.667
4\39 123.077 11 4 2.750
1\10 120.000 3 1 3.000
3\31 116.129 10 3 3.333 Miracle
2\21 114.286 7 2 3.500
3\32 112.500 11 3 3.667
1\11 109.091 4 1 4.000
2\23 104.348 9 2 4.500
1\12 100.000 5 1 5.000 Passion, ripple
1\13 92.308 6 1 6.000
0\1 0.000 1 0 → inf

Trivia

This scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years. Curiously enough, one short step of this scale is close to the one step of Bohlen-Pierce.