1L 6s

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1L 6s
Pattern Lssssss
Period 2/1
Generator range 6\7 (1,028.6¢) to 1\1 (1,200.0¢)
Parent MOS 1L 5s
Daughter MOSes 7L 1s, 1L 7s
Sister MOS 6L 1s
Equal tunings
Supersoft (L:s = 4:3) 19\22 (1,036.4¢)
Soft (L:s = 3:2) 13\15 (1,040.0¢)
Semisoft (L:s = 5:3) 20\23 (1,043.5¢)
Basic (L:s = 2:1) 7\8 (1,050.0¢)
Semihard (L:s = 5:2) 15\17 (1,058.8¢)
Hard (L:s = 3:1) 8\9 (1,066.7¢)
Superhard (L:s = 4:1) 9\10 (1,080.0¢)

1L 6s or antiarcheotonic is the MOS pattern Lssssss with small steps ranging from 0\1 (0¢) to 1\7 (one step of 7edo = 171.4¢).

There is one notable low-harmonic-entropy scale with this MOS pattern: porcupine, in which two generators make a 6/5 and three make a 4/3.

Other scales include very improper (incomplete) versions of negri, 12edo, etc.

Modes

  • 6|0 Lssssss
  • 5|1 sLsssss
  • 4|2 ssLssss
  • 3|3 sssLsss
  • 2|4 ssssLss
  • 1|5 sssssLs
  • 0|6 ssssssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 1028.5714 cents (6\7) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 171.4286 cents (1\7)
Generator
(Chroma-positive)
Cents L s L/s Comments
Chroma-positive Chroma-negative
6\7 1028.571 171.429 1 1 1.000
31\36 1033.333 166.667 6 5 1.200
25\29 1034.483 165.517 5 4 1.250
44\51 1035.294 164.706 9 7 1.286
19\22 1036.364 163.636 4 3 1.333
51\59 1037.288 162.712 11 8 1.375 Porcupine/porcupinefish is around here
32\37 1037.838 162.162 7 5 1.400
45\52 1038.462 161.538 10 7 1.429
13\15 1040.000 160.000 3 2 1.500
46\53 1041.509 158.491 11 7 1.571 Hemikleismic
33\38 1042.105 157.895 8 5 1.600
53\61 1042.623 157.377 13 8 1.625 Wilson Golden 1 (1042.4790¢)
20\23 1043.478 156.522 5 3 1.667
47\54 1044.444 155.556 12 7 1.714
27\31 1045.161 154.839 7 4 1.750 Nusecond
34\39 1046.154 153.846 9 5 1.800
7\8 1050.000 150.000 2 1 2.000 Basic antiarcheotonic
(Generators smaller than this are proper)
29\33 1054.545 145.455 9 4 2.250
22\25 1056.000 144.000 7 3 2.333
37\42 1057.143 142.857 12 5 2.400
15\17 1058.824 141.176 5 2 2.500 Progression (incomplete)
38\43 1060.465 139.535 13 5 2.600 Golden jerome (1060.7571¢)
23\26 1061.538 138.462 8 3 2.667
31\35 1062.857 137.143 11 4 2.750
8\9 1066.667 133.333 3 1 3.000
25\28 1071.429 128.571 10 3 3.333
17\19 1073.684 126.316 7 2 3.500 Negri (incomplete)
26\29 1075.862 124.138 11 3 3.667
9\10 1080.000 120.000 4 1 4.000
19\21 1085.714 114.286 9 2 4.500 Miracle (incomplete)
10\11 1090.909 109.091 5 1 5.000
11\12 1100.000 100.000 6 1 6.000 Passion, ripple (incomplete)
1\1 1200.000 0.000 1 0 → inf