1L 6s
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Brightest mode | Lssssss | |
Period | 2/1 | |
Range for bright generator | 6\7 (1,028.6¢) to 1\1 (1,200.0¢) | |
Range for dark generator | 0\1 (0.0¢) to 1\7 (171.4¢) | |
Parent MOS | 1L 5s | |
Daughter MOSes | 7L 1s, 1L 7s | |
Sister MOS | 6L 1s | |
TAMNAMS name | onyx | |
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 onyx) 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
Mode names are from Porcupine temperament modal harmony, proposed by William Lynch.
Mode | UDP | Mode name |
---|---|---|
Lssssss | 6|0 | chinchillian |
sLsssss | 5|1 | badgerian |
ssLssss | 4|2 | zebrian |
sssLsss | 3|3 | dingoian |
ssssLss | 2|4 | gazellian |
sssssLs | 1|5 | lemurian |
ssssssL | 0|6 | pandian |
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 onyx (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 |