1L 6s
Jump to navigation
Jump to search
Brightest mode
Lssssss
Period
2/1
Range for bright generator
6\7 (1028.6¢) to 1\1 (1200¢)
Range for dark generator
0\1 (0¢) to 1\7 (171.4¢)
TAMNAMS name
onyx
TAMNAMS prefix
on-
Parent MOS
1L 5s
Sister MOS
6L 1s
Daughter MOSes
7L 1s, 1L 7s
Equal tunings
Supersoft (L:s = 4:3)
19\22 (1036.4¢)
Soft (L:s = 3:2)
13\15 (1040¢)
Semisoft (L:s = 5:3)
20\23 (1043.5¢)
Basic (L:s = 2:1)
7\8 (1050¢)
Semihard (L:s = 5:2)
15\17 (1058.8¢)
Hard (L:s = 3:1)
8\9 (1066.7¢)
Superhard (L:s = 4:1)
9\10 (1080¢)
↑1L 5s | 2L 5s↗ | |
1L 6s | 2L 6s→ | |
↓1L 7s | 2L 7s↘ |
1L 6s, also called onyx, is a moment of symmetry scale consisting of 1 large step and 6 small steps, repeating every octave. This scale is made using a generator ranging from 1028.571¢ to 1200¢, or from 0¢ to 171.429¢.
Name
TAMNAMS suggests the temperament-agnostic name onyx for this scale. The name comes from a lot of naming puns and references, namely:
- The name sounds like its step counts of one large step and six small steps.
- Onyxes come in different colors and types, which is a metaphor for this scale's generator range being quite large and containing the generator ranges of other MOS scales, such as 7L 1s, 8L 1s, and 9L 1s.
Theory
Low harmonic entropy scales
There is one notable harmonic entropy minimum: porcupine, in which the generator is around 150¢ to 170¢, two generators make a 6/5 (315.6¢), and three make a 4/3 (498¢).
Modes
Mode names are from Porcupine temperament modal harmony, proposed by William Lynch. Descriptive mode names reference the page's original descriptions of the modes.
Mode | UDP | Mode name | Descriptive mode name |
---|---|---|---|
Lssssss | 6|0 | chinchillian | Bright major |
sLsssss | 5|1 | badgerian | Dark major |
ssLssss | 4|2 | zebrian | Bright minor |
sssLsss | 3|3 | dingoian | Symmetric minor |
ssssLss | 2|4 | gazellian | Bright diminished |
sssssLs | 1|5 | lemurian | Dark diminished |
ssssssL | 0|6 | pandian | Magical seventh |
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 |