1L 6s

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↑ 1L 5s 2L 5s ↗
1L 6s 2L 6s →
↓ 1L 7s 2L 7s ↘
Scale structure
Step pattern Lssssss
ssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 6\7 to 1\1 (1028.6 ¢ to 1200.0 ¢)
Dark 0\1 to 1\7 (0.0 ¢ to 171.4 ¢)
TAMNAMS information
Name onyx
Prefix on-
Abbrev. on
Related MOS scales
Parent 1L 5s
Sister 6L 1s
Daughters 7L 1s, 1L 7s
Neutralized 2L 5s
2-Flought 8L 6s, 1L 13s
Equal tunings
Equalized (L:s = 1:1) 6\7 (1028.6 ¢)
Supersoft (L:s = 4:3) 19\22 (1036.4 ¢)
Soft (L:s = 3:2) 13\15 (1040.0 ¢)
Semisoft (L:s = 5:3) 20\23 (1043.5 ¢)
Basic (L:s = 2:1) 7\8 (1050.0 ¢)
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 (1080.0 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)
ViewTalkEdit

1L 6s, named onyx in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 6 small steps, repeating every octave. Generators that produce this scale range from 1028.6 ¢ to 1200 ¢, or from 0 ¢ to 171.4 ¢.

Name

TAMNAMS suggests the temperament-agnostic name onyx as the name of 1L 6s.

Scale properties

Template:MOS data is deprecated.

Details: Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Proposed names

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

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¢).

Scale tree

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 1L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
6\7 1028.571 171.429 1:1 1.000 Equalized 1L 6s
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 Supersoft 1L 6s
51\59 1037.288 162.712 11:8 1.375
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 Soft 1L 6s
46\53 1041.509 158.491 11:7 1.571
33\38 1042.105 157.895 8:5 1.600
53\61 1042.623 157.377 13:8 1.625
20\23 1043.478 156.522 5:3 1.667 Semisoft 1L 6s
47\54 1044.444 155.556 12:7 1.714
27\31 1045.161 154.839 7:4 1.750
34\39 1046.154 153.846 9:5 1.800
7\8 1050.000 150.000 2:1 2.000 Basic 1L 6s
Scales with tunings softer 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 Semihard 1L 6s
38\43 1060.465 139.535 13:5 2.600
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 Hard 1L 6s
25\28 1071.429 128.571 10:3 3.333
17\19 1073.684 126.316 7:2 3.500
26\29 1075.862 124.138 11:3 3.667
9\10 1080.000 120.000 4:1 4.000 Superhard 1L 6s
19\21 1085.714 114.286 9:2 4.500
10\11 1090.909 109.091 5:1 5.000
11\12 1100.000 100.000 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 6s