1L 6s

Revision as of 23:02, 24 July 2024 by Nick Vuci (talk | contribs) (Modes: added MOS mode degrees template, added "proposed names" subheading)
↑ 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 ¢)

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 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

Scale degrees of the modes of 1L 6s
UDP Cyclic
order
Step
pattern
Scale degree (ondegree)
0 1 2 3 4 5 6 7
6|0 1 Lssssss Perf. Aug. Maj. Maj. Maj. Maj. Perf. Perf.
5|1 7 sLsssss Perf. Perf. Maj. Maj. Maj. Maj. Perf. Perf.
4|2 6 ssLssss Perf. Perf. Min. Maj. Maj. Maj. Perf. Perf.
3|3 5 sssLsss Perf. Perf. Min. Min. Maj. Maj. Perf. Perf.
2|4 4 ssssLss Perf. Perf. Min. Min. Min. Maj. Perf. Perf.
1|5 3 sssssLs Perf. Perf. Min. Min. Min. Min. Perf. Perf.
0|6 2 ssssssL Perf. Perf. Min. Min. Min. Min. Dim. Perf.

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

Scale tree

Template:Scale tree