1L 11s

From Xenharmonic Wiki
Revision as of 20:51, 22 September 2024 by ArrowHead294 (talk | contribs) (Adopt scale tree template)
Jump to navigation Jump to search
↑ 1L 10s 2L 10s ↗
1L 11s 2L 11s →
↓ 1L 12s 2L 12s ↘
┌╥┬┬┬┬┬┬┬┬┬┬┬┐
│║││││││││││││
││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern Lsssssssssss
sssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\12 to 1\1 (1100.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\12 (0.0 ¢ to 100.0 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 1L 10s
Sister 11L 1s
Daughters 12L 1s, 1L 12s
Neutralized 2L 10s
2-Flought 13L 11s, 1L 23s
Equal tunings
Equalized (L:s = 1:1) 11\12 (1100.0 ¢)
Supersoft (L:s = 4:3) 34\37 (1102.7 ¢)
Soft (L:s = 3:2) 23\25 (1104.0 ¢)
Semisoft (L:s = 5:3) 35\38 (1105.3 ¢)
Basic (L:s = 2:1) 12\13 (1107.7 ¢)
Semihard (L:s = 5:2) 25\27 (1111.1 ¢)
Hard (L:s = 3:1) 13\14 (1114.3 ¢)
Superhard (L:s = 4:1) 14\15 (1120.0 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 11 small steps, repeating every octave. 1L 11s is a grandchild scale of 1L 9s, expanding it by 2 tones. Generators that produce this scale range from 1100 ¢ to 1200 ¢, or from 0 ¢ to 100 ¢. The simplest absolute harmonic entropy minimum for it is where +7 generators equals a meantone fifth, or passion (5;4 = +3 generators), and even there it implies a val with warts for 3 and (for the most part) 5.

Modes

Modes of 1L 11s
UDP Cyclic
order
Step
pattern
11|0 1 Lsssssssssss
10|1 12 sLssssssssss
9|2 11 ssLsssssssss
8|3 10 sssLssssssss
7|4 9 ssssLsssssss
6|5 8 sssssLssssss
5|6 7 ssssssLsssss
4|7 6 sssssssLssss
3|8 5 ssssssssLsss
2|9 4 sssssssssLss
1|10 3 ssssssssssLs
0|11 2 sssssssssssL

Scale tree

Generator ranges:

  • Chroma-positive generator: 1100 cents (11\12) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 100 cents (1\12)

Template:Scale tree