1L 10s

Revision as of 22:33, 22 September 2024 by Ganaram inukshuk (talk | contribs) (put todo back)
↑ 1L 9s 2L 9s ↗
1L 10s 2L 10s →
↓ 1L 11s 2L 11s ↘
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└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern Lssssssssss
ssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 10\11 to 1\1 (1090.9 ¢ to 1200.0 ¢)
Dark 0\1 to 1\11 (0.0 ¢ to 109.1 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 1L 9s
Sister 10L 1s
Daughters 11L 1s, 1L 11s
Neutralized 2L 9s
2-Flought 12L 10s, 1L 21s
Equal tunings
Equalized (L:s = 1:1) 10\11 (1090.9 ¢)
Supersoft (L:s = 4:3) 31\34 (1094.1 ¢)
Soft (L:s = 3:2) 21\23 (1095.7 ¢)
Semisoft (L:s = 5:3) 32\35 (1097.1 ¢)
Basic (L:s = 2:1) 11\12 (1100.0 ¢)
Semihard (L:s = 5:2) 23\25 (1104.0 ¢)
Hard (L:s = 3:1) 12\13 (1107.7 ¢)
Superhard (L:s = 4:1) 13\14 (1114.3 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 10 small steps, repeating every octave. 1L 10s is a child scale of 1L 9s, expanding it by 1 tones. Generators that produce this scale range from 1090.9 ¢ to 1200 ¢, or from 0 ¢ to 109.1 ¢. This MOS achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5 = +3 generators), Octacot (3/2 = +8 generators), Nautilus (3/2 = -6 generators) and Valentine (7/4 = -3 generators).

Modes

Modes of 1L 10s
UDP Cyclic
order
Step
pattern
10|0 1 Lssssssssss
9|1 11 sLsssssssss
8|2 10 ssLssssssss
7|3 9 sssLsssssss
6|4 8 ssssLssssss
5|5 7 sssssLsssss
4|6 6 ssssssLssss
3|7 5 sssssssLsss
2|8 4 ssssssssLss
1|9 3 sssssssssLs
0|10 2 ssssssssssL

Scale tree

  Todo: review

Review entries from past page revision and enter them into the scale tree.

Generator ranges:

  • Chroma-positive generator: 1090.9091 cents (10\11) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 109.0909 cents (1\11)

Template:Scale tree