1L 9s

Revision as of 23:16, 24 July 2024 by Nick Vuci (talk | contribs) (Modes: changes MOS mode degrees template to MOS modes template due to size constraints)
↑ 1L 8s 2L 8s ↗
1L 9s 2L 9s →
↓ 1L 10s 2L 10s ↘
┌╥┬┬┬┬┬┬┬┬┬┐
│║││││││││││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern Lsssssssss
sssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\10 to 1\1 (1080.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\10 (0.0 ¢ to 120.0 ¢)
TAMNAMS information
Name antisinatonic
Prefix asina-
Abbrev. asi
Related MOS scales
Parent 1L 8s
Sister 9L 1s
Daughters 10L 1s, 1L 10s
Neutralized 2L 8s
2-Flought 11L 9s, 1L 19s
Equal tunings
Equalized (L:s = 1:1) 9\10 (1080.0 ¢)
Supersoft (L:s = 4:3) 28\31 (1083.9 ¢)
Soft (L:s = 3:2) 19\21 (1085.7 ¢)
Semisoft (L:s = 5:3) 29\32 (1087.5 ¢)
Basic (L:s = 2:1) 10\11 (1090.9 ¢)
Semihard (L:s = 5:2) 21\23 (1095.7 ¢)
Hard (L:s = 3:1) 11\12 (1100.0 ¢)
Superhard (L:s = 4:1) 12\13 (1107.7 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 9s, named antisinatonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 9 small steps, repeating every octave. Generators that produce this scale range from 1080 ¢ to 1200 ¢, or from 0 ¢ to 120 ¢. This scale is the simplest MOS which may be used as a complete version[clarification needed] of Miracle temperament, which is also its harmonic entropy minimum.

This scale is known as the "Happy" decatonic scale in Graham Breed's naming system.

Modes

Modes of 1L 9s
UDP Cyclic
order
Step
pattern
9|0 1 Lsssssssss
8|1 10 sLssssssss
7|2 9 ssLsssssss
6|3 8 sssLssssss
5|4 7 ssssLsssss
4|5 6 sssssLssss
3|6 5 ssssssLsss
2|7 4 sssssssLss
1|8 3 ssssssssLs
0|9 2 sssssssssL

Scale tree

Template:Scale tree