1L 9s: Difference between revisions

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This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale in Graham Breed's system, or, potentially, antisinatonic in [[TAMNAMS]] by analogy to its sister MOS. It is the simplest MOS which may be used as a complete version of [[Miracle]] temperament, which is also its harmonic entropy minimum.
 
{{Infobox MOS
| Name =
| Periods = 1
| nLargeSteps = 1
| nSmallSteps = 9
| Equalized = 1
| Paucitonic = 0
| Pattern = Lsssssssss
}}


{| class="wikitable"
{| class="wikitable"

Revision as of 14:46, 13 May 2021

This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale in Graham Breed's system, or, potentially, antisinatonic in TAMNAMS by analogy to its sister MOS. It is the simplest MOS which may be used as a complete version of Miracle temperament, which is also its harmonic entropy minimum.

↑ 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 ¢)
ViewTalkEdit
Generator

(octave fraction)

Generator

(cents)

Comments
0\1 0
1\14 85.714
1\13 92.308 L/s = 4
2\25 96
1200/(9+pi)
1\12 100 L/s = 3
1200/(9+e)
3\35 102.857
1200/(10+phi)
2\23 104.348
3\34 105.882
1\11 109.091 L/s = 2
1200/(9+sqrt(3))
4\43 111.628
3\32 112.5
1200/(9+phi)
5\53 113.2075
1200/(9+pi/2)
2\21 114.286 L/s = 3/2
5\52 115.385
3\31 116.129 Miracle is in this region
4\41 117.073
1\10 120