10L 1s

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Revision as of 06:43, 15 December 2024 by BudjarnLambeth (talk | contribs) (== Intervals == {{MOS intervals}})
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← 9L 1s 10L 1s 11L 1s →
↙ 9L 2s ↓ 10L 2s 11L 2s ↘
┌╥╥╥╥╥╥╥╥╥╥┬┐
│║║║║║║║║║║││
│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLLLLs
sLLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\11 to 1\10 (109.1 ¢ to 120.0 ¢)
Dark 9\10 to 10\11 (1080.0 ¢ to 1090.9 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 1L 9s
Sister 1L 10s
Daughters 11L 10s, 10L 11s
Neutralized 9L 2s
2-Flought 21L 1s, 10L 12s
Equal tunings
Equalized (L:s = 1:1) 1\11 (109.1 ¢)
Supersoft (L:s = 4:3) 4\43 (111.6 ¢)
Soft (L:s = 3:2) 3\32 (112.5 ¢)
Semisoft (L:s = 5:3) 5\53 (113.2 ¢)
Basic (L:s = 2:1) 2\21 (114.3 ¢)
Semihard (L:s = 5:2) 5\52 (115.4 ¢)
Hard (L:s = 3:1) 3\31 (116.1 ¢)
Superhard (L:s = 4:1) 4\41 (117.1 ¢)
Collapsed (L:s = 1:0) 1\10 (120.0 ¢)

10L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 1 small step, repeating every octave. 10L 1s is a child scale of 1L 9s, expanding it by 1 tones. Generators that produce this scale range from 109.1 ¢ to 120 ¢, or from 1080 ¢ to 1090.9 ¢. Scales of this form are always proper because there is only one small step. This MOS functions as the superdiatonic scale[clarification needed] of Miracle temperment.

Modes

Modes of 10L 1s
UDP Cyclic
order
Step
pattern
10|0 1 LLLLLLLLLLs
9|1 2 LLLLLLLLLsL
8|2 3 LLLLLLLLsLL
7|3 4 LLLLLLLsLLL
6|4 5 LLLLLLsLLLL
5|5 6 LLLLLsLLLLL
4|6 7 LLLLsLLLLLL
3|7 8 LLLsLLLLLLL
2|8 9 LLsLLLLLLLL
1|9 10 LsLLLLLLLLL
0|10 11 sLLLLLLLLLL

Intervals

Intervals of 10L 1s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Diminished 1-mosstep d1ms s 0.0 ¢ to 109.1 ¢
Perfect 1-mosstep P1ms L 109.1 ¢ to 120.0 ¢
2-mosstep Minor 2-mosstep m2ms L + s 120.0 ¢ to 218.2 ¢
Major 2-mosstep M2ms 2L 218.2 ¢ to 240.0 ¢
3-mosstep Minor 3-mosstep m3ms 2L + s 240.0 ¢ to 327.3 ¢
Major 3-mosstep M3ms 3L 327.3 ¢ to 360.0 ¢
4-mosstep Minor 4-mosstep m4ms 3L + s 360.0 ¢ to 436.4 ¢
Major 4-mosstep M4ms 4L 436.4 ¢ to 480.0 ¢
5-mosstep Minor 5-mosstep m5ms 4L + s 480.0 ¢ to 545.5 ¢
Major 5-mosstep M5ms 5L 545.5 ¢ to 600.0 ¢
6-mosstep Minor 6-mosstep m6ms 5L + s 600.0 ¢ to 654.5 ¢
Major 6-mosstep M6ms 6L 654.5 ¢ to 720.0 ¢
7-mosstep Minor 7-mosstep m7ms 6L + s 720.0 ¢ to 763.6 ¢
Major 7-mosstep M7ms 7L 763.6 ¢ to 840.0 ¢
8-mosstep Minor 8-mosstep m8ms 7L + s 840.0 ¢ to 872.7 ¢
Major 8-mosstep M8ms 8L 872.7 ¢ to 960.0 ¢
9-mosstep Minor 9-mosstep m9ms 8L + s 960.0 ¢ to 981.8 ¢
Major 9-mosstep M9ms 9L 981.8 ¢ to 1080.0 ¢
10-mosstep Perfect 10-mosstep P10ms 9L + s 1080.0 ¢ to 1090.9 ¢
Augmented 10-mosstep A10ms 10L 1090.9 ¢ to 1200.0 ¢
11-mosstep Perfect 11-mosstep P11ms 10L + s 1200.0 ¢

Scale tree

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