7L 11s: Difference between revisions

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m == Intervals == {{MOS intervals}}
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== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Intervals ==
{{MOS intervals}}
== Scale tree ==
== Scale tree ==
{{Scale tree}}
{{Scale tree}}
{{stub}}

Revision as of 01:36, 16 December 2024

↖ 6L 10s ↑ 7L 10s 8L 10s ↗
← 6L 11s 7L 11s 8L 11s →
↙ 6L 12s ↓ 7L 12s 8L 12s ↘
┌╥┬╥┬┬╥┬╥┬┬╥┬╥┬┬╥┬┬┐
│║│║││║│║││║│║││║│││
││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLsLssLsLssLss
ssLssLsLssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\18 to 2\7 (333.3 ¢ to 342.9 ¢)
Dark 5\7 to 13\18 (857.1 ¢ to 866.7 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 7L 4s
Sister 11L 7s
Daughters 18L 7s, 7L 18s
Neutralized 14L 4s
2-Flought 25L 11s, 7L 29s
Equal tunings
Equalized (L:s = 1:1) 5\18 (333.3 ¢)
Supersoft (L:s = 4:3) 17\61 (334.4 ¢)
Soft (L:s = 3:2) 12\43 (334.9 ¢)
Semisoft (L:s = 5:3) 19\68 (335.3 ¢)
Basic (L:s = 2:1) 7\25 (336.0 ¢)
Semihard (L:s = 5:2) 16\57 (336.8 ¢)
Hard (L:s = 3:1) 9\32 (337.5 ¢)
Superhard (L:s = 4:1) 11\39 (338.5 ¢)
Collapsed (L:s = 1:0) 2\7 (342.9 ¢)

7L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 11 small steps, repeating every octave. 7L 11s is a grandchild scale of 4L 3s, expanding it by 11 tones. Generators that produce this scale range from 333.3 ¢ to 342.9 ¢, or from 857.1 ¢ to 866.7 ¢.

Modes

Modes of 7L 11s
UDP Cyclic
order
Step
pattern
17|0 1 LsLssLsLssLsLssLss
16|1 6 LsLssLsLssLssLsLss
15|2 11 LsLssLssLsLssLsLss
14|3 16 LssLsLssLsLssLsLss
13|4 3 LssLsLssLsLssLssLs
12|5 8 LssLsLssLssLsLssLs
11|6 13 LssLssLsLssLsLssLs
10|7 18 sLsLssLsLssLsLssLs
9|8 5 sLsLssLsLssLssLsLs
8|9 10 sLsLssLssLsLssLsLs
7|10 15 sLssLsLssLsLssLsLs
6|11 2 sLssLsLssLsLssLssL
5|12 7 sLssLsLssLssLsLssL
4|13 12 sLssLssLsLssLsLssL
3|14 17 ssLsLssLsLssLsLssL
2|15 4 ssLsLssLsLssLssLsL
1|16 9 ssLsLssLssLsLssLsL
0|17 14 ssLssLsLssLsLssLsL

Intervals

Intervals of 7L 11s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 66.7 ¢
Major 1-mosstep M1ms L 66.7 ¢ to 171.4 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 133.3 ¢
Major 2-mosstep M2ms L + s 133.3 ¢ to 171.4 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 171.4 ¢ to 200.0 ¢
Major 3-mosstep M3ms 2L + s 200.0 ¢ to 342.9 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 171.4 ¢ to 266.7 ¢
Major 4-mosstep M4ms 2L + 2s 266.7 ¢ to 342.9 ¢
5-mosstep Diminished 5-mosstep d5ms L + 4s 171.4 ¢ to 333.3 ¢
Perfect 5-mosstep P5ms 2L + 3s 333.3 ¢ to 342.9 ¢
6-mosstep Minor 6-mosstep m6ms 2L + 4s 342.9 ¢ to 400.0 ¢
Major 6-mosstep M6ms 3L + 3s 400.0 ¢ to 514.3 ¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 342.9 ¢ to 466.7 ¢
Major 7-mosstep M7ms 3L + 4s 466.7 ¢ to 514.3 ¢
8-mosstep Minor 8-mosstep m8ms 3L + 5s 514.3 ¢ to 533.3 ¢
Major 8-mosstep M8ms 4L + 4s 533.3 ¢ to 685.7 ¢
9-mosstep Minor 9-mosstep m9ms 3L + 6s 514.3 ¢ to 600.0 ¢
Major 9-mosstep M9ms 4L + 5s 600.0 ¢ to 685.7 ¢
10-mosstep Minor 10-mosstep m10ms 3L + 7s 514.3 ¢ to 666.7 ¢
Major 10-mosstep M10ms 4L + 6s 666.7 ¢ to 685.7 ¢
11-mosstep Minor 11-mosstep m11ms 4L + 7s 685.7 ¢ to 733.3 ¢
Major 11-mosstep M11ms 5L + 6s 733.3 ¢ to 857.1 ¢
12-mosstep Minor 12-mosstep m12ms 4L + 8s 685.7 ¢ to 800.0 ¢
Major 12-mosstep M12ms 5L + 7s 800.0 ¢ to 857.1 ¢
13-mosstep Perfect 13-mosstep P13ms 5L + 8s 857.1 ¢ to 866.7 ¢
Augmented 13-mosstep A13ms 6L + 7s 866.7 ¢ to 1028.6 ¢
14-mosstep Minor 14-mosstep m14ms 5L + 9s 857.1 ¢ to 933.3 ¢
Major 14-mosstep M14ms 6L + 8s 933.3 ¢ to 1028.6 ¢
15-mosstep Minor 15-mosstep m15ms 5L + 10s 857.1 ¢ to 1000.0 ¢
Major 15-mosstep M15ms 6L + 9s 1000.0 ¢ to 1028.6 ¢
16-mosstep Minor 16-mosstep m16ms 6L + 10s 1028.6 ¢ to 1066.7 ¢
Major 16-mosstep M16ms 7L + 9s 1066.7 ¢ to 1200.0 ¢
17-mosstep Minor 17-mosstep m17ms 6L + 11s 1028.6 ¢ to 1133.3 ¢
Major 17-mosstep M17ms 7L + 10s 1133.3 ¢ to 1200.0 ¢
18-mosstep Perfect 18-mosstep P18ms 7L + 11s 1200.0 ¢

Scale tree

Template:Scale tree


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