10L 3s (19/9-equivalent): 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}}

Revision as of 06:46, 15 December 2024

↖ 9L 2s⟨19/9⟩ ↑ 10L 2s⟨19/9⟩ 11L 2s⟨19/9⟩ ↗
← 9L 3s⟨19/9⟩ 10L 3s (19/9-equivalent) 11L 3s⟨19/9⟩ →
↙ 9L 4s⟨19/9⟩ ↓ 10L 4s⟨19/9⟩ 11L 4s⟨19/9⟩ ↘
┌╥╥╥╥┬╥╥╥┬╥╥╥┬┐
│║║║║│║║║│║║║││
│││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLsLLLs
sLLLsLLLsLLLL
Equave 19/9 (1293.6 ¢)
Period 19/9 (1293.6 ¢)
Generator size(ed19/9)
Bright 9\13 to 7\10 (895.6 ¢ to 905.5 ¢)
Dark 3\10 to 4\13 (388.1 ¢ to 398.0 ¢)
Related MOS scales
Parent 3L 7s⟨19/9⟩
Sister 3L 10s⟨19/9⟩
Daughters 13L 10s⟨19/9⟩, 10L 13s⟨19/9⟩
Neutralized 7L 6s⟨19/9⟩
2-Flought 23L 3s⟨19/9⟩, 10L 16s⟨19/9⟩
Equal tunings(ed19/9)
Equalized (L:s = 1:1) 9\13 (895.6 ¢)
Supersoft (L:s = 4:3) 34\49 (897.6 ¢)
Soft (L:s = 3:2) 25\36 (898.3 ¢)
Semisoft (L:s = 5:3) 41\59 (898.9 ¢)
Basic (L:s = 2:1) 16\23 (899.9 ¢)
Semihard (L:s = 5:2) 39\56 (900.9 ¢)
Hard (L:s = 3:1) 23\33 (901.6 ¢)
Superhard (L:s = 4:1) 30\43 (902.5 ¢)
Collapsed (L:s = 1:0) 7\10 (905.5 ¢)

10L 3s⟨19/9⟩ is a 19/9-equivalent (non-octave) moment of symmetry scale containing 10 large steps and 3 small steps, repeating every interval of 19/9 (1293.6 ¢). Generators that produce this scale range from 895.6 ¢ to 905.5 ¢, or from 388.1 ¢ to 398 ¢.

Modes

Modes of 10L 3s⟨19/9⟩
UDP Cyclic
order
Step
pattern
12|0 1 LLLLsLLLsLLLs
11|1 10 LLLsLLLLsLLLs
10|2 6 LLLsLLLsLLLLs
9|3 2 LLLsLLLsLLLsL
8|4 11 LLsLLLLsLLLsL
7|5 7 LLsLLLsLLLLsL
6|6 3 LLsLLLsLLLsLL
5|7 12 LsLLLLsLLLsLL
4|8 8 LsLLLsLLLLsLL
3|9 4 LsLLLsLLLsLLL
2|10 13 sLLLLsLLLsLLL
1|11 9 sLLLsLLLLsLLL
0|12 5 sLLLsLLLsLLLL

Intervals

Intervals of 10L 3s⟨19/9⟩
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 99.5 ¢
Major 1-mosstep M1ms L 99.5 ¢ to 129.4 ¢
2-mosstep Minor 2-mosstep m2ms L + s 129.4 ¢ to 199.0 ¢
Major 2-mosstep M2ms 2L 199.0 ¢ to 258.7 ¢
3-mosstep Minor 3-mosstep m3ms 2L + s 258.7 ¢ to 298.5 ¢
Major 3-mosstep M3ms 3L 298.5 ¢ to 388.1 ¢
4-mosstep Perfect 4-mosstep P4ms 3L + s 388.1 ¢ to 398.0 ¢
Augmented 4-mosstep A4ms 4L 398.0 ¢ to 517.4 ¢
5-mosstep Minor 5-mosstep m5ms 3L + 2s 388.1 ¢ to 497.5 ¢
Major 5-mosstep M5ms 4L + s 497.5 ¢ to 517.4 ¢
6-mosstep Minor 6-mosstep m6ms 4L + 2s 517.4 ¢ to 597.0 ¢
Major 6-mosstep M6ms 5L + s 597.0 ¢ to 646.8 ¢
7-mosstep Minor 7-mosstep m7ms 5L + 2s 646.8 ¢ to 696.6 ¢
Major 7-mosstep M7ms 6L + s 696.6 ¢ to 776.2 ¢
8-mosstep Minor 8-mosstep m8ms 6L + 2s 776.2 ¢ to 796.1 ¢
Major 8-mosstep M8ms 7L + s 796.1 ¢ to 905.5 ¢
9-mosstep Diminished 9-mosstep d9ms 6L + 3s 776.2 ¢ to 895.6 ¢
Perfect 9-mosstep P9ms 7L + 2s 895.6 ¢ to 905.5 ¢
10-mosstep Minor 10-mosstep m10ms 7L + 3s 905.5 ¢ to 995.1 ¢
Major 10-mosstep M10ms 8L + 2s 995.1 ¢ to 1034.9 ¢
11-mosstep Minor 11-mosstep m11ms 8L + 3s 1034.9 ¢ to 1094.6 ¢
Major 11-mosstep M11ms 9L + 2s 1094.6 ¢ to 1164.2 ¢
12-mosstep Minor 12-mosstep m12ms 9L + 3s 1164.2 ¢ to 1194.1 ¢
Major 12-mosstep M12ms 10L + 2s 1194.1 ¢ to 1293.6 ¢
13-mosstep Perfect 13-mosstep P13ms 10L + 3s 1293.6 ¢

Scale tree

Template:Scale tree