2L 3s (3/1-equivalent)

Revision as of 00:32, 15 December 2024 by BudjarnLambeth (talk | contribs) (Add intervals, replace expand with stub bc stub more accurate)
↖ 1L 2s⟨3/1⟩ ↑ 2L 2s⟨3/1⟩ 3L 2s⟨3/1⟩ ↗
← 1L 3s⟨3/1⟩ 2L 3s (3/1-equivalent) 3L 3s⟨3/1⟩ →
↙ 1L 4s⟨3/1⟩ ↓ 2L 4s⟨3/1⟩ 3L 4s⟨3/1⟩ ↘
┌╥┬╥┬┬┐
│║│║│││
│││││││
└┴┴┴┴┴┘
Scale structure
Step pattern LsLss
ssLsL
Equave 3/1 (1902.0 ¢)
Period 3/1 (1902.0 ¢)
Generator size(edt)
Bright 2\5 to 1\2 (760.8 ¢ to 951.0 ¢)
Dark 1\2 to 3\5 (951.0 ¢ to 1141.2 ¢)
Related MOS scales
Parent 2L 1s⟨3/1⟩
Sister 3L 2s⟨3/1⟩
Daughters 5L 2s⟨3/1⟩, 2L 5s⟨3/1⟩
Neutralized 4L 1s⟨3/1⟩
2-Flought 7L 3s⟨3/1⟩, 2L 8s⟨3/1⟩
Equal tunings(edt)
Equalized (L:s = 1:1) 2\5 (760.8 ¢)
Supersoft (L:s = 4:3) 7\17 (783.2 ¢)
Soft (L:s = 3:2) 5\12 (792.5 ¢)
Semisoft (L:s = 5:3) 8\19 (800.8 ¢)
Basic (L:s = 2:1) 3\7 (815.1 ¢)
Semihard (L:s = 5:2) 7\16 (832.1 ¢)
Hard (L:s = 3:1) 4\9 (845.3 ¢)
Superhard (L:s = 4:1) 5\11 (864.5 ¢)
Collapsed (L:s = 1:0) 1\2 (951.0 ¢)

2L 3s⟨3/1⟩ is a 3/1-equivalent (tritave-equivalent) moment of symmetry scale containing 2 large steps and 3 small steps, repeating every interval of 3/1 (1902.0 ¢). Generators that produce this scale range from 760.8 ¢ to 951 ¢, or from 951 ¢ to 1141.2 ¢.

Modes

Modes of 2L 3s⟨3/1⟩
UDP Cyclic
order
Step
pattern
4|0 1 LsLss
3|1 3 LssLs
2|2 5 sLsLs
1|3 2 sLssL
0|4 4 ssLsL

Scale degrees

Scale degrees of the modes of 2L 3s⟨3/1⟩
UDP Cyclic
order
Step
pattern
Scale degree (mosdegree)
0 1 2 3 4 5
4|0 1 LsLss Perf. Maj. Perf. Aug. Maj. Perf.
3|1 3 LssLs Perf. Maj. Perf. Perf. Maj. Perf.
2|2 5 sLsLs Perf. Min. Perf. Perf. Maj. Perf.
1|3 2 sLssL Perf. Min. Perf. Perf. Min. Perf.
0|4 4 ssLsL Perf. Min. Dim. Perf. Min. Perf.

Intervals

Intervals of 2L 3s⟨3/1⟩
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 380.4 ¢
Major 1-mosstep M1ms L 380.4 ¢ to 951.0 ¢
2-mosstep Diminished 2-mosstep d2ms 2s 0.0 ¢ to 760.8 ¢
Perfect 2-mosstep P2ms L + s 760.8 ¢ to 951.0 ¢
3-mosstep Perfect 3-mosstep P3ms L + 2s 951.0 ¢ to 1141.2 ¢
Augmented 3-mosstep A3ms 2L + s 1141.2 ¢ to 1902.0 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 951.0 ¢ to 1521.6 ¢
Major 4-mosstep M4ms 2L + 2s 1521.6 ¢ to 1902.0 ¢
5-mosstep Perfect 5-mosstep P5ms 2L + 3s 1902.0 ¢

Scale tree

Template:Scale tree


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