6L 5s

Revision as of 01:06, 16 December 2024 by BudjarnLambeth (talk | contribs) (== Intervals == {{MOS intervals}})
↖ 5L 4s ↑ 6L 4s 7L 4s ↗
← 5L 5s 6L 5s 7L 5s →
↙ 5L 6s ↓ 6L 6s 7L 6s ↘
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│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLsLs
sLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\11 to 5\6 (981.8 ¢ to 1000.0 ¢)
Dark 1\6 to 2\11 (200.0 ¢ to 218.2 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 5L 1s
Sister 5L 6s
Daughters 11L 6s, 6L 11s
Neutralized 1L 10s
2-Flought 17L 5s, 6L 16s
Equal tunings
Equalized (L:s = 1:1) 9\11 (981.8 ¢)
Supersoft (L:s = 4:3) 32\39 (984.6 ¢)
Soft (L:s = 3:2) 23\28 (985.7 ¢)
Semisoft (L:s = 5:3) 37\45 (986.7 ¢)
Basic (L:s = 2:1) 14\17 (988.2 ¢)
Semihard (L:s = 5:2) 33\40 (990.0 ¢)
Hard (L:s = 3:1) 19\23 (991.3 ¢)
Superhard (L:s = 4:1) 24\29 (993.1 ¢)
Collapsed (L:s = 1:0) 5\6 (1000.0 ¢)

6L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 5 small steps, repeating every octave. 6L 5s is a child scale of 5L 1s, expanding it by 5 tones. Generators that produce this scale range from 981.8 ¢ to 1000 ¢, or from 200 ¢ to 218.2 ¢.

This MOS has a harmonic entropy minimum (Baldy) which is highly improper (L=8 s=1) in an optimal tuning, However, its saving grace is that it at least has index 2 in syntonic temperaments with wide fifths like superpyth (2.3.7) and pentacircle (2.3.11/7.13/11)[clarification needed].

Modes

Modes of 6L 5s
UDP Cyclic
order
Step
pattern
10|0 1 LLsLsLsLsLs
9|1 10 LsLLsLsLsLs
8|2 8 LsLsLLsLsLs
7|3 6 LsLsLsLLsLs
6|4 4 LsLsLsLsLLs
5|5 2 LsLsLsLsLsL
4|6 11 sLLsLsLsLsL
3|7 9 sLsLLsLsLsL
2|8 7 sLsLsLLsLsL
1|9 5 sLsLsLsLLsL
0|10 3 sLsLsLsLsLL

Intervals

Intervals of 6L 5s
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 109.1 ¢
Major 1-mosstep M1ms L 109.1 ¢ to 200.0 ¢
2-mosstep Perfect 2-mosstep P2ms L + s 200.0 ¢ to 218.2 ¢
Augmented 2-mosstep A2ms 2L 218.2 ¢ to 400.0 ¢
3-mosstep Minor 3-mosstep m3ms L + 2s 200.0 ¢ to 327.3 ¢
Major 3-mosstep M3ms 2L + s 327.3 ¢ to 400.0 ¢
4-mosstep Minor 4-mosstep m4ms 2L + 2s 400.0 ¢ to 436.4 ¢
Major 4-mosstep M4ms 3L + s 436.4 ¢ to 600.0 ¢
5-mosstep Minor 5-mosstep m5ms 2L + 3s 400.0 ¢ to 545.5 ¢
Major 5-mosstep M5ms 3L + 2s 545.5 ¢ to 600.0 ¢
6-mosstep Minor 6-mosstep m6ms 3L + 3s 600.0 ¢ to 654.5 ¢
Major 6-mosstep M6ms 4L + 2s 654.5 ¢ to 800.0 ¢
7-mosstep Minor 7-mosstep m7ms 3L + 4s 600.0 ¢ to 763.6 ¢
Major 7-mosstep M7ms 4L + 3s 763.6 ¢ to 800.0 ¢
8-mosstep Minor 8-mosstep m8ms 4L + 4s 800.0 ¢ to 872.7 ¢
Major 8-mosstep M8ms 5L + 3s 872.7 ¢ to 1000.0 ¢
9-mosstep Diminished 9-mosstep d9ms 4L + 5s 800.0 ¢ to 981.8 ¢
Perfect 9-mosstep P9ms 5L + 4s 981.8 ¢ to 1000.0 ¢
10-mosstep Minor 10-mosstep m10ms 5L + 5s 1000.0 ¢ to 1090.9 ¢
Major 10-mosstep M10ms 6L + 4s 1090.9 ¢ to 1200.0 ¢
11-mosstep Perfect 11-mosstep P11ms 6L + 5s 1200.0 ¢

Scale tree

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