5L 8s

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Revision as of 20:24, 19 February 2024 by Ganaram inukshuk (talk | contribs) (Rewrote intro, replaced scale tree)
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↖ 4L 7s ↑ 5L 7s 6L 7s ↗
← 4L 8s 5L 8s 6L 8s →
↙ 4L 9s ↓ 5L 9s 6L 9s ↘
┌╥┬╥┬┬╥┬╥┬┬╥┬┬┐
│║│║││║│║││║│││
│││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLsLssLss
ssLssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\13 to 2\5 (461.5 ¢ to 480.0 ¢)
Dark 3\5 to 8\13 (720.0 ¢ to 738.5 ¢)
TAMNAMS information
Related to 5L 3s (oneirotonic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 5L 3s
Sister 8L 5s
Daughters 13L 5s, 5L 13s
Neutralized 10L 3s
2-Flought 18L 8s, 5L 21s
Equal tunings
Equalized (L:s = 1:1) 5\13 (461.5 ¢)
Supersoft (L:s = 4:3) 17\44 (463.6 ¢)
Soft (L:s = 3:2) 12\31 (464.5 ¢)
Semisoft (L:s = 5:3) 19\49 (465.3 ¢)
Basic (L:s = 2:1) 7\18 (466.7 ¢)
Semihard (L:s = 5:2) 16\41 (468.3 ¢)
Hard (L:s = 3:1) 9\23 (469.6 ¢)
Superhard (L:s = 4:1) 11\28 (471.4 ¢)
Collapsed (L:s = 1:0) 2\5 (480.0 ¢)

5L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 8 small steps, repeating every octave. 5L 8s is a child scale of 5L 3s, expanding it by 5 tones. Generators that produce this scale range from 461.5 ¢ to 480 ¢, or from 720 ¢ to 738.5 ¢. 5L 8s represents the chromatic scales of Semisept, A-Team and Vulture temperaments.

Modes

Modes of 5L 8s
UDP Cyclic
order
Step
pattern
12|0 1 LsLssLsLssLss
11|1 6 LsLssLssLsLss
10|2 11 LssLsLssLsLss
9|3 3 LssLsLssLssLs
8|4 8 LssLssLsLssLs
7|5 13 sLsLssLsLssLs
6|6 5 sLsLssLssLsLs
5|7 10 sLssLsLssLsLs
4|8 2 sLssLsLssLssL
3|9 7 sLssLssLsLssL
2|10 12 ssLsLssLsLssL
1|11 4 ssLsLssLssLsL
0|12 9 ssLssLsLssLsL

Scale tree

Template:Scale tree