User:Ganaram inukshuk/3L 4s

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↖ 2L 3s ↑ 3L 3s 4L 3s ↗
← 2L 4s 3L 4s 4L 4s →
↙ 2L 5s ↓ 3L 5s 4L 5s ↘ 
┌╥┬╥┬╥┬┬┐
│║│║│║│││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLss
ssLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 2\7 to 1\3 (342.9 ¢ to 400.0 ¢)
Dark 2\3 to 5\7 (800.0 ¢ to 857.1 ¢)
TAMNAMS information
Name mosh
Prefix mosh-
Abbrev. mosh
Related MOS scales
Parent 3L 1s
Sister 4L 3s
Daughters 7L 3s, 3L 7s
Neutralized 6L 1s
2-Flought 10L 4s, 3L 11s
Equal tunings
Equalized (L:s = 1:1) 2\7 (342.9 ¢)
Supersoft (L:s = 4:3) 7\24 (350.0 ¢)
Soft (L:s = 3:2) 5\17 (352.9 ¢)
Semisoft (L:s = 5:3) 8\27 (355.6 ¢)
Basic (L:s = 2:1) 3\10 (360.0 ¢)
Semihard (L:s = 5:2) 7\23 (365.2 ¢)
Hard (L:s = 3:1) 4\13 (369.2 ¢)
Superhard (L:s = 4:1) 5\16 (375.0 ¢)
Collapsed (L:s = 1:0) 1\3 (400.0 ¢)

3L 4s, named mosh in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 4 small steps, repeating every octave. Generators that produce this scale range from 342.9 ¢ to 400 ¢, or from 800 ¢ to 857.1 ¢.

Naming

Scale name

TAMNAMS suggests the temperament-agnostic name mosh for this scale, adopted from an older MOS naming scheme by Graham Breed. The name is a contraction of "mohajira-ish".

Provisional mode names

Some names discussed here come from a non-authoritative source and are likely to be replaced.

One set of mode nicknames was coined by Andrew Heathwaite. The other set was coined by CellularAutomaton and follows the diatonic modes' naming convention by using ancient Greek toponyms that sound similar to the Heathwaite names.


Modes of 3L 4s
UDP Cyclic
order		 Step
pattern
6|0 1 LsLsLss
5|1 3 LsLssLs
4|2 5 LssLsLs
3|3 7 sLsLsLs
2|4 2 sLsLssL
1|5 4 sLssLsL
0|6 6 ssLsLsL

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for diatonic interval categories.

Intervals

Intervals of 3L 4s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-moshstep Perfect 0-moshstep P0moshs 0 0.0 ¢
1-moshstep Minor 1-moshstep m1moshs s 0.0 ¢ to 171.4 ¢
Major 1-moshstep M1moshs L 171.4 ¢ to 400.0 ¢
2-moshstep Diminished 2-moshstep d2moshs 2s 0.0 ¢ to 342.9 ¢
Perfect 2-moshstep P2moshs L + s 342.9 ¢ to 400.0 ¢
3-moshstep Minor 3-moshstep m3moshs L + 2s 400.0 ¢ to 514.3 ¢
Major 3-moshstep M3moshs 2L + s 514.3 ¢ to 800.0 ¢
4-moshstep Minor 4-moshstep m4moshs L + 3s 400.0 ¢ to 685.7 ¢
Major 4-moshstep M4moshs 2L + 2s 685.7 ¢ to 800.0 ¢
5-moshstep Perfect 5-moshstep P5moshs 2L + 3s 800.0 ¢ to 857.1 ¢
Augmented 5-moshstep A5moshs 3L + 2s 857.1 ¢ to 1200.0 ¢
6-moshstep Minor 6-moshstep m6moshs 2L + 4s 800.0 ¢ to 1028.6 ¢
Major 6-moshstep M6moshs 3L + 3s 1028.6 ¢ to 1200.0 ¢
7-moshstep Perfect 7-moshstep P7moshs 3L + 4s 1200.0 ¢

Modes

Scale degrees of the modes of 3L 4s
UDP Cyclic
order		 Step
pattern		 Scale degree (moshdegree)
0 1 2 3 4 5 6 7
6|0 1 LsLsLss Perf. Maj. Perf. Maj. Maj. Aug. Maj. Perf.
5|1 3 LsLssLs Perf. Maj. Perf. Maj. Maj. Perf. Maj. Perf.
4|2 5 LssLsLs Perf. Maj. Perf. Min. Maj. Perf. Maj. Perf.
3|3 7 sLsLsLs Perf. Min. Perf. Min. Maj. Perf. Maj. Perf.
2|4 2 sLsLssL Perf. Min. Perf. Min. Maj. Perf. Min. Perf.
1|5 4 sLssLsL Perf. Min. Perf. Min. Min. Perf. Min. Perf.
0|6 6 ssLsLsL Perf. Min. Dim. Min. Min. Perf. Min. Perf.

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