User:Ganaram inukshuk/4L 3s: Difference between revisions

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Unless otherwise stated, [[Diamond-mos notation|diamond-MOS notation]] is used in this article, applying unaltered note names JKLMNOP to the mode 3|3 (step pattern LsLsLsL). Alterations by a [[chroma]] are denoted using the symbols & (pronounced "am" or "amp", which raises or "amplifies" a pitch by a chroma) and @ (pronounced "at", which rhymes with "flat").
Unless otherwise stated, [[Diamond-mos notation|diamond-MOS notation]] is used in this article, applying unaltered note names JKLMNOP to the mode 3|3 (step pattern LsLsLsL). Alterations by a [[chroma]] are denoted using the symbols & (pronounced "am" or "amp", which raises or "amplifies" a pitch by a chroma) and @ (pronounced "at", which rhymes with "flat").


The gamuts for 4L 3s in 11edo, 15edo, and 18edo are shown below.{{MOS gamut|Scale Signature=4L 3s}}{{MOS gamut|Scale Signature=4L 3s|Step Ratio=3/1}}{{MOS gamut|Scale Signature=4L 3s|Step Ratio=3/2}}
The gamuts for 4L 3s in 11edo, 15edo, and 18edo are shown below.{{MOS gamut|Scale Signature=4L 3s|Bright Gens Up=3}}{{MOS gamut|Scale Signature=4L 3s|Step Ratio=3/1|Bright Gens Up=3}}{{MOS gamut|Scale Signature=4L 3s|Step Ratio=3/2|Bright Gens Up=3}}


== Intervals ==
== Intervals ==

Revision as of 06:19, 7 June 2023

↖ 3L 2s ↑ 4L 2s 5L 2s ↗
← 3L 3s 4L 3s 5L 3s →
↙ 3L 4s ↓ 4L 4s 5L 4s ↘ 
┌╥╥┬╥┬╥┬┐
│║║│║│║││
│││││││││
└┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLs
sLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\7 to 3\4 (857.1 ¢ to 900.0 ¢)
Dark 1\4 to 2\7 (300.0 ¢ to 342.9 ¢)
TAMNAMS information
Name smitonic
Prefix smi-
Abbrev. smi
Related MOS scales
Parent 3L 1s
Sister 3L 4s
Daughters 7L 4s, 4L 7s
Neutralized 1L 6s
2-Flought 11L 3s, 4L 10s
Equal tunings
Equalized (L:s = 1:1) 5\7 (857.1 ¢)
Supersoft (L:s = 4:3) 18\25 (864.0 ¢)
Soft (L:s = 3:2) 13\18 (866.7 ¢)
Semisoft (L:s = 5:3) 21\29 (869.0 ¢)
Basic (L:s = 2:1) 8\11 (872.7 ¢)
Semihard (L:s = 5:2) 19\26 (876.9 ¢)
Hard (L:s = 3:1) 11\15 (880.0 ¢)
Superhard (L:s = 4:1) 14\19 (884.2 ¢)
Collapsed (L:s = 1:0) 3\4 (900.0 ¢)
This page is for testing MOS-related templates. For the main page, see 4L 3s.

4L 3s, named smitonic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 3 small steps, repeating every octave. Generators that produce this scale range from 857.1 ¢ to 900 ¢, or from 300 ¢ to 342.9 ¢.

Name

Notation

Unless otherwise stated, diamond-MOS notation is used in this article, applying unaltered note names JKLMNOP to the mode 3|3 (step pattern LsLsLsL). Alterations by a chroma are denoted using the symbols & (pronounced "am" or "amp", which raises or "amplifies" a pitch by a chroma) and @ (pronounced "at", which rhymes with "flat").

The gamuts for 4L 3s in 11edo, 15edo, and 18edo are shown below.J, J&/K@, K, L, L&/M@, M, N, N&/O@, O, P, P&/J@, J'J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J'J, J&, K@, K, K&/L@, L, L&, M@, M, M&/N@, N, N&, O@, O, O&/P@, P, P&, J@, J

Intervals

Unless otherwise stated, TAMNAMS is used in this article to name 4L 3s step ratio sizes and ranges, and intervals and scale degrees. Intervals and scale degrees are indexed starting at 0 (0-smistep, 1-smistep, etc). 1-indexed terms (smi-1st, smi-2nd, etc) are discouraged for non-diatonic MOS scales.

Modes

Modes of 4L 3s
UDP Cyclic
order		 Step
pattern
6|0 1 LLsLsLs
5|1 6 LsLLsLs
4|2 4 LsLsLLs
3|3 2 LsLsLsL
2|4 7 sLLsLsL
1|5 5 sLsLLsL
0|6 3 sLsLsLL

Scale tree

Template:Scale tree

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