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

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Making the test page more like a guide for mos pages
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Separated mos page guide content onto its own page, so this was cleaned up.
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{{MOS intro|Scale Signature=4L 3s}}
{{MOS intro|Scale Signature=4L 3s}}


== Name ==
== Theory ==
== Notation ==
== Notation ==
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").
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== Tunings ==
== Tunings ==
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.
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.
''Interval/degree tables for various tunings are then shown here, starting with the simple tunings of 2:1, 3:1, and 3:2, followed by the semi/super tunings. These can be in their own sections, or grouped into a broader''
=== Simple tunings ===
=== Simple tunings ===


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== Modes ==
== Modes ==
''A description of the mos's modes and mode names, if any, are written here. Also included are the interval qualities of each mode.''{{MOS modes|Scale Signature=4L 3s|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic}}
{{MOS modes|Scale Signature=4L 3s|Mode Names=Nerevarine; Vivecan; Lorkhanic; Sothic; Kagrenacan; Almalexian; Dagothic}}


== Tuning spectrum ==
== Tuning spectrum ==
{{Scale tree|4L 3s|Comments=6/5: [[Amity]]/[[hitchcock]]↑; 5/4: [[Sixix]]; 13/8: Golden 4L 3s; 12/5: [[Hyperkleismic]]; 5/2 [[Orgone]]; 13/5: Golden superkleismic; 8/3: [[Superkleismic]]; 11/3: [[Hanson]]/[[keemun]]; 6/1: [[Oolong]]/[[myna]]↓; 2/1: (Generators smaller than this are proper)}}
{{Scale tree|4L 3s|Comments=6/5: [[Amity]]/[[hitchcock]]↑; 5/4: [[Sixix]]; 13/8: Golden 4L 3s; 12/5: [[Hyperkleismic]]; 5/2 [[Orgone]]; 13/5: Golden superkleismic; 8/3: [[Superkleismic]]; 11/3: [[Hanson]]/[[keemun]]; 6/1: [[Oolong]]/[[myna]]↓; 2/1: (Generators smaller than this are proper)}}
== Scales ==
''Related scales include parent and child/daughter mosses (or subset and superset mosses) and modmosses. Temperament-specific scales can be added here.''
== Music ==
== See also ==
== External links ==
== References ==

Revision as of 18:49, 13 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 is a test page. 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 ¢.

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.

Edo Gamut
11edo J, J&/K@, K, L, L&/M@, M, N, N&/O@, O, P, P&/J@, J
15edo J, K@, J&, K, L, M@, L&, M, N, O@, N&, O, P, J@, P&, J
18edo J, J&, K@, K, K&/L@, L, L&, M@, M, M&/N@, N, N&, O@, O, O&/P@, P, P&, J@, J

Tunings

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.

Simple tunings

Supersoft

Semisoft

Semihard

Superhard

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

Tuning spectrum

Template:Scale tree

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