3L 1s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
m Removed redundant "basic 3L 1s" comment
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* Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
* Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)
* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)
{{Scale tree|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:[[Sixix]];2/1:Basic 3L 1s;9/4:[[Mohaha]]/[[mohajira]];12/5:[[Hemif]]/[[hemififths]];13/5;Golden suhajira (354.823 cents);11/4:[[Beatles]];9/2:[[Sephiroth]];6/1:[[Magic]]↓}}
{{Scale tree|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:[[Sixix]];9/4:[[Mohaha]]/[[mohajira]];12/5:[[Hemif]]/[[hemififths]];13/5;Golden suhajira (354.823 cents);11/4:[[Beatles]];9/2:[[Sephiroth]];6/1:[[Magic]]↓}}
[[Category:Tetrad]]
[[Category:Tetrad]]
[[Category:4-tone scales]]
[[Category:4-tone scales]]

Revision as of 17:28, 11 October 2023

← 2L 1s 3L 1s 4L 1s →
↙ 2L 2s ↓ 3L 2s 4L 2s ↘
┌╥╥╥┬┐
│║║║││
││││││
└┴┴┴┴┘
Scale structure
Step pattern LLLs
sLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\4 to 1\3 (300.0 ¢ to 400.0 ¢)
Dark 2\3 to 3\4 (800.0 ¢ to 900.0 ¢)
Related MOS scales
Parent 1L 2s
Sister 1L 3s
Daughters 4L 3s, 3L 4s
Neutralized 2L 2s
2-Flought 7L 1s, 3L 5s
Equal tunings
Equalized (L:s = 1:1) 1\4 (300.0 ¢)
Supersoft (L:s = 4:3) 4\15 (320.0 ¢)
Soft (L:s = 3:2) 3\11 (327.3 ¢)
Semisoft (L:s = 5:3) 5\18 (333.3 ¢)
Basic (L:s = 2:1) 2\7 (342.9 ¢)
Semihard (L:s = 5:2) 5\17 (352.9 ¢)
Hard (L:s = 3:1) 3\10 (360.0 ¢)
Superhard (L:s = 4:1) 4\13 (369.2 ¢)
Collapsed (L:s = 1:0) 1\3 (400.0 ¢)

3L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 300 ¢ to 400 ¢, or from 800 ¢ to 900 ¢. Scales of this form are always proper because there is only one small step.

Modes

  • 3|0 LLLs
  • 2|1 LLsL
  • 1|2 LsLL
  • 0|3 sLLL

Scale tree

Generator ranges:

  • Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
  • Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)

Template:Scale tree