13L 10s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
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Ganaram inukshuk (talk | contribs)
Reworded intro; added todo-confirm
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{{Infobox MOS
{{Todo|confirm|inline=1|text=Confirm temperaments that correspond with this mos}}{{Infobox MOS
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{{MOS intro}}
{{MOS intro}}
The '''13L 10s''' [[MOS scale]] has its large steps split 2-1-1-2-1-1-2-1-1-1 between the small steps. It is the major quartertone scale of [[3L 7s]] (sephiroid) and the quartertone scale of [[unidec]] temperament.
This scale is the quartertone scale of [[unidec]] temperament.


== Scale tree ==
== Scale tree ==
{{Scale tree}}
{{Scale tree}}

Revision as of 20:10, 1 March 2024

Todo: confirm

Confirm temperaments that correspond with this mos

↖ 12L 9s ↑ 13L 9s 14L 9s ↗
← 12L 10s 13L 10s 14L 10s →
↙ 12L 11s ↓ 13L 11s 14L 11s ↘
┌╥╥┬╥┬╥┬╥╥┬╥┬╥┬╥╥┬╥┬╥┬╥┬┐
│║║│║│║│║║│║│║│║║│║│║│║││
│││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLsLLsLsLsLLsLsLsLs
sLsLsLsLLsLsLsLLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 7\23 to 4\13 (365.2 ¢ to 369.2 ¢)
Dark 9\13 to 16\23 (830.8 ¢ to 834.8 ¢)
TAMNAMS information
Related to 3L 7s (sephiroid)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 10L 3s
Sister 10L 13s
Daughters 23L 13s, 13L 23s
Neutralized 3L 20s
2-Flought 36L 10s, 13L 33s
Equal tunings
Equalized (L:s = 1:1) 7\23 (365.2 ¢)
Supersoft (L:s = 4:3) 25\82 (365.9 ¢)
Soft (L:s = 3:2) 18\59 (366.1 ¢)
Semisoft (L:s = 5:3) 29\95 (366.3 ¢)
Basic (L:s = 2:1) 11\36 (366.7 ¢)
Semihard (L:s = 5:2) 26\85 (367.1 ¢)
Hard (L:s = 3:1) 15\49 (367.3 ¢)
Superhard (L:s = 4:1) 19\62 (367.7 ¢)
Collapsed (L:s = 1:0) 4\13 (369.2 ¢)

13L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 10 small steps, repeating every octave. 13L 10s is a grandchild scale of 3L 7s, expanding it by 13 tones. Generators that produce this scale range from 365.2 ¢ to 369.2 ¢, or from 830.8 ¢ to 834.8 ¢. This scale is the quartertone scale of unidec temperament.

Scale tree

Template:Scale tree