10L 7s: Difference between revisions

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Mos intro
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| Pattern = LLsLsLLsLsLLsLsLs
| Pattern = LLsLsLLsLsLLsLsLs
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The '''10L 7s''' [[MOS scale]], with intervals of 2L-L-2L-L-2L-L-L between its small steps, is the neutral thirds version of [[Schismic]] temperament.
{{MOS intro}}
 
This scale is the neutral thirds version of [[Schismic]] temperament. The range of the bright generator also makes it an [[improper]] MOS of [[Beatles]] temperament (generator = c. 19\64 ~ 356.25{{cent}}).
It has a generator between 5\[[17edo|17]] (352.941{{cent}}) and 3\[[10edo|10]] (360{{cent}}), making it an improper MOS of [[Beatles]] temperament (generator = c. 19\64 ~ 356.25{{cent}}).


== Scale tree ==
== Scale tree ==

Revision as of 03:14, 22 February 2024

↖ 9L 6s ↑ 10L 6s 11L 6s ↗
← 9L 7s 10L 7s 11L 7s →
↙ 9L 8s ↓ 10L 8s 11L 8s ↘
┌╥╥┬╥┬╥╥┬╥┬╥╥┬╥┬╥┬┐
│║║│║│║║│║│║║│║│║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLsLsLLsLsLLsLsLs
sLsLsLLsLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\17 to 3\10 (352.9 ¢ to 360.0 ¢)
Dark 7\10 to 12\17 (840.0 ¢ to 847.1 ¢)
TAMNAMS information
Related to 7L 3s (dicoid)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 7L 3s
Sister 7L 10s
Daughters 17L 10s, 10L 17s
Neutralized 3L 14s
2-Flought 27L 7s, 10L 24s
Equal tunings
Equalized (L:s = 1:1) 5\17 (352.9 ¢)
Supersoft (L:s = 4:3) 18\61 (354.1 ¢)
Soft (L:s = 3:2) 13\44 (354.5 ¢)
Semisoft (L:s = 5:3) 21\71 (354.9 ¢)
Basic (L:s = 2:1) 8\27 (355.6 ¢)
Semihard (L:s = 5:2) 19\64 (356.2 ¢)
Hard (L:s = 3:1) 11\37 (356.8 ¢)
Superhard (L:s = 4:1) 14\47 (357.4 ¢)
Collapsed (L:s = 1:0) 3\10 (360.0 ¢)

10L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 7 small steps, repeating every octave. 10L 7s is a child scale of 7L 3s, expanding it by 7 tones. Generators that produce this scale range from 352.9 ¢ to 360 ¢, or from 840 ¢ to 847.1 ¢. This scale is the neutral thirds version of Schismic temperament. The range of the bright generator also makes it an improper MOS of Beatles temperament (generator = c. 19\64 ~ 356.25 ¢).

Scale tree

3/10 360
17/57 357.895
14/47 357.447
25/84 357.143
356.876
11/37 356.757
356.4895
30/101 356.436
356.383
19/64 356.25
27/91 356.044
8/27 355.556
29/98 355.102
355.066
21/71 354.93
354.823
34/115 354.783
354.7155
13/44 354.5455
31/105 354.286
18/61 354.098
23/78 353.846
5/17 352.941