10L 13s: Difference between revisions

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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
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{{Infobox MOS}}
{{MOS intro}}
== Modes ==
{{MOS modes}}
== Tuning spectrum ==
{| class="wikitable"
{| class="wikitable"
! colspan="9" | generator
! colspan="9" | generator

Revision as of 05:55, 30 January 2024

↖ 9L 12s ↑ 10L 12s 11L 12s ↗
← 9L 13s 10L 13s 11L 13s →
↙ 9L 14s ↓ 10L 14s 11L 14s ↘
Scale structure
Step pattern LsLsLsLssLsLsLssLsLsLss
ssLsLsLssLsLsLssLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 16\23 to 7\10 (834.8 ¢ to 840.0 ¢)
Dark 3\10 to 7\23 (360.0 ¢ to 365.2 ¢)
TAMNAMS information
Related to 3L 7s (sephiroid)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 10L 3s
Sister 13L 10s
Daughters 23L 10s, 10L 23s
Neutralized 20L 3s
2-Flought 33L 13s, 10L 36s
Equal tunings
Equalized (L:s = 1:1) 16\23 (834.8 ¢)
Supersoft (L:s = 4:3) 55\79 (835.4 ¢)
Soft (L:s = 3:2) 39\56 (835.7 ¢)
Semisoft (L:s = 5:3) 62\89 (836.0 ¢)
Basic (L:s = 2:1) 23\33 (836.4 ¢)
Semihard (L:s = 5:2) 53\76 (836.8 ¢)
Hard (L:s = 3:1) 30\43 (837.2 ¢)
Superhard (L:s = 4:1) 37\53 (837.7 ¢)
Collapsed (L:s = 1:0) 7\10 (840.0 ¢)
ViewTalkEdit

10L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 13 small steps, repeating every octave. 10L 13s is a grandchild scale of 3L 7s, expanding it by 13 tones. Generators that produce this scale range from 834.8 ¢ to 840 ¢, or from 360 ¢ to 365.2 ¢.

Modes

Modes of 10L 13s
UDP Cyclic
order
Step
pattern
22|0 1 LsLsLsLssLsLsLssLsLsLss
21|1 17 LsLsLssLsLsLsLssLsLsLss
20|2 10 LsLsLssLsLsLssLsLsLsLss
19|3 3 LsLsLssLsLsLssLsLsLssLs
18|4 19 LsLssLsLsLsLssLsLsLssLs
17|5 12 LsLssLsLsLssLsLsLsLssLs
16|6 5 LsLssLsLsLssLsLsLssLsLs
15|7 21 LssLsLsLsLssLsLsLssLsLs
14|8 14 LssLsLsLssLsLsLsLssLsLs
13|9 7 LssLsLsLssLsLsLssLsLsLs
12|10 23 sLsLsLsLssLsLsLssLsLsLs
11|11 16 sLsLsLssLsLsLsLssLsLsLs
10|12 9 sLsLsLssLsLsLssLsLsLsLs
9|13 2 sLsLsLssLsLsLssLsLsLssL
8|14 18 sLsLssLsLsLsLssLsLsLssL
7|15 11 sLsLssLsLsLssLsLsLsLssL
6|16 4 sLsLssLsLsLssLsLsLssLsL
5|17 20 sLssLsLsLsLssLsLsLssLsL
4|18 13 sLssLsLsLssLsLsLsLssLsL
3|19 6 sLssLsLsLssLsLsLssLsLsL
2|20 22 ssLsLsLsLssLsLsLssLsLsL
1|21 15 ssLsLsLssLsLsLsLssLsLsL
0|22 8 ssLsLsLssLsLsLssLsLsLsL

Tuning spectrum

generator L s L/s gen (cents) comment
3\10 1 0 360.000
31\103 9 1 9.000 361.165
28\93 8 1 8.000 361.290
53\176 15 2 7.500 361.364
25\83 7 1 7.000 361.446
47\156 13 2 6.500 361.538
22\73 6 1 6.000 361.644
41\136 11 2 5.500 361.765
19\63 5 1 5.000 361.905
54\179 14 3 4.667 362.011
35\116 9 2 4.500 362.069
51\169 13 3 4.333 362.130
16\53 4 1 4.000 362.264
45\149 11 3 3.667 362.416
29\96 7 2 3.500 362.500
42\139 10 3 3.333 362.590
13\43 3 1 3.000 362.791
49\162 11 4 2.750 362.963
36\119 8 3 2.667 363.025
23\76 5 2 2.500 363.158
33\109 7 3 2.333 363.303
43\142 9 4 2.250 363.380
53\175 11 5 2.200 363.429
10\33 2 1 2.000 363.636
47\155 9 5 1.800 363.871
37\122 7 4 1.750 363.934
27\89 5 3 1.667 364.045
44\145 8 5 1.600 364.138
17\56 3 2 1.500 364.286
41\135 7 5 1.400 364.444
24\79 4 3 1.333 364.557
31\102 5 4 1.250 364.706
38\125 6 5 1.200 364.800
45\148 7 6 1.167 364.865
52\171 8 7 1.143 364.912
59\194 9 8 1.125 368.041
7\23 1 1 1.000 365.217