19L 8s

Revision as of 06:18, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)

19L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 8 small steps, repeating every octave. 19L 8s is a great-grandchild scale of 3L 5s, expanding it by 19 tones. Generators that produce this scale range from 755.6 ¢ to 757.9 ¢, or from 442.1 ¢ to 444.4 ¢.

↖ 18L 7s ↑ 19L 7s 20L 7s ↗
← 18L 8s 19L 8s 20L 8s →
↙ 18L 9s ↓ 19L 9s 20L 9s ↘
Scale structure
Step pattern LLLsLLsLLLsLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\27 to 12\19 (755.6 ¢ to 757.9 ¢)
Dark 7\19 to 10\27 (442.1 ¢ to 444.4 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 4:3 to 3:2 (parasoft)
Related MOS scales
Parent 8L 11s
Sister 8L 19s
Daughters 27L 19s, 19L 27s
Neutralized 11L 16s
2-Flought 46L 8s, 19L 35s
Equal tunings
Equalized (L:s = 1:1) 17\27 (755.6 ¢)
Supersoft (L:s = 4:3) 63\100 (756.0 ¢)
Soft (L:s = 3:2) 46\73 (756.2 ¢)
Semisoft (L:s = 5:3) 75\119 (756.3 ¢)
Basic (L:s = 2:1) 29\46 (756.5 ¢)
Semihard (L:s = 5:2) 70\111 (756.8 ¢)
Hard (L:s = 3:1) 41\65 (756.9 ¢)
Superhard (L:s = 4:1) 53\84 (757.1 ¢)
Collapsed (L:s = 1:0) 12\19 (757.9 ¢)
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Modes

Modes of 19L 8s
UDP Cyclic
order
Step
pattern
26|0 1 LLLsLLsLLLsLLsLLsLLLsLLsLLs
25|1 18 LLLsLLsLLsLLLsLLsLLLsLLsLLs
24|2 8 LLLsLLsLLsLLLsLLsLLsLLLsLLs
23|3 25 LLsLLLsLLsLLLsLLsLLsLLLsLLs
22|4 15 LLsLLLsLLsLLsLLLsLLsLLLsLLs
21|5 5 LLsLLLsLLsLLsLLLsLLsLLsLLLs
20|6 22 LLsLLsLLLsLLsLLLsLLsLLsLLLs
19|7 12 LLsLLsLLLsLLsLLsLLLsLLsLLLs
18|8 2 LLsLLsLLLsLLsLLsLLLsLLsLLsL
17|9 19 LLsLLsLLsLLLsLLsLLLsLLsLLsL
16|10 9 LLsLLsLLsLLLsLLsLLsLLLsLLsL
15|11 26 LsLLLsLLsLLLsLLsLLsLLLsLLsL
14|12 16 LsLLLsLLsLLsLLLsLLsLLLsLLsL
13|13 6 LsLLLsLLsLLsLLLsLLsLLsLLLsL
12|14 23 LsLLsLLLsLLsLLLsLLsLLsLLLsL
11|15 13 LsLLsLLLsLLsLLsLLLsLLsLLLsL
10|16 3 LsLLsLLLsLLsLLsLLLsLLsLLsLL
9|17 20 LsLLsLLsLLLsLLsLLLsLLsLLsLL
8|18 10 LsLLsLLsLLLsLLsLLsLLLsLLsLL
7|19 27 sLLLsLLsLLLsLLsLLsLLLsLLsLL
6|20 17 sLLLsLLsLLsLLLsLLsLLLsLLsLL
5|21 7 sLLLsLLsLLsLLLsLLsLLsLLLsLL
4|22 24 sLLsLLLsLLsLLLsLLsLLsLLLsLL
3|23 14 sLLsLLLsLLsLLsLLLsLLsLLLsLL
2|24 4 sLLsLLLsLLsLLsLLLsLLsLLsLLL
1|25 21 sLLsLLsLLLsLLsLLLsLLsLLsLLL
0|26 11 sLLsLLsLLLsLLsLLsLLLsLLsLLL

Tuning spectrum

generator L s L/s gen (cents) comment
7\19 1 0 442.105
66\179 9 1 9.000 442.458
59\160 8 1 8.000 442.500
52\141 7 1 7.000 442.553
45\122 6 1 6.000 442.623
83\225 11 2 5.500 442.667
38\103 5 1 5.000 442.718
69\187 9 2 4.500 442.781
31\84 4 1 4.000 442.857
86\233 11 3 3.667 442.918
55\149 7 2 3.500 442.953
79\214 10 3 3.333 442.991
24\65 3 1 3.000 443.077
89\241 11 4 2.750 443.154
65\176 8 3 2.667 443.182
41\111 5 2 2.500 443.243
58\157 7 3 2.333 443.312
75\203 9 4 2.250 443.350
92\249 11 5 2.200 443.373
17\46 2 1 2.000 443.478
78\211 9 5 1.800 443.602
61\165 7 4 1.750 443.636
44\119 5 3 1.667 443.697
71\192 8 5 1.600 443.750
27\73 3 2 1.500 443.836
91\246 10 7 1.429 443.902
64\173 7 5 1.400 443.931
37\100 4 3 1.333 444.000
84\227 9 7 1.286 444.053
47\127 5 4 1.250 444.094
57\154 6 5 1.200 444.156
67\181 7 6 1.167 444.199
77\208 8 7 1.143 444.231
87\235 9 8 1.125 444.255
10\27 1 1 1.000 444.444