22L 5s

Revision as of 06:19, 30 January 2024 by BudjarnLambeth (talk | contribs) ({{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==)

22L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 22 large steps and 5 small steps, repeating every octave. 22L 5s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 488.9 ¢ to 490.9 ¢, or from 709.1 ¢ to 711.1 ¢.

↖ 21L 4s ↑ 22L 4s 23L 4s ↗
← 21L 5s 22L 5s 23L 5s →
↙ 21L 6s ↓ 22L 6s 23L 6s ↘
Scale structure
Step pattern LLLLLsLLLLsLLLLLsLLLLsLLLLs
sLLLLsLLLLsLLLLLsLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\27 to 9\22 (488.9 ¢ to 490.9 ¢)
Dark 13\22 to 16\27 (709.1 ¢ to 711.1 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 4:1 to 5:1
Related MOS scales
Parent 5L 17s
Sister 5L 22s
Daughters 27L 22s, 22L 27s
Neutralized 17L 10s
2-Flought 49L 5s, 22L 32s
Equal tunings
Equalized (L:s = 1:1) 11\27 (488.9 ¢)
Supersoft (L:s = 4:3) 42\103 (489.3 ¢)
Soft (L:s = 3:2) 31\76 (489.5 ¢)
Semisoft (L:s = 5:3) 51\125 (489.6 ¢)
Basic (L:s = 2:1) 20\49 (489.8 ¢)
Semihard (L:s = 5:2) 49\120 (490.0 ¢)
Hard (L:s = 3:1) 29\71 (490.1 ¢)
Superhard (L:s = 4:1) 38\93 (490.3 ¢)
Collapsed (L:s = 1:0) 9\22 (490.9 ¢)
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Modes

Modes of 22L 5s
UDP Cyclic
order
Step
pattern
26|0 1 LLLLLsLLLLsLLLLLsLLLLsLLLLs
25|1 12 LLLLLsLLLLsLLLLsLLLLLsLLLLs
24|2 23 LLLLsLLLLLsLLLLsLLLLLsLLLLs
23|3 7 LLLLsLLLLLsLLLLsLLLLsLLLLLs
22|4 18 LLLLsLLLLsLLLLLsLLLLsLLLLLs
21|5 2 LLLLsLLLLsLLLLLsLLLLsLLLLsL
20|6 13 LLLLsLLLLsLLLLsLLLLLsLLLLsL
19|7 24 LLLsLLLLLsLLLLsLLLLLsLLLLsL
18|8 8 LLLsLLLLLsLLLLsLLLLsLLLLLsL
17|9 19 LLLsLLLLsLLLLLsLLLLsLLLLLsL
16|10 3 LLLsLLLLsLLLLLsLLLLsLLLLsLL
15|11 14 LLLsLLLLsLLLLsLLLLLsLLLLsLL
14|12 25 LLsLLLLLsLLLLsLLLLLsLLLLsLL
13|13 9 LLsLLLLLsLLLLsLLLLsLLLLLsLL
12|14 20 LLsLLLLsLLLLLsLLLLsLLLLLsLL
11|15 4 LLsLLLLsLLLLLsLLLLsLLLLsLLL
10|16 15 LLsLLLLsLLLLsLLLLLsLLLLsLLL
9|17 26 LsLLLLLsLLLLsLLLLLsLLLLsLLL
8|18 10 LsLLLLLsLLLLsLLLLsLLLLLsLLL
7|19 21 LsLLLLsLLLLLsLLLLsLLLLLsLLL
6|20 5 LsLLLLsLLLLLsLLLLsLLLLsLLLL
5|21 16 LsLLLLsLLLLsLLLLLsLLLLsLLLL
4|22 27 sLLLLLsLLLLsLLLLLsLLLLsLLLL
3|23 11 sLLLLLsLLLLsLLLLsLLLLLsLLLL
2|24 22 sLLLLsLLLLLsLLLLsLLLLLsLLLL
1|25 6 sLLLLsLLLLLsLLLLsLLLLsLLLLL
0|26 17 sLLLLsLLLLsLLLLLsLLLLsLLLLL

Tuning spectrum

generator L s L/s gen (cents) comment
9\22 1 0 490.909
83\203 9 1 9.000 490.640
74\181 8 1 8.000 490.608
65\159 7 1 7.000 490.566
56\137 6 1 6.000 490.511
103\252 11 2 5.500 490.476
47\115 5 1 5.000 490.435
85\208 9 2 4.500 490.385
38\93 4 1 4.000 490.323
105\257 11 3 3.667 490.272
67\164 7 2 3.500 490.244
96\235 10 3 3.333 490.213
29\71 3 1 3.000 490.141
107\262 11 4 2.750 490.076
78\191 8 3 2.667 490.052
49\120 5 2 2.500 490.000
69\169 7 3 2.333 489.941
89\218 9 4 2.250 489.908
109\267 11 5 2.200 489.888
20\49 2 1 2.000 489.796
91\223 9 5 1.800 489.686
71\174 7 4 1.750 489.655
51\125 5 3 1.667 489.600
82\201 8 5 1.600 489.552
31\76 3 2 1.500 489.474
104\255 10 7 1.429 489.412
73\179 7 5 1.400 489.385
42\103 4 3 1.333 489.320
95\233 9 7 1.286 489.270
53\130 5 4 1.250 489.231
64\157 6 5 1.200 489.172
75\184 7 6 1.167 489.130
86\211 8 7 1.143 489.100
97\238 9 8 1.125 489.076
11\27 1 1 1.000 488.889