18L 5s

From Xenharmonic Wiki
Jump to navigation Jump to search
↖17L 4s↑18L 4s 19L 4s↗
←17L 5s18L 5s19L 5s→
↙17L 6s↓18L 6s 19L 6s↘
Brightest mode LLLLsLLLLsLLLsLLLLsLLLs
Period 2/1
Range for bright generator 14\23 (730.4¢) to 11\18 (733.3¢)
Range for dark generator 7\18 (466.7¢) to 9\23 (469.6¢)
Parent MOS 5L 13s
Sister MOS 5L 18s
Daughter MOSes 23L 18s, 18L 23s
Equal tunings
Supersoft (L:s = 4:3) 53\87 (731¢)
Soft (L:s = 3:2) 39\64 (731.3¢)
Semisoft (L:s = 5:3) 64\105 (731.4¢)
Basic (L:s = 2:1) 25\41 (731.7¢)
Semihard (L:s = 5:2) 61\100 (732¢)
Hard (L:s = 3:1) 36\59 (732.2¢)
Superhard (L:s = 4:1) 47\77 (732.5¢)
Brightest-mode tunings on xenpaper
Supersoft Soft Semisoft Basic Semihard Hard Superhard

18L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 18 large steps and 5 small steps, repeating every octave. 18L 5s is a great-grandchild scale of 5L 3s, expanding it by 15 tones. Generators that produce this scale range from 730.4¢ to 733.3¢, or from 466.7¢ to 469.6¢.

Modes

Modes of 18L 5s
UDP Rotational order Step pattern
22|0 1 LLLLsLLLLsLLLsLLLLsLLLs
21|1 15 LLLLsLLLsLLLLsLLLLsLLLs
20|2 6 LLLLsLLLsLLLLsLLLsLLLLs
19|3 20 LLLsLLLLsLLLLsLLLsLLLLs
18|4 11 LLLsLLLLsLLLsLLLLsLLLLs
17|5 2 LLLsLLLLsLLLsLLLLsLLLsL
16|6 16 LLLsLLLsLLLLsLLLLsLLLsL
15|7 7 LLLsLLLsLLLLsLLLsLLLLsL
14|8 21 LLsLLLLsLLLLsLLLsLLLLsL
13|9 12 LLsLLLLsLLLsLLLLsLLLLsL
12|10 3 LLsLLLLsLLLsLLLLsLLLsLL
11|11 17 LLsLLLsLLLLsLLLLsLLLsLL
10|12 8 LLsLLLsLLLLsLLLsLLLLsLL
9|13 22 LsLLLLsLLLLsLLLsLLLLsLL
8|14 13 LsLLLLsLLLsLLLLsLLLLsLL
7|15 4 LsLLLLsLLLsLLLLsLLLsLLL
6|16 18 LsLLLsLLLLsLLLLsLLLsLLL
5|17 9 LsLLLsLLLLsLLLsLLLLsLLL
4|18 23 sLLLLsLLLLsLLLsLLLLsLLL
3|19 14 sLLLLsLLLsLLLLsLLLLsLLL
2|20 5 sLLLLsLLLsLLLLsLLLsLLLL
1|21 19 sLLLsLLLLsLLLLsLLLsLLLL
0|22 10 sLLLsLLLLsLLLsLLLLsLLLL

Scale tree

Scale tree and tuning spectrum of 18L 5s
Generator (in steps of edo) Cents Step ratio Comments
Bright Dark L:s Hardness
14\23 730.435 469.565 1:1 1.000 Equalized 18L 5s
81\133 730.827 469.173 6:5 1.200
67\110 730.909 469.091 5:4 1.250
120\197 730.964 469.036 9:7 1.286
53\87 731.034 468.966 4:3 1.333 Supersoft 18L 5s
145\238 731.092 468.908 11:8 1.375
92\151 731.126 468.874 7:5 1.400
131\215 731.163 468.837 10:7 1.429
39\64 731.250 468.750 3:2 1.500 Soft 18L 5s
142\233 731.330 468.670 11:7 1.571
103\169 731.361 468.639 8:5 1.600
167\274 731.387 468.613 13:8 1.625
64\105 731.429 468.571 5:3 1.667 Semisoft 18L 5s
153\251 731.474 468.526 12:7 1.714
89\146 731.507 468.493 7:4 1.750
114\187 731.551 468.449 9:5 1.800
25\41 731.707 468.293 2:1 2.000 Basic 18L 5s
Scales with tunings softer than this are proper
111\182 731.868 468.132 9:4 2.250
86\141 731.915 468.085 7:3 2.333
147\241 731.950 468.050 12:5 2.400
61\100 732.000 468.000 5:2 2.500 Semihard 18L 5s
158\259 732.046 467.954 13:5 2.600
97\159 732.075 467.925 8:3 2.667
133\218 732.110 467.890 11:4 2.750
36\59 732.203 467.797 3:1 3.000 Hard 18L 5s
119\195 732.308 467.692 10:3 3.333
83\136 732.353 467.647 7:2 3.500
130\213 732.394 467.606 11:3 3.667
47\77 732.468 467.532 4:1 4.000 Superhard 18L 5s
105\172 732.558 467.442 9:2 4.500
58\95 732.632 467.368 5:1 5.000
69\113 732.743 467.257 6:1 6.000
11\18 733.333 466.667 1:0 → ∞ Collapsed 18L 5s

This page is a stub. You can help the Xenharmonic Wiki by expanding it.