18L 5s: Difference between revisions

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BudjarnLambeth (talk | contribs)
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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
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Replaced no-entries scale tree; stub
Tag: Replaced
Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}{{Stub}}
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 7\18
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 466.667
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|65\167
| | 9
| | 1
| | 9.000
| | 467.066
| |
|-
| |
| |
| |
| |
| |
| |
| |
|58\149
|
| | 8
| | 1
| | 8.000
| | 467.114
| |
|-
| |
| |
| |
| |
| |
| |
| |51\131
|
|
| | 7
| | 1
| | 7.000
| | 467.176
| |
|-
| |
| |
| |
| |
| |
| | 44\113
| |
|
|
| | 6
| | 1
| | 6.000
| | 467.257
| |
|-
| |
| |
| |
| |
| | 37\95
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 467.368
| |
|-
| |
| |
| |
| |
| |
| | 67\172
| |
|
|
| | 9
| | 2
| | 4.500
| | 467.442
| |
|-
| |
| |
| |
| | 30\77
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 467.532
| |
|-
| |
| |
| |
| |
| | 53\136
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 467.647
| |
|-
| |
| |
| |
| |
| |
| | 76\195
| |
|
|
| | 10
| | 3
| | 3.333
| | 467.692
| |
|-
| |
| |
| | 23\59
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 467.797
| |
|-
| |
| |
| |
| |
| | 62\159
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 467.925
| |
|-
| |
| |
| |
| | 39\100
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 468.000
| |
|-
| |
| |
| |
| |
| | 55\141
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 468.085
| |
|-
| |
| |
| |
| |
| |
| | 71\182
| |
|
|
| | 9
| | 4
| | 2.250
| | 468.132
| |
|-
| |
| | 16\41
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 468.293
| |
|-
| |
| |
| |
| |
| |
| | 73\187
| |
|
|
| | 9
| | 5
| | 1.800
| | 468.449
| |
|-
| |
| |
| |
| |
| | 57\146
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 468.493
| |
|-
| |
| |
| |
| | 41\105
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 468.571
| |
|-
| |
| |
| |
| |
| | 66\169
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 468.639
| |
|-
| |
| |
| | 25\64
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 468.750
| |
|-
| |
| |
| |
| |
| | 59\151
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 468.874
| |
|-
| |
| |
| |
| | 34\87
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 468.966
| |
|-
| |
| |
| |
| |
| |
| | 77\197
| |
|
|
| | 9
| | 7
| | 1.286
| | 469.036
| |
|-
| |
| |
| |
| |
| | 43\110
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 469.091
| |
|-
| |
| |
| |
| |
| |
| | 52\133
| |
|
|
| | 6
| | 5
| | 1.200
| | 469.173
| |
|-
| |
| |
| |
| |
| |
| |
| |61\156
|
|
| | 7
| | 6
| | 1.167
| | 469.231
| |
|-
| |
| |
| |
| |
| |
| |
| |
|70\179
|
| | 8
| | 7
| | 1.143
| | 469.274
| |
|-
|
|
|
|
|
|
|
|
|79\202
|9
|8
|1.125
|469.307
|
|-
| | 9\23
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 469.565
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:26, 1 March 2024

↖ 17L 4s ↑ 18L 4s 19L 4s ↗
← 17L 5s 18L 5s 19L 5s →
↙ 17L 6s ↓ 18L 6s 19L 6s ↘
Scale structure
Step pattern LLLLsLLLLsLLLsLLLLsLLLs
sLLLsLLLLsLLLsLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 14\23 to 11\18 (730.4 ¢ to 733.3 ¢)
Dark 7\18 to 9\23 (466.7 ¢ to 469.6 ¢)
TAMNAMS information
Related to 5L 3s (oneirotonic)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 5L 13s
Sister 5L 18s
Daughters 23L 18s, 18L 23s
Neutralized 13L 10s
2-Flought 41L 5s, 18L 28s
Equal tunings
Equalized (L:s = 1:1) 14\23 (730.4 ¢)
Supersoft (L:s = 4:3) 53\87 (731.0 ¢)
Soft (L:s = 3:2) 39\64 (731.2 ¢)
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 (732.0 ¢)
Hard (L:s = 3:1) 36\59 (732.2 ¢)
Superhard (L:s = 4:1) 47\77 (732.5 ¢)
Collapsed (L:s = 1:0) 11\18 (733.3 ¢)
View • Talk • Edit

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 Cyclic
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

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 18L 5s
Generator(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
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