19L 11s: 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\19
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 442.105
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|67\182
| | 9
| | 1
| | 9.000
| | 441.758
| |
|-
| |
| |
| |
| |
| |
| |
| |
|60\163
|
| | 8
| | 1
| | 8.000
| | 441.718
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|113\307
| | 15
| | 2
| | 7.500
| | 441.694
| |
|-
| |
| |
| |
| |
| |
| |
| |53\144
|
|
| | 7
| | 1
| | 7.000
| | 441.667
| |
|-
| |
| |
| |
| |
| |
| |
| |
|99\269
|
| | 13
| | 2
| | 6.500
| | 441.636
| |
|-
| |
| |
| |
| |
| |
| | 46\125
| |
|
|
| | 6
| | 1
| | 6.000
| | 441.600
| |
|-
| |
| |
| |
| |
| |
| |
| |85\231
|
|
| | 11
| | 2
| | 5.500
| | 441.558
| |
|-
| |
| |
| |
| |
| | 39\106
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 441.509
| |
|-
| |
| |
| |
| |
| |
| |
| |110\299
|
|
| | 14
| | 3
| | 4.667
| | 441.472
| |
|-
| |
| |
| |
| |
| |
| | 71\193
| |
|
|
| | 9
| | 2
| | 4.500
| | 441.451
| |
|-
| |
| |
| |
| |
| |
| |
| |103\280
|
|
| | 13
| | 3
| | 4.333
| | 441.429
| |
|-
| |
| |
| |
| | 32\87
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 441.379
| |
|-
| |
| |
| |
| |
| |
| | 89\242
| |
|
|
| | 11
| | 3
| | 3.667
| | 441.322
| |
|-
| |
| |
| |
| |
| | 57\155
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 441.290
| |
|-
| |
| |
| |
| |
| |
| | 82\223
| |
|
|
| | 10
| | 3
| | 3.333
| | 441.256
| |
|-
| |
| |
| |
| |
| |
| |
| |107\291
|
|
| | 13
| | 4
| | 3.250
| | 441.237
| |
|-
| |
| |
| | 25\68
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 441.176
| |
|-
| |
| |
| |
| |
| |
| | 93\253
| |
|
|
| | 11
| | 4
| | 2.750
| | 441.107
| |
|-
| |
| |
| |
| |
| | 68\185
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 441.081
| |
|-
| |
| |
| |
| |
| |
| | 111\302
| |
|
|
| | 13
| | 5
| | 2.600
| | 441.060
| |
|-
| |
| |
| |
| | 43\117
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 441.026
| |
|-
| |
| |
| |
| |
| |
| | 104\283
| |
|
|
| | 12
| | 5
| | 2.400
| | 440.989
| |
|-
| |
| |
| |
| |
| | 61\166
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 440.964
| |
|-
| |
| |
| |
| |
| |
| | 79\215
| |
|
|
| | 9
| | 4
| | 2.250
| | 440.930
| |
|-
| |
| |
| |
| |
| |
| |
| |97\264
|
|
| | 11
| | 5
| | 2.200
| | 440.909
| |
|-
| |
| | 18\49
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 440.816
| |
|-
| |
| |
| |
| |
| |
| |
| |101\275
|
|
| | 11
| | 6
| | 1.833
| | 440.727
| |
|-
| |
| |
| |
| |
| |
| | 83\226
| |
|
|
| | 9
| | 5
| | 1.800
| | 440.708
| |
|-
| |
| |
| |
| |
| | 65\177
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 440.678
| |
|-
| |
| |
| |
| |
| |
| | 112\305
| |
|
|
| | 12
| | 7
| | 1.714
| | 440.656
| |
|-
| |
| |
| |
| | 47\128
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 440.625
| |
|-
| |
| |
| |
| |
| | 76\207
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 440.580
| |
|-
| |
| |
| |
| |
| |
| | 105\286
| |
|
|
| | 11
| | 7
| | 1.571
| | 440.559
| |
|-
| |
| |
| | 29\79
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 440.506
| |
|-
| |
| |
| |
| |
| |
| | 98\267
| |
|
|
| | 10
| | 7
| | 1.429
| | 440.449
| |
|-
| |
| |
| |
| |
| | 69\188
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 440.426
| |
|-
| |
| |
| |
| |
| |
| | 109\297
| |
|
|
| | 11
| | 8
| | 1.375
| | 440.404
| |
|-
| |
| |
| |
| | 40\109
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 440.367
| |
|-
| |
| |
| |
| |
| |
| | 91\248
| |
|
|
| | 9
| | 7
| | 1.286
| | 440.323
| |
|-
| |
| |
| |
| |
| | 51\139
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 440.288
| |
|-
| |
| |
| |
| |
| |
| |
| |113\308
|
|
| | 11
| | 9
| | 1.222
| | 440.260
| |
|-
| |
| |
| |
| |
| |
| | 62\169
| |
|
|
| | 6
| | 5
| | 1.200
| | 440.237
| |
|-
| |
| |
| |
| |
| |
| |
| |73\199
|
|
| | 7
| | 6
| | 1.167
| | 440.201
| |
|-
| |
| |
| |
| |
| |
| |
| |
|84\229
|
| | 8
| | 7
| | 1.143
| | 440.175
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|95\259
| | 9
| | 8
| | 1.125
| | 440.154
| |
|-
| | 11\30
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 440.000
| |
|}  
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:25, 1 March 2024

↖ 18L 10s ↑ 19L 10s 20L 10s ↗
← 18L 11s 19L 11s 20L 11s →
↙ 18L 12s ↓ 19L 12s 20L 12s ↘
Scale structure
Step pattern LLsLLsLLsLsLLsLLsLLsLsLLsLLsLs
sLsLLsLLsLsLLsLLsLLsLsLLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\30 to 7\19 (440.0 ¢ to 442.1 ¢)
Dark 12\19 to 19\30 (757.9 ¢ to 760.0 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 3:2 to 5:3 (quasisoft)
Related MOS scales
Parent 11L 8s
Sister 11L 19s
Daughters 30L 19s, 19L 30s
Neutralized 8L 22s
2-Flought 49L 11s, 19L 41s
Equal tunings
Equalized (L:s = 1:1) 11\30 (440.0 ¢)
Supersoft (L:s = 4:3) 40\109 (440.4 ¢)
Soft (L:s = 3:2) 29\79 (440.5 ¢)
Semisoft (L:s = 5:3) 47\128 (440.6 ¢)
Basic (L:s = 2:1) 18\49 (440.8 ¢)
Semihard (L:s = 5:2) 43\117 (441.0 ¢)
Hard (L:s = 3:1) 25\68 (441.2 ¢)
Superhard (L:s = 4:1) 32\87 (441.4 ¢)
Collapsed (L:s = 1:0) 7\19 (442.1 ¢)
View • Talk • Edit

19L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 11 small steps, repeating every octave. 19L 11s is a great-grandchild scale of 3L 5s, expanding it by 22 tones. Generators that produce this scale range from 440 ¢ to 442.1 ¢, or from 757.9 ¢ to 760 ¢.

Modes

Modes of 19L 11s
UDP Cyclic
order		 Step
pattern
29|0 1 LLsLLsLLsLsLLsLLsLLsLsLLsLLsLs
28|1 12 LLsLLsLLsLsLLsLLsLsLLsLLsLLsLs
27|2 23 LLsLLsLsLLsLLsLLsLsLLsLLsLLsLs
26|3 4 LLsLLsLsLLsLLsLLsLsLLsLLsLsLLs
25|4 15 LLsLLsLsLLsLLsLsLLsLLsLLsLsLLs
24|5 26 LLsLsLLsLLsLLsLsLLsLLsLLsLsLLs
23|6 7 LLsLsLLsLLsLLsLsLLsLLsLsLLsLLs
22|7 18 LLsLsLLsLLsLsLLsLLsLLsLsLLsLLs
21|8 29 LsLLsLLsLLsLsLLsLLsLLsLsLLsLLs
20|9 10 LsLLsLLsLLsLsLLsLLsLsLLsLLsLLs
19|10 21 LsLLsLLsLsLLsLLsLLsLsLLsLLsLLs
18|11 2 LsLLsLLsLsLLsLLsLLsLsLLsLLsLsL
17|12 13 LsLLsLLsLsLLsLLsLsLLsLLsLLsLsL
16|13 24 LsLLsLsLLsLLsLLsLsLLsLLsLLsLsL
15|14 5 LsLLsLsLLsLLsLLsLsLLsLLsLsLLsL
14|15 16 LsLLsLsLLsLLsLsLLsLLsLLsLsLLsL
13|16 27 LsLsLLsLLsLLsLsLLsLLsLLsLsLLsL
12|17 8 LsLsLLsLLsLLsLsLLsLLsLsLLsLLsL
11|18 19 LsLsLLsLLsLsLLsLLsLLsLsLLsLLsL
10|19 30 sLLsLLsLLsLsLLsLLsLLsLsLLsLLsL
9|20 11 sLLsLLsLLsLsLLsLLsLsLLsLLsLLsL
8|21 22 sLLsLLsLsLLsLLsLLsLsLLsLLsLLsL
7|22 3 sLLsLLsLsLLsLLsLLsLsLLsLLsLsLL
6|23 14 sLLsLLsLsLLsLLsLsLLsLLsLLsLsLL
5|24 25 sLLsLsLLsLLsLLsLsLLsLLsLLsLsLL
4|25 6 sLLsLsLLsLLsLLsLsLLsLLsLsLLsLL
3|26 17 sLLsLsLLsLLsLsLLsLLsLLsLsLLsLL
2|27 28 sLsLLsLLsLLsLsLLsLLsLLsLsLLsLL
1|28 9 sLsLLsLLsLLsLsLLsLLsLsLLsLLsLL
0|29 20 sLsLLsLLsLsLLsLLsLLsLsLLsLLsLL

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 19L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\30 440.000 760.000 1:1 1.000 Equalized 19L 11s
62\169 440.237 759.763 6:5 1.200
51\139 440.288 759.712 5:4 1.250
91\248 440.323 759.677 9:7 1.286
40\109 440.367 759.633 4:3 1.333 Supersoft 19L 11s
109\297 440.404 759.596 11:8 1.375
69\188 440.426 759.574 7:5 1.400
98\267 440.449 759.551 10:7 1.429
29\79 440.506 759.494 3:2 1.500 Soft 19L 11s
105\286 440.559 759.441 11:7 1.571
76\207 440.580 759.420 8:5 1.600
123\335 440.597 759.403 13:8 1.625
47\128 440.625 759.375 5:3 1.667 Semisoft 19L 11s
112\305 440.656 759.344 12:7 1.714
65\177 440.678 759.322 7:4 1.750
83\226 440.708 759.292 9:5 1.800
18\49 440.816 759.184 2:1 2.000 Basic 19L 11s
Scales with tunings softer than this are proper
79\215 440.930 759.070 9:4 2.250
61\166 440.964 759.036 7:3 2.333
104\283 440.989 759.011 12:5 2.400
43\117 441.026 758.974 5:2 2.500 Semihard 19L 11s
111\302 441.060 758.940 13:5 2.600
68\185 441.081 758.919 8:3 2.667
93\253 441.107 758.893 11:4 2.750
25\68 441.176 758.824 3:1 3.000 Hard 19L 11s
82\223 441.256 758.744 10:3 3.333
57\155 441.290 758.710 7:2 3.500
89\242 441.322 758.678 11:3 3.667
32\87 441.379 758.621 4:1 4.000 Superhard 19L 11s
71\193 441.451 758.549 9:2 4.500
39\106 441.509 758.491 5:1 5.000
46\125 441.600 758.400 6:1 6.000
7\19 442.105 757.895 1:0 → ∞ Collapsed 19L 11s
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