19L 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
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Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}{{Stub}}
! colspan="11" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 4\19
| |
| |
| |
| |
| |
| |
|
|
|
|
| | 1
| | 0
| |
| | 252.632
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|
|45\214
| | 11
| | 1
| | 11.000
| | 252.336
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|41\195
|
| | 10
| | 1
| | 10.000
| | 252.308
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|37\176
|
|
| | 9
| | 1
| | 9.000
| | 252.273
| |
|-
| |
| |
| |
| |
| |
| |
| |
|33\157
|
|
|
| | 8
| | 1
| | 8.000
| | 252.229
| |
|-
| |
| |
| |
| |
| |
| |
| |29\138
|
|
|
|
| | 7
| | 1
| | 7.000
| | 252.174
| |
|-
| |
| |
| |
| |
| |
| | 25\119
| |
|
|
|
|
| | 6
| | 1
| | 6.000
| | 252.101
| |
|-
| |
| |
| |
| |
| |
| |
| |46\219
|
|
|
|
| | 11
| | 2
| | 5.500
| | 252.055
| |
|-
| |
| |
| |
| |
| | 21\100
| |
| |
|
|
|
|
| | 5
| | 1
| | 5.000
| | 252.000
| |
|-
| |
| |
| |
| |
| |
| | 38\181
| |
|
|
|
|
| | 9
| | 2
| | 4.500
| | 251.934
| |
|-
| |
| |
| |
| | 17\81
| |
| |
| |
|
|
|
|
| | 4
| | 1
| | 4.000
| | 251.852
| |
|-
| |
| |
| |
| |
| | 30\143
| |
| |
|
|
|
|
| | 7
| | 2
| | 3.500
| | 251.748
| |
|-
| |
| |
| |
| |
| |
| | 43\205
| |
|
|
|
|
| | 10
| | 3
| | 3.333
| | 251.707
| |
|-
| |
| |
| | 13\62
| |
| |
| |
| |
|
|
|
|
| | 3
| | 1
| | 3.000
| | 251.613
| |
|-
| |
| |
| |
| |
| | 35\167
| |
| |
|
|
|
|
| | 8
| | 3
| | 2.667
| | 251.497
| |
|-
| |
| |
| |
| | 22\105
| |
| |
| |
|
|
|
|
| | 5
| | 2
| | 2.500
| | 251.429
| |
|-
| |
| |
| |
| |
| | 31\148
| |
| |
|
|
|
|
| | 7
| | 3
| | 2.333
| | 251.351
| |
|-
| |
| |
| |
| |
| |
| | 40\191
| |
|
|
|
|
| | 9
| | 4
| | 2.250
| | 251.309
| |
|-
| |
| | 9\43
| |
| |
| |
| |
| |
|
|
|
|
| | 2
| | 1
| | 2.000
| | 251.163
| |
|-
| |
| |
| |
| |
| |
| | 41\196
| |
|
|
|
|
| | 9
| | 5
| | 1.800
| | 251.020
| |
|-
| |
| |
| |
| |
| | 32\153
| |
| |
|
|
|
|
| | 7
| | 4
| | 1.750
| | 250.980
| |
|-
| |
| |
| |
| | 23\110
| |
| |
| |
|
|
|
|
| | 5
| | 3
| | 1.667
| | 250.909
| |
|-
| |
| |
| |
| |
| | 37\177
| |
| |
|
|
|
|
| | 8
| | 5
| | 1.600
| | 250.847
| |
|-
| |
| |
| | 14\67
| |
| |
| |
| |
|
|
|
|
| | 3
| | 2
| | 1.500
| | 250.746
| |
|-
| |
| |
| |
| |
| | 33\158
| |
| |
|
|
|
|
| | 7
| | 5
| | 1.400
| | 250.633
| |
|-
| |
| |
| |
| | 19\91
| |
| |
| |
|
|
|
|
| | 4
| | 3
| | 1.333
| | 250.549
| |
|-
| |
| |
| |
| |
| |
| | 43\206
| |
|
|
|
|
| | 9
| | 7
| | 1.286
| | 250.485
| |
|-
| |
| |
| |
| |
| | 24\115
| |
| |
|
|
|
|
| | 5
| | 4
| | 1.250
| | 250.435
| |
|-
| |
| |
| |
| |
| |
| | 29\139
| |
|
|
|
|
| | 6
| | 5
| | 1.200
| | 250.360
| |
|-
| |
| |
| |
| |
| |
| |
| |34\163
|
|
|
|
| | 7
| | 6
| | 1.167
| | 250.307
| |
|-
| |
| |
| |
| |
| |
| |
| |
|39\187
|
|
|
| | 8
| | 7
| | 1.143
| | 250.267
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|44\211
|
|
| | 9
| | 8
| | 1.125
| | 250.237
| |
|-
|
|
|
|
|
|
|
|
|
|49\235
|
|10
|9
|1.111
|250.213
|
|-
|
|
|
|
|
|
|
|
|
|
|54\259
|11
|10
|1.100
|250.193
|
|-
| | 5\24
| |
| |
| |
| |
| |
| |
|
|
|
|
| | 1
| | 1
| | 1.000
| | 250.000
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:23, 1 March 2024

↖ 18L 4s ↑ 19L 4s 20L 4s ↗
← 18L 5s 19L 5s 20L 5s →
↙ 18L 6s ↓ 19L 6s 20L 6s ↘
Scale structure
Step pattern LLLLsLLLLsLLLLsLLLLsLLLs
sLLLsLLLLsLLLLsLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\24 to 4\19 (250.0 ¢ to 252.6 ¢)
Dark 15\19 to 19\24 (947.4 ¢ to 950.0 ¢)
TAMNAMS information
Related to 5L 4s (semiquartal)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 5L 14s
Sister 5L 19s
Daughters 24L 19s, 19L 24s
Neutralized 14L 10s
2-Flought 43L 5s, 19L 29s
Equal tunings
Equalized (L:s = 1:1) 5\24 (250.0 ¢)
Supersoft (L:s = 4:3) 19\91 (250.5 ¢)
Soft (L:s = 3:2) 14\67 (250.7 ¢)
Semisoft (L:s = 5:3) 23\110 (250.9 ¢)
Basic (L:s = 2:1) 9\43 (251.2 ¢)
Semihard (L:s = 5:2) 22\105 (251.4 ¢)
Hard (L:s = 3:1) 13\62 (251.6 ¢)
Superhard (L:s = 4:1) 17\81 (251.9 ¢)
Collapsed (L:s = 1:0) 4\19 (252.6 ¢)
View • Talk • Edit

19L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 5 small steps, repeating every octave. 19L 5s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 250 ¢ to 252.6 ¢, or from 947.4 ¢ to 950 ¢.

Modes

Modes of 19L 5s
UDP Cyclic
order		 Step
pattern
23|0 1 LLLLsLLLLsLLLLsLLLLsLLLs
22|1 6 LLLLsLLLLsLLLLsLLLsLLLLs
21|2 11 LLLLsLLLLsLLLsLLLLsLLLLs
20|3 16 LLLLsLLLsLLLLsLLLLsLLLLs
19|4 21 LLLsLLLLsLLLLsLLLLsLLLLs
18|5 2 LLLsLLLLsLLLLsLLLLsLLLsL
17|6 7 LLLsLLLLsLLLLsLLLsLLLLsL
16|7 12 LLLsLLLLsLLLsLLLLsLLLLsL
15|8 17 LLLsLLLsLLLLsLLLLsLLLLsL
14|9 22 LLsLLLLsLLLLsLLLLsLLLLsL
13|10 3 LLsLLLLsLLLLsLLLLsLLLsLL
12|11 8 LLsLLLLsLLLLsLLLsLLLLsLL
11|12 13 LLsLLLLsLLLsLLLLsLLLLsLL
10|13 18 LLsLLLsLLLLsLLLLsLLLLsLL
9|14 23 LsLLLLsLLLLsLLLLsLLLLsLL
8|15 4 LsLLLLsLLLLsLLLLsLLLsLLL
7|16 9 LsLLLLsLLLLsLLLsLLLLsLLL
6|17 14 LsLLLLsLLLsLLLLsLLLLsLLL
5|18 19 LsLLLsLLLLsLLLLsLLLLsLLL
4|19 24 sLLLLsLLLLsLLLLsLLLLsLLL
3|20 5 sLLLLsLLLLsLLLLsLLLsLLLL
2|21 10 sLLLLsLLLLsLLLsLLLLsLLLL
1|22 15 sLLLLsLLLsLLLLsLLLLsLLLL
0|23 20 sLLLsLLLLsLLLLsLLLLsLLLL

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 5s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
5\24 250.000 950.000 1:1 1.000 Equalized 19L 5s
29\139 250.360 949.640 6:5 1.200
24\115 250.435 949.565 5:4 1.250
43\206 250.485 949.515 9:7 1.286
19\91 250.549 949.451 4:3 1.333 Supersoft 19L 5s
52\249 250.602 949.398 11:8 1.375
33\158 250.633 949.367 7:5 1.400
47\225 250.667 949.333 10:7 1.429
14\67 250.746 949.254 3:2 1.500 Soft 19L 5s
51\244 250.820 949.180 11:7 1.571
37\177 250.847 949.153 8:5 1.600
60\287 250.871 949.129 13:8 1.625
23\110 250.909 949.091 5:3 1.667 Semisoft 19L 5s
55\263 250.951 949.049 12:7 1.714
32\153 250.980 949.020 7:4 1.750
41\196 251.020 948.980 9:5 1.800
9\43 251.163 948.837 2:1 2.000 Basic 19L 5s
Scales with tunings softer than this are proper
40\191 251.309 948.691 9:4 2.250
31\148 251.351 948.649 7:3 2.333
53\253 251.383 948.617 12:5 2.400
22\105 251.429 948.571 5:2 2.500 Semihard 19L 5s
57\272 251.471 948.529 13:5 2.600
35\167 251.497 948.503 8:3 2.667
48\229 251.528 948.472 11:4 2.750
13\62 251.613 948.387 3:1 3.000 Hard 19L 5s
43\205 251.707 948.293 10:3 3.333
30\143 251.748 948.252 7:2 3.500
47\224 251.786 948.214 11:3 3.667
17\81 251.852 948.148 4:1 4.000 Superhard 19L 5s
38\181 251.934 948.066 9:2 4.500
21\100 252.000 948.000 5:1 5.000
25\119 252.101 947.899 6:1 6.000
4\19 252.632 947.368 1:0 → ∞ Collapsed 19L 5s
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