5L 19s: 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="8" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\5
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 240.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|12\59
| | 8
| | 1
| | 8.000
| | 244.068
| |
|-
| |
| |
| |
| |
| |
| |
| |11\54
|
| | 7
| | 1
| | 7.000
| | 244.444
| |
|-
| |
| |
| |
| |
| |
| |
| |
|21\103
| | 13
| | 2
| | 6.500
| | 244.660
| |
|-
| |
| |
| |
| |
| |
| | 10\49
| |
|
| | 6
| | 1
| | 6.000
| | 244.898
| |
|-
| |
| |
| |
| |
| |
| |
| |
|29\142
| | 17
| | 3
| | 5.667
| | 245.070
| |
|-
| |
| |
| |
| |
| |
| |
| |19\93
|
| | 11
| | 2
| | 5.500
| | 245.161
| |
|-
| |
| |
| |
| |
| |
| |
| |
|28\137
| | 16
| | 3
| | 5.333
| | 245.255
| |
|-
| |
| |
| |
| |
| | 9\44
| |
| |
|
| | 5
| | 1
| | 5.000
| | 245.455
| |
|-
| |
| |
| |
| |
| |
| |
| |26\127
|
| | 14
| | 3
| | 4.667
| | 245.669
| |
|-
| |
| |
| |
| |
| |
| | 17\83
| |
|
| | 9
| | 2
| | 4.500
| | 245.783
| |
|-
| |
| |
| |
| |
| |
| |
| |25\122
|
| | 13
| | 3
| | 4.333
| | 245.902
| |
|-
| |
| |
| |
| | 8\39
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 246.154
| |
|-
| |
| |
| |
| |
| |
| |
| |31\151
|
| | 15
| | 4
| | 3.750
| | 246.358
| |
|-
| |
| |
| |
| |
| |
| | 23\112
| |
|
| | 11
| | 3
| | 3.667
| | 246.429
| |
|-
| |
| |
| |
| |
| | 15\73
| |
| |
|
| | 7
| | 2
| | 3.500
| | 246.575
| |
|-
| |
| |
| |
| |
| |
| | 22\107
| |
|
| | 10
| | 3
| | 3.333
| | 246.729
| |
|-
| |
| |
| |
| |
| |
| |
| |29\141
|
| | 13
| | 4
| | 3.250
| | 246.809
| |
|-
| |
| |
| | 7\34
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 247.059
| |
|-
| |
| |
| |
| |
| |
| | 27\131
| |
|
| | 11
| | 4
| | 2.750
| | 247.328
| |
|-
| |
| |
| |
| |
| | 20\97
| |
| |
|
| | 8
| | 3
| | 2.667
| | 247.423
| |
|-
| |
| |
| |
| |
| |
| | 33\160
| |
|
| | 13
| | 5
| | 2.600
| | 247.500
| |
|-
| |
| |
| |
| | 13\63
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 247.619
| |
|-
| |
| |
| |
| |
| |
| | 32\155
| |
|
| | 12
| | 5
| | 2.400
| | 247.742
| |
|-
| |
| |
| |
| |
| | 19\92
| |
| |
|
| | 7
| | 3
| | 2.333
| | 247.826
| |
|-
| |
| |
| |
| |
| |
| | 25\121
| |
|
| | 9
| | 4
| | 2.250
| | 247.934
| |
|-
| |
| |
| |
| |
| |
| |
| |31\150
|
| | 11
| | 5
| | 2.200
| | 248.000
| |
|-
| |
| | 6\29
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 248.276
| |
|-
| |
| |
| |
| |
| |
| | 29\140
| |
|
| | 9
| | 5
| | 1.800
| | 248.571
| |
|-
| |
| |
| |
| |
| | 23\111
| |
| |
|
| | 7
| | 4
| | 1.750
| | 248.649
| |
|-
| |
| |
| |
| | 17\82
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 248.780
| |
|-
| |
| |
| |
| |
| | 28\135
| |
| |
|
| | 8
| | 5
| | 1.600
| | 248.889
| |
|-
| |
| |
| | 11\53
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 249.057
| |
|-
| |
| |
| |
| |
| | 27\130
| |
| |
|
| | 7
| | 5
| | 1.400
| | 249.231
| |
|-
| |
| |
| |
| | 16\77
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 249.351
| |
|-
| |
| |
| |
| |
| | 21\101
| |
| |
|
| | 5
| | 4
| | 1.250
| | 249.505
| |
|-
| |
| |
| |
| |
| |
| | 26\125
| |
|
| | 6
| | 5
| | 1.200
| | 249.600
| |
|-
| |
| |
| |
| |
| |
| |
| |31\149
|
| | 7
| | 6
| | 1.167
| | 249.664
| |
|-
|
|
|
|
|
|
|
|36\173
|8
|7
|1.143
|249.711
|
|-
| | 5\24
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 250.000
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 06:38, 3 March 2024

↖ 4L 18s ↑ 5L 18s 6L 18s ↗
← 4L 19s 5L 19s 6L 19s →
↙ 4L 20s ↓ 5L 20s 6L 20s ↘
Scale structure
Step pattern LsssLssssLssssLssssLssss
ssssLssssLssssLssssLsssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 19\24 to 4\5 (950.0 ¢ to 960.0 ¢)
Dark 1\5 to 5\24 (240.0 ¢ to 250.0 ¢)
TAMNAMS information
Related to 5L 4s (semiquartal)
With tunings 4:1 to 1:0 (ultrahard)
Related MOS scales
Parent 5L 14s
Sister 19L 5s
Daughters 24L 5s, 5L 24s
Neutralized 10L 14s
2-Flought 29L 19s, 5L 43s
Equal tunings
Equalized (L:s = 1:1) 19\24 (950.0 ¢)
Supersoft (L:s = 4:3) 61\77 (950.6 ¢)
Soft (L:s = 3:2) 42\53 (950.9 ¢)
Semisoft (L:s = 5:3) 65\82 (951.2 ¢)
Basic (L:s = 2:1) 23\29 (951.7 ¢)
Semihard (L:s = 5:2) 50\63 (952.4 ¢)
Hard (L:s = 3:1) 27\34 (952.9 ¢)
Superhard (L:s = 4:1) 31\39 (953.8 ¢)
Collapsed (L:s = 1:0) 4\5 (960.0 ¢)
View • Talk • Edit

5L 19s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 19 small steps, repeating every octave. 5L 19s is a great-grandchild scale of 5L 4s, expanding it by 15 tones. Generators that produce this scale range from 950 ¢ to 960 ¢, or from 240 ¢ to 250 ¢.

Modes

Modes of 5L 19s
UDP Cyclic
order		 Step
pattern
23|0 1 LsssLssssLssssLssssLssss
22|1 20 LssssLsssLssssLssssLssss
21|2 15 LssssLssssLsssLssssLssss
20|3 10 LssssLssssLssssLsssLssss
19|4 5 LssssLssssLssssLssssLsss
18|5 24 sLsssLssssLssssLssssLsss
17|6 19 sLssssLsssLssssLssssLsss
16|7 14 sLssssLssssLsssLssssLsss
15|8 9 sLssssLssssLssssLsssLsss
14|9 4 sLssssLssssLssssLssssLss
13|10 23 ssLsssLssssLssssLssssLss
12|11 18 ssLssssLsssLssssLssssLss
11|12 13 ssLssssLssssLsssLssssLss
10|13 8 ssLssssLssssLssssLsssLss
9|14 3 ssLssssLssssLssssLssssLs
8|15 22 sssLsssLssssLssssLssssLs
7|16 17 sssLssssLsssLssssLssssLs
6|17 12 sssLssssLssssLsssLssssLs
5|18 7 sssLssssLssssLssssLsssLs
4|19 2 sssLssssLssssLssssLssssL
3|20 21 ssssLsssLssssLssssLssssL
2|21 16 ssssLssssLsssLssssLssssL
1|22 11 ssssLssssLssssLsssLssssL
0|23 6 ssssLssssLssssLssssLsssL

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 5L 19s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
19\24 950.000 250.000 1:1 1.000 Equalized 5L 19s
99\125 950.400 249.600 6:5 1.200
80\101 950.495 249.505 5:4 1.250
141\178 950.562 249.438 9:7 1.286
61\77 950.649 249.351 4:3 1.333 Supersoft 5L 19s
164\207 950.725 249.275 11:8 1.375
103\130 950.769 249.231 7:5 1.400
145\183 950.820 249.180 10:7 1.429
42\53 950.943 249.057 3:2 1.500 Soft 5L 19s
149\188 951.064 248.936 11:7 1.571
107\135 951.111 248.889 8:5 1.600
172\217 951.152 248.848 13:8 1.625
65\82 951.220 248.780 5:3 1.667 Semisoft 5L 19s
153\193 951.295 248.705 12:7 1.714
88\111 951.351 248.649 7:4 1.750
111\140 951.429 248.571 9:5 1.800
23\29 951.724 248.276 2:1 2.000 Basic 5L 19s
Scales with tunings softer than this are proper
96\121 952.066 247.934 9:4 2.250
73\92 952.174 247.826 7:3 2.333
123\155 952.258 247.742 12:5 2.400
50\63 952.381 247.619 5:2 2.500 Semihard 5L 19s
127\160 952.500 247.500 13:5 2.600
77\97 952.577 247.423 8:3 2.667
104\131 952.672 247.328 11:4 2.750
27\34 952.941 247.059 3:1 3.000 Hard 5L 19s
85\107 953.271 246.729 10:3 3.333
58\73 953.425 246.575 7:2 3.500
89\112 953.571 246.429 11:3 3.667
31\39 953.846 246.154 4:1 4.000 Superhard 5L 19s
66\83 954.217 245.783 9:2 4.500
35\44 954.545 245.455 5:1 5.000
39\49 955.102 244.898 6:1 6.000
4\5 960.000 240.000 1:0 → ∞ Collapsed 5L 19s
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