5L 17s: 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}}
! colspan="8" | generator
{{Stub}}
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 2\5
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 480.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|23\57
| | 8
| | 1
| | 8.000
| | 484.211
| |
|-
| |
| |
| |
| |
| |
| |
| |21\52
|
| | 7
| | 1
| | 7.000
| | 484.615
| |
|-
| |
| |
| |
| |
| |
| |
| |
|40\99
| | 13
| | 2
| | 6.500
| | 484.848
| |
|-
| |
| |
| |
| |
| |
| | 19\47
| |
|
| | 6
| | 1
| | 6.000
| | 485.106
| |
|-
| |
| |
| |
| |
| |
| |
| |
|55\136
| | 17
| | 3
| | 5.667
| | 485.294
| |
|-
| |
| |
| |
| |
| |
| |
| |36\89
|
| | 11
| | 2
| | 5.500
| | 485.393
| |
|-
| |
| |
| |
| |
| |
| |
| |
|53\131
| | 16
| | 3
| | 5.333
| | 485.496
| |
|-
| |
| |
| |
| |
| | 17\42
| |
| |
|
| | 5
| | 1
| | 5.000
| | 485.714
| |
|-
| |
| |
| |
| |
| |
| |
| |49\121
|
| | 14
| | 3
| | 4.667
| | 485.950
| |
|-
| |
| |
| |
| |
| |
| | 32\79
| |
|
| | 9
| | 2
| | 4.500
| | 486.076
| |
|-
| |
| |
| |
| |
| |
| |
| |47\116
|
| | 13
| | 3
| | 4.333
| | 486.207
| |
|-
| |
| |
| |
| |
| |
| |
| |
|62\153
| | 17
| | 4
| | 4.250
| | 486.275
| |
|-
| |
| |
| |
| | 15\37
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 486.486
| |
|-
| |
| |
| |
| |
| |
| |
| |58\143
|
| | 15
| | 4
| | 3.750
| | 486.713
| |
|-
| |
| |
| |
| |
| |
| | 43\106
| |
|
| | 11
| | 3
| | 3.667
| | 486.792
| |
|-
| |
| |
| |
| |
| | 28\69
| |
| |
|
| | 7
| | 2
| | 3.500
| | 486.957
| |
|-
| |
| |
| |
| |
| |
| | 41\101
| |
|
| | 10
| | 3
| | 3.333
| | 487.129
| |
|-
| |
| |
| |
| |
| |
| |
| |54\133
|
| | 13
| | 4
| | 3.250
| | 487.218
| |
|-
| |
| |
| | 13\32
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 487.500
| |
|-
| |
| |
| |
| |
| |
| |
| |63\155
|
| | 14
| | 5
| | 2.800
| | 487.742
| |
|-
| |
| |
| |
| |
| |
| | 50\123
| |
|
| | 11
| | 4
| | 2.750
| | 487.805
| |
|-
| |
| |
| |
| |
| | 37\91
| |
| |
|
| | 8
| | 3
| | 2.667
| | 487.912
| |
|-
| |
| |
| |
| |
| |
| | 61\150
| |
|
| | 13
| | 5
| | 2.600
| | 488.000
| |
|-
| |
| |
| |
| | 24\59
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 488.136
| |
|-
| |
| |
| |
| |
| |
| | 59\145
| |
|
| | 12
| | 5
| | 2.400
| | 488.276
| |
|-
| |
| |
| |
| |
| | 35\86
| |
| |
|
| | 7
| | 3
| | 2.333
| | 488.372
| |
|-
| |
| |
| |
| |
| |
| | 46\113
| |
|
| | 9
| | 4
| | 2.250
| | 488.496
| |
|-
| |
| |
| |
| |
| |
| |
| |57\140
|
| | 11
| | 5
| | 2.200
| | 488.571
| |
|-
| |
| | 11\27
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 488.889
| |
|-
| |
| |
| |
| |
| |
| |
| |64\157
|
| | 11
| | 6
| | 1.833
| | 489.172
| |
|-
| |
| |
| |
| |
| |
| | 53\130
| |
|
| | 9
| | 5
| | 1.800
| | 489.231
| |
|-
| |
| |
| |
| |
| | 42\103
| |
| |
|
| | 7
| | 4
| | 1.750
| | 489.320
| |
|-
| |
| |
| |
| | 31\76
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 489.474
| |
|-
| |
| |
| |
| |
| | 51\125
| |
| |
|
| | 8
| | 5
| | 1.600
| | 489.600
| |
|-
| |
| |
| | 20\49
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 489.796
| |
|-
| |
| |
| |
| |
| | 49\120
| |
| |
|
| | 7
| | 5
| | 1.400
| | 490.000
| |
|-
| |
| |
| |
| | 29\71
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 490.141
| |
|-
| |
| |
| |
| |
| | 38\93
| |
| |
|
| | 5
| | 4
| | 1.250
| | 490.323
| |
|-
| |
| |
| |
| |
| |
| | 47\115
| |
|
| | 6
| | 5
| | 1.200
| | 490.435
| |
|-
| |
| |
| |
| |
| |
| |
| |56\137
|
| | 7
| | 6
| | 1.167
| | 490.511
| |
|-
| |
| |
| |
| |
| |
| |
| |
|65\159
| | 8
| | 7
| | 1.143
| | 490.566
| |
|-
| | 9\22
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 490.909
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:53, 1 March 2024

↖ 4L 16s ↑ 5L 16s 6L 16s ↗
← 4L 17s 5L 17s 6L 17s →
↙ 4L 18s ↓ 5L 18s 6L 18s ↘
Scale structure
Step pattern LsssLsssLssssLsssLssss
ssssLsssLssssLsssLsssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\22 to 3\5 (709.1 ¢ to 720.0 ¢)
Dark 2\5 to 9\22 (480.0 ¢ to 490.9 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 4:1 to 1:0 (ultrahard)
Related MOS scales
Parent 5L 12s
Sister 17L 5s
Daughters 22L 5s, 5L 22s
Neutralized 10L 12s
2-Flought 27L 17s, 5L 39s
Equal tunings
Equalized (L:s = 1:1) 13\22 (709.1 ¢)
Supersoft (L:s = 4:3) 42\71 (709.9 ¢)
Soft (L:s = 3:2) 29\49 (710.2 ¢)
Semisoft (L:s = 5:3) 45\76 (710.5 ¢)
Basic (L:s = 2:1) 16\27 (711.1 ¢)
Semihard (L:s = 5:2) 35\59 (711.9 ¢)
Hard (L:s = 3:1) 19\32 (712.5 ¢)
Superhard (L:s = 4:1) 22\37 (713.5 ¢)
Collapsed (L:s = 1:0) 3\5 (720.0 ¢)
View • Talk • Edit

5L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 17 small steps, repeating every octave. 5L 17s is a great-grandchild scale of 5L 2s, expanding it by 15 tones. Generators that produce this scale range from 709.1 ¢ to 720 ¢, or from 480 ¢ to 490.9 ¢.

Modes

Modes of 5L 17s
UDP Cyclic
order		 Step
pattern
21|0 1 LsssLsssLssssLsssLssss
20|1 14 LsssLssssLsssLsssLssss
19|2 5 LsssLssssLsssLssssLsss
18|3 18 LssssLsssLsssLssssLsss
17|4 9 LssssLsssLssssLsssLsss
16|5 22 sLsssLsssLssssLsssLsss
15|6 13 sLsssLssssLsssLsssLsss
14|7 4 sLsssLssssLsssLssssLss
13|8 17 sLssssLsssLsssLssssLss
12|9 8 sLssssLsssLssssLsssLss
11|10 21 ssLsssLsssLssssLsssLss
10|11 12 ssLsssLssssLsssLsssLss
9|12 3 ssLsssLssssLsssLssssLs
8|13 16 ssLssssLsssLsssLssssLs
7|14 7 ssLssssLsssLssssLsssLs
6|15 20 sssLsssLsssLssssLsssLs
5|16 11 sssLsssLssssLsssLsssLs
4|17 2 sssLsssLssssLsssLssssL
3|18 15 sssLssssLsssLsssLssssL
2|19 6 sssLssssLsssLssssLsssL
1|20 19 ssssLsssLsssLssssLsssL
0|21 10 ssssLsssLssssLsssLsssL

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 17s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
13\22 709.091 490.909 1:1 1.000 Equalized 5L 17s
68\115 709.565 490.435 6:5 1.200
55\93 709.677 490.323 5:4 1.250
97\164 709.756 490.244 9:7 1.286
42\71 709.859 490.141 4:3 1.333 Supersoft 5L 17s
113\191 709.948 490.052 11:8 1.375
71\120 710.000 490.000 7:5 1.400
100\169 710.059 489.941 10:7 1.429
29\49 710.204 489.796 3:2 1.500 Soft 5L 17s
103\174 710.345 489.655 11:7 1.571
74\125 710.400 489.600 8:5 1.600
119\201 710.448 489.552 13:8 1.625
45\76 710.526 489.474 5:3 1.667 Semisoft 5L 17s
106\179 710.615 489.385 12:7 1.714
61\103 710.680 489.320 7:4 1.750
77\130 710.769 489.231 9:5 1.800
16\27 711.111 488.889 2:1 2.000 Basic 5L 17s
Scales with tunings softer than this are proper
67\113 711.504 488.496 9:4 2.250
51\86 711.628 488.372 7:3 2.333
86\145 711.724 488.276 12:5 2.400
35\59 711.864 488.136 5:2 2.500 Semihard 5L 17s
89\150 712.000 488.000 13:5 2.600
54\91 712.088 487.912 8:3 2.667
73\123 712.195 487.805 11:4 2.750
19\32 712.500 487.500 3:1 3.000 Hard 5L 17s
60\101 712.871 487.129 10:3 3.333
41\69 713.043 486.957 7:2 3.500
63\106 713.208 486.792 11:3 3.667
22\37 713.514 486.486 4:1 4.000 Superhard 5L 17s
47\79 713.924 486.076 9:2 4.500
25\42 714.286 485.714 5:1 5.000
28\47 714.894 485.106 6:1 6.000
3\5 720.000 480.000 1:0 → ∞ Collapsed 5L 17s
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