8L 15s: 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
|-
| | 1\8
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 150.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|10\79
| | 8
| | 1
| | 8.000
| | 151.899
| |
|-
| |
| |
| |
| |
| |
| |
| |9\71
|
| | 7
| | 1
| | 7.000
| | 152.113
| |
|-
| |
| |
| |
| |
| |
| |
| |
|17\134
| | 13
| | 2
| | 6.500
| | 152.239
| |
|-
| |
| |
| |
| |
| |
| | 8\63
| |
|
| | 6
| | 1
| | 6.000
| | 152.381
| |
|-
| |
| |
| |
| |
| |
| |
| |15\118
|
| | 11
| | 2
| | 5.500
| | 152.542
| |
|-
| |
| |
| |
| |
| | 7\55
| |
| |
|
| | 5
| | 1
| | 5.000
| | 152.727
| |
|-
| |
| |
| |
| |
| |
| |
| |20\157
|
| | 14
| | 3
| | 4.667
| | 152.866
| |
|-
| |
| |
| |
| |
| |
| | 13\102
| |
|
| | 9
| | 2
| | 4.500
| | 152.941
| |
|-
| |
| |
| |
| |
| |
| |
| |19\149
|
| | 13
| | 3
| | 4.333
| | 153.020
| |
|-
| |
| |
| |
| | 6\47
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 153.191
| |
|-
| |
| |
| |
| |
| |
| | 17\133
| |
|
| | 11
| | 3
| | 3.667
| | 153.383
| |
|-
| |
| |
| |
| |
| | 11\86
| |
| |
|
| | 7
| | 2
| | 3.500
| | 153.488
| |
|-
| |
| |
| |
| |
| |
| | 16\125
| |
|
| | 10
| | 3
| | 3.333
| | 153.600
| |
|-
| |
| |
| |
| |
| |
| |
| |21\164
|
| | 13
| | 4
| | 3.250
| | 153.659
| |
|-
| |
| |
| | 5\39
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 153.846
| |
|-
| |
| |
| |
| |
| |
| | 19\148
| |
|
| | 11
| | 4
| | 2.750
| | 154.054
| |
|-
| |
| |
| |
| |
| | 14\109
| |
| |
|
| | 8
| | 3
| | 2.667
| | 154.128
| |
|-
| |
| |
| |
| | 9\70
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 154.286
| |
|-
| |
| |
| |
| |
| | 13\101
| |
| |
|
| | 7
| | 3
| | 2.333
| | 154.455
| |
|-
| |
| |
| |
| |
| |
| | 17\132
| |
|
| | 9
| | 4
| | 2.250
| | 154.545
| |
|-
| |
| |
| |
| |
| |
| |
| |21\163
|
| | 11
| | 5
| | 2.200
| | 154.601
| |
|-
| |
| | 4\31
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 154.839
| |
|-
| |
| |
| |
| |
| |
| | 19\147
| |
|
| | 9
| | 5
| | 1.800
| | 155.102
| |
|-
| |
| |
| |
| |
| | 15\116
| |
| |
|
| | 7
| | 4
| | 1.750
| | 155.172
| |
|-
| |
| |
| |
| | 11\85
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 155.294
| |
|-
| |
| |
| |
| |
| | 18\139
| |
| |
|
| | 8
| | 5
| | 1.600
| | 155.396
| |
|-
| |
| |
| | 7\54
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 155.556
| |
|-
| |
| |
| |
| |
| | 17\131
| |
| |
|
| | 7
| | 5
| | 1.400
| | 155.725
| |
|-
| |
| |
| |
| | 10\77
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 155.844
| |
|-
| |
| |
| |
| |
| | 13\100
| |
| |
|
| | 5
| | 4
| | 1.250
| | 156.000
| |
|-
| |
| |
| |
| |
| |
| | 16\123
| |
|
| | 6
| | 5
| | 1.200
| | 156.098
| |
|-
| |
| |
| |
| |
| |
| |
| |19\146
|
| | 7
| | 6
| | 1.167
| | 156.164
| |
|-
| |
| |
| |
| |
| |
| |
| |
|22\169
| | 8
| | 7
| | 1.143
| | 156.213
| |
|-
| | 3\23
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 156.522
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:49, 1 March 2024

↖ 7L 14s ↑ 8L 14s 9L 14s ↗
← 7L 15s 8L 15s 9L 15s →
↙ 7L 16s ↓ 8L 16s 9L 16s ↘
Scale structure
Step pattern LsLssLssLssLssLssLssLss
ssLssLssLssLssLssLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 20\23 to 7\8 (1043.5 ¢ to 1050.0 ¢)
Dark 1\8 to 3\23 (150.0 ¢ to 156.5 ¢)
TAMNAMS information
Related to 7L 1s (pine)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 8L 7s
Sister 15L 8s
Daughters 23L 8s, 8L 23s
Neutralized 16L 7s
2-Flought 31L 15s, 8L 38s
Equal tunings
Equalized (L:s = 1:1) 20\23 (1043.5 ¢)
Supersoft (L:s = 4:3) 67\77 (1044.2 ¢)
Soft (L:s = 3:2) 47\54 (1044.4 ¢)
Semisoft (L:s = 5:3) 74\85 (1044.7 ¢)
Basic (L:s = 2:1) 27\31 (1045.2 ¢)
Semihard (L:s = 5:2) 61\70 (1045.7 ¢)
Hard (L:s = 3:1) 34\39 (1046.2 ¢)
Superhard (L:s = 4:1) 41\47 (1046.8 ¢)
Collapsed (L:s = 1:0) 7\8 (1050.0 ¢)
View • Talk • Edit

8L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 8 large steps and 15 small steps, repeating every octave. 8L 15s is a grandchild scale of 7L 1s, expanding it by 15 tones. Generators that produce this scale range from 1043.5 ¢ to 1050 ¢, or from 150 ¢ to 156.5 ¢.

Modes

Modes of 8L 15s
UDP Cyclic
order		 Step
pattern
22|0 1 LsLssLssLssLssLssLssLss
21|1 21 LssLsLssLssLssLssLssLss
20|2 18 LssLssLsLssLssLssLssLss
19|3 15 LssLssLssLsLssLssLssLss
18|4 12 LssLssLssLssLsLssLssLss
17|5 9 LssLssLssLssLssLsLssLss
16|6 6 LssLssLssLssLssLssLsLss
15|7 3 LssLssLssLssLssLssLssLs
14|8 23 sLsLssLssLssLssLssLssLs
13|9 20 sLssLsLssLssLssLssLssLs
12|10 17 sLssLssLsLssLssLssLssLs
11|11 14 sLssLssLssLsLssLssLssLs
10|12 11 sLssLssLssLssLsLssLssLs
9|13 8 sLssLssLssLssLssLsLssLs
8|14 5 sLssLssLssLssLssLssLsLs
7|15 2 sLssLssLssLssLssLssLssL
6|16 22 ssLsLssLssLssLssLssLssL
5|17 19 ssLssLsLssLssLssLssLssL
4|18 16 ssLssLssLsLssLssLssLssL
3|19 13 ssLssLssLssLsLssLssLssL
2|20 10 ssLssLssLssLssLsLssLssL
1|21 7 ssLssLssLssLssLssLsLssL
0|22 4 ssLssLssLssLssLssLssLsL

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 8L 15s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
20\23 1043.478 156.522 1:1 1.000 Equalized 8L 15s
107\123 1043.902 156.098 6:5 1.200
87\100 1044.000 156.000 5:4 1.250
154\177 1044.068 155.932 9:7 1.286
67\77 1044.156 155.844 4:3 1.333 Supersoft 8L 15s
181\208 1044.231 155.769 11:8 1.375
114\131 1044.275 155.725 7:5 1.400
161\185 1044.324 155.676 10:7 1.429
47\54 1044.444 155.556 3:2 1.500 Soft 8L 15s
168\193 1044.560 155.440 11:7 1.571
121\139 1044.604 155.396 8:5 1.600
195\224 1044.643 155.357 13:8 1.625
74\85 1044.706 155.294 5:3 1.667 Semisoft 8L 15s
175\201 1044.776 155.224 12:7 1.714
101\116 1044.828 155.172 7:4 1.750
128\147 1044.898 155.102 9:5 1.800
27\31 1045.161 154.839 2:1 2.000 Basic 8L 15s
Scales with tunings softer than this are proper
115\132 1045.455 154.545 9:4 2.250
88\101 1045.545 154.455 7:3 2.333
149\171 1045.614 154.386 12:5 2.400
61\70 1045.714 154.286 5:2 2.500 Semihard 8L 15s
156\179 1045.810 154.190 13:5 2.600
95\109 1045.872 154.128 8:3 2.667
129\148 1045.946 154.054 11:4 2.750
34\39 1046.154 153.846 3:1 3.000 Hard 8L 15s
109\125 1046.400 153.600 10:3 3.333
75\86 1046.512 153.488 7:2 3.500
116\133 1046.617 153.383 11:3 3.667
41\47 1046.809 153.191 4:1 4.000 Superhard 8L 15s
89\102 1047.059 152.941 9:2 4.500
48\55 1047.273 152.727 5:1 5.000
55\63 1047.619 152.381 6:1 6.000
7\8 1050.000 150.000 1:0 → ∞ Collapsed 8L 15s
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