1L 13s: Difference between revisions

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Mos intro
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
6,211 edits
Replaced and populated scale tree
Tags: Replaced Visual edit
Line 8: Line 8:
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{{MOS intro}}
{{MOS intro}}
{| class="wikitable"
! colspan="8" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 0\1
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 0.000
| |
|-
|
|
|
|
|
|
|
|1\21
|8
|1
|8.000
|57.143
|
|-
| |
| |
| |
| |
| |
| |
| | 1\20
| |
| | 7
| | 1
| | 7.000
| | 60.000
| |
|-
| |
| |
| |
| |
| |
| | 1\19
| |
| |
| | 6
| | 1
| | 6.000
| | 63.158
| |
|-
| |
| |
| |
| |
| |
| |
| | 2\37
| |
| | 11
| | 2
| | 5.500
| | 64.865
| |
|-
| |
| |
| |
| |
| | 1\18
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 66.667
| |
|-
| |
| |
| |
| |
| |
| |
| | 3\53
| |
| | 14
| | 3
| | 4.667
| | 67.925
| |
|-
| |
| |
| |
| |
| |
| | 2\35
| |
| |
| | 9
| | 2
| | 4.500
| | 68.571
| |
|-
| |
| |
| |
| |
| |
| |
| | 3\52
| |
| | 13
| | 3
| | 4.333
| | 69.231
| |
|-
| |
| |
| |
| | 1\17
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 70.588
| |
|-
| |
| |
| |
| |
| |
| |
| | 4\67
| |
| | 15
| | 4
| | 3.750
| | 71.642
| |
|-
| |
| |
| |
| |
| |
| | 3\50
| |
| |
| | 11
| | 3
| | 3.667
| | 72.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\83
| |
| | 18
| | 5
| | 3.600
| | 72.289
| |
|-
| |
| |
| |
| |
| | 2\33
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 72.727
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\82
| |
| | 17
| | 5
| | 3.400
| | 73.171
| |
|-
| |
| |
| |
| |
| |
| | 3\49
| |
| |
| | 10
| | 3
| | 3.333
| | 73.469
| |
|-
| |
| |
| |
| |
| |
| |
| | 4\65
| |
| | 13
| | 4
| | 3.250
| | 73.846
| |
|-
| |
| |
| | 1\16
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 75.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\79
| |
| | 14
| | 5
| | 2.800
| | 75.949
| |
|-
| |
| |
| |
| |
| |
| | 4\63
| |
| |
| | 11
| | 4
| | 2.750
| | 76.190
| |
|-
| |
| |
| |
| |
| | 3\47
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 76.596
| |
|-
| |
| |
| |
| |
| |
| | 5\78
| |
| |
| | 13
| | 5
| | 2.600
| | 76.923
| |
|-
| |
| |
| |
| | 2\31
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 77.419
| |
|-
| |
| |
| |
| |
| |
| | 5\77
| |
| |
| | 12
| | 5
| | 2.400
| | 77.922
| |
|-
| |
| |
| |
| |
| | 3\46
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 78.261
| |
|-
| |
| |
| |
| |
| |
| | 4\61
| |
| |
| | 9
| | 4
| | 2.250
| | 78.689
| |
|-
| |
| |
| |
| |
| |
| |
| | 5\76
| |
| | 11
| | 5
| | 2.200
| | 78.947
| |
|-
| |
| | 1\15
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 80.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 6\89
| |
| | 11
| | 6
| | 1.833
| | 80.899
| |
|-
| |
| |
| |
| |
| |
| | 5\74
| |
| |
| | 9
| | 5
| | 1.800
| | 81.081
| |
|-
| |
| |
| |
| |
| | 4\59
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 81.356
| |
|-
| |
| |
| |
| | 3\44
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 81.818
| | Nautilus is around here
|-
| |
| |
| |
| |
| | 5\73
| |
| |
| |
| | 8
| | 5
| | 1.600
| | 82.192
| |
|-
| |
| |
| | 2\29
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 82.759
| |
|-
| |
| |
| |
| |
| | 5\72
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 83.333
| |
|-
| |
| |
| |
| | 3\43
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 83.721
| |
|-
| |
| |
| |
| |
| | 4\57
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 84.211
| |
|-
| |
| |
| |
| |
| |
| | 5\71
| |
| |
| | 6
| | 5
| | 1.200
| | 84.507
| |
|-
| |
| |
| |
| |
| |
| |
| | 6\85
| |
| | 7
| | 6
| | 1.167
| | 84.706
| |
|-
|
|
|
|
|
|
|
|7\99
|8
|7
|1.143
|84.8485
|
|-
| | 1\14
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 85.714
| |
|}


{{Scale tree|Comments=5/3: [[Nautilus]]}}
[[Category:14-tone scales]]
[[Category:14-tone scales]]

Revision as of 06:55, 3 March 2024

↑ 1L 12s 2L 12s ↗
1L 13s 2L 13s →
↓ 1L 14s 2L 14s ↘
Scale structure
Step pattern Lsssssssssssss
sssssssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\14 to 1\1 (1114.3 ¢ to 1200.0 ¢)
Dark 0\1 to 1\14 (0.0 ¢ to 85.7 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 5:1 to 1:0
Related MOS scales
Parent 1L 12s
Sister 13L 1s
Daughters 14L 1s, 1L 14s
Neutralized 2L 12s
2-Flought 15L 13s, 1L 27s
Equal tunings
Equalized (L:s = 1:1) 13\14 (1114.3 ¢)
Supersoft (L:s = 4:3) 40\43 (1116.3 ¢)
Soft (L:s = 3:2) 27\29 (1117.2 ¢)
Semisoft (L:s = 5:3) 41\44 (1118.2 ¢)
Basic (L:s = 2:1) 14\15 (1120.0 ¢)
Semihard (L:s = 5:2) 29\31 (1122.6 ¢)
Hard (L:s = 3:1) 15\16 (1125.0 ¢)
Superhard (L:s = 4:1) 16\17 (1129.4 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)
View • Talk • Edit

1L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 13 small steps, repeating every octave. 1L 13s is related to 1L 9s, expanding it by 4 tones. Generators that produce this scale range from 1114.3 ¢ to 1200 ¢, or from 0 ¢ to 85.7 ¢.

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 1L 13s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
13\14 1114.286 85.714 1:1 1.000 Equalized 1L 13s
66\71 1115.493 84.507 6:5 1.200
53\57 1115.789 84.211 5:4 1.250
93\100 1116.000 84.000 9:7 1.286
40\43 1116.279 83.721 4:3 1.333 Supersoft 1L 13s
107\115 1116.522 83.478 11:8 1.375
67\72 1116.667 83.333 7:5 1.400
94\101 1116.832 83.168 10:7 1.429
27\29 1117.241 82.759 3:2 1.500 Soft 1L 13s
95\102 1117.647 82.353 11:7 1.571
68\73 1117.808 82.192 8:5 1.600
109\117 1117.949 82.051 13:8 1.625
41\44 1118.182 81.818 5:3 1.667 Semisoft 1L 13s
Nautilus
96\103 1118.447 81.553 12:7 1.714
55\59 1118.644 81.356 7:4 1.750
69\74 1118.919 81.081 9:5 1.800
14\15 1120.000 80.000 2:1 2.000 Basic 1L 13s
Scales with tunings softer than this are proper
57\61 1121.311 78.689 9:4 2.250
43\46 1121.739 78.261 7:3 2.333
72\77 1122.078 77.922 12:5 2.400
29\31 1122.581 77.419 5:2 2.500 Semihard 1L 13s
73\78 1123.077 76.923 13:5 2.600
44\47 1123.404 76.596 8:3 2.667
59\63 1123.810 76.190 11:4 2.750
15\16 1125.000 75.000 3:1 3.000 Hard 1L 13s
46\49 1126.531 73.469 10:3 3.333
31\33 1127.273 72.727 7:2 3.500
47\50 1128.000 72.000 11:3 3.667
16\17 1129.412 70.588 4:1 4.000 Superhard 1L 13s
33\35 1131.429 68.571 9:2 4.500
17\18 1133.333 66.667 5:1 5.000
18\19 1136.842 63.158 6:1 6.000
1\1 1200.000 0.000 1:0 → ∞ Collapsed 1L 13s
Retrieved from "https://en.xen.wiki/index.php?title=1L_13s&oldid=137944"