13L 14s: 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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4,810 edits
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="9" | generator
{{Stub}}
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\13
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 92.308
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|10\131
| | 9
| | 1
| | 9.000
| | 91.603
| |
|-
| |
| |
| |
| |
| |
| |
| |
|9\118
|
| | 8
| | 1
| | 8.000
| | 91.525
| |
|-
| |
| |
| |
| |
| |
| |
| |8\105
|
|
| | 7
| | 1
| | 7.000
| | 91.429
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\197
|
| | 13
| | 2
| | 6.500
| | 91.371
| |
|-
| |
| |
| |
| |
| |
| | 7\92
| |
|
|
| | 6
| | 1
| | 6.000
| | 91.304
| |
|-
| |
| |
| |
| |
| |
| |
| |13\171
|
|
| | 11
| | 2
| | 5.500
| | 91.228
| |
|-
| |
| |
| |
| |
| | 6\79
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 91.139
| |
|-
| |
| |
| |
| |
| |
| | 11\145
| |
|
|
| | 9
| | 2
| | 4.500
| | 91.034
| |
|-
| |
| |
| |
| |
| |
| |
| |16\211
|
|
| | 13
| | 3
| | 4.333
| | 90.995
| |
|-
| |
| |
| |
| | 5\66
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 90.909
| |
|-
| |
| |
| |
| |
| |
| | 14\185
| |
|
|
| | 11
| | 3
| | 3.667
| | 90.811
| |
|-
| |
| |
| |
| |
| | 9\119
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 90.756
| |
|-
| |
| |
| |
| |
| |
| | 13\172
| |
|
|
| | 10
| | 3
| | 3.333
| | 90.698
| |
|-
| |
| |
| | 4\53
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 90.566
| |
|-
| |
| |
| |
| |
| |
| | 15\199
| |
|
|
| | 11
| | 4
| | 2.750
| | 90.452
| |
|-
| |
| |
| |
| |
| | 11\146
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 90.411
| |
|-
| |
| |
| |
| | 7\93
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 90.323
| |
|-
| |
| |
| |
| |
| | 10\133
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 90.226
| |
|-
| |
| |
| |
| |
| |
| | 13\173
| |
|
|
| | 9
| | 4
| | 2.250
| | 90.173
| |
|-
| |
| |
| |
| |
| |
| |
| |16\213
|
|
| | 11
| | 5
| | 2.200
| | 90.141
| |
|-
| |
| | 3\40
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 90.000
| |
|-
| |
| |
| |
| |
| |
| | 14\187
| |
|
|
| | 9
| | 5
| | 1.800
| | 89.840
| |
|-
| |
| |
| |
| |
| | 11\147
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 89.796
| |
|-
| |
| |
| |
| | 8\107
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 89.720
| |
|-
| |
| |
| |
| |
| | 13\174
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 89.655
| |
|-
| |
| |
| | 5\67
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 89.552
| |
|-
| |
| |
| |
| |
| | 12\161
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 89.441
| |
|-
| |
| |
| |
| | 7\94
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 89.362
| |
|-
| |
| |
| |
| |
| |
| | 16\215
| |
|
|
| | 9
| | 7
| | 1.286
| | 89.302
| |
|-
| |
| |
| |
| |
| | 9\121
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 89.256
| |
|-
| |
| |
| |
| |
| |
| | 11\148
| |
|
|
| | 6
| | 5
| | 1.200
| | 89.189
| |
|-
| |
| |
| |
| |
| |
| |
| |13\175
|
|
| | 7
| | 6
| | 1.167
| | 89.143
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\202
|
| | 8
| | 7
| | 1.143
| | 89.109
| |
|-
|
|
|
|
|
|
|
|
|17\229
|9
|8
|1.125
|89.083
|
|-
| | 2\27
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 88.889
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:40, 1 March 2024

↖ 12L 13s ↑ 13L 13s 14L 13s ↗
← 12L 14s 13L 14s 14L 14s →
↙ 12L 15s ↓ 13L 15s 14L 15s ↘ 
┌╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬╥┬┬┐
│║│║│║│║│║│║│║│║│║│║│║│║│║│││
│││││││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLsLsLsLsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 2\27 to 1\13 (88.9 ¢ to 92.3 ¢)
Dark 12\13 to 25\27 (1107.7 ¢ to 1111.1 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 4:1 to 9:2
Related MOS scales
Parent 13L 1s
Sister 14L 13s
Daughters 27L 13s, 13L 27s
Neutralized 26L 1s
2-Flought 40L 14s, 13L 41s
Equal tunings
Equalized (L:s = 1:1) 2\27 (88.9 ¢)
Supersoft (L:s = 4:3) 7\94 (89.4 ¢)
Soft (L:s = 3:2) 5\67 (89.6 ¢)
Semisoft (L:s = 5:3) 8\107 (89.7 ¢)
Basic (L:s = 2:1) 3\40 (90.0 ¢)
Semihard (L:s = 5:2) 7\93 (90.3 ¢)
Hard (L:s = 3:1) 4\53 (90.6 ¢)
Superhard (L:s = 4:1) 5\66 (90.9 ¢)
Collapsed (L:s = 1:0) 1\13 (92.3 ¢)

13L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 13 large steps and 14 small steps, repeating every octave. 13L 14s is related to 1L 9s, expanding it by 17 tones. Generators that produce this scale range from 88.9 ¢ to 92.3 ¢, or from 1107.7 ¢ to 1111.1 ¢.

Modes

Modes of 13L 14s
UDP Cyclic
order		 Step
pattern
26|0 1 LsLsLsLsLsLsLsLsLsLsLsLsLss
25|1 3 LsLsLsLsLsLsLsLsLsLsLsLssLs
24|2 5 LsLsLsLsLsLsLsLsLsLsLssLsLs
23|3 7 LsLsLsLsLsLsLsLsLsLssLsLsLs
22|4 9 LsLsLsLsLsLsLsLsLssLsLsLsLs
21|5 11 LsLsLsLsLsLsLsLssLsLsLsLsLs
20|6 13 LsLsLsLsLsLsLssLsLsLsLsLsLs
19|7 15 LsLsLsLsLsLssLsLsLsLsLsLsLs
18|8 17 LsLsLsLsLssLsLsLsLsLsLsLsLs
17|9 19 LsLsLsLssLsLsLsLsLsLsLsLsLs
16|10 21 LsLsLssLsLsLsLsLsLsLsLsLsLs
15|11 23 LsLssLsLsLsLsLsLsLsLsLsLsLs
14|12 25 LssLsLsLsLsLsLsLsLsLsLsLsLs
13|13 27 sLsLsLsLsLsLsLsLsLsLsLsLsLs
12|14 2 sLsLsLsLsLsLsLsLsLsLsLsLssL
11|15 4 sLsLsLsLsLsLsLsLsLsLsLssLsL
10|16 6 sLsLsLsLsLsLsLsLsLsLssLsLsL
9|17 8 sLsLsLsLsLsLsLsLsLssLsLsLsL
8|18 10 sLsLsLsLsLsLsLsLssLsLsLsLsL
7|19 12 sLsLsLsLsLsLsLssLsLsLsLsLsL
6|20 14 sLsLsLsLsLsLssLsLsLsLsLsLsL
5|21 16 sLsLsLsLsLssLsLsLsLsLsLsLsL
4|22 18 sLsLsLsLssLsLsLsLsLsLsLsLsL
3|23 20 sLsLsLssLsLsLsLsLsLsLsLsLsL
2|24 22 sLsLssLsLsLsLsLsLsLsLsLsLsL
1|25 24 sLssLsLsLsLsLsLsLsLsLsLsLsL
0|26 26 ssLsLsLsLsLsLsLsLsLsLsLsLsL

Scale tree

Template:Scale tree

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