9L 11s: 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="9" | generator
{{Stub}}
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 4\9
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 533.333
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|41\92
| | 9
| | 1
| | 9.000
| | 534.783
| |
|-
| |
| |
| |
| |
| |
| |
| |
|37\83
|
| | 8
| | 1
| | 8.000
| | 534.940
| |
|-
| |
| |
| |
| |
| |
| |
| |33\74
|
|
| | 7
| | 1
| | 7.000
| | 535.135
| |
|-
| |
| |
| |
| |
| |
| |
| |
|62\139
|
| | 13
| | 2
| | 6.500
| | 535.252
| |
|-
| |
| |
| |
| |
| |
| | 29\65
| |
|
|
| | 6
| | 1
| | 6.000
| | 535.385
| |
|-
| |
| |
| |
| |
| |
| |
| |54\121
|
|
| | 11
| | 2
| | 5.500
| | 535.537
| |
|-
| |
| |
| |
| |
| | 25\56
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 535.714
| |
|-
| |
| |
| |
| |
| |
| | 46\103
| |
|
|
| | 9
| | 2
| | 4.500
| | 535.922
| |
|-
| |
| |
| |
| |
| |
| |
| |67\150
|
|
| | 13
| | 3
| | 4.333
| | 536.000
| |
|-
| |
| |
| |
| | 21\47
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 536.170
| |
|-
| |
| |
| |
| |
| |
| | 59\132
| |
|
|
| | 11
| | 3
| | 3.667
| | 536.364
| |
|-
| |
| |
| |
| |
| | 38\85
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 536.471
| |
|-
| |
| |
| |
| |
| |
| | 55\123
| |
|
|
| | 10
| | 3
| | 3.333
| | 536.585
| |
|-
| |
| |
| | 17\38
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 536.842
| |
|-
| |
| |
| |
| |
| |
| | 64\143
| |
|
|
| | 11
| | 4
| | 2.750
| | 537.063
| |
|-
| |
| |
| |
| |
| | 47\105
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 537.143
| |
|-
| |
| |
| |
| | 30\67
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 537.313
| |
|-
| |
| |
| |
| |
| | 43\96
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 537.500
| |
|-
| |
| |
| |
| |
| |
| | 56\125
| |
|
|
| | 9
| | 4
| | 2.250
| | 537.600
| |
|-
| |
| | 13\29
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 537.931
| |
|-
| |
| |
| |
| |
| |
| | 61\136
| |
|
|
| | 9
| | 5
| | 1.800
| | 538.235
| |
|-
| |
| |
| |
| |
| | 48\107
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 538.318
| |
|-
| |
| |
| |
| | 35\78
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 538.462
| |
|-
| |
| |
| |
| |
| | 57\127
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 538.583
| |
|-
| |
| |
| | 22\49
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 538.776
| |
|-
| |
| |
| |
| |
| | 53\118
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 538.983
| |
|-
| |
| |
| |
| | 31\69
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 539.130
| |
|-
| |
| |
| |
| |
| | 40\89
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 539.326
| |
|-
| |
| |
| |
| |
| |
| | 49\109
| |
|
|
| | 6
| | 5
| | 1.200
| | 539.450
| |
|-
| |
| |
| |
| |
| |
| |
| |58\129
|
|
| | 7
| | 6
| | 1.167
| | 539.535
| |
|-
| |
| |
| |
| |
| |
| |
| |
|67\149
|
| | 8
| | 7
| | 1.143
| | 539.597
| |
|-
|
|
|
|
|
|
|
|
|76\169
|9
|8
|1.125
|539.645
|
|-
| | 9\20
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 540.000
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:47, 1 March 2024

↖ 8L 10s ↑ 9L 10s 10L 10s ↗
← 8L 11s 9L 11s 10L 11s →
↙ 8L 12s ↓ 9L 12s 10L 12s ↘
Scale structure
Step pattern LsLsLsLsLssLsLsLsLss
ssLsLsLsLssLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\20 to 5\9 (660.0 ¢ to 666.7 ¢)
Dark 4\9 to 9\20 (533.3 ¢ to 540.0 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 9L 2s
Sister 11L 9s
Daughters 20L 9s, 9L 20s
Neutralized 18L 2s
2-Flought 29L 11s, 9L 31s
Equal tunings
Equalized (L:s = 1:1) 11\20 (660.0 ¢)
Supersoft (L:s = 4:3) 38\69 (660.9 ¢)
Soft (L:s = 3:2) 27\49 (661.2 ¢)
Semisoft (L:s = 5:3) 43\78 (661.5 ¢)
Basic (L:s = 2:1) 16\29 (662.1 ¢)
Semihard (L:s = 5:2) 37\67 (662.7 ¢)
Hard (L:s = 3:1) 21\38 (663.2 ¢)
Superhard (L:s = 4:1) 26\47 (663.8 ¢)
Collapsed (L:s = 1:0) 5\9 (666.7 ¢)
View • Talk • Edit

9L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 11 small steps, repeating every octave. 9L 11s is a grandchild scale of 2L 7s, expanding it by 11 tones. Generators that produce this scale range from 660 ¢ to 666.7 ¢, or from 533.3 ¢ to 540 ¢.

Modes

Modes of 9L 11s
UDP Cyclic
order		 Step
pattern
19|0 1 LsLsLsLsLssLsLsLsLss
18|1 12 LsLsLsLssLsLsLsLsLss
17|2 3 LsLsLsLssLsLsLsLssLs
16|3 14 LsLsLssLsLsLsLsLssLs
15|4 5 LsLsLssLsLsLsLssLsLs
14|5 16 LsLssLsLsLsLsLssLsLs
13|6 7 LsLssLsLsLsLssLsLsLs
12|7 18 LssLsLsLsLsLssLsLsLs
11|8 9 LssLsLsLsLssLsLsLsLs
10|9 20 sLsLsLsLsLssLsLsLsLs
9|10 11 sLsLsLsLssLsLsLsLsLs
8|11 2 sLsLsLsLssLsLsLsLssL
7|12 13 sLsLsLssLsLsLsLsLssL
6|13 4 sLsLsLssLsLsLsLssLsL
5|14 15 sLsLssLsLsLsLsLssLsL
4|15 6 sLsLssLsLsLsLssLsLsL
3|16 17 sLssLsLsLsLsLssLsLsL
2|17 8 sLssLsLsLsLssLsLsLsL
1|18 19 ssLsLsLsLsLssLsLsLsL
0|19 10 ssLsLsLsLssLsLsLsLsL

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 9L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\20 660.000 540.000 1:1 1.000 Equalized 9L 11s
60\109 660.550 539.450 6:5 1.200
49\89 660.674 539.326 5:4 1.250
87\158 660.759 539.241 9:7 1.286
38\69 660.870 539.130 4:3 1.333 Supersoft 9L 11s
103\187 660.963 539.037 11:8 1.375
65\118 661.017 538.983 7:5 1.400
92\167 661.078 538.922 10:7 1.429
27\49 661.224 538.776 3:2 1.500 Soft 9L 11s
97\176 661.364 538.636 11:7 1.571
70\127 661.417 538.583 8:5 1.600
113\205 661.463 538.537 13:8 1.625
43\78 661.538 538.462 5:3 1.667 Semisoft 9L 11s
102\185 661.622 538.378 12:7 1.714
59\107 661.682 538.318 7:4 1.750
75\136 661.765 538.235 9:5 1.800
16\29 662.069 537.931 2:1 2.000 Basic 9L 11s
Scales with tunings softer than this are proper
69\125 662.400 537.600 9:4 2.250
53\96 662.500 537.500 7:3 2.333
90\163 662.577 537.423 12:5 2.400
37\67 662.687 537.313 5:2 2.500 Semihard 9L 11s
95\172 662.791 537.209 13:5 2.600
58\105 662.857 537.143 8:3 2.667
79\143 662.937 537.063 11:4 2.750
21\38 663.158 536.842 3:1 3.000 Hard 9L 11s
68\123 663.415 536.585 10:3 3.333
47\85 663.529 536.471 7:2 3.500
73\132 663.636 536.364 11:3 3.667
26\47 663.830 536.170 4:1 4.000 Superhard 9L 11s
57\103 664.078 535.922 9:2 4.500
31\56 664.286 535.714 5:1 5.000
36\65 664.615 535.385 6:1 6.000
5\9 666.667 533.333 1:0 → ∞ Collapsed 9L 11s
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