12L 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
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Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}
! colspan="9" | generator
<nowiki>:</nowiki>
! | L
{{Stub}}
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\12
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 100.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|10\119
| | 9
| | 1
| | 9.000
| | 100.840
| |
|-
| |
| |
| |
| |
| |
| |
| |
|9\107
|
| | 8
| | 1
| | 8.000
| | 100.935
| |
|-
| |
| |
| |
| |
| |
| |
| |8\95
|
|
| | 7
| | 1
| | 7.000
| | 101.053
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\178
|
| | 13
| | 2
| | 6.500
| | 101.124
| |
|-
| |
| |
| |
| |
| |
| | 7\83
| |
|
|
| | 6
| | 1
| | 6.000
| | 101.205
| |
|-
| |
| |
| |
| |
| |
| |
| |13\154
|
|
| | 11
| | 2
| | 5.500
| | 101.299
| |
|-
| |
| |
| |
| |
| | 6\71
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 101.408
| |
|-
| |
| |
| |
| |
| |
| | 11\130
| |
|
|
| | 9
| | 2
| | 4.500
| | 101.538
| |
|-
| |
| |
| |
| | 5\59
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 101.695
| |
|-
| |
| |
| |
| |
| |
| | 14\165
| |
|
|
| | 11
| | 3
| | 3.667
| | 101.818
| |
|-
| |
| |
| |
| |
| | 9\106
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 101.887
| |
|-
| |
| |
| |
| |
| |
| | 13\153
| |
|
|
| | 10
| | 3
| | 3.333
| | 101.961
| |
|-
| |
| |
| | 4\47
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 102.128
| |
|-
| |
| |
| |
| |
| |
| | 15\176
| |
|
|
| | 11
| | 4
| | 2.750
| | 102.273
| |
|-
| |
| |
| |
| |
| | 11\129
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 102.326
| |
|-
| |
| |
| |
| | 7\82
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 102.439
| |
|-
| |
| |
| |
| |
| | 10\117
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 102.564
| |
|-
| |
| |
| |
| |
| |
| | 13\152
| |
|
|
| | 9
| | 4
| | 2.250
| | 102.632
| |
|-
| |
| | 3\35
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 102.857
| |
|-
| |
| |
| |
| |
| |
| | 14\163
| |
|
|
| | 9
| | 5
| | 1.800
| | 103.067
| |
|-
| |
| |
| |
| |
| | 11\128
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 103.125
| |
|-
| |
| |
| |
| | 8\93
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 103.226
| |
|-
| |
| |
| |
| |
| | 13\151
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 103.311
| |
|-
| |
| |
| | 5\58
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 103.448
| |
|-
| |
| |
| |
| |
| | 12\139
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 103.597
| |
|-
| |
| |
| |
| | 7\81
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 103.704
| |
|-
| |
| |
| |
| |
| | 9\104
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 103.846
| |
|-
| |
| |
| |
| |
| |
| | 11\127
| |
|
|
| | 6
| | 5
| | 1.200
| | 103.937
| |
|-
| |
| |
| |
| |
| |
| |
| |13\150
|
|
| | 7
| | 6
| | 1.167
| | 104.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\173
|
| | 8
| | 7
| | 1.143
| | 104.046
| |
|-
|
|
|
|
|
|
|
|
|17\196
|9
|8
|1.125
|104.082
|
|-
| | 2\23
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 104.348
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 06:59, 1 March 2024

↖ 11L 10s ↑ 12L 10s 13L 10s ↗
← 11L 11s 12L 11s 13L 11s →
↙ 11L 12s ↓ 12L 12s 13L 12s ↘
Scale structure
Step pattern LLsLsLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 21\23 to 11\12 (1095.7 ¢ to 1100.0 ¢)
Dark 1\12 to 2\23 (100.0 ¢ to 104.3 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 5:2 to 3:1 (quasihard)
Related MOS scales
Parent 11L 1s
Sister 11L 12s
Daughters 23L 12s, 12L 23s
Neutralized 1L 22s
2-Flought 35L 11s, 12L 34s
Equal tunings
Equalized (L:s = 1:1) 21\23 (1095.7 ¢)
Supersoft (L:s = 4:3) 74\81 (1096.3 ¢)
Soft (L:s = 3:2) 53\58 (1096.6 ¢)
Semisoft (L:s = 5:3) 85\93 (1096.8 ¢)
Basic (L:s = 2:1) 32\35 (1097.1 ¢)
Semihard (L:s = 5:2) 75\82 (1097.6 ¢)
Hard (L:s = 3:1) 43\47 (1097.9 ¢)
Superhard (L:s = 4:1) 54\59 (1098.3 ¢)
Collapsed (L:s = 1:0) 11\12 (1100.0 ¢)
View • Talk • Edit

12L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 11 small steps, repeating every octave. 12L 11s is a great-grandchild scale of 1L 9s, expanding it by 13 tones. Generators that produce this scale range from 1095.7 ¢ to 1100 ¢, or from 100 ¢ to 104.3 ¢.

Modes

Modes of 12L 11s
UDP Cyclic
order		 Step
pattern
22|0 1 LLsLsLsLsLsLsLsLsLsLsLs
21|1 22 LsLLsLsLsLsLsLsLsLsLsLs
20|2 20 LsLsLLsLsLsLsLsLsLsLsLs
19|3 18 LsLsLsLLsLsLsLsLsLsLsLs
18|4 16 LsLsLsLsLLsLsLsLsLsLsLs
17|5 14 LsLsLsLsLsLLsLsLsLsLsLs
16|6 12 LsLsLsLsLsLsLLsLsLsLsLs
15|7 10 LsLsLsLsLsLsLsLLsLsLsLs
14|8 8 LsLsLsLsLsLsLsLsLLsLsLs
13|9 6 LsLsLsLsLsLsLsLsLsLLsLs
12|10 4 LsLsLsLsLsLsLsLsLsLsLLs
11|11 2 LsLsLsLsLsLsLsLsLsLsLsL
10|12 23 sLLsLsLsLsLsLsLsLsLsLsL
9|13 21 sLsLLsLsLsLsLsLsLsLsLsL
8|14 19 sLsLsLLsLsLsLsLsLsLsLsL
7|15 17 sLsLsLsLLsLsLsLsLsLsLsL
6|16 15 sLsLsLsLsLLsLsLsLsLsLsL
5|17 13 sLsLsLsLsLsLLsLsLsLsLsL
4|18 11 sLsLsLsLsLsLsLLsLsLsLsL
3|19 9 sLsLsLsLsLsLsLsLLsLsLsL
2|20 7 sLsLsLsLsLsLsLsLsLLsLsL
1|21 5 sLsLsLsLsLsLsLsLsLsLLsL
0|22 3 sLsLsLsLsLsLsLsLsLsLsLL

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 12L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
21\23 1095.652 104.348 1:1 1.000 Equalized 12L 11s
116\127 1096.063 103.937 6:5 1.200
95\104 1096.154 103.846 5:4 1.250
169\185 1096.216 103.784 9:7 1.286
74\81 1096.296 103.704 4:3 1.333 Supersoft 12L 11s
201\220 1096.364 103.636 11:8 1.375
127\139 1096.403 103.597 7:5 1.400
180\197 1096.447 103.553 10:7 1.429
53\58 1096.552 103.448 3:2 1.500 Soft 12L 11s
191\209 1096.651 103.349 11:7 1.571
138\151 1096.689 103.311 8:5 1.600
223\244 1096.721 103.279 13:8 1.625
85\93 1096.774 103.226 5:3 1.667 Semisoft 12L 11s
202\221 1096.833 103.167 12:7 1.714
117\128 1096.875 103.125 7:4 1.750
149\163 1096.933 103.067 9:5 1.800
32\35 1097.143 102.857 2:1 2.000 Basic 12L 11s
Scales with tunings softer than this are proper
139\152 1097.368 102.632 9:4 2.250
107\117 1097.436 102.564 7:3 2.333
182\199 1097.487 102.513 12:5 2.400
75\82 1097.561 102.439 5:2 2.500 Semihard 12L 11s
193\211 1097.630 102.370 13:5 2.600
118\129 1097.674 102.326 8:3 2.667
161\176 1097.727 102.273 11:4 2.750
43\47 1097.872 102.128 3:1 3.000 Hard 12L 11s
140\153 1098.039 101.961 10:3 3.333
97\106 1098.113 101.887 7:2 3.500
151\165 1098.182 101.818 11:3 3.667
54\59 1098.305 101.695 4:1 4.000 Superhard 12L 11s
119\130 1098.462 101.538 9:2 4.500
65\71 1098.592 101.408 5:1 5.000
76\83 1098.795 101.205 6:1 6.000
11\12 1100.000 100.000 1:0 → ∞ Collapsed 12L 11s

:

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