11L 8s: 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
|-
| | 4\11
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 436.364
| |
|-
| |
| |
| |
| |
| |
| |
| |
|35\96
| | 8
| | 1
| | 8.000
| | 437.500
| |
|-
| |
| |
| |
| |
| |
| |
| |31\85
|
| | 7
| | 1
| | 7.000
| | 437.647
| |
|-
| |
| |
| |
| |
| |
| |
| |
|58\159
| | 13
| | 2
| | 6.500
| | 437.736
| |
|-
| |
| |
| |
| |
| |
| | 27\74
| |
|
| | 6
| | 1
| | 6.000
| | 437.838
| |
|-
| |
| |
| |
| |
| |
| |
| |50\137
|
| | 11
| | 2
| | 5.500
| | 437.956
| |
|-
| |
| |
| |
| |
| | 23\63
| |
| |
|
| | 5
| | 1
| | 5.000
| | 438.095
| |
|-
| |
| |
| |
| |
| |
| | 42\115
| |
|
| | 9
| | 2
| | 4.500
| | 438.261
| |
|-
| |
| |
| |
| |
| |
| |
| |61\167
|
| | 13
| | 3
| | 4.333
| | 438.323
| |
|-
| |
| |
| |
| | 19\52
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 438.462
| |
|-
| |
| |
| |
| |
| |
| | 53\145
| |
|
| | 11
| | 3
| | 3.667
| | 438.621
| |
|-
| |
| |
| |
| |
| | 34\93
| |
| |
|
| | 7
| | 2
| | 3.500
| | 438.710
| |
|-
| |
| |
| |
| |
| |
| | 49\134
| |
|
| | 10
| | 3
| | 3.333
| | 438.806
| |
|-
| |
| |
| | 15\41
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 439.024
| |
|-
| |
| |
| |
| |
| |
| | 56\153
| |
|
| | 11
| | 4
| | 2.750
| | 439.216
| |
|-
| |
| |
| |
| |
| | 41\112
| |
| |
|
| | 8
| | 3
| | 2.667
| | 439.286
| |
|-
| |
| |
| |
| | 26\71
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 439.437
| |
|-
| |
| |
| |
| |
| | 37\101
| |
| |
|
| | 7
| | 3
| | 2.333
| | 439.604
| |
|-
| |
| |
| |
| |
| |
| | 48\131
| |
|
| | 9
| | 4
| | 2.250
| | 439.695
| |
|-
| |
| |
| |
| |
| |
| |
| |59\161
|
| | 11
| | 5
| | 2.200
| | 439.752
| |
|-
| |
| | 11\30
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 440.000
| |
|-
| |
| |
| |
| |
| |
| |
| |62\169
|
| | 11
| | 6
| | 1.833
| | 440.237
| |
|-
| |
| |
| |
| |
| |
| | 51\139
| |
|
| | 9
| | 5
| | 1.800
| | 440.288
| |
|-
| |
| |
| |
| |
| | 40\109
| |
| |
|
| | 7
| | 4
| | 1.750
| | 440.367
| |
|-
| |
| |
| |
| | 29\79
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 440.506
| |
|-
| |
| |
| |
| |
| | 47\128
| |
| |
|
| | 8
| | 5
| | 1.600
| | 440.625
| |
|-
| |
| |
| | 18\49
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 440.816
| |
|-
| |
| |
| |
| |
| |
| | 61\166
| |
|
| | 10
| | 7
| | 1.429
| | 440.964
| |
|-
| |
| |
| |
| |
| | 43\117
| |
| |
|
| | 7
| | 5
| | 1.400
| | 441.026
| |
|-
| |
| |
| |
| | 25\68
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 441.176
| |
|-
| |
| |
| |
| |
| |
| | 57\155
| |
|
| | 9
| | 7
| | 1.286
| | 441.290
| |
|-
| |
| |
| |
| |
| | 32\87
| |
| |
|
| | 5
| | 4
| | 1.250
| | 441.379
| |
|-
| |
| |
| |
| |
| |
| | 39\106
| |
|
| | 6
| | 5
| | 1.200
| | 441.509
| |
|-
| |
| |
| |
| |
| |
| |
| |46\125
|
| | 7
| | 6
| | 1.167
| | 441.600
| |
|-
| |
| |
| |
| |
| |
| |
| |
|53\144
| | 8
| | 7
| | 1.143
| | 441.667
| |
|-
| | 7\19
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 442.105
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:44, 1 March 2024

↖ 10L 7s ↑ 11L 7s 12L 7s ↗
← 10L 8s 11L 8s 12L 8s →
↙ 10L 9s ↓ 11L 9s 12L 9s ↘
Scale structure
Step pattern LLsLsLLsLsLsLLsLsLs
sLsLsLLsLsLsLLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 12\19 to 7\11 (757.9 ¢ to 763.6 ¢)
Dark 4\11 to 7\19 (436.4 ¢ to 442.1 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 8L 3s
Sister 8L 11s
Daughters 19L 11s, 11L 19s
Neutralized 3L 16s
2-Flought 30L 8s, 11L 27s
Equal tunings
Equalized (L:s = 1:1) 12\19 (757.9 ¢)
Supersoft (L:s = 4:3) 43\68 (758.8 ¢)
Soft (L:s = 3:2) 31\49 (759.2 ¢)
Semisoft (L:s = 5:3) 50\79 (759.5 ¢)
Basic (L:s = 2:1) 19\30 (760.0 ¢)
Semihard (L:s = 5:2) 45\71 (760.6 ¢)
Hard (L:s = 3:1) 26\41 (761.0 ¢)
Superhard (L:s = 4:1) 33\52 (761.5 ¢)
Collapsed (L:s = 1:0) 7\11 (763.6 ¢)
View • Talk • Edit

11L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 8 small steps, repeating every octave. 11L 8s is a grandchild scale of 3L 5s, expanding it by 11 tones. Generators that produce this scale range from 757.9 ¢ to 763.6 ¢, or from 436.4 ¢ to 442.1 ¢.

Modes

Modes of 11L 8s
UDP Cyclic
order		 Step
pattern
18|0 1 LLsLsLLsLsLsLLsLsLs
17|1 13 LLsLsLsLLsLsLLsLsLs
16|2 6 LLsLsLsLLsLsLsLLsLs
15|3 18 LsLLsLsLLsLsLsLLsLs
14|4 11 LsLLsLsLsLLsLsLLsLs
13|5 4 LsLLsLsLsLLsLsLsLLs
12|6 16 LsLsLLsLsLLsLsLsLLs
11|7 9 LsLsLLsLsLsLLsLsLLs
10|8 2 LsLsLLsLsLsLLsLsLsL
9|9 14 LsLsLsLLsLsLLsLsLsL
8|10 7 LsLsLsLLsLsLsLLsLsL
7|11 19 sLLsLsLLsLsLsLLsLsL
6|12 12 sLLsLsLsLLsLsLLsLsL
5|13 5 sLLsLsLsLLsLsLsLLsL
4|14 17 sLsLLsLsLLsLsLsLLsL
3|15 10 sLsLLsLsLsLLsLsLLsL
2|16 3 sLsLLsLsLsLLsLsLsLL
1|17 15 sLsLsLLsLsLLsLsLsLL
0|18 8 sLsLsLLsLsLsLLsLsLL

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 11L 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
12\19 757.895 442.105 1:1 1.000 Equalized 11L 8s
67\106 758.491 441.509 6:5 1.200
55\87 758.621 441.379 5:4 1.250
98\155 758.710 441.290 9:7 1.286
43\68 758.824 441.176 4:3 1.333 Supersoft 11L 8s
117\185 758.919 441.081 11:8 1.375
74\117 758.974 441.026 7:5 1.400
105\166 759.036 440.964 10:7 1.429
31\49 759.184 440.816 3:2 1.500 Soft 11L 8s
112\177 759.322 440.678 11:7 1.571
81\128 759.375 440.625 8:5 1.600
131\207 759.420 440.580 13:8 1.625
50\79 759.494 440.506 5:3 1.667 Semisoft 11L 8s
119\188 759.574 440.426 12:7 1.714
69\109 759.633 440.367 7:4 1.750
88\139 759.712 440.288 9:5 1.800
19\30 760.000 440.000 2:1 2.000 Basic 11L 8s
Scales with tunings softer than this are proper
83\131 760.305 439.695 9:4 2.250
64\101 760.396 439.604 7:3 2.333
109\172 760.465 439.535 12:5 2.400
45\71 760.563 439.437 5:2 2.500 Semihard 11L 8s
116\183 760.656 439.344 13:5 2.600
71\112 760.714 439.286 8:3 2.667
97\153 760.784 439.216 11:4 2.750
26\41 760.976 439.024 3:1 3.000 Hard 11L 8s
85\134 761.194 438.806 10:3 3.333
59\93 761.290 438.710 7:2 3.500
92\145 761.379 438.621 11:3 3.667
33\52 761.538 438.462 4:1 4.000 Superhard 11L 8s
73\115 761.739 438.261 9:2 4.500
40\63 761.905 438.095 5:1 5.000
47\74 762.162 437.838 6:1 6.000
7\11 763.636 436.364 1:0 → ∞ Collapsed 11L 8s
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