9L 8s: Difference between revisions

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{{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Tuning spectrum ==
{| class="wikitable"
{{Scale tree}}
! colspan="8" | generator
 
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\9
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 133.333
| |
|-
| |
| |
| |
| |
| |
| |
| |
|9\80
| | 8
| | 1
| | 8.000
| | 135.000
| |
|-
| |
| |
| |
| |
| |
| |
| |8\71
|
| | 7
| | 1
| | 7.000
| | 135.211
| | Kryptonite
|-
| |
| |
| |
| |
| |
| |
| |
|15\133
| | 13
| | 2
| | 6.500
| | 135.338
| |
|-
| |
| |
| |
| |
| |
| | 7\62
| |
|
| | 6
| | 1
| | 6.000
| | 135.484
| |
|-
| |
| |
| |
| |
| |
| |
| |13\115
|
| | 11
| | 2
| | 5.500
| | 135.652
| | Doublethink
|-
| |
| |
| |
| |
| | 6\53
| |
| |
|
| | 5
| | 1
| | 5.000
| | 135.849
| |
|-
| |
| |
| |
| |
| |
| | 11\97
| |
|
| | 9
| | 2
| | 4.500
| | 136.082
| |
|-
| |
| |
| |
| | 5\44
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 136.364
| |
|-
| |
| |
| |
| |
| |
| | 14\123
| |
|
| | 11
| | 3
| | 3.667
| | 136.585
| |
|-
| |
| |
| |
| |
| | 9\79
| |
| |
|
| | 7
| | 2
| | 3.500
| | 136.709
| |
|-
| |
| |
| |
| |
| |
| | 13\114
| |
|
| | 10
| | 3
| | 3.333
| | 136.842
| |
|-
| |
| |
| | 4\35
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 137.143
| |
|-
| |
| |
| |
| |
| |
| | 15\131
| |
|
| | 11
| | 4
| | 2.750
| | 137.405
| |
|-
| |
| |
| |
| |
| | 11\96
| |
| |
|
| | 8
| | 3
| | 2.667
| | 137.500
| |
|-
| |
| |
| |
| | 7\61
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 137.705
| |
|-
| |
| |
| |
| |
| | 10\87
| |
| |
|
| | 7
| | 3
| | 2.333
| | 137.931
| | Secund(ly)
|-
| |
| |
| |
| |
| |
| | 13\113
| |
|
| | 9
| | 4
| | 2.250
| | 138.053
| |
|-
| |
| |
| |
| |
| |
| |
| |16\139
|
| | 11
| | 5
| | 2.200
| | 138.129
| |
|-
| |
| | 3\26
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 138.462
| |
|-
| |
| |
| |
| |
| |
| | 14\121
| |
|
| | 9
| | 5
| | 1.800
| | 138.843
| |
|-
| |
| |
| |
| |
| | 11\95
| |
| |
|
| | 7
| | 4
| | 1.750
| | 138.947
| |
|-
| |
| |
| |
| | 8\69
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 139.130
| |
|-
| |
| |
| |
| |
| | 13\112
| |
| |
|
| | 8
| | 5
| | 1.600
| | 139.286
| | Jerome
|-
| |
| |
| | 5\43
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 139.535
| |
|-
| |
| |
| |
| |
| | 12\103
| |
| |
|
| | 7
| | 5
| | 1.400
| | 139.806
| |
|-
| |
| |
| |
| | 7\60
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 140.000
| | Bleu
|-
| |
| |
| |
| |
| |
| | 16\137
| |
|
| | 9
| | 7
| | 1.286
| | 140.146
| |
|-
| |
| |
| |
| |
| | 9\77
| |
| |
|
| | 5
| | 4
| | 1.250
| | 140.260
| | Tsaharuk
|-
| |
| |
| |
| |
| |
| | 11\94
| |
|
| | 6
| | 5
| | 1.200
| | 140.426
| |
|-
| |
| |
| |
| |
| |
| |
| |13\111
|
| | 7
| | 6
| | 1.167
| | 140.541
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\128
| | 8
| | 7
| | 1.143
| | 140.625
| |
|-
| | 2\17
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 141.176
| | Lafayette, Progression
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 20:44, 22 September 2024

↖ 8L 7s ↑ 9L 7s 10L 7s ↗
← 8L 8s 9L 8s 10L 8s →
↙ 8L 9s ↓ 9L 9s 10L 9s ↘
Scale structure
Step pattern LLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 15\17 to 8\9 (1058.8 ¢ to 1066.7 ¢)
Dark 1\9 to 2\17 (133.3 ¢ to 141.2 ¢)
TAMNAMS information
Related to 8L 1s (subneutralic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 8L 1s
Sister 8L 9s
Daughters 17L 9s, 9L 17s
Neutralized 1L 16s
2-Flought 26L 8s, 9L 25s
Equal tunings
Equalized (L:s = 1:1) 15\17 (1058.8 ¢)
Supersoft (L:s = 4:3) 53\60 (1060.0 ¢)
Soft (L:s = 3:2) 38\43 (1060.5 ¢)
Semisoft (L:s = 5:3) 61\69 (1060.9 ¢)
Basic (L:s = 2:1) 23\26 (1061.5 ¢)
Semihard (L:s = 5:2) 54\61 (1062.3 ¢)
Hard (L:s = 3:1) 31\35 (1062.9 ¢)
Superhard (L:s = 4:1) 39\44 (1063.6 ¢)
Collapsed (L:s = 1:0) 8\9 (1066.7 ¢)
View • Talk • Edit

9L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 8 small steps, repeating every octave. 9L 8s is a child scale of 8L 1s, expanding it by 8 tones. Generators that produce this scale range from 1058.8 ¢ to 1066.7 ¢, or from 133.3 ¢ to 141.2 ¢.

Modes

Modes of 9L 8s
UDP Cyclic
order		 Step
pattern
16|0 1 LLsLsLsLsLsLsLsLs
15|1 16 LsLLsLsLsLsLsLsLs
14|2 14 LsLsLLsLsLsLsLsLs
13|3 12 LsLsLsLLsLsLsLsLs
12|4 10 LsLsLsLsLLsLsLsLs
11|5 8 LsLsLsLsLsLLsLsLs
10|6 6 LsLsLsLsLsLsLLsLs
9|7 4 LsLsLsLsLsLsLsLLs
8|8 2 LsLsLsLsLsLsLsLsL
7|9 17 sLLsLsLsLsLsLsLsL
6|10 15 sLsLLsLsLsLsLsLsL
5|11 13 sLsLsLLsLsLsLsLsL
4|12 11 sLsLsLsLLsLsLsLsL
3|13 9 sLsLsLsLsLLsLsLsL
2|14 7 sLsLsLsLsLsLLsLsL
1|15 5 sLsLsLsLsLsLsLLsL
0|16 3 sLsLsLsLsLsLsLsLL

Tuning spectrum

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 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
15\17 1058.824 141.176 1:1 1.000 Equalized 9L 8s
83\94 1059.574 140.426 6:5 1.200
68\77 1059.740 140.260 5:4 1.250
121\137 1059.854 140.146 9:7 1.286
53\60 1060.000 140.000 4:3 1.333 Supersoft 9L 8s
144\163 1060.123 139.877 11:8 1.375
91\103 1060.194 139.806 7:5 1.400
129\146 1060.274 139.726 10:7 1.429
38\43 1060.465 139.535 3:2 1.500 Soft 9L 8s
137\155 1060.645 139.355 11:7 1.571
99\112 1060.714 139.286 8:5 1.600
160\181 1060.773 139.227 13:8 1.625
61\69 1060.870 139.130 5:3 1.667 Semisoft 9L 8s
145\164 1060.976 139.024 12:7 1.714
84\95 1061.053 138.947 7:4 1.750
107\121 1061.157 138.843 9:5 1.800
23\26 1061.538 138.462 2:1 2.000 Basic 9L 8s
Scales with tunings softer than this are proper
100\113 1061.947 138.053 9:4 2.250
77\87 1062.069 137.931 7:3 2.333
131\148 1062.162 137.838 12:5 2.400
54\61 1062.295 137.705 5:2 2.500 Semihard 9L 8s
139\157 1062.420 137.580 13:5 2.600
85\96 1062.500 137.500 8:3 2.667
116\131 1062.595 137.405 11:4 2.750
31\35 1062.857 137.143 3:1 3.000 Hard 9L 8s
101\114 1063.158 136.842 10:3 3.333
70\79 1063.291 136.709 7:2 3.500
109\123 1063.415 136.585 11:3 3.667
39\44 1063.636 136.364 4:1 4.000 Superhard 9L 8s
86\97 1063.918 136.082 9:2 4.500
47\53 1064.151 135.849 5:1 5.000
55\62 1064.516 135.484 6:1 6.000
8\9 1066.667 133.333 1:0 → ∞ Collapsed 9L 8s
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