9L 10s: 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
|-
| | 1\9
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 133.333
| |
|-
| |
| |
| |
| |
| |
| |
| |
|9\82
| | 8
| | 1
| | 8.000
| | 131.707
| |
|-
| |
| |
| |
| |
| |
| |
| |8\73
|
| | 7
| | 1
| | 7.000
| | 131.507
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\137
| | 13
| | 2
| | 6.500
| | 131.387
| |
|-
| |
| |
| |
| |
| |
| | 7\64
| |
|
| | 6
| | 1
| | 6.000
| | 131.250
| |
|-
| |
| |
| |
| |
| |
| |
| |13\119
|
| | 11
| | 2
| | 5.500
| | 131.092
| |
|-
| |
| |
| |
| |
| | 6\55
| |
| |
|
| | 5
| | 1
| | 5.000
| | 130.909
| |
|-
| |
| |
| |
| |
| |
| | 11\101
| |
|
| | 9
| | 2
| | 4.500
| | 130.693
| |
|-
| |
| |
| |
| |
| |
| |
| |16\147
|
| | 13
| | 3
| | 4.333
| | 130.612
| |
|-
| |
| |
| |
| | 5\46
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 130.435
| |
|-
| |
| |
| |
| |
| |
| | 14\129
| |
|
| | 11
| | 3
| | 3.667
| | 130.233
| |
|-
| |
| |
| |
| |
| | 9\83
| |
| |
|
| | 7
| | 2
| | 3.500
| | 130.120
| |
|-
| |
| |
| |
| |
| |
| | 13\120
| |
|
| | 10
| | 3
| | 3.333
| | 130.000
| |
|-
| |
| |
| | 4\37
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 129.730
| |
|-
| |
| |
| |
| |
| |
| | 15\139
| |
|
| | 11
| | 4
| | 2.750
| | 129.496
| |
|-
| |
| |
| |
| |
| | 11\102
| |
| |
|
| | 8
| | 3
| | 2.667
| | 129.412
| |
|-
| |
| |
| |
| | 7\65
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 129.231
| |
|-
| |
| |
| |
| |
| | 10\93
| |
| |
|
| | 7
| | 3
| | 2.333
| | 129.032
| |
|-
| |
| |
| |
| |
| |
| | 13\121
| |
|
| | 9
| | 4
| | 2.250
| | 128.926
| |
|-
| |
| |
| |
| |
| |
| |
| |16\149
|
| | 11
| | 5
| | 2.200
| | 128.859
| |
|-
| |
| | 3\28
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 128.571
| |
|-
| |
| |
| |
| |
| |
| | 14\131
| |
|
| | 9
| | 5
| | 1.800
| | 128.244
| |
|-
| |
| |
| |
| |
| | 11\103
| |
| |
|
| | 7
| | 4
| | 1.750
| | 128.155
| |
|-
| |
| |
| |
| | 8\75
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 128.000
| |
|-
| |
| |
| |
| |
| | 13\122
| |
| |
|
| | 8
| | 5
| | 1.600
| | 127.869
| |
|-
| |
| |
| | 5\47
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 127.660
| |
|-
| |
| |
| |
| |
| | 12\113
| |
| |
|
| | 7
| | 5
| | 1.400
| | 127.434
| |
|-
| |
| |
| |
| | 7\66
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 127.273
| |
|-
| |
| |
| |
| |
| | 9\85
| |
| |
|
| | 5
| | 4
| | 1.250
| | 127.059
| |
|-
| |
| |
| |
| |
| |
| | 11\104
| |
|
| | 6
| | 5
| | 1.200
| | 126.923
| |
|-
| |
| |
| |
| |
| |
| |
| |13\123
|
| | 7
| | 6
| | 1.167
| | 126.829
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\142
| | 8
| | 7
| | 1.143
| | 126.761
| |
|-
| | 2\19
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 126.316
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:47, 1 March 2024

↖ 8L 9s ↑ 9L 9s 10L 9s ↗
← 8L 10s 9L 10s 10L 10s →
↙ 8L 11s ↓ 9L 11s 10L 11s ↘
Scale structure
Step pattern LsLsLsLsLsLsLsLsLss
ssLsLsLsLsLsLsLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 2\19 to 1\9 (126.3 ¢ to 133.3 ¢)
Dark 8\9 to 17\19 (1066.7 ¢ to 1073.7 ¢)
TAMNAMS information
Related to 9L 1s (sinatonic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 9L 1s
Sister 10L 9s
Daughters 19L 9s, 9L 19s
Neutralized 18L 1s
2-Flought 28L 10s, 9L 29s
Equal tunings
Equalized (L:s = 1:1) 2\19 (126.3 ¢)
Supersoft (L:s = 4:3) 7\66 (127.3 ¢)
Soft (L:s = 3:2) 5\47 (127.7 ¢)
Semisoft (L:s = 5:3) 8\75 (128.0 ¢)
Basic (L:s = 2:1) 3\28 (128.6 ¢)
Semihard (L:s = 5:2) 7\65 (129.2 ¢)
Hard (L:s = 3:1) 4\37 (129.7 ¢)
Superhard (L:s = 4:1) 5\46 (130.4 ¢)
Collapsed (L:s = 1:0) 1\9 (133.3 ¢)
View • Talk • Edit

9L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 10 small steps, repeating every octave. 9L 10s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 126.3 ¢ to 133.3 ¢, or from 1066.7 ¢ to 1073.7 ¢.

Modes

Modes of 9L 10s
UDP Cyclic
order		 Step
pattern
18|0 1 LsLsLsLsLsLsLsLsLss
17|1 3 LsLsLsLsLsLsLsLssLs
16|2 5 LsLsLsLsLsLsLssLsLs
15|3 7 LsLsLsLsLsLssLsLsLs
14|4 9 LsLsLsLsLssLsLsLsLs
13|5 11 LsLsLsLssLsLsLsLsLs
12|6 13 LsLsLssLsLsLsLsLsLs
11|7 15 LsLssLsLsLsLsLsLsLs
10|8 17 LssLsLsLsLsLsLsLsLs
9|9 19 sLsLsLsLsLsLsLsLsLs
8|10 2 sLsLsLsLsLsLsLsLssL
7|11 4 sLsLsLsLsLsLsLssLsL
6|12 6 sLsLsLsLsLsLssLsLsL
5|13 8 sLsLsLsLsLssLsLsLsL
4|14 10 sLsLsLsLssLsLsLsLsL
3|15 12 sLsLsLssLsLsLsLsLsL
2|16 14 sLsLssLsLsLsLsLsLsL
1|17 16 sLssLsLsLsLsLsLsLsL
0|18 18 ssLsLsLsLsLsLsLsLsL

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 10s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\19 126.316 1073.684 1:1 1.000 Equalized 9L 10s
11\104 126.923 1073.077 6:5 1.200
9\85 127.059 1072.941 5:4 1.250
16\151 127.152 1072.848 9:7 1.286
7\66 127.273 1072.727 4:3 1.333 Supersoft 9L 10s
19\179 127.374 1072.626 11:8 1.375
12\113 127.434 1072.566 7:5 1.400
17\160 127.500 1072.500 10:7 1.429
5\47 127.660 1072.340 3:2 1.500 Soft 9L 10s
18\169 127.811 1072.189 11:7 1.571
13\122 127.869 1072.131 8:5 1.600
21\197 127.919 1072.081 13:8 1.625
8\75 128.000 1072.000 5:3 1.667 Semisoft 9L 10s
19\178 128.090 1071.910 12:7 1.714
11\103 128.155 1071.845 7:4 1.750
14\131 128.244 1071.756 9:5 1.800
3\28 128.571 1071.429 2:1 2.000 Basic 9L 10s
Scales with tunings softer than this are proper
13\121 128.926 1071.074 9:4 2.250
10\93 129.032 1070.968 7:3 2.333
17\158 129.114 1070.886 12:5 2.400
7\65 129.231 1070.769 5:2 2.500 Semihard 9L 10s
18\167 129.341 1070.659 13:5 2.600
11\102 129.412 1070.588 8:3 2.667
15\139 129.496 1070.504 11:4 2.750
4\37 129.730 1070.270 3:1 3.000 Hard 9L 10s
13\120 130.000 1070.000 10:3 3.333
9\83 130.120 1069.880 7:2 3.500
14\129 130.233 1069.767 11:3 3.667
5\46 130.435 1069.565 4:1 4.000 Superhard 9L 10s
11\101 130.693 1069.307 9:2 4.500
6\55 130.909 1069.091 5:1 5.000
7\64 131.250 1068.750 6:1 6.000
1\9 133.333 1066.667 1:0 → ∞ Collapsed 9L 10s
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