6L 9s: Difference between revisions

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m Replaced content with "{{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum == {{Scale tree}}"
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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\6
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 200.000
| |
|-
|
|
|
|
|
|
|
|9\57
|8
|1
|8.000
|189.474
|
|-
| |
| |
| |
| |
| |
| |
| | 8\51
| |
| | 7
| | 1
| | 7.000
| | 188.235
| |
|-
| |
| |
| |
| |
| |
| | 7\45
| |
| |
| | 6
| | 1
| | 6.000
| | 186.667
| |
|-
| |
| |
| |
| |
| |
| |
| | 13\84
| |
| | 11
| | 2
| | 5.500
| | 185.714
| |
|-
| |
| |
| |
| |
| | 6\39
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 184.615
| |
|-
| |
| |
| |
| |
| |
| | 11\72
| |
| |
| | 9
| | 2
| | 4.500
| | 183.333
| | Mirkat is around here
|-
| |
| |
| |
| | 5\33
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 181.818
| | Terrain is around here
|-
| |
| |
| |
| |
| |
| | 14\93
| |
| |
| | 11
| | 3
| | 3.667
| | 180.645
| |
|-
| |
| |
| |
| |
| | 9\60
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 180.000
| |
|-
| |
| |
| |
| |
| |
| | 13\87
| |
| |
| | 10
| | 3
| | 3.333
| | 179.310
| |
|-
| |
| |
| | 4\27
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 177.778
| |
|-
| |
| |
| |
| |
| | 11\75
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 176.000
| |
|-
| |
| |
| |
| | 7\48
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 175.000
| |
|-
| |
| |
| |
| |
| | 10\69
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 173.913
| | Oodako is around here
|-
| |
| |
| |
| |
| |
| | 13\90
| |
| |
| | 9
| | 4
| | 2.250
| | 173.333
| |
|-
| |
| | 3\21
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 171.429
| |
|-
| |
| |
| |
| |
| |
| | 14\99
| |
| |
| | 9
| | 5
| | 1.800
| | 169.697
| |
|-
| |
| |
| |
| |
| | 11\78
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 169.231
| |
|-
| |
| |
| |
| | 8\57
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 168.421
| |  Ternary is around here
|-
| |
| |
| |
| |
| | 13\93
| |
| |
| |
| | 8
| | 5
| | 1.600
| | 167.742
| |
|-
| |
| |
| | 5\36
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 166.667
| |
|-
| |
| |
| |
| |
| | 12\87
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 165.517
| |
|-
| |
| |
| |
| | 7\51
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 164.706
| |
|-
| |
| |
| |
| |
| | 9\66
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 163.636
| |
|-
| |
| |
| |
| |
| |
| | 11\81
| |
| |
| | 6
| | 5
| | 1.200
| | 162.963
| |
|-
| |
| |
| |
| |
| |
| |
| | 13\96
| |
| | 7
| | 6
| | 1.167
| | 162.500
| |
|-
|
|
|
|
|
|
|
|15\111
|8
|7
|1.143
|162.162
|
|-
| | 2\15
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 160.000
| |
|}

Revision as of 20:42, 22 September 2024

↖ 5L 8s ↑ 6L 8s 7L 8s ↗
← 5L 9s 6L 9s 7L 9s →
↙ 5L 10s ↓ 6L 10s 7L 10s ↘
Scale structure
Step pattern LsLssLsLssLsLss
ssLsLssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 2\15 to 1\6 (160.0 ¢ to 200.0 ¢)
Dark 1\6 to 3\15 (200.0 ¢ to 240.0 ¢)
TAMNAMS information
Related to 6L 3s (hyrulic)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 6L 3s
Sister 9L 6s
Daughters 15L 6s, 6L 15s
Neutralized 12L 3s
2-Flought 21L 9s, 6L 24s
Equal tunings
Equalized (L:s = 1:1) 2\15 (160.0 ¢)
Supersoft (L:s = 4:3) 7\51 (164.7 ¢)
Soft (L:s = 3:2) 5\36 (166.7 ¢)
Semisoft (L:s = 5:3) 8\57 (168.4 ¢)
Basic (L:s = 2:1) 3\21 (171.4 ¢)
Semihard (L:s = 5:2) 7\48 (175.0 ¢)
Hard (L:s = 3:1) 4\27 (177.8 ¢)
Superhard (L:s = 4:1) 5\33 (181.8 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)
View • Talk • Edit

6L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 9 small steps, with a period of 2 large steps and 3 small steps that repeats every 400.0 ¢, or 3 times every octave. 6L 9s is a child scale of 6L 3s, expanding it by 6 tones. Generators that produce this scale range from 160 ¢ to 200 ¢, or from 200 ¢ to 240 ¢.

Modes

Modes of 6L 9s
UDP Cyclic
order		 Step
pattern
12|0(3) 1 LsLssLsLssLsLss
9|3(3) 3 LssLsLssLsLssLs
6|6(3) 5 sLsLssLsLssLsLs
3|9(3) 2 sLssLsLssLsLssL
0|12(3) 4 ssLsLssLsLssLsL

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 6L 9s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\15 160.000 240.000 1:1 1.000 Equalized 6L 9s
11\81 162.963 237.037 6:5 1.200
9\66 163.636 236.364 5:4 1.250
16\117 164.103 235.897 9:7 1.286
7\51 164.706 235.294 4:3 1.333 Supersoft 6L 9s
19\138 165.217 234.783 11:8 1.375
12\87 165.517 234.483 7:5 1.400
17\123 165.854 234.146 10:7 1.429
5\36 166.667 233.333 3:2 1.500 Soft 6L 9s
18\129 167.442 232.558 11:7 1.571
13\93 167.742 232.258 8:5 1.600
21\150 168.000 232.000 13:8 1.625
8\57 168.421 231.579 5:3 1.667 Semisoft 6L 9s
19\135 168.889 231.111 12:7 1.714
11\78 169.231 230.769 7:4 1.750
14\99 169.697 230.303 9:5 1.800
3\21 171.429 228.571 2:1 2.000 Basic 6L 9s
Scales with tunings softer than this are proper
13\90 173.333 226.667 9:4 2.250
10\69 173.913 226.087 7:3 2.333
17\117 174.359 225.641 12:5 2.400
7\48 175.000 225.000 5:2 2.500 Semihard 6L 9s
18\123 175.610 224.390 13:5 2.600
11\75 176.000 224.000 8:3 2.667
15\102 176.471 223.529 11:4 2.750
4\27 177.778 222.222 3:1 3.000 Hard 6L 9s
13\87 179.310 220.690 10:3 3.333
9\60 180.000 220.000 7:2 3.500
14\93 180.645 219.355 11:3 3.667
5\33 181.818 218.182 4:1 4.000 Superhard 6L 9s
11\72 183.333 216.667 9:2 4.500
6\39 184.615 215.385 5:1 5.000
7\45 186.667 213.333 6:1 6.000
1\6 200.000 200.000 1:0 → ∞ Collapsed 6L 9s
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