6L 25s: 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\6
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 200.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|12\73
| | 8
| | 1
| | 8.000
| | 197.260
| |
|-
| |
| |
| |
| |
| |
| |
| |11\67
|
| | 7
| | 1
| | 7.000
| | 197.015
| |
|-
| |
| |
| |
| |
| |
| |
| |
|21\128
| | 13
| | 2
| | 6.500
| | 196.875
| |
|-
| |
| |
| |
| |
| |
| | 10\61
| |
|
| | 6
| | 1
| | 6.000
| | 196.721
| |
|-
| |
| |
| |
| |
| |
| |
| |
|29\177
| | 17
| | 3
| | 5.667
| | 196.610
| |
|-
| |
| |
| |
| |
| |
| |
| |19\116
|
| | 11
| | 2
| | 5.500
| | 196.552
| |
|-
| |
| |
| |
| |
| |
| |
| |
|28\171
| | 16
| | 3
| | 5.333
| | 196.491
| |
|-
| |
| |
| |
| |
| | 9\55
| |
| |
|
| | 5
| | 1
| | 5.000
| | 196.364
| |
|-
| |
| |
| |
| |
| |
| |
| |26\159
|
| | 14
| | 3
| | 4.667
| | 196.226
| |
|-
| |
| |
| |
| |
| |
| | 17\104
| |
|
| | 9
| | 2
| | 4.500
| | 196.154
| |
|-
| |
| |
| |
| |
| |
| |
| |25\153
|
| | 13
| | 3
| | 4.333
| | 196.078
| |
|-
| |
| |
| |
| | 8\49
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 195.918
| |
|-
| |
| |
| |
| |
| |
| |
| |31\190
|
| | 15
| | 4
| | 3.750
| | 195.789
| |
|-
| |
| |
| |
| |
| |
| | 23\141
| |
|
| | 11
| | 3
| | 3.667
| | 195.745
| |
|-
| |
| |
| |
| |
| | 15\92
| |
| |
|
| | 7
| | 2
| | 3.500
| | 195.652
| |
|-
| |
| |
| |
| |
| |
| | 22\135
| |
|
| | 10
| | 3
| | 3.333
| | 195.556
| |
|-
| |
| |
| |
| |
| |
| |
| |29\178
|
| | 13
| | 4
| | 3.250
| | 195.506
| |
|-
| |
| |
| | 7\43
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 195.349
| |
|-
| |
| |
| |
| |
| |
| | 27\166
| |
|
| | 11
| | 4
| | 2.750
| | 195.181
| |
|-
| |
| |
| |
| |
| | 20\123
| |
| |
|
| | 8
| | 3
| | 2.667
| | 195.122
| |
|-
| |
| |
| |
| | 13\80
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 195.000
| |
|-
| |
| |
| |
| |
| |
| | 32\197
| |
|
| | 12
| | 5
| | 2.400
| | 194.924
| |
|-
| |
| |
| |
| |
| | 19\117
| |
| |
|
| | 7
| | 3
| | 2.333
| | 194.872
| |
|-
| |
| |
| |
| |
| |
| | 25\154
| |
|
| | 9
| | 4
| | 2.250
| | 194.805
| |
|-
| |
| |
| |
| |
| |
| |
| |31\191
|
| | 11
| | 5
| | 2.200
| | 194.764
| |
|-
| |
| | 6\37
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 194.595
| |
|-
| |
| |
| |
| |
| |
| | 29\179
| |
|
| | 9
| | 5
| | 1.800
| | 194.413
| |
|-
| |
| |
| |
| |
| | 23\142
| |
| |
|
| | 7
| | 4
| | 1.750
| | 194.366
| |
|-
| |
| |
| |
| | 17\105
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 194.286
| |
|-
| |
| |
| |
| |
| | 28\173
| |
| |
|
| | 8
| | 5
| | 1.600
| | 194.220
| |
|-
| |
| |
| | 11\68
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 194.118
| |
|-
| |
| |
| |
| |
| | 27\167
| |
| |
|
| | 7
| | 5
| | 1.400
| | 194.012
| |
|-
| |
| |
| |
| | 16\99
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 193.939
| |
|-
| |
| |
| |
| |
| | 21\130
| |
| |
|
| | 5
| | 4
| | 1.250
| | 193.846
| |
|-
| |
| |
| |
| |
| |
| | 26\161
| |
|
| | 6
| | 5
| | 1.200
| | 193.789
| |
|-
| |
| |
| |
| |
| |
| |
| |31\192
|
| | 7
| | 6
| | 1.167
| | 193.750
| |
|-
|
|
|
|
|
|
|
|36\223
|8
|7
|1.143
|193.722
|
|-
| | 5\31
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 193.548
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:51, 1 March 2024

↖ 5L 24s ↑ 6L 24s 7L 24s ↗
← 5L 25s 6L 25s 7L 25s →
↙ 5L 26s ↓ 6L 26s 7L 26s ↘
Scale structure
Step pattern LssssLssssLssssLssssLssssLsssss
sssssLssssLssssLssssLssssLssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\31 to 1\6 (193.5 ¢ to 200.0 ¢)
Dark 5\6 to 26\31 (1000.0 ¢ to 1006.5 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 5:1 to 1:0
Related MOS scales
Parent 6L 19s
Sister 25L 6s
Daughters 31L 6s, 6L 31s
Neutralized 12L 19s
2-Flought 37L 25s, 6L 56s
Equal tunings
Equalized (L:s = 1:1) 5\31 (193.5 ¢)
Supersoft (L:s = 4:3) 16\99 (193.9 ¢)
Soft (L:s = 3:2) 11\68 (194.1 ¢)
Semisoft (L:s = 5:3) 17\105 (194.3 ¢)
Basic (L:s = 2:1) 6\37 (194.6 ¢)
Semihard (L:s = 5:2) 13\80 (195.0 ¢)
Hard (L:s = 3:1) 7\43 (195.3 ¢)
Superhard (L:s = 4:1) 8\49 (195.9 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)
View • Talk • Edit

6L 25s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 25 small steps, repeating every octave. 6L 25s is related to 6L 1s, expanding it by 24 tones. Generators that produce this scale range from 193.5 ¢ to 200 ¢, or from 1000 ¢ to 1006.5 ¢.

Modes

Modes of 6L 25s
UDP Cyclic
order		 Step
pattern
30|0 1 LssssLssssLssssLssssLssssLsssss
29|1 6 LssssLssssLssssLssssLsssssLssss
28|2 11 LssssLssssLssssLsssssLssssLssss
27|3 16 LssssLssssLsssssLssssLssssLssss
26|4 21 LssssLsssssLssssLssssLssssLssss
25|5 26 LsssssLssssLssssLssssLssssLssss
24|6 31 sLssssLssssLssssLssssLssssLssss
23|7 5 sLssssLssssLssssLssssLsssssLsss
22|8 10 sLssssLssssLssssLsssssLssssLsss
21|9 15 sLssssLssssLsssssLssssLssssLsss
20|10 20 sLssssLsssssLssssLssssLssssLsss
19|11 25 sLsssssLssssLssssLssssLssssLsss
18|12 30 ssLssssLssssLssssLssssLssssLsss
17|13 4 ssLssssLssssLssssLssssLsssssLss
16|14 9 ssLssssLssssLssssLsssssLssssLss
15|15 14 ssLssssLssssLsssssLssssLssssLss
14|16 19 ssLssssLsssssLssssLssssLssssLss
13|17 24 ssLsssssLssssLssssLssssLssssLss
12|18 29 sssLssssLssssLssssLssssLssssLss
11|19 3 sssLssssLssssLssssLssssLsssssLs
10|20 8 sssLssssLssssLssssLsssssLssssLs
9|21 13 sssLssssLssssLsssssLssssLssssLs
8|22 18 sssLssssLsssssLssssLssssLssssLs
7|23 23 sssLsssssLssssLssssLssssLssssLs
6|24 28 ssssLssssLssssLssssLssssLssssLs
5|25 2 ssssLssssLssssLssssLssssLsssssL
4|26 7 ssssLssssLssssLssssLsssssLssssL
3|27 12 ssssLssssLssssLsssssLssssLssssL
2|28 17 ssssLssssLsssssLssssLssssLssssL
1|29 22 ssssLsssssLssssLssssLssssLssssL
0|30 27 sssssLssssLssssLssssLssssLssssL

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 6L 25s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
5\31 193.548 1006.452 1:1 1.000 Equalized 6L 25s
26\161 193.789 1006.211 6:5 1.200
21\130 193.846 1006.154 5:4 1.250
37\229 193.886 1006.114 9:7 1.286
16\99 193.939 1006.061 4:3 1.333 Supersoft 6L 25s
43\266 193.985 1006.015 11:8 1.375
27\167 194.012 1005.988 7:5 1.400
38\235 194.043 1005.957 10:7 1.429
11\68 194.118 1005.882 3:2 1.500 Soft 6L 25s
39\241 194.191 1005.809 11:7 1.571
28\173 194.220 1005.780 8:5 1.600
45\278 194.245 1005.755 13:8 1.625
17\105 194.286 1005.714 5:3 1.667 Semisoft 6L 25s
40\247 194.332 1005.668 12:7 1.714
23\142 194.366 1005.634 7:4 1.750
29\179 194.413 1005.587 9:5 1.800
6\37 194.595 1005.405 2:1 2.000 Basic 6L 25s
Scales with tunings softer than this are proper
25\154 194.805 1005.195 9:4 2.250
19\117 194.872 1005.128 7:3 2.333
32\197 194.924 1005.076 12:5 2.400
13\80 195.000 1005.000 5:2 2.500 Semihard 6L 25s
33\203 195.074 1004.926 13:5 2.600
20\123 195.122 1004.878 8:3 2.667
27\166 195.181 1004.819 11:4 2.750
7\43 195.349 1004.651 3:1 3.000 Hard 6L 25s
22\135 195.556 1004.444 10:3 3.333
15\92 195.652 1004.348 7:2 3.500
23\141 195.745 1004.255 11:3 3.667
8\49 195.918 1004.082 4:1 4.000 Superhard 6L 25s
17\104 196.154 1003.846 9:2 4.500
9\55 196.364 1003.636 5:1 5.000
10\61 196.721 1003.279 6:1 6.000
1\6 200.000 1000.000 1:0 → ∞ Collapsed 6L 25s
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