25L 6s: 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
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Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}{{Stub}}
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 4\25
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 192.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|37\231
| | 9
| | 1
| | 9.000
| | 192.208
| |
|-
| |
| |
| |
| |
| |
| |
| |
|33\206
|
| | 8
| | 1
| | 8.000
| | 192.233
| |
|-
| |
| |
| |
| |
| |
| |
| |29\181
|
|
| | 7
| | 1
| | 7.000
| | 192.265
| |
|-
| |
| |
| |
| |
| |
| | 25\156
| |
|
|
| | 6
| | 1
| | 6.000
| | 192.308
| |
|-
| |
| |
| |
| |
| |
| |
| |46\287
|
|
| | 11
| | 2
| | 5.500
| | 192.334
| |
|-
| |
| |
| |
| |
| | 21\131
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 192.366
| |
|-
| |
| |
| |
| |
| |
| | 38\237
| |
|
|
| | 9
| | 2
| | 4.500
| | 192.405
| |
|-
| |
| |
| |
| | 17\106
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 192.453
| |
|-
| |
| |
| |
| |
| |
| | 47\293
| |
|
|
| | 11
| | 3
| | 3.667
| | 192.491
| |
|-
| |
| |
| |
| |
| | 30\187
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 192.513
| |
|-
| |
| |
| |
| |
| |
| | 43\268
| |
|
|
| | 10
| | 3
| | 3.333
| | 192.537
| |
|-
| |
| |
| | 13\81
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 192.593
| |
|-
| |
| |
| |
| |
| |
| | 48\299
| |
|
|
| | 11
| | 4
| | 2.750
| | 192.642
| |
|-
| |
| |
| |
| |
| | 35\218
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 192.661
| |
|-
| |
| |
| |
| | 22\137
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 192.701
| |
|-
| |
| |
| |
| |
| | 31\193
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 192.746
| |
|-
| |
| |
| |
| |
| |
| | 40\249
| |
|
|
| | 9
| | 4
| | 2.250
| | 192.771
| |
|-
| |
| |
| |
| |
| |
| |
| |49\305
|
|
| | 11
| | 5
| | 2.200
| | 192.787
| |
|-
| |
| | 9\56
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 192.857
| |
|-
| |
| |
| |
| |
| |
| |
| |50\311
|
|
| | 11
| | 6
| | 1.833
| | 192.926
| |
|-
| |
| |
| |
| |
| |
| | 41\255
| |
|
|
| | 9
| | 5
| | 1.800
| | 192.941
| |
|-
| |
| |
| |
| |
| | 32\199
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 192.965
| |
|-
| |
| |
| |
| | 23\143
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 193.007
| |
|-
| |
| |
| |
| |
| | 37\230
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 193.043
| |
|-
| |
| |
| | 14\87
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 193.103
| |
|-
| |
| |
| |
| |
| |
| | 47\292
| |
|
|
| | 10
| | 7
| | 1.429
| | 193.151
| |
|-
| |
| |
| |
| |
| | 33\205
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 193.171
| |
|-
| |
| |
| |
| | 19\118
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 193.220
| |
|-
| |
| |
| |
| |
| |
| | 43\267
| |
|
|
| | 9
| | 7
| | 1.286
| | 193.258
| |
|-
| |
| |
| |
| |
| | 24\149
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 193.289
| |
|-
| |
| |
| |
| |
| |
| | 29\180
| |
|
|
| | 6
| | 5
| | 1.200
| | 193.333
| |
|-
| |
| |
| |
| |
| |
| |
| |34\211
|
|
| | 7
| | 6
| | 1.167
| | 193.365
| |
|-
| |
| |
| |
| |
| |
| |
| |
|39\242
|
| | 8
| | 7
| | 1.143
| | 193.388
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|44\273
| | 9
| | 8
| | 1.125
| | 193.407
| |
|-
| | 5\31
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 193.548
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:19, 1 March 2024

↖ 24L 5s ↑ 25L 5s 26L 5s ↗
← 24L 6s 25L 6s 26L 6s →
↙ 24L 7s ↓ 25L 7s 26L 7s ↘
Scale structure
Step pattern LLLLLsLLLLsLLLLsLLLLsLLLLsLLLLs
sLLLLsLLLLsLLLLsLLLLsLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 26\31 to 21\25 (1006.5 ¢ to 1008.0 ¢)
Dark 4\25 to 5\31 (192.0 ¢ to 193.5 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 4:1 to 5:1
Related MOS scales
Parent 6L 19s
Sister 6L 25s
Daughters 31L 25s, 25L 31s
Neutralized 19L 12s
2-Flought 56L 6s, 25L 37s
Equal tunings
Equalized (L:s = 1:1) 26\31 (1006.5 ¢)
Supersoft (L:s = 4:3) 99\118 (1006.8 ¢)
Soft (L:s = 3:2) 73\87 (1006.9 ¢)
Semisoft (L:s = 5:3) 120\143 (1007.0 ¢)
Basic (L:s = 2:1) 47\56 (1007.1 ¢)
Semihard (L:s = 5:2) 115\137 (1007.3 ¢)
Hard (L:s = 3:1) 68\81 (1007.4 ¢)
Superhard (L:s = 4:1) 89\106 (1007.5 ¢)
Collapsed (L:s = 1:0) 21\25 (1008.0 ¢)
View • Talk • Edit

25L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 25 large steps and 6 small steps, repeating every octave. 25L 6s is related to 6L 1s, expanding it by 24 tones. Generators that produce this scale range from 1006.5 ¢ to 1008 ¢, or from 192 ¢ to 193.5 ¢.

Modes

Modes of 25L 6s
UDP Cyclic
order		 Step
pattern
30|0 1 LLLLLsLLLLsLLLLsLLLLsLLLLsLLLLs
29|1 27 LLLLsLLLLLsLLLLsLLLLsLLLLsLLLLs
28|2 22 LLLLsLLLLsLLLLLsLLLLsLLLLsLLLLs
27|3 17 LLLLsLLLLsLLLLsLLLLLsLLLLsLLLLs
26|4 12 LLLLsLLLLsLLLLsLLLLsLLLLLsLLLLs
25|5 7 LLLLsLLLLsLLLLsLLLLsLLLLsLLLLLs
24|6 2 LLLLsLLLLsLLLLsLLLLsLLLLsLLLLsL
23|7 28 LLLsLLLLLsLLLLsLLLLsLLLLsLLLLsL
22|8 23 LLLsLLLLsLLLLLsLLLLsLLLLsLLLLsL
21|9 18 LLLsLLLLsLLLLsLLLLLsLLLLsLLLLsL
20|10 13 LLLsLLLLsLLLLsLLLLsLLLLLsLLLLsL
19|11 8 LLLsLLLLsLLLLsLLLLsLLLLsLLLLLsL
18|12 3 LLLsLLLLsLLLLsLLLLsLLLLsLLLLsLL
17|13 29 LLsLLLLLsLLLLsLLLLsLLLLsLLLLsLL
16|14 24 LLsLLLLsLLLLLsLLLLsLLLLsLLLLsLL
15|15 19 LLsLLLLsLLLLsLLLLLsLLLLsLLLLsLL
14|16 14 LLsLLLLsLLLLsLLLLsLLLLLsLLLLsLL
13|17 9 LLsLLLLsLLLLsLLLLsLLLLsLLLLLsLL
12|18 4 LLsLLLLsLLLLsLLLLsLLLLsLLLLsLLL
11|19 30 LsLLLLLsLLLLsLLLLsLLLLsLLLLsLLL
10|20 25 LsLLLLsLLLLLsLLLLsLLLLsLLLLsLLL
9|21 20 LsLLLLsLLLLsLLLLLsLLLLsLLLLsLLL
8|22 15 LsLLLLsLLLLsLLLLsLLLLLsLLLLsLLL
7|23 10 LsLLLLsLLLLsLLLLsLLLLsLLLLLsLLL
6|24 5 LsLLLLsLLLLsLLLLsLLLLsLLLLsLLLL
5|25 31 sLLLLLsLLLLsLLLLsLLLLsLLLLsLLLL
4|26 26 sLLLLsLLLLLsLLLLsLLLLsLLLLsLLLL
3|27 21 sLLLLsLLLLsLLLLLsLLLLsLLLLsLLLL
2|28 16 sLLLLsLLLLsLLLLsLLLLLsLLLLsLLLL
1|29 11 sLLLLsLLLLsLLLLsLLLLsLLLLLsLLLL
0|30 6 sLLLLsLLLLsLLLLsLLLLsLLLLsLLLLL

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 25L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
26\31 1006.452 193.548 1:1 1.000 Equalized 25L 6s
151\180 1006.667 193.333 6:5 1.200
125\149 1006.711 193.289 5:4 1.250
224\267 1006.742 193.258 9:7 1.286
99\118 1006.780 193.220 4:3 1.333 Supersoft 25L 6s
271\323 1006.811 193.189 11:8 1.375
172\205 1006.829 193.171 7:5 1.400
245\292 1006.849 193.151 10:7 1.429
73\87 1006.897 193.103 3:2 1.500 Soft 25L 6s
266\317 1006.940 193.060 11:7 1.571
193\230 1006.957 193.043 8:5 1.600
313\373 1006.971 193.029 13:8 1.625
120\143 1006.993 193.007 5:3 1.667 Semisoft 25L 6s
287\342 1007.018 192.982 12:7 1.714
167\199 1007.035 192.965 7:4 1.750
214\255 1007.059 192.941 9:5 1.800
47\56 1007.143 192.857 2:1 2.000 Basic 25L 6s
Scales with tunings softer than this are proper
209\249 1007.229 192.771 9:4 2.250
162\193 1007.254 192.746 7:3 2.333
277\330 1007.273 192.727 12:5 2.400
115\137 1007.299 192.701 5:2 2.500 Semihard 25L 6s
298\355 1007.324 192.676 13:5 2.600
183\218 1007.339 192.661 8:3 2.667
251\299 1007.358 192.642 11:4 2.750
68\81 1007.407 192.593 3:1 3.000 Hard 25L 6s
225\268 1007.463 192.537 10:3 3.333
157\187 1007.487 192.513 7:2 3.500
246\293 1007.509 192.491 11:3 3.667
89\106 1007.547 192.453 4:1 4.000 Superhard 25L 6s
199\237 1007.595 192.405 9:2 4.500
110\131 1007.634 192.366 5:1 5.000
131\156 1007.692 192.308 6:1 6.000
21\25 1008.000 192.000 1:0 → ∞ Collapsed 25L 6s
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