22L 5s: Difference between revisions

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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
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→Tuning spectrum: 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="8" | generator
!
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 9\22
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 490.909
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|83\203
| | 9
| | 1
| | 9.000
| | 490.640
| |
|-
| |
| |
| |
| |
| |
| |
| |
|74\181
|
| | 8
| | 1
| | 8.000
| | 490.608
| |
|-
| |
| |
| |
| |
| |
| |
| |65\159
|
|
| | 7
| | 1
| | 7.000
| | 490.566
| |
|-
| |
| |
| |
| |
| |
| | 56\137
| |
|
|
| | 6
| | 1
| | 6.000
| | 490.511
| |
|-
| |
| |
| |
| |
| |
| |
| |103\252
|
|
| | 11
| | 2
| | 5.500
| | 490.476
| |
|-
| |
| |
| |
| |
| | 47\115
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 490.435
| |
|-
| |
| |
| |
| |
| |
| | 85\208
| |
|
|
| | 9
| | 2
| | 4.500
| | 490.385
| |
|-
| |
| |
| |
| | 38\93
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 490.323
| |
|-
| |
| |
| |
| |
| |
| | 105\257
| |
|
|
| | 11
| | 3
| | 3.667
| | 490.272
| |
|-
| |
| |
| |
| |
| | 67\164
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 490.244
| |
|-
| |
| |
| |
| |
| |
| | 96\235
| |
|
|
| | 10
| | 3
| | 3.333
| | 490.213
| |
|-
| |
| |
| | 29\71
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 490.141
| |
|-
| |
| |
| |
| |
| |
| | 107\262
| |
|
|
| | 11
| | 4
| | 2.750
| | 490.076
| |
|-
| |
| |
| |
| |
| | 78\191
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 490.052
| |
|-
| |
| |
| |
| | 49\120
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 490.000
| |
|-
| |
| |
| |
| |
| | 69\169
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 489.941
| |
|-
| |
| |
| |
| |
| |
| | 89\218
| |
|
|
| | 9
| | 4
| | 2.250
| | 489.908
| |
|-
| |
| |
| |
| |
| |
| |
| |109\267
|
|
| | 11
| | 5
| | 2.200
| | 489.888
| |
|-
| |
| | 20\49
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 489.796
| |
|-
| |
| |
| |
| |
| |
| | 91\223
| |
|
|
| | 9
| | 5
| | 1.800
| | 489.686
| |
|-
| |
| |
| |
| |
| | 71\174
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 489.655
| |
|-
| |
| |
| |
| | 51\125
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 489.600
| |
|-
| |
| |
| |
| |
| | 82\201
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 489.552
| |
|-
| |
| |
| | 31\76
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 489.474
| |
|-
| |
| |
| |
| |
| |
| | 104\255
| |
|
|
| | 10
| | 7
| | 1.429
| | 489.412
| |
|-
| |
| |
| |
| |
| | 73\179
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 489.385
| |
|-
| |
| |
| |
| | 42\103
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 489.320
| |
|-
| |
| |
| |
| |
| |
| | 95\233
| |
|
|
| | 9
| | 7
| | 1.286
| | 489.270
| |
|-
| |
| |
| |
| |
| | 53\130
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 489.231
| |
|-
| |
| |
| |
| |
| |
| | 64\157
| |
|
|
| | 6
| | 5
| | 1.200
| | 489.172
| |
|-
| |
| |
| |
| |
| |
| |
| |75\184
|
|
| | 7
| | 6
| | 1.167
| | 489.130
| |
|-
| |
| |
| |
| |
| |
| |
| |
|86\211
|
| | 8
| | 7
| | 1.143
| | 489.100
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|97\238
| | 9
| | 8
| | 1.125
| | 489.076
| |
|-
| | 11\27
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 488.889
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:18, 1 March 2024

↖ 21L 4s ↑ 22L 4s 23L 4s ↗
← 21L 5s 22L 5s 23L 5s →
↙ 21L 6s ↓ 22L 6s 23L 6s ↘
Scale structure
Step pattern LLLLLsLLLLsLLLLLsLLLLsLLLLs
sLLLLsLLLLsLLLLLsLLLLsLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 11\27 to 9\22 (488.9 ¢ to 490.9 ¢)
Dark 13\22 to 16\27 (709.1 ¢ to 711.1 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 4:1 to 5:1
Related MOS scales
Parent 5L 17s
Sister 5L 22s
Daughters 27L 22s, 22L 27s
Neutralized 17L 10s
2-Flought 49L 5s, 22L 32s
Equal tunings
Equalized (L:s = 1:1) 11\27 (488.9 ¢)
Supersoft (L:s = 4:3) 42\103 (489.3 ¢)
Soft (L:s = 3:2) 31\76 (489.5 ¢)
Semisoft (L:s = 5:3) 51\125 (489.6 ¢)
Basic (L:s = 2:1) 20\49 (489.8 ¢)
Semihard (L:s = 5:2) 49\120 (490.0 ¢)
Hard (L:s = 3:1) 29\71 (490.1 ¢)
Superhard (L:s = 4:1) 38\93 (490.3 ¢)
Collapsed (L:s = 1:0) 9\22 (490.9 ¢)
View • Talk • Edit

22L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 22 large steps and 5 small steps, repeating every octave. 22L 5s is related to 5L 2s, expanding it by 20 tones. Generators that produce this scale range from 488.9 ¢ to 490.9 ¢, or from 709.1 ¢ to 711.1 ¢.

Modes

Modes of 22L 5s
UDP Cyclic
order		 Step
pattern
26|0 1 LLLLLsLLLLsLLLLLsLLLLsLLLLs
25|1 12 LLLLLsLLLLsLLLLsLLLLLsLLLLs
24|2 23 LLLLsLLLLLsLLLLsLLLLLsLLLLs
23|3 7 LLLLsLLLLLsLLLLsLLLLsLLLLLs
22|4 18 LLLLsLLLLsLLLLLsLLLLsLLLLLs
21|5 2 LLLLsLLLLsLLLLLsLLLLsLLLLsL
20|6 13 LLLLsLLLLsLLLLsLLLLLsLLLLsL
19|7 24 LLLsLLLLLsLLLLsLLLLLsLLLLsL
18|8 8 LLLsLLLLLsLLLLsLLLLsLLLLLsL
17|9 19 LLLsLLLLsLLLLLsLLLLsLLLLLsL
16|10 3 LLLsLLLLsLLLLLsLLLLsLLLLsLL
15|11 14 LLLsLLLLsLLLLsLLLLLsLLLLsLL
14|12 25 LLsLLLLLsLLLLsLLLLLsLLLLsLL
13|13 9 LLsLLLLLsLLLLsLLLLsLLLLLsLL
12|14 20 LLsLLLLsLLLLLsLLLLsLLLLLsLL
11|15 4 LLsLLLLsLLLLLsLLLLsLLLLsLLL
10|16 15 LLsLLLLsLLLLsLLLLLsLLLLsLLL
9|17 26 LsLLLLLsLLLLsLLLLLsLLLLsLLL
8|18 10 LsLLLLLsLLLLsLLLLsLLLLLsLLL
7|19 21 LsLLLLsLLLLLsLLLLsLLLLLsLLL
6|20 5 LsLLLLsLLLLLsLLLLsLLLLsLLLL
5|21 16 LsLLLLsLLLLsLLLLLsLLLLsLLLL
4|22 27 sLLLLLsLLLLsLLLLLsLLLLsLLLL
3|23 11 sLLLLLsLLLLsLLLLsLLLLLsLLLL
2|24 22 sLLLLsLLLLLsLLLLsLLLLLsLLLL
1|25 6 sLLLLsLLLLLsLLLLsLLLLsLLLLL
0|26 17 sLLLLsLLLLsLLLLLsLLLLsLLLLL

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 22L 5s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
11\27 488.889 711.111 1:1 1.000 Equalized 22L 5s
64\157 489.172 710.828 6:5 1.200
53\130 489.231 710.769 5:4 1.250
95\233 489.270 710.730 9:7 1.286
42\103 489.320 710.680 4:3 1.333 Supersoft 22L 5s
115\282 489.362 710.638 11:8 1.375
73\179 489.385 710.615 7:5 1.400
104\255 489.412 710.588 10:7 1.429
31\76 489.474 710.526 3:2 1.500 Soft 22L 5s
113\277 489.531 710.469 11:7 1.571
82\201 489.552 710.448 8:5 1.600
133\326 489.571 710.429 13:8 1.625
51\125 489.600 710.400 5:3 1.667 Semisoft 22L 5s
122\299 489.632 710.368 12:7 1.714
71\174 489.655 710.345 7:4 1.750
91\223 489.686 710.314 9:5 1.800
20\49 489.796 710.204 2:1 2.000 Basic 22L 5s
Scales with tunings softer than this are proper
89\218 489.908 710.092 9:4 2.250
69\169 489.941 710.059 7:3 2.333
118\289 489.965 710.035 12:5 2.400
49\120 490.000 710.000 5:2 2.500 Semihard 22L 5s
127\311 490.032 709.968 13:5 2.600
78\191 490.052 709.948 8:3 2.667
107\262 490.076 709.924 11:4 2.750
29\71 490.141 709.859 3:1 3.000 Hard 22L 5s
96\235 490.213 709.787 10:3 3.333
67\164 490.244 709.756 7:2 3.500
105\257 490.272 709.728 11:3 3.667
38\93 490.323 709.677 4:1 4.000 Superhard 22L 5s
85\208 490.385 709.615 9:2 4.500
47\115 490.435 709.565 5:1 5.000
56\137 490.511 709.489 6:1 6.000
9\22 490.909 709.091 1:0 → ∞ Collapsed 22L 5s
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