15L 4s: Difference between revisions

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== Scale tree ==
== Scale tree ==
{| class="wikitable"
{| class="wikitable"
! colspan="9" | generator
! colspan="6" |Generator
! | L
!Bright gen.
! | s
!Dark gen.
! | L/s
!L
! | gen (cents)
!s
! | comment
!L/s
!Comments
|-
|-
| | 4\15
|5\19
| |
| |
| |
| |
| |
| |
|
|
|
|
| | 1
|
| | 0
|
| |
|
| | 320.000
|315.789
| |
|884.211
|1
|1
|1.000
|Equalized 15L 4s (Degenerate case)
|-
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|37\139
|
| | 9
|
| | 1
|
| | 9.000
|
| | 319.424
|29\110
| |
|316.364
|883.636
|6
|5
|1.200
|
|-
|-
| |
| |
| |
| |
| |
| |
| |
|33\124
|
|
| | 8
|
| | 1
|
| | 8.000
|
| | 319.355
|24\91
| |
|
|316.484
|883.516
|5
|4
|1.250
|
|-
|-
| |
| |
| |
| |
| |
| |
| |29\109
|
|
|
|
| | 7
|
| | 1
|
| | 7.000
|
| | 319.266
|43\163
| |
|316.564
|883.436
|9
|7
|1.286
|
|-
|-
| |
| |
| |
| |
| |
| | 25\94
| |
|
|
|
|
| | 6
|
| | 1
|19\72
| | 6.000
|
| | 319.149
|
| |
|316.667
|883.333
|4
|3
|1.333
|Supersoft 15L 4s
|-
|-
| |
| |
| |
| |
| |
| |
| |46\173
|
|
|
|
| | 11
|
| | 2
|
| | 5.500
|
| | 319.075
|52\197
| |
|316.751
|883.249
|11
|8
|1.375
|
|-
|-
| |
| |
| |
| |
| | 21\79
| |
| |
|
|
|
|
| | 5
|
| | 1
|
| | 5.000
|33\125
| | 318.987
|
| |
|316.800
|883.200
|7
|5
|1.400
|
|-
|-
| |
| |
| |
| |
| |
| | 38\143
| |
|
|
|
|
| | 9
|
| | 2
|
| | 4.500
|
| | 318.881
|47\178
| |
|316.854
|883.146
|10
|7
|1.429
|
|-
|-
| |
| |
| |
| | 17\64
| |
| |
| |
|
|
|
|
| | 4
|14\53
| | 1
|
| | 4.000
|
| | 318.750
|
| |
|316.981
|883.019
|3
|2
|1.500
|Monosoft 15L 4s
|-
|-
| |
| |
| |
| |
| |
| | 47\177
| |
|
|
|
|
| | 11
|
| | 3
|
| | 3.667
|
| | 318.644
|51\193
| |
|317.098
|882.902
|11
|7
|1.571
|
|-
|-
| |
| |
| |
| |
| | 30\113
| |
| |
|
|
|
|
| | 7
|
| | 2
|
| | 3.500
|37\140
| | 318.584
|
| |
|317.143
|882.857
|8
|5
|1.600
|
|-
|-
| |
| |
| |
| |
| |
| | 43\162
| |
|
|
|
|
| | 10
|
| | 3
|
| | 3.333
|
| | 318.519
|60\227
| |
|317.181
|882.819
|13
|8
|1.625
|Golden 15L 4s sequence can be found here
|-
|-
| |
| |
| | 13\49
| |
| |
| |
| |
|
|
|
|
| | 3
|
| | 1
|23\87
| | 3.000
|
| | 318.367
|
| |
|317.241
|882.759
|5
|3
|1.667
|Semisoft 15L 4s
|-
|-
| |
| |
| |
| |
| | 35\132
| |
| |
|
|
|
|
| | 8
|
| | 3
|
| | 2.667
|
| | 318.182
|55\208
| |
|317.308
|882.692
|12
|7
|1.714
|
|-
|-
| |
| |
| |
| | 22\83
| |
| |
| |
|
|
|
|
| | 5
|
| | 2
|
| | 2.500
|32\121
| | 318.072
|
| |
|317.355
|882.645
|7
|4
|1.750
|
|-
|-
| |
| |
| |
| |
| | 31\117
| |
| |
|
|
|
|
| | 7
|
| | 3
|
| | 2.333
|
| | 317.949
|41\155
| |
|317.419
|882.581
|9
|5
|1.800
|
|-
|-
| |
|
| |
|9\34
| |
|
| |
|
| |
| | 40\151
| |
|
|
|
|
| | 9
|317.647
| | 4
|882.353
| | 2.250
|2
| | 317.881
|1
| |
|2.000
|Basic 15L 4s (Generators smaller than this are proper)
|-
|-
| |
| | 9\34
| |
| |
| |
| |
| |
|
|
|
|
| | 2
|
| | 1
|
| | 2.000
|
| | 317.647
|40\151
| |
|317.881
|882.119
|9
|4
|2.250
|
|-
|-
| |
| |
| |
| |
| |
| | 41\155
| |
|
|
|
|
| | 9
|
| | 5
|
| | 1.800
|31\117
| | 317.419
|
| |
|317.949
|882.051
|7
|3
|2.333
|
|-
|-
| |
| |
| |
| |
| | 32\121
| |
| |
|
|
|
|
| | 7
|
| | 4
|
| | 1.750
|
| | 317.355
|53\200
| |
|318.000
|882.000
|12
|5
|2.400
|
|-
|-
| |
| |
| |
| | 23\87
| |
| |
| |
|
|
|
|
| | 5
|
| | 3
|22\83
| | 1.667
|
| | 317.241
|
| |
|318.072
|881.928
|5
|2
|2.500
|Semihard 15L 4s
|-
|-
| |
| |
| |
| |
| | 37\140
| |
| |
|
|
|
|
| | 8
|
| | 5
|
| | 1.600
|
| | 317.143
|57\215
| |
|318.140
|881.860
|13
|5
|2.600
|
|-
|-
| |
| |
| | 14\53
| |
| |
| |
| |
|
|
|
|
| | 3
|
| | 2
|
| | 1.500
|35\132
| | 316.981
|
| |
|318.182
|881.818
|8
|3
|2.667
|
|-
|-
| |
| |
| |
| |
| |
| | 47\178
| |
|
|
|
|
| | 10
|
| | 7
|
| | 1.429
|
| | 316.854
|48\181
| |
|318.232
|881.768
|11
|4
|2.750
|
|-
|-
| |
| |
| |
| |
| | 33\125
| |
| |
|
|
|
|
| | 7
|13\49
| | 5
|
| | 1.400
|
| | 316.800
|
| |
|318.367
|881.633
|3
|1
|3.000
|Monohard 15L 4s
|-
|-
| |
| |
| |
| | 19\72
| |
| |
| |
|
|
|
|
| | 4
|
| | 3
|
| | 1.333
|
| | 316.667
|43\162
| |
|318.519
|881.481
|10
|3
|3.333
|
|-
|-
| |
| |
| |
| |
| |
| | 43\163
| |
|
|
|
|
| | 9
|
| | 7
|
| | 1.286
|30\113
| | 316.564
|
| |
|318.584
|881.416
|7
|2
|3.500
|
|-
|-
| |
| |
| |
| |
| | 24\91
| |
| |
|
|
|
|
| | 5
|
| | 4
|
| | 1.250
|
| | 316.484
|47\177
| |
|318.644
|881.356
|11
|3
|3.667
|
|-
|-
| |
| |
| |
| |
| |
| | 29\110
| |
|
|
|
|
| | 6
|
| | 5
|17\64
| | 1.200
|
| | 316.364
|
| |
|318.750
|881.250
|4
|1
|4.000
|Superhard 15L 4s
|-
|-
| |
| |
| |
| |
| |
| |
| |34\129
|
|
|
|
| | 7
|
| | 6
|
| | 1.167
|
| | 316.279
|38\143
| |
|318.881
|881.119
|9
|2
|4.500
|
|-
|-
| |
| |
| |
| |
| |
| |
| |
|39\148
|
|
| | 8
|
| | 7
|
| | 1.143
|
| | 316.216
|21\79
| |
|
|318.987
|881.013
|5
|1
|5.000
|
|-
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|44\167
|
| | 9
|
| | 8
|
| | 1.125
|
| | 316.168
|25\94
| |
|319.149
|880.851
|6
|1
|6.000
|
|-
|-
| | 5\19
|4\15
| |
|
| |
|
| |
|
| |
| |
| |
|
|
|
|
| | 1
|320.000
| | 1
|880.000
| | 1.000
|1
| | 315.789
|0
| |
|→ inf
|Collapsed 15L 4s (Degenerate case)
|}
|}

Revision as of 04:28, 24 February 2023

↖ 14L 3s ↑ 15L 3s 16L 3s ↗
← 14L 4s 15L 4s 16L 4s →
↙ 14L 5s ↓ 15L 5s 16L 5s ↘
Scale structure
Step pattern LLLLsLLLLsLLLLsLLLs
sLLLsLLLLsLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\19 to 4\15 (315.8 ¢ to 320.0 ¢)
Dark 11\15 to 14\19 (880.0 ¢ to 884.2 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 4L 11s
Sister 4L 15s
Daughters 19L 15s, 15L 19s
Neutralized 11L 8s
2-Flought 34L 4s, 15L 23s
Equal tunings
Equalized (L:s = 1:1) 5\19 (315.8 ¢)
Supersoft (L:s = 4:3) 19\72 (316.7 ¢)
Soft (L:s = 3:2) 14\53 (317.0 ¢)
Semisoft (L:s = 5:3) 23\87 (317.2 ¢)
Basic (L:s = 2:1) 9\34 (317.6 ¢)
Semihard (L:s = 5:2) 22\83 (318.1 ¢)
Hard (L:s = 3:1) 13\49 (318.4 ¢)
Superhard (L:s = 4:1) 17\64 (318.8 ¢)
Collapsed (L:s = 1:0) 4\15 (320.0 ¢)
View • Talk • Edit

15L 4s is an MOS pattern generated by a large minor third of 5\19 (~315.8 ¢) to 4\15 (320 ¢). It is notable as the MOS scale of Catakleismic[19].

Scale tree

Generator Bright gen. Dark gen. L s L/s Comments
5\19 315.789 884.211 1 1 1.000 Equalized 15L 4s (Degenerate case)
29\110 316.364 883.636 6 5 1.200
24\91 316.484 883.516 5 4 1.250
43\163 316.564 883.436 9 7 1.286
19\72 316.667 883.333 4 3 1.333 Supersoft 15L 4s
52\197 316.751 883.249 11 8 1.375
33\125 316.800 883.200 7 5 1.400
47\178 316.854 883.146 10 7 1.429
14\53 316.981 883.019 3 2 1.500 Monosoft 15L 4s
51\193 317.098 882.902 11 7 1.571
37\140 317.143 882.857 8 5 1.600
60\227 317.181 882.819 13 8 1.625 Golden 15L 4s sequence can be found here
23\87 317.241 882.759 5 3 1.667 Semisoft 15L 4s
55\208 317.308 882.692 12 7 1.714
32\121 317.355 882.645 7 4 1.750
41\155 317.419 882.581 9 5 1.800
9\34 317.647 882.353 2 1 2.000 Basic 15L 4s (Generators smaller than this are proper)
40\151 317.881 882.119 9 4 2.250
31\117 317.949 882.051 7 3 2.333
53\200 318.000 882.000 12 5 2.400
22\83 318.072 881.928 5 2 2.500 Semihard 15L 4s
57\215 318.140 881.860 13 5 2.600
35\132 318.182 881.818 8 3 2.667
48\181 318.232 881.768 11 4 2.750
13\49 318.367 881.633 3 1 3.000 Monohard 15L 4s
43\162 318.519 881.481 10 3 3.333
30\113 318.584 881.416 7 2 3.500
47\177 318.644 881.356 11 3 3.667
17\64 318.750 881.250 4 1 4.000 Superhard 15L 4s
38\143 318.881 881.119 9 2 4.500
21\79 318.987 881.013 5 1 5.000
25\94 319.149 880.851 6 1 6.000
4\15 320.000 880.000 1 0 → inf Collapsed 15L 4s (Degenerate case)
Retrieved from "https://en.xen.wiki/index.php?title=15L_4s&oldid=103666"