2L 15s: Difference between revisions

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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 ==
Triton / liese / progress range
Triton / liese / progress range
 
{{Scale tree}}
{| class="wikitable"
! colspan="8" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\2
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 600.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|15\31
| | 8
| | 1
| | 8.000
| | 580.645
| | Tritonic
|-
| |
| |
| |
| |
| |
| |
| |14\29
|
| | 7
| | 1
| | 7.000
| | 579.310
| |
|-
| |
| |
| |
| |
| |
| |
| |
|27\56
| | 13
| | 2
| | 6.500
| | 578.571
| |
|-
| |
| |
| |
| |
| |
| | 13\27
| |
|
| | 6
| | 1
| | 6.000
| | 577.778
| | Fervor
|-
| |
| |
| |
| |
| |
| |
| |
|38\79
| | 17
| | 3
| | 5.667
| | 577.215
| |
|-
| |
| |
| |
| |
| |
| |
| |25\52
|
| | 11
| | 2
| | 5.500
| | 576.923
| |
|-
| |
| |
| |
| |
| |
| |
| |
|37\77
| | 16
| | 3
| | 5.333
| | 576.623
| |
|-
| |
| |
| |
| |
| | 12\25
| |
| |
|
| | 5
| | 1
| | 5.000
| | 576.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|47\98
| | 19
| | 4
| | 4.750
| | 575.510
| |
|-
| |
| |
| |
| |
| |
| |
| |35\73
|
| | 14
| | 3
| | 4.667
| | 575.342
| |
|-
| |
| |
| |
| |
| |
| | 23\48
| |
|
| | 9
| | 2
| | 4.500
| | 575.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|57\119
| | 22
| | 5
| | 4.400
| | 574.790
| |
|-
| |
| |
| |
| |
| |
| |
| |34\71
|
| | 13
| | 3
| | 4.333
| | 574.648
| |
|-
| |
| |
| |
| |
| |
| |
| |
|45\94
| | 17
| | 4
| | 4.250
| | 574.468
| |
|-
| |
| |
| |
| | 11\23
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 573.913
| |
|-
| |
| |
| |
| |
| |
| |
| |
|54\113
| | 19
| | 5
| | 3.800
| | 573.451
| |
|-
| |
| |
| |
| |
| |
| |
| |43\90
|
| | 15
| | 4
| | 3.750
| | 573.333
| |
|-
| |
| |
| |
| |
| |
| | 32\67
| |
|
| | 11
| | 3
| | 3.667
| | 573.134
| |
|-
| |
| |
| |
| |
| |
| |
| |53\111
|
| | 18
| | 5
| | 3.600
| | 572.973
| |
|-
| |
| |
| |
| |
| | 21\44
| |
| |
|
| | 7
| | 2
| | 3.500
| | 572.727
| |
|-
| |
| |
| |
| |
| |
| |
| |52\109
|
| | 17
| | 5
| | 3.400
| | 572.477
| |
|-
| |
| |
| |
| |
| |
| | 31\65
| |
|
| | 10
| | 3
| | 3.333
| | 572.308
| |
|-
| |
| |
| |
| |
| |
| |
| |41\86
|
| | 13
| | 4
| | 3.250
| | 572.093
| |
|-
| |
| |
| |
| |
| |
| |
| |
|51\107
| | 16
| | 5
| | 3.200
| | 571.963
| |
|-
| |
| |
| | 10\21
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 571.429
| |
|-
| |
| |
| |
| |
| |
| |
| |49\103
|
| | 14
| | 5
| | 2.800
| | 570.874
| |
|-
| |
| |
| |
| |
| |
| | 39\82
| |
|
| | 11
| | 4
| | 2.750
| | 570.732
| |
|-
| |
| |
| |
| |
| | 29\61
| |
| |
|
| | 8
| | 3
| | 2.667
| | 570.492
| |
|-
| |
| |
| |
| |
| |
| | 48\101
| |
|
| | 13
| | 5
| | 2.600
| | 570.297
| |
|-
| |
| |
| |
| | 19\40
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 570.000
| |
|-
| |
| |
| |
| |
| |
| | 47\99
| |
|
| | 12
| | 5
| | 2.400
| | 569.697
| |
|-
| |
| |
| |
| |
| | 28\59
| |
| |
|
| | 7
| | 3
| | 2.333
| | 569.492
| |
|-
| |
| |
| |
| |
| |
| |
| |37\78
|
| | 9
| | 4
| | 2.250
| | 569.231
| |
|-
| |
| |
| |
| |
| |
| | 46\97
| |
|
| | 11
| | 5
| | 2.200
| | 569.072
| |
|-
| |
| |
| |
| |
| |
| |
| |55\116
|
| | 13
| | 6
| | 2.167
| | 568.966
| | Lisa
|-
| |
| | 9\19
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 568.421
| |
|-
| |
| |
| |
| |
| |
| |
| |53\112
|
| | 11
| | 6
| | 1.833
| | 567.857
| |
|-
| |
| |
| |
| |
| |
| | 44\93
| |
|
| | 9
| | 5
| | 1.800
| | 567.742
| | Pycnic
|-
| |
| |
| |
| |
| | 35\74
| |
| |
|
| | 7
| | 4
| | 1.750
| | 567.568
| |
|-
| |
| |
| |
| | 26\55
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 567.273
| |
|-
| |
| |
| |
| |
| | 43\91
| |
| |
|
| | 8
| | 5
| | 1.600
| | 567.033
| | Liesel
|-
| |
| |
| | 17\36
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 566.667
| |
|-
| |
| |
| |
| |
| | 42\89
| |
| |
|
| | 7
| | 5
| | 1.400
| | 566.292
| |
|-
| |
| |
| |
| | 25\53
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 566.038
| | Tricot
|-
| |
| |
| |
| |
| | 33\70
| |
| |
|
| | 5
| | 4
| | 1.250
| | 565.714
| |
|-
| |
| |
| |
| |
| |
| | 41\87
| |
|
| | 6
| | 5
| | 1.200
| | 565.517
| |
|-
| |
| |
| |
| |
| |
| |
| |49\104
|
| | 7
| | 6
| | 1.167
| | 565.385
| |
|-
|
|
|
|
|
|
|
|57\121
|8
|7
|1.143
|565.289
|
|-
| | 8\17
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 564.706
| |
|}

Revision as of 20:50, 22 September 2024

↖ 1L 14s ↑ 2L 14s 3L 14s ↗
← 1L 15s 2L 15s 3L 15s →
↙ 1L 16s ↓ 2L 16s 3L 16s ↘
Scale structure
Step pattern LsssssssLssssssss
ssssssssLsssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 8\17 to 1\2 (564.7 ¢ to 600.0 ¢)
Dark 1\2 to 9\17 (600.0 ¢ to 635.3 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 5:1 to 1:0
Related MOS scales
Parent 2L 13s
Sister 15L 2s
Daughters 17L 2s, 2L 17s
Neutralized 4L 13s
2-Flought 19L 15s, 2L 32s
Equal tunings
Equalized (L:s = 1:1) 8\17 (564.7 ¢)
Supersoft (L:s = 4:3) 25\53 (566.0 ¢)
Soft (L:s = 3:2) 17\36 (566.7 ¢)
Semisoft (L:s = 5:3) 26\55 (567.3 ¢)
Basic (L:s = 2:1) 9\19 (568.4 ¢)
Semihard (L:s = 5:2) 19\40 (570.0 ¢)
Hard (L:s = 3:1) 10\21 (571.4 ¢)
Superhard (L:s = 4:1) 11\23 (573.9 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)
View • Talk • Edit

2L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 15 small steps, repeating every octave. 2L 15s is related to 2L 7s, expanding it by 8 tones. Generators that produce this scale range from 564.7 ¢ to 600 ¢, or from 600 ¢ to 635.3 ¢.

Modes

Modes of 2L 15s
UDP Cyclic
order		 Step
pattern
16|0 1 LsssssssLssssssss
15|1 9 LssssssssLsssssss
14|2 17 sLsssssssLsssssss
13|3 8 sLssssssssLssssss
12|4 16 ssLsssssssLssssss
11|5 7 ssLssssssssLsssss
10|6 15 sssLsssssssLsssss
9|7 6 sssLssssssssLssss
8|8 14 ssssLsssssssLssss
7|9 5 ssssLssssssssLsss
6|10 13 sssssLsssssssLsss
5|11 4 sssssLssssssssLss
4|12 12 ssssssLsssssssLss
3|13 3 ssssssLssssssssLs
2|14 11 sssssssLsssssssLs
1|15 2 sssssssLssssssssL
0|16 10 ssssssssLsssssssL

Tuning spectrum

Triton / liese / progress range

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 2L 15s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
8\17 564.706 635.294 1:1 1.000 Equalized 2L 15s
41\87 565.517 634.483 6:5 1.200
33\70 565.714 634.286 5:4 1.250
58\123 565.854 634.146 9:7 1.286
25\53 566.038 633.962 4:3 1.333 Supersoft 2L 15s
67\142 566.197 633.803 11:8 1.375
42\89 566.292 633.708 7:5 1.400
59\125 566.400 633.600 10:7 1.429
17\36 566.667 633.333 3:2 1.500 Soft 2L 15s
60\127 566.929 633.071 11:7 1.571
43\91 567.033 632.967 8:5 1.600
69\146 567.123 632.877 13:8 1.625
26\55 567.273 632.727 5:3 1.667 Semisoft 2L 15s
61\129 567.442 632.558 12:7 1.714
35\74 567.568 632.432 7:4 1.750
44\93 567.742 632.258 9:5 1.800
9\19 568.421 631.579 2:1 2.000 Basic 2L 15s
Scales with tunings softer than this are proper
37\78 569.231 630.769 9:4 2.250
28\59 569.492 630.508 7:3 2.333
47\99 569.697 630.303 12:5 2.400
19\40 570.000 630.000 5:2 2.500 Semihard 2L 15s
48\101 570.297 629.703 13:5 2.600
29\61 570.492 629.508 8:3 2.667
39\82 570.732 629.268 11:4 2.750
10\21 571.429 628.571 3:1 3.000 Hard 2L 15s
31\65 572.308 627.692 10:3 3.333
21\44 572.727 627.273 7:2 3.500
32\67 573.134 626.866 11:3 3.667
11\23 573.913 626.087 4:1 4.000 Superhard 2L 15s
23\48 575.000 625.000 9:2 4.500
12\25 576.000 624.000 5:1 5.000
13\27 577.778 622.222 6:1 6.000
1\2 600.000 600.000 1:0 → ∞ Collapsed 2L 15s
Retrieved from "https://en.xen.wiki/index.php?title=2L_15s&oldid=156153"