3L 11s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
6,211 edits
No edit summary
ArrowHead294 (talk | contribs)
15,213 edits
m Adopt scale tree template
Tag: Replaced
Line 1: Line 1:
{{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 ==
{| class="wikitable"
{{Scale tree}}
! colspan="8" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\3
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 400.000
| |
|-
|
|
|
|
|
|
|
|12\35
|8
|1
|8.000
|411.429
|
|-
| |
| |
| |
| |
| |
| |
| | 11\32
| |
| | 7
| | 1
| | 7.000
| | 412.500
| |
|-
| |
| |
| |
| |
| |
| | 10\29
| |
| |
| | 6
| | 1
| | 6.000
| | 413.793
| |
|-
| |
| |
| |
| |
| |
| |
| | 19\55
| |
| | 11
| | 2
| | 5.500
| | 414.545
| |
|-
| |
| |
| |
| |
| | 9\26
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 415.385
| |
|-
| |
| |
| |
| |
| |
| |
| | 26\75
| |
| | 14
| | 3
| | 4.667
| | 416.000
| |
|-
| |
| |
| |
| |
| |
| | 17\49
| |
| |
| | 9
| | 2
| | 4.500
| | 416.327
| |
|-
| |
| |
| |
| |
| |
| |
| | 25\72
| |
| | 13
| | 3
| | 4.333
| | 416.667
| | Sqrtphi is around here
|-
| |
| |
| |
| | 8\23
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 417.391
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\89
| |
| | 15
| | 4
| | 3.750
| | 417.978
| |
|-
| |
| |
| |
| |
| |
| | 23\66
| |
| |
| | 11
| | 3
| | 3.667
| | 418.182
| |
|-
| |
| |
| |
| |
| | 15\43
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 418.605
| |
|-
| |
| |
| |
| |
| |
| | 22\63
| |
| |
| | 10
| | 3
| | 3.333
| | 419.048
| |
|-
| |
| |
| |
| |
| |
| |
| | 29\83
| |
| | 13
| | 4
| | 3.250
| | 419.277
| |
|-
| |
| |
| | 7\20
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 420.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 34\97
| |
| | 14
| | 5
| | 2.800
| | 420.619
| |
|-
| |
| |
| |
| |
| |
| | 27\77
| |
| |
| | 11
| | 4
| | 2.750
| | 420.779
| | Symbolic is around here
|-
| |
| |
| |
| |
| | 20\57
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 421.053
| |
|-
| |
| |
| |
| |
| |
| | 33\94
| |
| |
| | 13
| | 5
| | 2.600
| | 421.277
| |
|-
| |
| |
| |
| | 13\37
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 421.622
| |
|-
| |
| |
| |
| |
| |
| | 32\91
| |
| |
| | 12
| | 5
| | 2.400
| | 421.978
| |
|-
| |
| |
| |
| |
| | 19\54
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 422.222
| |
|-
| |
| |
| |
| |
| |
| | 25\71
| |
| |
| | 9
| | 4
| | 2.250
| | 422.535
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\88
| |
| | 11
| | 5
| | 2.200
| | 422.727
| |
|-
| |
| | 6\17
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 423.529
| |
|-
| |
| |
| |
| |
| |
| |
| | 35\99
| |
| | 11
| | 6
| | 1.833
| | 424.242
| |
|-
| |
| |
| |
| |
| |
| | 29\82
| |
| |
| | 9
| | 5
| | 1.800
| | 424.390
| |
|-
| |
| |
| |
| |
| | 23\65
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 424.615
| |
|-
| |
| |
| |
| | 17\48
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 425.000
| |
|-
| |
| |
| |
| |
| | 28\79
| |
| |
| |
| | 8
| | 5
| | 1.600
| | 425.316
| |
|-
| |
| |
| | 11\31
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 425.806
| | Squares and Sentinel are around here
|-
| |
| |
| |
| |
| | 27\76
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 426.316
| |
|-
| |
| |
| |
| | 16\45
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 426.667
| |
|-
| |
| |
| |
| |
| | 21\59
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 427.119
| |
|-
| |
| |
| |
| |
| |
| | 26\73
| |
| |
| | 6
| | 5
| | 1.200
| | 427.397
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\87
| |
| | 7
| | 6
| | 1.167
| | 427.586
| |
|-
|
|
|
|
|
|
|
|36\101
|8
|7
|1.143
|427.723
|
|-
| | 5\14
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 428.571
| |
|}

Revision as of 20:49, 22 September 2024

↖ 2L 10s ↑ 3L 10s 4L 10s ↗
← 2L 11s 3L 11s 4L 11s →
↙ 2L 12s ↓ 3L 12s 4L 12s ↘
Scale structure
Step pattern LsssLssssLssss
ssssLssssLsssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\14 to 2\3 (771.4 ¢ to 800.0 ¢)
Dark 1\3 to 5\14 (400.0 ¢ to 428.6 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 3L 8s
Sister 11L 3s
Daughters 14L 3s, 3L 14s
Neutralized 6L 8s
2-Flought 17L 11s, 3L 25s
Equal tunings
Equalized (L:s = 1:1) 9\14 (771.4 ¢)
Supersoft (L:s = 4:3) 29\45 (773.3 ¢)
Soft (L:s = 3:2) 20\31 (774.2 ¢)
Semisoft (L:s = 5:3) 31\48 (775.0 ¢)
Basic (L:s = 2:1) 11\17 (776.5 ¢)
Semihard (L:s = 5:2) 24\37 (778.4 ¢)
Hard (L:s = 3:1) 13\20 (780.0 ¢)
Superhard (L:s = 4:1) 15\23 (782.6 ¢)
Collapsed (L:s = 1:0) 2\3 (800.0 ¢)
View • Talk • Edit

3L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 3 large steps and 11 small steps, repeating every octave. 3L 11s is a grandchild scale of 3L 5s, expanding it by 6 tones. Generators that produce this scale range from 771.4 ¢ to 800 ¢, or from 400 ¢ to 428.6 ¢.

Modes

Modes of 3L 11s
UDP Cyclic
order		 Step
pattern
13|0 1 LsssLssssLssss
12|1 10 LssssLsssLssss
11|2 5 LssssLssssLsss
10|3 14 sLsssLssssLsss
9|4 9 sLssssLsssLsss
8|5 4 sLssssLssssLss
7|6 13 ssLsssLssssLss
6|7 8 ssLssssLsssLss
5|8 3 ssLssssLssssLs
4|9 12 sssLsssLssssLs
3|10 7 sssLssssLsssLs
2|11 2 sssLssssLssssL
1|12 11 ssssLsssLssssL
0|13 6 ssssLssssLsssL

Tuning spectrum

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 3L 11s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
9\14 771.429 428.571 1:1 1.000 Equalized 3L 11s
47\73 772.603 427.397 6:5 1.200
38\59 772.881 427.119 5:4 1.250
67\104 773.077 426.923 9:7 1.286
29\45 773.333 426.667 4:3 1.333 Supersoft 3L 11s
78\121 773.554 426.446 11:8 1.375
49\76 773.684 426.316 7:5 1.400
69\107 773.832 426.168 10:7 1.429
20\31 774.194 425.806 3:2 1.500 Soft 3L 11s
71\110 774.545 425.455 11:7 1.571
51\79 774.684 425.316 8:5 1.600
82\127 774.803 425.197 13:8 1.625
31\48 775.000 425.000 5:3 1.667 Semisoft 3L 11s
73\113 775.221 424.779 12:7 1.714
42\65 775.385 424.615 7:4 1.750
53\82 775.610 424.390 9:5 1.800
11\17 776.471 423.529 2:1 2.000 Basic 3L 11s
Scales with tunings softer than this are proper
46\71 777.465 422.535 9:4 2.250
35\54 777.778 422.222 7:3 2.333
59\91 778.022 421.978 12:5 2.400
24\37 778.378 421.622 5:2 2.500 Semihard 3L 11s
61\94 778.723 421.277 13:5 2.600
37\57 778.947 421.053 8:3 2.667
50\77 779.221 420.779 11:4 2.750
13\20 780.000 420.000 3:1 3.000 Hard 3L 11s
41\63 780.952 419.048 10:3 3.333
28\43 781.395 418.605 7:2 3.500
43\66 781.818 418.182 11:3 3.667
15\23 782.609 417.391 4:1 4.000 Superhard 3L 11s
32\49 783.673 416.327 9:2 4.500
17\26 784.615 415.385 5:1 5.000
19\29 786.207 413.793 6:1 6.000
2\3 800.000 400.000 1:0 → ∞ Collapsed 3L 11s
Retrieved from "https://en.xen.wiki/index.php?title=3L_11s&oldid=156150"