5L 14s: Difference between revisions

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== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree==
{| class="wikitable"
{{Scale tree}}
! colspan="9" | generator
{{Stub}}
!
[[category:todo:expand]]
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\5
| |
| |
| |
| |
| |
| |
|
|
|
| | 1
| | 0
| |
| | 240.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|13\64
| | 10
| | 1
| | 10.000
| | 243.750
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|12\59
|
| | 9
| | 1
| | 9.000
| | 244.068
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|23\113
| | 17
| | 2
| | 8.500
| | 244.248
| |
|-
| |
| |
| |
| |
| |
| |
| |
|11\54
|
|
| | 8
| | 1
| | 8.000
| | 244.444
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|21\103
|
| | 15
| | 2
| | 7.500
| | 244.660
| |
|-
| |
| |
| |
| |
| |
| |
| |10\49
|
|
|
| | 7
| | 1
| | 7.000
| | 244.898
| |
|-
| |
| |
| |
| |
| |
| |
| |
|19\93
|
|
| | 13
| | 2
| | 6.500
| | 245.161
| |
|-
| |
| |
| |
| |
| |
| | 9\44
| |
|
|
|
| | 6
| | 1
| | 6.000
| | 245.455
| |
|-
| |
| |
| |
| |
| |
| |
| |17\83
|
|
|
| | 11
| | 2
| | 5.500
| | 245.783
| |
|-
| |
| |
| |
| |
| | 8\39
| |
| |
|
|
|
| | 5
| | 1
| | 5.000
| | 246.154
| |
|-
| |
| |
| |
| |
| |
| |
| |23\112
|
|
|
| | 14
| | 3
| | 4.667
| | 246.429
| |
|-
| |
| |
| |
| |
| |
| | 15\73
| |
|
|
|
| | 9
| | 2
| | 4.500
| | 246.575
| |
|-
| |
| |
| |
| |
| |
| |
| |22\107
|
|
|
| | 13
| | 3
| | 4.333
| | 246.729
| |
|-
| |
| |
| |
| | 7\34
| |
| |
| |
|
|
|
| | 4
| | 1
| | 4.000
| | 247.059
| |
|-
| |
| |
| |
| |
| |
| | 20\97
| |
|
|
|
| | 11
| | 3
| | 3.667
| | 247.423
| |
|-
| |
| |
| |
| |
| | 13\63
| |
| |
|
|
|
| | 7
| | 2
| | 3.500
| | 247.619
| |
|-
| |
| |
| |
| |
| |
| | 19\92
| |
|
|
|
| | 10
| | 3
| | 3.333
| | 247.826
| |
|-
| |
| |
| | 6\29
| |
| |
| |
| |
|
|
|
| | 3
| | 1
| | 3.000
| | 248.276
| |
|-
| |
| |
| |
| |
| |
| | 23\111
| |
|
|
|
| | 11
| | 4
| | 2.750
| | 248.649
| |
|-
| |
| |
| |
| |
| | 17\82
| |
| |
|
|
|
| | 8
| | 3
| | 2.667
| | 248.780
| |
|-
| |
| |
| |
| | 11\53
| |
| |
| |
|
|
|
| | 5
| | 2
| | 2.500
| | 249.057
| |
|-
| |
| |
| |
| |
| | 16\77
| |
| |
|
|
|
| | 7
| | 3
| | 2.333
| | 249.351
| |
|-
| |
| |
| |
| |
| |
| | 21\101
| |
|
|
|
| | 9
| | 4
| | 2.250
| | 249.505
| |
|-
| |
| | 5\24
| |
| |
| |
| |
| |
|
|
|
| | 2
| | 1
| | 2.000
| | 250.000
| |
|-
| |
| |
| |
| |
| |
| | 24\115
| |
|
|
|
| | 9
| | 5
| | 1.800
| | 250.435
| |
|-
| |
| |
| |
| |
| | 19\91
| |
| |
|
|
|
| | 7
| | 4
| | 1.750
| | 250.549
| |
|-
| |
| |
| |
| | 14\67
| |
| |
| |
|
|
|
| | 5
| | 3
| | 1.667
| | 250.746
| |
|-
| |
| |
| |
| |
| | 23\110
| |
| |
|
|
|
| | 8
| | 5
| | 1.600
| | 250.909
| |
|-
| |
| |
| | 9\43
| |
| |
| |
| |
|
|
|
| | 3
| | 2
| | 1.500
| | 251.163
| |
|-
| |
| |
| |
| |
| | 22\105
| |
| |
|
|
|
| | 7
| | 5
| | 1.400
| | 251.429
| |
|-
| |
| |
| |
| | 13\62
| |
| |
| |
|
|
|
| | 4
| | 3
| | 1.333
| | 251.613
| |
|-
| |
| |
| |
| |
| | 17\81
| |
| |
|
|
|
| | 5
| | 4
| | 1.250
| | 251.852
| |
|-
| |
| |
| |
| |
| |
| | 21\100
| |
|
|
|
| | 6
| | 5
| | 1.200
| | 252.000
| |
|-
| |
| |
| |
| |
| |
| |
| |25\119
|
|
|
| | 7
| | 6
| | 1.167
| | 252.101
| |
|-
|
|
|
|
|
|
|
|29\138
|
|
|8
|7
|1.143
|252.174
|
|-
|
|
|
|
|
|
|
|
|33\157
|
|9
|8
|1.125
|252.229
|
|-
|
|
|
|
|
|
|
|
|
|37\176
|10
|9
|1.111
|252.273
|
|-
| | 4\19
| |
| |
| |
| |
| |
| |
|
|
|
| | 1
| | 1
| | 1.000
| | 252.632
| |
|}

Revision as of 07:52, 1 March 2024

↖ 4L 13s ↑ 5L 13s 6L 13s ↗
← 4L 14s 5L 14s 6L 14s →
↙ 4L 15s ↓ 5L 15s 6L 15s ↘
Scale structure
Step pattern LssLsssLsssLsssLsss
sssLsssLsssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 15\19 to 4\5 (947.4 ¢ to 960.0 ¢)
Dark 1\5 to 4\19 (240.0 ¢ to 252.6 ¢)
TAMNAMS information
Related to 5L 4s (semiquartal)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 5L 9s
Sister 14L 5s
Daughters 19L 5s, 5L 19s
Neutralized 10L 9s
2-Flought 24L 14s, 5L 33s
Equal tunings
Equalized (L:s = 1:1) 15\19 (947.4 ¢)
Supersoft (L:s = 4:3) 49\62 (948.4 ¢)
Soft (L:s = 3:2) 34\43 (948.8 ¢)
Semisoft (L:s = 5:3) 53\67 (949.3 ¢)
Basic (L:s = 2:1) 19\24 (950.0 ¢)
Semihard (L:s = 5:2) 42\53 (950.9 ¢)
Hard (L:s = 3:1) 23\29 (951.7 ¢)
Superhard (L:s = 4:1) 27\34 (952.9 ¢)
Collapsed (L:s = 1:0) 4\5 (960.0 ¢)
View • Talk • Edit

5L 14s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 14 small steps, repeating every octave. 5L 14s is a grandchild scale of 5L 4s, expanding it by 10 tones. Generators that produce this scale range from 947.4 ¢ to 960 ¢, or from 240 ¢ to 252.6 ¢.

Modes

Modes of 5L 14s
UDP Cyclic
order		 Step
pattern
18|0 1 LssLsssLsssLsssLsss
17|1 16 LsssLssLsssLsssLsss
16|2 12 LsssLsssLssLsssLsss
15|3 8 LsssLsssLsssLssLsss
14|4 4 LsssLsssLsssLsssLss
13|5 19 sLssLsssLsssLsssLss
12|6 15 sLsssLssLsssLsssLss
11|7 11 sLsssLsssLssLsssLss
10|8 7 sLsssLsssLsssLssLss
9|9 3 sLsssLsssLsssLsssLs
8|10 18 ssLssLsssLsssLsssLs
7|11 14 ssLsssLssLsssLsssLs
6|12 10 ssLsssLsssLssLsssLs
5|13 6 ssLsssLsssLsssLssLs
4|14 2 ssLsssLsssLsssLsssL
3|15 17 sssLssLsssLsssLsssL
2|16 13 sssLsssLssLsssLsssL
1|17 9 sssLsssLsssLssLsssL
0|18 5 sssLsssLsssLsssLssL

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 5L 14s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
15\19 947.368 252.632 1:1 1.000 Equalized 5L 14s
79\100 948.000 252.000 6:5 1.200
64\81 948.148 251.852 5:4 1.250
113\143 948.252 251.748 9:7 1.286
49\62 948.387 251.613 4:3 1.333 Supersoft 5L 14s
132\167 948.503 251.497 11:8 1.375
83\105 948.571 251.429 7:5 1.400
117\148 948.649 251.351 10:7 1.429
34\43 948.837 251.163 3:2 1.500 Soft 5L 14s
121\153 949.020 250.980 11:7 1.571
87\110 949.091 250.909 8:5 1.600
140\177 949.153 250.847 13:8 1.625
53\67 949.254 250.746 5:3 1.667 Semisoft 5L 14s
125\158 949.367 250.633 12:7 1.714
72\91 949.451 250.549 7:4 1.750
91\115 949.565 250.435 9:5 1.800
19\24 950.000 250.000 2:1 2.000 Basic 5L 14s
Scales with tunings softer than this are proper
80\101 950.495 249.505 9:4 2.250
61\77 950.649 249.351 7:3 2.333
103\130 950.769 249.231 12:5 2.400
42\53 950.943 249.057 5:2 2.500 Semihard 5L 14s
107\135 951.111 248.889 13:5 2.600
65\82 951.220 248.780 8:3 2.667
88\111 951.351 248.649 11:4 2.750
23\29 951.724 248.276 3:1 3.000 Hard 5L 14s
73\92 952.174 247.826 10:3 3.333
50\63 952.381 247.619 7:2 3.500
77\97 952.577 247.423 11:3 3.667
27\34 952.941 247.059 4:1 4.000 Superhard 5L 14s
58\73 953.425 246.575 9:2 4.500
31\39 953.846 246.154 5:1 5.000
35\44 954.545 245.455 6:1 6.000
4\5 960.000 240.000 1:0 → ∞ Collapsed 5L 14s
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