15L 7s: Difference between revisions

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== 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
|-
| | 2\15
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 160.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|19\142
| | 9
| | 1
| | 9.000
| | 160.563
| |
|-
| |
| |
| |
| |
| |
| |
| |
|17\127
|
| | 8
| | 1
| | 8.000
| | 160.630
| |
|-
| |
| |
| |
| |
| |
| |
| |15\112
|
|
| | 7
| | 1
| | 7.000
| | 160.714
| |
|-
| |
| |
| |
| |
| |
| | 13\97
| |
|
|
| | 6
| | 1
| | 6.000
| | 160.825
| |
|-
| |
| |
| |
| |
| |
| |
| |24\179
|
|
| | 11
| | 2
| | 5.500
| | 160.894
| |
|-
| |
| |
| |
| |
| | 11\82
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 160.976
| |
|-
| |
| |
| |
| |
| |
| | 20\149
| |
|
|
| | 9
| | 2
| | 4.500
| | 161.074
| |
|-
| |
| |
| |
| | 9\67
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 161.194
| |
|-
| |
| |
| |
| |
| | 16\119
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 161.345
| |
|-
| |
| |
| |
| |
| |
| | 23\171
| |
|
|
| | 10
| | 3
| | 3.333
| | 161.404
| |
|-
| |
| |
| | 7\52
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 161.538
| |
|-
| |
| |
| |
| |
| | 19\141
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 161.702
| |
|-
| |
| |
| |
| | 12\89
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 161.798
| |
|-
| |
| |
| |
| |
| | 17\126
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 161.905
| |
|-
| |
| |
| |
| |
| |
| | 22\163
| |
|
|
| | 9
| | 4
| | 2.250
| | 161.963
| |
|-
| |
| | 5\37
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 162.162
| |
|-
| |
| |
| |
| |
| |
| | 23\170
| |
|
|
| | 9
| | 5
| | 1.800
| | 162.353
| |
|-
| |
| |
| |
| |
| | 18\133
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 162.406
| |
|-
| |
| |
| |
| | 13\96
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 162.500
| |
|-
| |
| |
| |
| |
| | 21\155
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 162.581
| |
|-
| |
| |
| | 8\59
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 162.712
| |
|-
| |
| |
| |
| |
| | 19\140
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 162.857
| |
|-
| |
| |
| |
| | 11\81
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 162.963
| |
|-
| |
| |
| |
| |
| | 14\103
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 163.107
| |
|-
| |
| |
| |
| |
| |
| | 17\125
| |
|
|
| | 6
| | 5
| | 1.200
| | 163.200
| |
|-
| |
| |
| |
| |
| |
| |
| |20\147
|
|
| | 7
| | 6
| | 1.167
| | 163.265
| |
|-
| |
| |
| |
| |
| |
| |
| |
|23\169
|
| | 8
| | 7
| | 1.143
| | 163.314
| |
|-
|
|
|
|
|
|
|
|
|26\191
|9
|8
|1.125
|163.351
|
|-
| | 3\22
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 163.636
| |
|}
 
[[Category:MOS scale]]
[[Category:MOS scale]]

Revision as of 07:10, 1 March 2024

↖ 14L 6s ↑ 15L 6s 16L 6s ↗
← 14L 7s 15L 7s 16L 7s →
↙ 14L 8s ↓ 15L 8s 16L 8s ↘
Scale structure
Step pattern LLLsLLsLLsLLsLLsLLsLLs
sLLsLLsLLsLLsLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 19\22 to 13\15 (1036.4 ¢ to 1040.0 ¢)
Dark 2\15 to 3\22 (160.0 ¢ to 163.6 ¢)
TAMNAMS information
Related to 7L 1s (pine)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 7L 8s
Sister 7L 15s
Daughters 22L 15s, 15L 22s
Neutralized 8L 14s
2-Flought 37L 7s, 15L 29s
Equal tunings
Equalized (L:s = 1:1) 19\22 (1036.4 ¢)
Supersoft (L:s = 4:3) 70\81 (1037.0 ¢)
Soft (L:s = 3:2) 51\59 (1037.3 ¢)
Semisoft (L:s = 5:3) 83\96 (1037.5 ¢)
Basic (L:s = 2:1) 32\37 (1037.8 ¢)
Semihard (L:s = 5:2) 77\89 (1038.2 ¢)
Hard (L:s = 3:1) 45\52 (1038.5 ¢)
Superhard (L:s = 4:1) 58\67 (1038.8 ¢)
Collapsed (L:s = 1:0) 13\15 (1040.0 ¢)
View • Talk • Edit

15L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 7 small steps, repeating every octave. 15L 7s is a grandchild scale of 7L 1s, expanding it by 14 tones. Generators that produce this scale range from 1036.4 ¢ to 1040 ¢, or from 160 ¢ to 163.6 ¢.

Modes

Modes of 15L 7s
UDP Cyclic
order		 Step
pattern
21|0 1 LLLsLLsLLsLLsLLsLLsLLs
20|1 20 LLsLLLsLLsLLsLLsLLsLLs
19|2 17 LLsLLsLLLsLLsLLsLLsLLs
18|3 14 LLsLLsLLsLLLsLLsLLsLLs
17|4 11 LLsLLsLLsLLsLLLsLLsLLs
16|5 8 LLsLLsLLsLLsLLsLLLsLLs
15|6 5 LLsLLsLLsLLsLLsLLsLLLs
14|7 2 LLsLLsLLsLLsLLsLLsLLsL
13|8 21 LsLLLsLLsLLsLLsLLsLLsL
12|9 18 LsLLsLLLsLLsLLsLLsLLsL
11|10 15 LsLLsLLsLLLsLLsLLsLLsL
10|11 12 LsLLsLLsLLsLLLsLLsLLsL
9|12 9 LsLLsLLsLLsLLsLLLsLLsL
8|13 6 LsLLsLLsLLsLLsLLsLLLsL
7|14 3 LsLLsLLsLLsLLsLLsLLsLL
6|15 22 sLLLsLLsLLsLLsLLsLLsLL
5|16 19 sLLsLLLsLLsLLsLLsLLsLL
4|17 16 sLLsLLsLLLsLLsLLsLLsLL
3|18 13 sLLsLLsLLsLLLsLLsLLsLL
2|19 10 sLLsLLsLLsLLsLLLsLLsLL
1|20 7 sLLsLLsLLsLLsLLsLLLsLL
0|21 4 sLLsLLsLLsLLsLLsLLsLLL

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 15L 7s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
19\22 1036.364 163.636 1:1 1.000 Equalized 15L 7s
108\125 1036.800 163.200 6:5 1.200
89\103 1036.893 163.107 5:4 1.250
159\184 1036.957 163.043 9:7 1.286
70\81 1037.037 162.963 4:3 1.333 Supersoft 15L 7s
191\221 1037.104 162.896 11:8 1.375
121\140 1037.143 162.857 7:5 1.400
172\199 1037.186 162.814 10:7 1.429
51\59 1037.288 162.712 3:2 1.500 Soft 15L 7s
185\214 1037.383 162.617 11:7 1.571
134\155 1037.419 162.581 8:5 1.600
217\251 1037.450 162.550 13:8 1.625
83\96 1037.500 162.500 5:3 1.667 Semisoft 15L 7s
198\229 1037.555 162.445 12:7 1.714
115\133 1037.594 162.406 7:4 1.750
147\170 1037.647 162.353 9:5 1.800
32\37 1037.838 162.162 2:1 2.000 Basic 15L 7s
Scales with tunings softer than this are proper
141\163 1038.037 161.963 9:4 2.250
109\126 1038.095 161.905 7:3 2.333
186\215 1038.140 161.860 12:5 2.400
77\89 1038.202 161.798 5:2 2.500 Semihard 15L 7s
199\230 1038.261 161.739 13:5 2.600
122\141 1038.298 161.702 8:3 2.667
167\193 1038.342 161.658 11:4 2.750
45\52 1038.462 161.538 3:1 3.000 Hard 15L 7s
148\171 1038.596 161.404 10:3 3.333
103\119 1038.655 161.345 7:2 3.500
161\186 1038.710 161.290 11:3 3.667
58\67 1038.806 161.194 4:1 4.000 Superhard 15L 7s
129\149 1038.926 161.074 9:2 4.500
71\82 1039.024 160.976 5:1 5.000
84\97 1039.175 160.825 6:1 6.000
13\15 1040.000 160.000 1:0 → ∞ Collapsed 15L 7s
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