7L 15s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
Mos intro, infobox mos
Ganaram inukshuk (talk | contribs)
Replaced scale tree
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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
It is the enharmonic scale of Coendou temperament.
It is the enharmonic scale of [[Coendou]] temperament.
 
{{Scale tree}}
{| class="wikitable"
|-
| | 1/7
| |
| |
| |
| |
| | 171.429
|-
| |
| |
| |
| |
| | 7/50
| | 168
|-
| |
| |
| |
| | 6/43
| |
| | 167.442
|-
| |
| |
| |
| |
| | 11/79
| | 167.089
|-
| |
| |
| |
| |
| |
| | 166.794
|-
| |
| |
| | 5/36
| |
| |
| | 166.667
|-
| |
| |
| |
| |
| |
| | 166.391
|-
| |
| |
| |
| |
| | 14/101
| | 166.3366
|-
| |
| |
| |
| |
| |
| | 166.285
|-
| |
| |
| |
| | 9/65
| |
| | 166.154
|-
| |
| |
| |
| |
| | 13/94
| | 165.957
|-
| |
| | 4/29
| |
| |
| |
| | 165.517
|-
| |
| |
| |
| |
| | 15/109
| | 165.138
|-
| |
| |
| |
| |
| |
| | 165.1085
|-
| |
| |
| |
| | 11/80
| |
| | 165
|-
| |
| |
| |
| |
| |
| | 164.917
|-
| |
| |
| |
| |
| | 18/131
| | 164.8855
|-
| |
| |
| | 7/51
| |
| |
| | 164.706
|-
| |
| |
| |
| |
| | 17/124
| | 164.516
|-
| |
| |
| |
| | 10/73
| |
| | 164.384
|-
| |
| |
| |
| |
| | 13/95
| | 164.2105
|-
| | 3/22
| |
| |
| |
| |
| | 163.636
|}
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Coendou]]
[[Category:Coendou]]

Revision as of 19:46, 29 February 2024

↖ 6L 14s ↑ 7L 14s 8L 14s ↗
← 6L 15s 7L 15s 8L 15s →
↙ 6L 16s ↓ 7L 16s 8L 16s ↘
Scale structure
Step pattern LssLssLssLssLssLssLsss
sssLssLssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\22 to 1\7 (163.6 ¢ to 171.4 ¢)
Dark 6\7 to 19\22 (1028.6 ¢ to 1036.4 ¢)
TAMNAMS information
Related to 7L 1s (pine)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 7L 8s
Sister 15L 7s
Daughters 22L 7s, 7L 22s
Neutralized 14L 8s
2-Flought 29L 15s, 7L 37s
Equal tunings
Equalized (L:s = 1:1) 3\22 (163.6 ¢)
Supersoft (L:s = 4:3) 10\73 (164.4 ¢)
Soft (L:s = 3:2) 7\51 (164.7 ¢)
Semisoft (L:s = 5:3) 11\80 (165.0 ¢)
Basic (L:s = 2:1) 4\29 (165.5 ¢)
Semihard (L:s = 5:2) 9\65 (166.2 ¢)
Hard (L:s = 3:1) 5\36 (166.7 ¢)
Superhard (L:s = 4:1) 6\43 (167.4 ¢)
Collapsed (L:s = 1:0) 1\7 (171.4 ¢)
ViewTalkEdit

7L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 15 small steps, repeating every octave. 7L 15s is a grandchild scale of 7L 1s, expanding it by 14 tones. Generators that produce this scale range from 163.6 ¢ to 171.4 ¢, or from 1028.6 ¢ to 1036.4 ¢. It is the enharmonic scale of Coendou temperament.

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 7L 15s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\22 163.636 1036.364 1:1 1.000 Equalized 7L 15s
16\117 164.103 1035.897 6:5 1.200
13\95 164.211 1035.789 5:4 1.250
23\168 164.286 1035.714 9:7 1.286
10\73 164.384 1035.616 4:3 1.333 Supersoft 7L 15s
27\197 164.467 1035.533 11:8 1.375
17\124 164.516 1035.484 7:5 1.400
24\175 164.571 1035.429 10:7 1.429
7\51 164.706 1035.294 3:2 1.500 Soft 7L 15s
25\182 164.835 1035.165 11:7 1.571
18\131 164.885 1035.115 8:5 1.600
29\211 164.929 1035.071 13:8 1.625
11\80 165.000 1035.000 5:3 1.667 Semisoft 7L 15s
26\189 165.079 1034.921 12:7 1.714
15\109 165.138 1034.862 7:4 1.750
19\138 165.217 1034.783 9:5 1.800
4\29 165.517 1034.483 2:1 2.000 Basic 7L 15s
Scales with tunings softer than this are proper
17\123 165.854 1034.146 9:4 2.250
13\94 165.957 1034.043 7:3 2.333
22\159 166.038 1033.962 12:5 2.400
9\65 166.154 1033.846 5:2 2.500 Semihard 7L 15s
23\166 166.265 1033.735 13:5 2.600
14\101 166.337 1033.663 8:3 2.667
19\137 166.423 1033.577 11:4 2.750
5\36 166.667 1033.333 3:1 3.000 Hard 7L 15s
16\115 166.957 1033.043 10:3 3.333
11\79 167.089 1032.911 7:2 3.500
17\122 167.213 1032.787 11:3 3.667
6\43 167.442 1032.558 4:1 4.000 Superhard 7L 15s
13\93 167.742 1032.258 9:2 4.500
7\50 168.000 1032.000 5:1 5.000
8\57 168.421 1031.579 6:1 6.000
1\7 171.429 1028.571 1:0 → ∞ Collapsed 7L 15s