9L 13s: Difference between revisions

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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
 
==Scale tree==
== Scale tree ==
{{Scale tree}}
 
{{Stub}}
{| class="wikitable"
|-
| | 5/22
| |
| |
| |
| |
| | 272,727
|-
| |
| |
| |
| |
| | 22/97
| | 272.165
|-
| |
| |
| |
| | 17/75
| |
| | 272
|-
| |
| |
| |
| |
| | 29/128
| | 271.875
|-
| |
| |
| | 12/53
| |
| |
| | 271.698
|-
| |
| |
| |
| |
| |
| | 271.58
|-
| |
| |
| |
| |
| | 31/137
| | 271.533
|-
| |
| |
| |
| |
| |
| | 271.504
|-
| |
| |
| |
| | 19/84
| |
| | 271.429
|-
| |
| |
| |
| |
| |
| | 271.331
|-
| |
| |
| |
| |
| | 26/115
| | 271.304
|-
| |
| | 7/31
| |
| |
| |
| | 270.968
|-
| |
| |
| |
| |
| | 23/102
| | 270.588
|-
| |
| |
| |
| | 16/71
| |
| | 270.4225
|-
| |
| |
| |
| |
| |
| | 270.313
|-
| |
| |
| |
| |
| | 25/111
| | 270.27
|-
| |
| |
| |
| |
| |
| | 270.226
|-
| |
| |
| | 9/40
| |
| |
| | 270
|-
| |
| |
| |
| |
| |
| | 269.897
|-
| |
| |
| |
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| | 20/89
| | 269.669
|-
| |
| |
| |
| | 11/49
| |
| | 269.388
|-
| |
| |
| |
| |
| | 13/58
| | 268.9655
|-
| | 2/9
| |
| |
| |
| |
| | 266.667
|}
[[Category:Orwell]]
[[Category:Orwell]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]

Revision as of 19:48, 29 February 2024

↖ 8L 12s ↑ 9L 12s 10L 12s ↗
← 8L 13s 9L 13s 10L 13s →
↙ 8L 14s ↓ 9L 14s 10L 14s ↘
Scale structure
Step pattern LsLsLssLsLssLsLssLsLss
ssLsLssLsLssLsLssLsLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\22 to 7\9 (927.3 ¢ to 933.3 ¢)
Dark 2\9 to 5\22 (266.7 ¢ to 272.7 ¢)
TAMNAMS information
Related to 4L 5s (gramitonic)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 9L 4s
Sister 13L 9s
Daughters 22L 9s, 9L 22s
Neutralized 18L 4s
2-Flought 31L 13s, 9L 35s
Equal tunings
Equalized (L:s = 1:1) 17\22 (927.3 ¢)
Supersoft (L:s = 4:3) 58\75 (928.0 ¢)
Soft (L:s = 3:2) 41\53 (928.3 ¢)
Semisoft (L:s = 5:3) 65\84 (928.6 ¢)
Basic (L:s = 2:1) 24\31 (929.0 ¢)
Semihard (L:s = 5:2) 55\71 (929.6 ¢)
Hard (L:s = 3:1) 31\40 (930.0 ¢)
Superhard (L:s = 4:1) 38\49 (930.6 ¢)
Collapsed (L:s = 1:0) 7\9 (933.3 ¢)
View • Talk • Edit

9L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 13 small steps, repeating every octave. 9L 13s is a grandchild scale of 4L 5s, expanding it by 13 tones. Generators that produce this scale range from 927.3 ¢ to 933.3 ¢, or from 266.7 ¢ to 272.7 ¢.

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 9L 13s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
17\22 927.273 272.727 1:1 1.000 Equalized 9L 13s
92\119 927.731 272.269 6:5 1.200
75\97 927.835 272.165 5:4 1.250
133\172 927.907 272.093 9:7 1.286
58\75 928.000 272.000 4:3 1.333 Supersoft 9L 13s
157\203 928.079 271.921 11:8 1.375
99\128 928.125 271.875 7:5 1.400
140\181 928.177 271.823 10:7 1.429
41\53 928.302 271.698 3:2 1.500 Soft 9L 13s
147\190 928.421 271.579 11:7 1.571
106\137 928.467 271.533 8:5 1.600
171\221 928.507 271.493 13:8 1.625
65\84 928.571 271.429 5:3 1.667 Semisoft 9L 13s
154\199 928.643 271.357 12:7 1.714
89\115 928.696 271.304 7:4 1.750
113\146 928.767 271.233 9:5 1.800
24\31 929.032 270.968 2:1 2.000 Basic 9L 13s
Scales with tunings softer than this are proper
103\133 929.323 270.677 9:4 2.250
79\102 929.412 270.588 7:3 2.333
134\173 929.480 270.520 12:5 2.400
55\71 929.577 270.423 5:2 2.500 Semihard 9L 13s
141\182 929.670 270.330 13:5 2.600
86\111 929.730 270.270 8:3 2.667
117\151 929.801 270.199 11:4 2.750
31\40 930.000 270.000 3:1 3.000 Hard 9L 13s
100\129 930.233 269.767 10:3 3.333
69\89 930.337 269.663 7:2 3.500
107\138 930.435 269.565 11:3 3.667
38\49 930.612 269.388 4:1 4.000 Superhard 9L 13s
83\107 930.841 269.159 9:2 4.500
45\58 931.034 268.966 5:1 5.000
52\67 931.343 268.657 6:1 6.000
7\9 933.333 266.667 1:0 → ∞ Collapsed 9L 13s
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