9L 8s

From Xenharmonic Wiki
Revision as of 22:31, 22 September 2024 by Ganaram inukshuk (talk | contribs) (put todo back)
Jump to navigation Jump to search
↖ 8L 7s ↑ 9L 7s 10L 7s ↗
← 8L 8s 9L 8s 10L 8s →
↙ 8L 9s ↓ 9L 9s 10L 9s ↘
Scale structure
Step pattern LLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 15\17 to 8\9 (1058.8 ¢ to 1066.7 ¢)
Dark 1\9 to 2\17 (133.3 ¢ to 141.2 ¢)
TAMNAMS information
Related to 8L 1s (subneutralic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 8L 1s
Sister 8L 9s
Daughters 17L 9s, 9L 17s
Neutralized 1L 16s
2-Flought 26L 8s, 9L 25s
Equal tunings
Equalized (L:s = 1:1) 15\17 (1058.8 ¢)
Supersoft (L:s = 4:3) 53\60 (1060.0 ¢)
Soft (L:s = 3:2) 38\43 (1060.5 ¢)
Semisoft (L:s = 5:3) 61\69 (1060.9 ¢)
Basic (L:s = 2:1) 23\26 (1061.5 ¢)
Semihard (L:s = 5:2) 54\61 (1062.3 ¢)
Hard (L:s = 3:1) 31\35 (1062.9 ¢)
Superhard (L:s = 4:1) 39\44 (1063.6 ¢)
Collapsed (L:s = 1:0) 8\9 (1066.7 ¢)
ViewTalkEdit

9L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 8 small steps, repeating every octave. 9L 8s is a child scale of 8L 1s, expanding it by 8 tones. Generators that produce this scale range from 1058.8 ¢ to 1066.7 ¢, or from 133.3 ¢ to 141.2 ¢.

Modes

Modes of 9L 8s
UDP Cyclic
order
Step
pattern
16|0 1 LLsLsLsLsLsLsLsLs
15|1 16 LsLLsLsLsLsLsLsLs
14|2 14 LsLsLLsLsLsLsLsLs
13|3 12 LsLsLsLLsLsLsLsLs
12|4 10 LsLsLsLsLLsLsLsLs
11|5 8 LsLsLsLsLsLLsLsLs
10|6 6 LsLsLsLsLsLsLLsLs
9|7 4 LsLsLsLsLsLsLsLLs
8|8 2 LsLsLsLsLsLsLsLsL
7|9 17 sLLsLsLsLsLsLsLsL
6|10 15 sLsLLsLsLsLsLsLsL
5|11 13 sLsLsLLsLsLsLsLsL
4|12 11 sLsLsLsLLsLsLsLsL
3|13 9 sLsLsLsLsLLsLsLsL
2|14 7 sLsLsLsLsLsLLsLsL
1|15 5 sLsLsLsLsLsLsLLsL
0|16 3 sLsLsLsLsLsLsLsLL

Tuning spectrum

Todo: review

Review entries from past page revision and enter them into the 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 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
15\17 1058.824 141.176 1:1 1.000 Equalized 9L 8s
83\94 1059.574 140.426 6:5 1.200
68\77 1059.740 140.260 5:4 1.250
121\137 1059.854 140.146 9:7 1.286
53\60 1060.000 140.000 4:3 1.333 Supersoft 9L 8s
144\163 1060.123 139.877 11:8 1.375
91\103 1060.194 139.806 7:5 1.400
129\146 1060.274 139.726 10:7 1.429
38\43 1060.465 139.535 3:2 1.500 Soft 9L 8s
137\155 1060.645 139.355 11:7 1.571
99\112 1060.714 139.286 8:5 1.600
160\181 1060.773 139.227 13:8 1.625
61\69 1060.870 139.130 5:3 1.667 Semisoft 9L 8s
145\164 1060.976 139.024 12:7 1.714
84\95 1061.053 138.947 7:4 1.750
107\121 1061.157 138.843 9:5 1.800
23\26 1061.538 138.462 2:1 2.000 Basic 9L 8s
Scales with tunings softer than this are proper
100\113 1061.947 138.053 9:4 2.250
77\87 1062.069 137.931 7:3 2.333
131\148 1062.162 137.838 12:5 2.400
54\61 1062.295 137.705 5:2 2.500 Semihard 9L 8s
139\157 1062.420 137.580 13:5 2.600
85\96 1062.500 137.500 8:3 2.667
116\131 1062.595 137.405 11:4 2.750
31\35 1062.857 137.143 3:1 3.000 Hard 9L 8s
101\114 1063.158 136.842 10:3 3.333
70\79 1063.291 136.709 7:2 3.500
109\123 1063.415 136.585 11:3 3.667
39\44 1063.636 136.364 4:1 4.000 Superhard 9L 8s
86\97 1063.918 136.082 9:2 4.500
47\53 1064.151 135.849 5:1 5.000
55\62 1064.516 135.484 6:1 6.000
8\9 1066.667 133.333 1:0 → ∞ Collapsed 9L 8s