9L 18s: Difference between revisions

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m Mos intro
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
6,211 edits
Replaced no-entries scale tree; stub
Line 10: Line 10:
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{{MOS intro}}
{{MOS intro}}
Its generator is not greater than a "pure" diesis or "neutral" quartertone of 1/27edo (44.444 cents).
== Scale tree ==
 
{{Scale tree}}{{Stub}}
{| class="wikitable"
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 0\9
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 0.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|1\99
| | 9
| | 1
| | 9.000
| | 12.121
| |
|-
| |
| |
| |
| |
| |
| |
| |
|1\90
|
| | 8
| | 1
| | 8.000
| | 13.333
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|2\171
| | 15
| | 2
| | 7.500
| | 14.035
| |
|-
| |
| |
| |
| |
| |
| |
| |1\81
|
|
| | 7
| | 1
| | 7.000
| | 14.815
| |
|-
| |
| |
| |
| |
| |
| |
| |
|2\153
|
| | 13
| | 2
| | 6.500
| | 15.686
| |
|-
| |
| |
| |
| |
| |
| | 1\72
| |
|
|
| | 6
| | 1
| | 6.000
| | 16.667
| |
|-
| |
| |
| |
| |
| |
| |
| |
|3\207
|
| | 17
| | 3
| | 5.667
| | 17.391
| |
|-
| |
| |
| |
| |
| |
| |
| |2\135
|
|
| | 11
| | 2
| | 5.500
| | 17.778
| |
|-
| |
| |
| |
| |
| |
| |
| |
|3\198
|
| | 16
| | 3
| | 5.333
| | 18.182
| |
|-
| |
| |
| |
| |
| | 1\63
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 19.048
| |
|-
| |
| |
| |
| |
| |
| |
| |3\180
|
|
| | 14
| | 3
| | 4.667
| | 20.000
| |
|-
| |
| |
| |
| |
| |
| | 2\117
| |
|
|
| | 9
| | 2
| | 4.500
| | 20.513
| |
|-
| |
| |
| |
| |
| |
| |
| |3\171
|
|
| | 13
| | 3
| | 4.333
| | 21.053
| |
|-
| |
| |
| |
| | 1\54
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 22.222
| |
|-
| |
| |
| |
| |
| |
| |
| |4\207
|
|
| | 15
| | 4
| | 3.750
| | 23.188
| |
|-
| |
| |
| |
| |
| |
| | 3\153
| |
|
|
| | 11
| | 3
| | 3.667
| | 23.529
| |
|-
| |
| |
| |
| |
| | 2\99
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 24.242
| |
|-
| |
| |
| |
| |
| |
| | 3\144
| |
|
|
| | 10
| | 3
| | 3.333
| | 25.000
| |
|-
| |
| |
| |
| |
| |
| |
| |4\189
|
|
| | 13
| | 4
| | 3.250
| | 25.397
| |
|-
| |
| |
| | 1\45
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 26.667
| |
|-
| |
| |
| |
| |
| |
| |
| |5\216
|
|
| | 14
| | 5
| | 2.800
| | 27.778
| |
|-
| |
| |
| |
| |
| |
| | 4\171
| |
|
|
| | 11
| | 4
| | 2.750
| | 28.070
| |
|-
| |
| |
| |
| |
| | 3\126
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 28.571
| |
|-
| |
| |
| |
| |
| |
| | 5\207
| |
|
|
| | 13
| | 5
| | 2.600
| | 28.986
| |
|-
| |
| |
| |
| | 2\81
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 29.630
| |
|-
| |
| |
| |
| |
| |
| | 5\198
| |
|
|
| | 12
| | 5
| | 2.400
| | 30.303
| |
|-
| |
| |
| |
| |
| | 3\117
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 30.769
| |
|-
| |
| |
| |
| |
| |
| | 4\153
| |
|
|
| | 9
| | 4
| | 2.250
| | 31.373
| |
|-
| |
| |
| |
| |
| |
| |
| |5\189
|
|
| | 11
| | 5
| | 2.200
| | 31.746
| |
|-
| |
| | 1\36
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 33.333
| |
|-
| |
| |
| |
| |
| |
| |
| |6\207
|
|
| | 11
| | 6
| | 1.833
| | 34.783
| |
|-
| |
| |
| |
| |
| |
| | 5\171
| |
|
|
| | 9
| | 5
| | 1.800
| | 35.088
| |
|-
| |
| |
| |
| |
| | 4\135
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 35.556
| |
|-
| |
| |
| |
| | 3\99
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 36.364
| |
|-
| |
| |
| |
| |
| | 5\162
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 37.037
| |
|-
| |
| |
| | 2\63
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 38.095
| |
|-
| |
| |
| |
| |
| |
| | 7\216
| |
|
|
| | 10
| | 7
| | 1.429
| | 38.889
| |
|-
| |
| |
| |
| |
| | 5\153
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 39.216
| |
|-
| |
| |
| |
| | 3\90
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 40.000
| |
|-
| |
| |
| |
| |
| |
| | 7\207
| |
|
|
| | 9
| | 7
| | 1.286
| | 40.580
| |
|-
| |
| |
| |
| |
| | 4\117
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 41.026
| |
|-
| |
| |
| |
| |
| |
| | 5\144
| |
|
|
| | 6
| | 5
| | 1.200
| | 41.667
| |
|-
| |
| |
| |
| |
| |
| |
| |6\171
|
|
| | 7
| | 6
| | 1.167
| | 42.105
| |
|-
| |
| |
| |
| |
| |
| |
| |
|7\198
|
| | 8
| | 7
| | 1.143
| | 42.424
| |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| | 8\225
| | 9
| | 8
| | 1.125
| | 42.667
| |
|-
| | 1\27
| |
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 44.444
| |
|}
 
[[Category:27-tone scales]]
[[Category:27-tone scales]]

Revision as of 07:48, 1 March 2024

↖ 8L 17s ↑ 9L 17s 10L 17s ↗
← 8L 18s 9L 18s 10L 18s →
↙ 8L 19s ↓ 9L 19s 10L 19s ↘
Scale structure
Step pattern LssLssLssLssLssLssLssLssLss
ssLssLssLssLssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 1\9 (133.3 ¢)
Generator size
Bright 2\27 to 1\9 (88.9 ¢ to 133.3 ¢)
Dark 0\9 to 1\27 (0.0 ¢ to 44.4 ¢)
TAMNAMS information
Related to 9L 9s
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 9L 9s
Sister 18L 9s
Daughters 27L 9s, 9L 27s
Neutralized 18L 9s
2-Flought 36L 18s, 9L 45s
Equal tunings
Equalized (L:s = 1:1) 2\27 (88.9 ¢)
Supersoft (L:s = 4:3) 7\90 (93.3 ¢)
Soft (L:s = 3:2) 5\63 (95.2 ¢)
Semisoft (L:s = 5:3) 8\99 (97.0 ¢)
Basic (L:s = 2:1) 3\36 (100.0 ¢)
Semihard (L:s = 5:2) 7\81 (103.7 ¢)
Hard (L:s = 3:1) 4\45 (106.7 ¢)
Superhard (L:s = 4:1) 5\54 (111.1 ¢)
Collapsed (L:s = 1:0) 1\9 (133.3 ¢)
View • Talk • Edit

9L 18s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 18 small steps, with a period of 1 large step and 2 small steps that repeats every 133.3 ¢, or 9 times every octave. 9L 18s is a child scale of 9L 9s, expanding it by 9 tones. Generators that produce this scale range from 88.9 ¢ to 133.3 ¢, or from 0 ¢ to 44.4 ¢.

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 18s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
2\27 88.889 44.444 1:1 1.000 Equalized 9L 18s
11\144 91.667 41.667 6:5 1.200
9\117 92.308 41.026 5:4 1.250
16\207 92.754 40.580 9:7 1.286
7\90 93.333 40.000 4:3 1.333 Supersoft 9L 18s
19\243 93.827 39.506 11:8 1.375
12\153 94.118 39.216 7:5 1.400
17\216 94.444 38.889 10:7 1.429
5\63 95.238 38.095 3:2 1.500 Soft 9L 18s
18\225 96.000 37.333 11:7 1.571
13\162 96.296 37.037 8:5 1.600
21\261 96.552 36.782 13:8 1.625
8\99 96.970 36.364 5:3 1.667 Semisoft 9L 18s
19\234 97.436 35.897 12:7 1.714
11\135 97.778 35.556 7:4 1.750
14\171 98.246 35.088 9:5 1.800
3\36 100.000 33.333 2:1 2.000 Basic 9L 18s
Scales with tunings softer than this are proper
13\153 101.961 31.373 9:4 2.250
10\117 102.564 30.769 7:3 2.333
17\198 103.030 30.303 12:5 2.400
7\81 103.704 29.630 5:2 2.500 Semihard 9L 18s
18\207 104.348 28.986 13:5 2.600
11\126 104.762 28.571 8:3 2.667
15\171 105.263 28.070 11:4 2.750
4\45 106.667 26.667 3:1 3.000 Hard 9L 18s
13\144 108.333 25.000 10:3 3.333
9\99 109.091 24.242 7:2 3.500
14\153 109.804 23.529 11:3 3.667
5\54 111.111 22.222 4:1 4.000 Superhard 9L 18s
11\117 112.821 20.513 9:2 4.500
6\63 114.286 19.048 5:1 5.000
7\72 116.667 16.667 6:1 6.000
1\9 133.333 0.000 1:0 → ∞ Collapsed 9L 18s
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