10L 9s: Difference between revisions

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Replaced scale tree
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== Scale tree ==
== Scale tree ==
''Note: the following table uses the chroma-negative generator.''
{{Scale tree}}
{| class="wikitable"
|-
| | 2/19
| |
| |
| |
| |
| | 126.316
|-
| |
| |
| |
| |
| | 9/86
| | 125.581
|-
| |
| |
| |
| | 7/67
| |
| | 125.373
|-
| |
| |
| |
| |
| | 12/115
| | 125.217
|-
| |
| |
| | 5/48
| |
| |
| | 125
|-
| |
| |
| |
| |
| |
| | 124.857
|-
| |
| |
| |
| |
| | 13/125
| | 124.8
|-
| |
| |
| |
| |
| |
| | 124.766
|-
| |
| |
| |
| | 8/77
| |
| | 124.675
|-
| |
| |
| |
| |
| |
| | 124.559
|-
| |
| |
| |
| |
| | 11/106
| | 124.528
|-
| |
| | 3/29
| |
| |
| |
| | 124.138
|-
| |
| |
| |
| |
| | 10/97
| | 123.711
|-
| |
| |
| |
| | 7/68
| |
| | 123.529
|-
| |
| |
| |
| |
| |
| | 123.411
|-
| |
| |
| |
| |
| | 11/107
| | 123.3645
|-
| |
| |
| |
| |
| |
| | 123.3165
|-
| |
| |
| | 4/39
| |
| |
| | 123.077
|-
| |
| |
| |
| |
| |
| | 122.969
|-
| |
| |
| |
| |
| | 9/88
| | 122.727
|-
| |
| |
| |
| | 5/49
| |
| | 122.449
|-
| |
| |
| |
| |
| | 6/59
| | 122.034
|-
| | 1/10
| |
| |
| |
| |
| | 120
|}

Revision as of 19:59, 29 February 2024

↖ 9L 8s ↑ 10L 8s 11L 8s ↗
← 9L 9s 10L 9s 11L 9s →
↙ 9L 10s ↓ 10L 10s 11L 10s ↘
Scale structure
Step pattern LLsLsLsLsLsLsLsLsLs
sLsLsLsLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\19 to 9\10 (1073.7 ¢ to 1080.0 ¢)
Dark 1\10 to 2\19 (120.0 ¢ to 126.3 ¢)
TAMNAMS information
Related to 9L 1s (sinatonic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 9L 1s
Sister 9L 10s
Daughters 19L 10s, 10L 19s
Neutralized 1L 18s
2-Flought 29L 9s, 10L 28s
Equal tunings
Equalized (L:s = 1:1) 17\19 (1073.7 ¢)
Supersoft (L:s = 4:3) 60\67 (1074.6 ¢)
Soft (L:s = 3:2) 43\48 (1075.0 ¢)
Semisoft (L:s = 5:3) 69\77 (1075.3 ¢)
Basic (L:s = 2:1) 26\29 (1075.9 ¢)
Semihard (L:s = 5:2) 61\68 (1076.5 ¢)
Hard (L:s = 3:1) 35\39 (1076.9 ¢)
Superhard (L:s = 4:1) 44\49 (1077.6 ¢)
Collapsed (L:s = 1:0) 9\10 (1080.0 ¢)
View • Talk • Edit

10L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 9 small steps, repeating every octave. 10L 9s is a child scale of 9L 1s, expanding it by 9 tones. Generators that produce this scale range from 1073.7 ¢ to 1080 ¢, or from 120 ¢ to 126.3 ¢. The 10L 9s MOS scale divides its large steps 2-1-1-1-1-1-1-1-1 like the 10edo nonatonic scale. Its 'trienthird' generator falls in the narrow range of 1/10edo (120) to 2/19edo (126.316 cents).

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 10L 9s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
17\19 1073.684 126.316 1:1 1.000 Equalized 10L 9s
94\105 1074.286 125.714 6:5 1.200
77\86 1074.419 125.581 5:4 1.250
137\153 1074.510 125.490 9:7 1.286
60\67 1074.627 125.373 4:3 1.333 Supersoft 10L 9s
163\182 1074.725 125.275 11:8 1.375
103\115 1074.783 125.217 7:5 1.400
146\163 1074.847 125.153 10:7 1.429
43\48 1075.000 125.000 3:2 1.500 Soft 10L 9s
155\173 1075.145 124.855 11:7 1.571
112\125 1075.200 124.800 8:5 1.600
181\202 1075.248 124.752 13:8 1.625
69\77 1075.325 124.675 5:3 1.667 Semisoft 10L 9s
164\183 1075.410 124.590 12:7 1.714
95\106 1075.472 124.528 7:4 1.750
121\135 1075.556 124.444 9:5 1.800
26\29 1075.862 124.138 2:1 2.000 Basic 10L 9s
Scales with tunings softer than this are proper
113\126 1076.190 123.810 9:4 2.250
87\97 1076.289 123.711 7:3 2.333
148\165 1076.364 123.636 12:5 2.400
61\68 1076.471 123.529 5:2 2.500 Semihard 10L 9s
157\175 1076.571 123.429 13:5 2.600
96\107 1076.636 123.364 8:3 2.667
131\146 1076.712 123.288 11:4 2.750
35\39 1076.923 123.077 3:1 3.000 Hard 10L 9s
114\127 1077.165 122.835 10:3 3.333
79\88 1077.273 122.727 7:2 3.500
123\137 1077.372 122.628 11:3 3.667
44\49 1077.551 122.449 4:1 4.000 Superhard 10L 9s
97\108 1077.778 122.222 9:2 4.500
53\59 1077.966 122.034 5:1 5.000
62\69 1078.261 121.739 6:1 6.000
9\10 1080.000 120.000 1:0 → ∞ Collapsed 10L 9s
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