9L 7s: Difference between revisions

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m Replaced content with "{{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum == {{Scale tree}}"
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{{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Tuning spectrum ==
{| class="wikitable"
{{Scale tree}}
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 4\9
| |
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 533.333
| |
|-
|
|
|
|
|
|
|
|
|39\88
|9
|1
|9.000
|531.818
|
|-
| |
| |
| |
| |
| |
| |
| |
| | 35\79
| |
| | 8
| | 1
| | 8.000
| | 531.646
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\70
| |
| |
| | 7
| | 1
| | 7.000
| | 531.429
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 58\131
| |
| | 13
| | 2
| | 6.500
| | 531.298
| |
|-
| |
| |
| |
| |
| |
| | 27\61
| |
| |
| |
| | 6
| | 1
| | 6.000
| | 531.148
| |
|-
| |
| |
| |
| |
| |
| |
| | 50\113
| |
| |
| | 11
| | 2
| | 5.500
| | 530.973
| |
|-
| |
| |
| |
| |
| | 23\52
| |
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 530.769
| |
|-
| |
| |
| |
| |
| |
| | 42\95
| |
| |
| |
| | 9
| | 2
| | 4.500
| | 530.526
| |
|-
| |
| |
| |
| | 19\43
| |
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 530.233
| |
|-
| |
| |
| |
| |
| |
| | 53\120
| |
| |
| |
| | 11
| | 3
| | 3.667
| | 530.000
| | Amavil is around here
|-
| |
| |
| |
| |
| | 34\77
| |
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 529.870
| |
|-
| |
| |
| |
| |
| |
| | 49\111
| |
| |
| |
| | 10
| | 3
| | 3.333
| | 529.730
| | Mabila (5-limit) is around here
|-
| |
| |
| | 15\34
| |
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 529.412
| |
|-
| |
| |
| |
| |
| |
| | 56\127
| |
| |
| |
| | 11
| | 4
| | 2.750
| | 529.134
| |
|-
| |
| |
| |
| |
| | 41\93
| |
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 529.032
| |
|-
| |
| |
| |
| | 26\59
| |
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 528.814
| |
|-
| |
| |
| |
| |
| | 37\84
| |
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 528.571
| |
|-
| |
| |
| |
| |
| |
| | 48\109
| |
| |
| |
| | 9
| | 4
| | 2.250
| | 528.440
| |
|-
| |
| | 11\25
| |
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 528.000
| |
|-
| |
| |
| |
| |
| |
| | 51\116
| |
| |
| |
| | 9
| | 5
| | 1.800
| | 527.586
| |
|-
| |
| |
| |
| |
| | 40\91
| |
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 527.473
| |
|-
| |
| |
| |
| | 29\66
| |
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 527.273
| |
|-
| |
| |
| |
| |
| | 47\107
| |
| |
| |
| |
| | 8
| | 5
| | 1.600
| | 527.103
| |
|-
| |
| |
| | 18\41
| |
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 526.829
| |
|-
| |
| |
| |
| |
| | 43\98
| |
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 526.531
| | Trismegistus is around here
|-
| |
| |
| |
| | 25\57
| |
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 526.316
| |
|-
| |
| |
| |
| |
| |
| | 57\130
| |
| |
| |
| | 9
| | 7
| | 1.286
| | 526.154
| | Armodue is around here
|-
| |
| |
| |
| |
| | 32\73
| |
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 526.027
| |
|-
| |
| |
| |
| |
| |
| | 39\89
| |
| |
| |
| | 6
| | 5
| | 1.200
| | 525.843
| |
|-
| |
| |
| |
| |
| |
| |
| | 46\105
| |
| |
| | 7
| | 6
| | 1.167
| | 525.714
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 53\121
| |
| | 8
| | 7
| | 1.143
| | 525.620
| |
|-
|
|
|
|
|
|
|
|
|60\137
|9
|8
|1.125
|525.574
|
|-
| | 7\16
| |
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 525.000
| |
|}

Revision as of 20:48, 22 September 2024

↖ 8L 6s ↑ 9L 6s 10L 6s ↗
← 8L 7s 9L 7s 10L 7s →
↙ 8L 8s ↓ 9L 8s 10L 8s ↘
Scale structure
Step pattern LLsLsLsLLsLsLsLs
sLsLsLsLLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 7\16 to 4\9 (525.0 ¢ to 533.3 ¢)
Dark 5\9 to 9\16 (666.7 ¢ to 675.0 ¢)
TAMNAMS information
Related to 7L 2s (armotonic)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 7L 2s
Sister 7L 9s
Daughters 16L 9s, 9L 16s
Neutralized 2L 14s
2-Flought 25L 7s, 9L 23s
Equal tunings
Equalized (L:s = 1:1) 7\16 (525.0 ¢)
Supersoft (L:s = 4:3) 25\57 (526.3 ¢)
Soft (L:s = 3:2) 18\41 (526.8 ¢)
Semisoft (L:s = 5:3) 29\66 (527.3 ¢)
Basic (L:s = 2:1) 11\25 (528.0 ¢)
Semihard (L:s = 5:2) 26\59 (528.8 ¢)
Hard (L:s = 3:1) 15\34 (529.4 ¢)
Superhard (L:s = 4:1) 19\43 (530.2 ¢)
Collapsed (L:s = 1:0) 4\9 (533.3 ¢)
View • Talk • Edit

9L 7s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 9 large steps and 7 small steps, repeating every octave. 9L 7s is a child scale of 7L 2s, expanding it by 7 tones. Generators that produce this scale range from 525 ¢ to 533.3 ¢, or from 666.7 ¢ to 675 ¢.

Modes

Modes of 9L 7s
UDP Cyclic
order		 Step
pattern
15|0 1 LLsLsLsLLsLsLsLs
14|1 8 LLsLsLsLsLLsLsLs
13|2 15 LsLLsLsLsLLsLsLs
12|3 6 LsLLsLsLsLsLLsLs
11|4 13 LsLsLLsLsLsLLsLs
10|5 4 LsLsLLsLsLsLsLLs
9|6 11 LsLsLsLLsLsLsLLs
8|7 2 LsLsLsLLsLsLsLsL
7|8 9 LsLsLsLsLLsLsLsL
6|9 16 sLLsLsLsLLsLsLsL
5|10 7 sLLsLsLsLsLLsLsL
4|11 14 sLsLLsLsLsLLsLsL
3|12 5 sLsLLsLsLsLsLLsL
2|13 12 sLsLsLLsLsLsLLsL
1|14 3 sLsLsLLsLsLsLsLL
0|15 10 sLsLsLsLLsLsLsLL

Tuning spectrum

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 7s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
7\16 525.000 675.000 1:1 1.000 Equalized 9L 7s
39\89 525.843 674.157 6:5 1.200
32\73 526.027 673.973 5:4 1.250
57\130 526.154 673.846 9:7 1.286
25\57 526.316 673.684 4:3 1.333 Supersoft 9L 7s
68\155 526.452 673.548 11:8 1.375
43\98 526.531 673.469 7:5 1.400
61\139 526.619 673.381 10:7 1.429
18\41 526.829 673.171 3:2 1.500 Soft 9L 7s
65\148 527.027 672.973 11:7 1.571
47\107 527.103 672.897 8:5 1.600
76\173 527.168 672.832 13:8 1.625
29\66 527.273 672.727 5:3 1.667 Semisoft 9L 7s
69\157 527.389 672.611 12:7 1.714
40\91 527.473 672.527 7:4 1.750
51\116 527.586 672.414 9:5 1.800
11\25 528.000 672.000 2:1 2.000 Basic 9L 7s
Scales with tunings softer than this are proper
48\109 528.440 671.560 9:4 2.250
37\84 528.571 671.429 7:3 2.333
63\143 528.671 671.329 12:5 2.400
26\59 528.814 671.186 5:2 2.500 Semihard 9L 7s
67\152 528.947 671.053 13:5 2.600
41\93 529.032 670.968 8:3 2.667
56\127 529.134 670.866 11:4 2.750
15\34 529.412 670.588 3:1 3.000 Hard 9L 7s
49\111 529.730 670.270 10:3 3.333
34\77 529.870 670.130 7:2 3.500
53\120 530.000 670.000 11:3 3.667
19\43 530.233 669.767 4:1 4.000 Superhard 9L 7s
42\95 530.526 669.474 9:2 4.500
23\52 530.769 669.231 5:1 5.000
27\61 531.148 668.852 6:1 6.000
4\9 533.333 666.667 1:0 → ∞ Collapsed 9L 7s
Retrieved from "https://en.xen.wiki/index.php?title=9L_7s&oldid=156147"