6L 17s: Difference between revisions

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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="8" | generator
 
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\6
| |
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 200.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|11\65
| | 8
| | 1
| | 8.000
| | 203.077
| |
|-
| |
| |
| |
| |
| |
| |
| |10\59
|
| | 7
| | 1
| | 7.000
| | 203.390
| |
|-
| |
| |
| |
| |
| |
| |
| |
|19\112
| | 13
| | 2
| | 6.500
| | 203.571
| |
|-
| |
| |
| |
| |
| |
| | 9\53
| |
|
| | 6
| | 1
| | 6.000
| | 203.774
| |
|-
| |
| |
| |
| |
| |
| |
| |17\100
|
| | 11
| | 2
| | 5.500
| | 204.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|25\147
| | 16
| | 3
| | 5.333
| | 204.082
| |Baldy is optimal around here
|-
| |
| |
| |
| |
| | 8\47
| |
| |
|
| | 5
| | 1
| | 5.000
| | 204.255
| |
|-
| |
| |
| |
| |
| |
| |
| |23\135
|
| | 14
| | 3
| | 4.667
| | 204.444
| |
|-
| |
| |
| |
| |
| |
| | 15\88
| |
|
| | 9
| | 2
| | 4.500
| | 204.545
| |
|-
| |
| |
| |
| |
| |
| |
| |22\129
|
| | 13
| | 3
| | 4.333
| | 204.651
| |
|-
| |
| |
| |
| | 7\41
| |
| |
| |
|
| | 4
| | 1
| | 4.000
| | 204.878
| |Quadrimage
|-
| |
| |
| |
| |
| |
| | 20\117
| |
|
| | 11
| | 3
| | 3.667
| | 205.128
| |
|-
| |
| |
| |
| |
| | 13\76
| |
| |
|
| | 7
| | 2
| | 3.500
| | 205.263
| |
|-
| |
| |
| |
| |
| |
| | 19\111
| |
|
| | 10
| | 3
| | 3.333
| | 205.405
| |
|-
| |
| |
| |
| |
| |
| |
| |25\146
|
| | 13
| | 4
| | 3.250
| | 205.479
| |
|-
| |
| |
| | 6\35
| |
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 205.714
| |
|-
| |
| |
| |
| |
| |
| | 23\134
| |
|
| | 11
| | 4
| | 2.750
| | 205.970
| |
|-
| |
| |
| |
| |
| | 17\99
| |
| |
|
| | 8
| | 3
| | 2.667
| | 206.061
| |
|-
| |
| |
| |
| | 11\64
| |
| |
| |
|
| | 5
| | 2
| | 2.500
| | 206.250
| |
|-
| |
| |
| |
| |
| | 16\93
| |
| |
|
| | 7
| | 3
| | 2.333
| | 206.452
| |
|-
| |
| |
| |
| |
| |
| | 21\122
| |
|
| | 9
| | 4
| | 2.250
| | 206.557
| |
|-
| |
| | 5\29
| |
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 206.897
| |
|-
| |
| |
| |
| |
| |
| | 24\139
| |
|
| | 9
| | 5
| | 1.800
| | 207.194
| |
|-
| |
| |
| |
| |
| | 19\110
| |
| |
|
| | 7
| | 4
| | 1.750
| | 207.273
| |
|-
| |
| |
| |
| | 14\81
| |
| |
| |
|
| | 5
| | 3
| | 1.667
| | 207.407
| |
|-
| |
| |
| |
| |
| | 23\133
| |
| |
|
| | 8
| | 5
| | 1.600
| | 207.519
| |
|-
| |
| |
| | 9\52
| |
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 207.692
| |
|-
| |
| |
| |
| |
| | 22\127
| |
| |
|
| | 7
| | 5
| | 1.400
| | 207.874
| |
|-
| |
| |
| |
| | 13\75
| |
| |
| |
|
| | 4
| | 3
| | 1.333
| | 208.000
| |
|-
| |
| |
| |
| |
| | 17\98
| |
| |
|
| | 5
| | 4
| | 1.250
| | 208.163
| |
|-
| |
| |
| |
| |
| |
| | 21\121
| |
|
| | 6
| | 5
| | 1.200
| | 208.264
| |
|-
| |
| |
| |
| |
| |
| |
| |25\144
|
| | 7
| | 6
| | 1.167
| | 208.333
| |
|-
|
|
|
|
|
|
|
|28\167
|8
|7
|1.143
|208.198
|
|-
| | 4\23
| |
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 208.696
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 20:48, 22 September 2024

↖ 5L 16s ↑ 6L 16s 7L 16s ↗
← 5L 17s 6L 17s 7L 17s →
↙ 5L 18s ↓ 6L 18s 7L 18s ↘ 
┌╥┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬╥┬┬┬┐
│║││║│││║│││║│││║│││║││││
│││││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLsssLsssLsssLsssLsss
sssLsssLsssLsssLsssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 19\23 to 5\6 (991.3 ¢ to 1000.0 ¢)
Dark 1\6 to 4\23 (200.0 ¢ to 208.7 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 1:1 to 4:3 (ultrasoft)
Related MOS scales
Parent 6L 11s
Sister 17L 6s
Daughters 23L 6s, 6L 23s
Neutralized 12L 11s
2-Flought 29L 17s, 6L 40s
Equal tunings
Equalized (L:s = 1:1) 19\23 (991.3 ¢)
Supersoft (L:s = 4:3) 62\75 (992.0 ¢)
Soft (L:s = 3:2) 43\52 (992.3 ¢)
Semisoft (L:s = 5:3) 67\81 (992.6 ¢)
Basic (L:s = 2:1) 24\29 (993.1 ¢)
Semihard (L:s = 5:2) 53\64 (993.8 ¢)
Hard (L:s = 3:1) 29\35 (994.3 ¢)
Superhard (L:s = 4:1) 34\41 (995.1 ¢)
Collapsed (L:s = 1:0) 5\6 (1000.0 ¢)

6L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 17 small steps, repeating every octave. 6L 17s is a great-grandchild scale of 5L 1s, expanding it by 17 tones. Generators that produce this scale range from 991.3 ¢ to 1000 ¢, or from 200 ¢ to 208.7 ¢.

Modes

Modes of 6L 17s
UDP Cyclic
order		 Step
pattern
22|0 1 LssLsssLsssLsssLsssLsss
21|1 20 LsssLssLsssLsssLsssLsss
20|2 16 LsssLsssLssLsssLsssLsss
19|3 12 LsssLsssLsssLssLsssLsss
18|4 8 LsssLsssLsssLsssLssLsss
17|5 4 LsssLsssLsssLsssLsssLss
16|6 23 sLssLsssLsssLsssLsssLss
15|7 19 sLsssLssLsssLsssLsssLss
14|8 15 sLsssLsssLssLsssLsssLss
13|9 11 sLsssLsssLsssLssLsssLss
12|10 7 sLsssLsssLsssLsssLssLss
11|11 3 sLsssLsssLsssLsssLsssLs
10|12 22 ssLssLsssLsssLsssLsssLs
9|13 18 ssLsssLssLsssLsssLsssLs
8|14 14 ssLsssLsssLssLsssLsssLs
7|15 10 ssLsssLsssLsssLssLsssLs
6|16 6 ssLsssLsssLsssLsssLssLs
5|17 2 ssLsssLsssLsssLsssLsssL
4|18 21 sssLssLsssLsssLsssLsssL
3|19 17 sssLsssLssLsssLsssLsssL
2|20 13 sssLsssLsssLssLsssLsssL
1|21 9 sssLsssLsssLsssLssLsssL
0|22 5 sssLsssLsssLsssLsssLssL

Tuning spectrum

Template:Scale tree

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