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 ¢)
View • Talk • Edit

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 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 6L 17s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
19\23 991.304 208.696 1:1 1.000 Equalized 6L 17s
100\121 991.736 208.264 6:5 1.200
81\98 991.837 208.163 5:4 1.250
143\173 991.908 208.092 9:7 1.286
62\75 992.000 208.000 4:3 1.333 Supersoft 6L 17s
167\202 992.079 207.921 11:8 1.375
105\127 992.126 207.874 7:5 1.400
148\179 992.179 207.821 10:7 1.429
43\52 992.308 207.692 3:2 1.500 Soft 6L 17s
153\185 992.432 207.568 11:7 1.571
110\133 992.481 207.519 8:5 1.600
177\214 992.523 207.477 13:8 1.625
67\81 992.593 207.407 5:3 1.667 Semisoft 6L 17s
158\191 992.670 207.330 12:7 1.714
91\110 992.727 207.273 7:4 1.750
115\139 992.806 207.194 9:5 1.800
24\29 993.103 206.897 2:1 2.000 Basic 6L 17s
Scales with tunings softer than this are proper
101\122 993.443 206.557 9:4 2.250
77\93 993.548 206.452 7:3 2.333
130\157 993.631 206.369 12:5 2.400
53\64 993.750 206.250 5:2 2.500 Semihard 6L 17s
135\163 993.865 206.135 13:5 2.600
82\99 993.939 206.061 8:3 2.667
111\134 994.030 205.970 11:4 2.750
29\35 994.286 205.714 3:1 3.000 Hard 6L 17s
92\111 994.595 205.405 10:3 3.333
63\76 994.737 205.263 7:2 3.500
97\117 994.872 205.128 11:3 3.667
34\41 995.122 204.878 4:1 4.000 Superhard 6L 17s
73\88 995.455 204.545 9:2 4.500
39\47 995.745 204.255 5:1 5.000
44\53 996.226 203.774 6:1 6.000
5\6 1000.000 200.000 1:0 → ∞ Collapsed 6L 17s
Retrieved from "https://en.xen.wiki/index.php?title=6L_17s&oldid=156146"