10L 21s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
mNo edit summary
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
6,211 edits
Replaced no-entries scale tree; stub
Tag: Replaced
Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree==
{| class="wikitable"
{{Scale tree}}
! colspan="9" | generator
{{Stub}}
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\10
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 120.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|11\111
| | 9
| | 1
| | 9.000
| | 118.919
| |
|-
| |
| |
| |
| |
| |
| |
| |
|10\101
|
| | 8
| | 1
| | 8.000
| | 118.812
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|19\192
| | 15
| | 2
| | 7.500
| | 118.750
| |
|-
| |
| |
| |
| |
| |
| |
| |9\91
|
|
| | 7
| | 1
| | 7.000
| | 118.681
| |
|-
| |
| |
| |
| |
| |
| |
| |
|17\172
|
| | 13
| | 2
| | 6.500
| | 118.605
| |
|-
| |
| |
| |
| |
| |
| | 8\81
| |
|
|
| | 6
| | 1
| | 6.000
| | 118.519
| |
|-
| |
| |
| |
| |
| |
| |
| |
|23\233
|
| | 17
| | 3
| | 5.667
| | 118.455
| |
|-
| |
| |
| |
| |
| |
| |
| |15\152
|
|
| | 11
| | 2
| | 5.500
| | 118.421
| |
|-
| |
| |
| |
| |
| |
| |
| |
|22\223
|
| | 16
| | 3
| | 5.333
| | 118.386
| |
|-
| |
| |
| |
| |
| | 7\71
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 118.310
| |
|-
| |
| |
| |
| |
| |
| |
| |20\203
|
|
| | 14
| | 3
| | 4.667
| | 118.227
| |
|-
| |
| |
| |
| |
| |
| | 13\132
| |
|
|
| | 9
| | 2
| | 4.500
| | 118.182
| |
|-
| |
| |
| |
| |
| |
| |
| |19\193
|
|
| | 13
| | 3
| | 4.333
| | 118.135
| |
|-
| |
| |
| |
| | 6\61
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 118.033
| |
|-
| |
| |
| |
| |
| |
| |
| |23\234
|
|
| | 15
| | 4
| | 3.750
| | 117.949
| |
|-
| |
| |
| |
| |
| |
| | 17\173
| |
|
|
| | 11
| | 3
| | 3.667
| | 117.919
| |
|-
| |
| |
| |
| |
| | 11\112
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 117.857
| |
|-
| |
| |
| |
| |
| |
| | 16\163
| |
|
|
| | 10
| | 3
| | 3.333
| | 117.791
| |
|-
| |
| |
| |
| |
| |
| |
| |21\214
|
|
| | 13
| | 4
| | 3.250
| | 117.757
| |
|-
| |
| |
| | 5\51
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 117.647
| |
|-
| |
| |
| |
| |
| |
| | 19\194
| |
|
|
| | 11
| | 4
| | 2.750
| | 117.526
| |
|-
| |
| |
| |
| |
| | 14\143
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 117.483
| |
|-
| |
| |
| |
| |
| |
| | 23\235
| |
|
|
| | 13
| | 5
| | 2.600
| | 117.447
| |
|-
| |
| |
| |
| | 9\92
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 117.391
| |
|-
| |
| |
| |
| |
| |
| | 22\225
| |
|
|
| | 12
| | 5
| | 2.400
| | 117.333
| |
|-
| |
| |
| |
| |
| | 13\133
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 117.293
| |
|-
| |
| |
| |
| |
| |
| | 17\174
| |
|
|
| | 9
| | 4
| | 2.250
| | 117.241
| |
|-
| |
| |
| |
| |
| |
| |
| |21\215
|
|
| | 11
| | 5
| | 2.200
| | 117.209
| |
|-
| |
| | 4\41
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 117.073
| |
|-
| |
| |
| |
| |
| |
| |
| |23\236
|
|
| | 11
| | 6
| | 1.833
| | 116.949
| |
|-
| |
| |
| |
| |
| |
| | 19\195
| |
|
|
| | 9
| | 5
| | 1.800
| | 116.923
| |
|-
| |
| |
| |
| |
| | 15\154
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 116.883
| |
|-
| |
| |
| |
| | 11\113
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 116.814
| |
|-
| |
| |
| |
| |
| | 18\185
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 116.757
| |
|-
| |
| |
| | 7\72
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 116.667
| |
|-
| |
| |
| |
| |
| | 17\175
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 116.571
| |
|-
| |
| |
| |
| | 10\103
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 116.505
| |
|-
| |
| |
| |
| |
| |
| | 23\237
| |
|
|
| | 9
| | 7
| | 1.286
| | 116.456
| |
|-
| |
| |
| |
| |
| | 13\134
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 116.418
| |
|-
| |
| |
| |
| |
| |
| | 16\165
| |
|
|
| | 6
| | 5
| | 1.200
| | 116.364
| |
|-
| |
| |
| |
| |
| |
| |
| |19\196
|
|
| | 7
| | 6
| | 1.167
| | 116.327
| |
|-
| |
| |
| |
| |
| |
| |
| |
|22\227
|
| | 8
| | 7
| | 1.143
| | 116.300
| |
|-
|
|
|
|
|
|
|
|
|25\258
|9
|8
|1.125
|116.279
|
|-
| | 3\31
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 116.129
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:45, 1 March 2024

↖ 9L 20s ↑ 10L 20s 11L 20s ↗
← 9L 21s 10L 21s 11L 21s →
↙ 9L 22s ↓ 10L 22s 11L 22s ↘
Scale structure
Step pattern LssLssLssLssLssLssLssLssLssLsss
sssLssLssLssLssLssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\31 to 1\10 (116.1 ¢ to 120.0 ¢)
Dark 9\10 to 28\31 (1080.0 ¢ to 1083.9 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 1:1 to 4:3 (ultrasoft)
Related MOS scales
Parent 10L 11s
Sister 21L 10s
Daughters 31L 10s, 10L 31s
Neutralized 20L 11s
2-Flought 41L 21s, 10L 52s
Equal tunings
Equalized (L:s = 1:1) 3\31 (116.1 ¢)
Supersoft (L:s = 4:3) 10\103 (116.5 ¢)
Soft (L:s = 3:2) 7\72 (116.7 ¢)
Semisoft (L:s = 5:3) 11\113 (116.8 ¢)
Basic (L:s = 2:1) 4\41 (117.1 ¢)
Semihard (L:s = 5:2) 9\92 (117.4 ¢)
Hard (L:s = 3:1) 5\51 (117.6 ¢)
Superhard (L:s = 4:1) 6\61 (118.0 ¢)
Collapsed (L:s = 1:0) 1\10 (120.0 ¢)
View • Talk • Edit

10L 21s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 21 small steps, repeating every octave. 10L 21s is a great-grandchild scale of 1L 9s, expanding it by 21 tones. Generators that produce this scale range from 116.1 ¢ to 120 ¢, or from 1080 ¢ to 1083.9 ¢.

Modes

Modes of 10L 21s
UDP Cyclic
order		 Step
pattern
30|0 1 LssLssLssLssLssLssLssLssLssLsss
29|1 4 LssLssLssLssLssLssLssLssLsssLss
28|2 7 LssLssLssLssLssLssLssLsssLssLss
27|3 10 LssLssLssLssLssLssLsssLssLssLss
26|4 13 LssLssLssLssLssLsssLssLssLssLss
25|5 16 LssLssLssLssLsssLssLssLssLssLss
24|6 19 LssLssLssLsssLssLssLssLssLssLss
23|7 22 LssLssLsssLssLssLssLssLssLssLss
22|8 25 LssLsssLssLssLssLssLssLssLssLss
21|9 28 LsssLssLssLssLssLssLssLssLssLss
20|10 31 sLssLssLssLssLssLssLssLssLssLss
19|11 3 sLssLssLssLssLssLssLssLssLsssLs
18|12 6 sLssLssLssLssLssLssLssLsssLssLs
17|13 9 sLssLssLssLssLssLssLsssLssLssLs
16|14 12 sLssLssLssLssLssLsssLssLssLssLs
15|15 15 sLssLssLssLssLsssLssLssLssLssLs
14|16 18 sLssLssLssLsssLssLssLssLssLssLs
13|17 21 sLssLssLsssLssLssLssLssLssLssLs
12|18 24 sLssLsssLssLssLssLssLssLssLssLs
11|19 27 sLsssLssLssLssLssLssLssLssLssLs
10|20 30 ssLssLssLssLssLssLssLssLssLssLs
9|21 2 ssLssLssLssLssLssLssLssLssLsssL
8|22 5 ssLssLssLssLssLssLssLssLsssLssL
7|23 8 ssLssLssLssLssLssLssLsssLssLssL
6|24 11 ssLssLssLssLssLssLsssLssLssLssL
5|25 14 ssLssLssLssLssLsssLssLssLssLssL
4|26 17 ssLssLssLssLsssLssLssLssLssLssL
3|27 20 ssLssLssLsssLssLssLssLssLssLssL
2|28 23 ssLssLsssLssLssLssLssLssLssLssL
1|29 26 ssLsssLssLssLssLssLssLssLssLssL
0|30 29 sssLssLssLssLssLssLssLssLssLssL

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 21s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\31 116.129 1083.871 1:1 1.000 Equalized 10L 21s
16\165 116.364 1083.636 6:5 1.200
13\134 116.418 1083.582 5:4 1.250
23\237 116.456 1083.544 9:7 1.286
10\103 116.505 1083.495 4:3 1.333 Supersoft 10L 21s
27\278 116.547 1083.453 11:8 1.375
17\175 116.571 1083.429 7:5 1.400
24\247 116.599 1083.401 10:7 1.429
7\72 116.667 1083.333 3:2 1.500 Soft 10L 21s
25\257 116.732 1083.268 11:7 1.571
18\185 116.757 1083.243 8:5 1.600
29\298 116.779 1083.221 13:8 1.625
11\113 116.814 1083.186 5:3 1.667 Semisoft 10L 21s
26\267 116.854 1083.146 12:7 1.714
15\154 116.883 1083.117 7:4 1.750
19\195 116.923 1083.077 9:5 1.800
4\41 117.073 1082.927 2:1 2.000 Basic 10L 21s
Scales with tunings softer than this are proper
17\174 117.241 1082.759 9:4 2.250
13\133 117.293 1082.707 7:3 2.333
22\225 117.333 1082.667 12:5 2.400
9\92 117.391 1082.609 5:2 2.500 Semihard 10L 21s
23\235 117.447 1082.553 13:5 2.600
14\143 117.483 1082.517 8:3 2.667
19\194 117.526 1082.474 11:4 2.750
5\51 117.647 1082.353 3:1 3.000 Hard 10L 21s
16\163 117.791 1082.209 10:3 3.333
11\112 117.857 1082.143 7:2 3.500
17\173 117.919 1082.081 11:3 3.667
6\61 118.033 1081.967 4:1 4.000 Superhard 10L 21s
13\132 118.182 1081.818 9:2 4.500
7\71 118.310 1081.690 5:1 5.000
8\81 118.519 1081.481 6:1 6.000
1\10 120.000 1080.000 1:0 → ∞ Collapsed 10L 21s
This page is a stub. You can help the Xenharmonic Wiki by expanding it.
Retrieved from "https://en.xen.wiki/index.php?title=10L_21s&oldid=137720"