16L 5s: Difference between revisions

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BudjarnLambeth (talk | contribs)
m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
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}}{{Stub}}
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 3\16
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 225.000
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|28\149
| | 9
| | 1
| | 9.000
| | 225.503
| |
|-
| |
| |
| |
| |
| |
| |
| |
|25\133
|
| | 8
| | 1
| | 8.000
| | 225.564
| |
|-
| |
| |
| |
| |
| |
| |
| |22\117
|
|
| | 7
| | 1
| | 7.000
| | 225.641
| |
|-
| |
| |
| |
| |
| |
| | 19\101
| |
|
|
| | 6
| | 1
| | 6.000
| | 225.743
| |
|-
| |
| |
| |
| |
| | 16\85
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 225.882
| |
|-
| |
| |
| |
| |
| |
| | 29\154
| |
|
|
| | 9
| | 2
| | 4.500
| | 225.974
| |
|-
| |
| |
| |
| | 13\69
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 226.087
| |
|-
| |
| |
| |
| |
| | 23\122
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 226.230
| |
|-
| |
| |
| |
| |
| |
| | 33\175
| |
|
|
| | 10
| | 3
| | 3.333
| | 226.286
| |
|-
| |
| |
| | 10\53
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 226.415
| |
|-
| |
| |
| |
| |
| | 27\143
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 226.573
| |
|-
| |
| |
| |
| | 17\90
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 226.667
| |
|-
| |
| |
| |
| |
| | 24\127
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 226.772
| |
|-
| |
| |
| |
| |
| |
| | 31\164
| |
|
|
| | 9
| | 4
| | 2.250
| | 226.829
| |
|-
| |
| | 7\37
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 227.027
| |
|-
| |
| |
| |
| |
| |
| | 32\169
| |
|
|
| | 9
| | 5
| | 1.800
| | 227.219
| |
|-
| |
| |
| |
| |
| | 25\132
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 227.273
| |
|-
| |
| |
| |
| | 18\95
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 227.368
| |
|-
| |
| |
| |
| |
| | 29\153
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 227.451
| |
|-
| |
| |
| | 11\58
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 227.586
| |
|-
| |
| |
| |
| |
| | 26\137
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 227.737
| |
|-
| |
| |
| |
| | 15\79
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 227.848
| |
|-
| |
| |
| |
| |
| |
| | 34\179
| |
|
|
| | 9
| | 7
| | 1.286
| | 227.933
| |
|-
| |
| |
| |
| |
| | 19\100
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 228.000
| |
|-
| |
| |
| |
| |
| |
| | 23\121
| |
|
|
| | 6
| | 5
| | 1.200
| | 228.099
| |
|-
| |
| |
| |
| |
| |
| |
| |27\142
|
|
| | 7
| | 6
| | 1.167
| | 228.169
| |
|-
| |
| |
| |
| |
| |
| |
| |
|31\163
|
| | 8
| | 7
| | 1.143
| | 228.221
| |
|-
|
|
|
|
|
|
|
|
|35\184
|9
|8
|1.125
|228.261
|
|-
| | 4\21
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 228.571
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:31, 1 March 2024

↖ 15L 4s ↑ 16L 4s 17L 4s ↗
← 15L 5s 16L 5s 17L 5s →
↙ 15L 6s ↓ 16L 6s 17L 6s ↘
┌╥╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬╥╥╥┬┐
│║║║║│║║║│║║║│║║║│║║║││
│││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLsLLLsLLLsLLLs
sLLLsLLLsLLLsLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\21 to 13\16 (971.4 ¢ to 975.0 ¢)
Dark 3\16 to 4\21 (225.0 ¢ to 228.6 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 5L 11s
Sister 5L 16s
Daughters 21L 16s, 16L 21s
Neutralized 11L 10s
2-Flought 37L 5s, 16L 26s
Equal tunings
Equalized (L:s = 1:1) 17\21 (971.4 ¢)
Supersoft (L:s = 4:3) 64\79 (972.2 ¢)
Soft (L:s = 3:2) 47\58 (972.4 ¢)
Semisoft (L:s = 5:3) 77\95 (972.6 ¢)
Basic (L:s = 2:1) 30\37 (973.0 ¢)
Semihard (L:s = 5:2) 73\90 (973.3 ¢)
Hard (L:s = 3:1) 43\53 (973.6 ¢)
Superhard (L:s = 4:1) 56\69 (973.9 ¢)
Collapsed (L:s = 1:0) 13\16 (975.0 ¢)

16L 5s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 5 small steps, repeating every octave. 16L 5s is a great-grandchild scale of 5L 1s, expanding it by 15 tones. Generators that produce this scale range from 971.4 ¢ to 975 ¢, or from 225 ¢ to 228.6 ¢.

Modes

Modes of 16L 5s
UDP Cyclic
order
Step
pattern
20|0 1 LLLLsLLLsLLLsLLLsLLLs
19|1 18 LLLsLLLLsLLLsLLLsLLLs
18|2 14 LLLsLLLsLLLLsLLLsLLLs
17|3 10 LLLsLLLsLLLsLLLLsLLLs
16|4 6 LLLsLLLsLLLsLLLsLLLLs
15|5 2 LLLsLLLsLLLsLLLsLLLsL
14|6 19 LLsLLLLsLLLsLLLsLLLsL
13|7 15 LLsLLLsLLLLsLLLsLLLsL
12|8 11 LLsLLLsLLLsLLLLsLLLsL
11|9 7 LLsLLLsLLLsLLLsLLLLsL
10|10 3 LLsLLLsLLLsLLLsLLLsLL
9|11 20 LsLLLLsLLLsLLLsLLLsLL
8|12 16 LsLLLsLLLLsLLLsLLLsLL
7|13 12 LsLLLsLLLsLLLLsLLLsLL
6|14 8 LsLLLsLLLsLLLsLLLLsLL
5|15 4 LsLLLsLLLsLLLsLLLsLLL
4|16 21 sLLLLsLLLsLLLsLLLsLLL
3|17 17 sLLLsLLLLsLLLsLLLsLLL
2|18 13 sLLLsLLLsLLLLsLLLsLLL
1|19 9 sLLLsLLLsLLLsLLLLsLLL
0|20 5 sLLLsLLLsLLLsLLLsLLLL

Scale tree

Template:Scale tree

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