7L 13s: 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 ==
Tetracot / enipucrop range.  See also [[7L 6s 7L 13s and 13L 7s]].
Tetracot / enipucrop range.  See also [[7L 6s 7L 13s and 13L 7s]].
 
{{Scale tree}}
{| class="wikitable"
! colspan="8" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 1\7
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 171.429
| |
|-
|
|
|
|
|
|
|
|10\69
|8
|1
|8.000
|173.913
|
|-
| |
| |
| |
| |
| |
| |
| | 9\62
| |
| | 7
| | 1
| | 7.000
| | 174.194
| | ^ Enipucrop
|-
| |
| |
| |
| |
| |
| | 8\55
| |
| |
| | 6
| | 1
| | 6.000
| | 174.545
| |
|-
| |
| |
| |
| |
| |
| |
| | 15\103
| |
| | 11
| | 2
| | 5.500
| | 174.757
| |
|-
| |
| |
| |
| |
| | 7\48
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 175.000
| |
|-
| |
| |
| |
| |
| |
| | 13\89
| |
| |
| | 9
| | 2
| | 4.500
| | 175.281
| | Sesquiquartififths
|-
| |
| |
| |
| | 6\41
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 175.610
| | Monkey
|-
| |
| |
| |
| |
| |
| | 17\116
| |
| |
| | 11
| | 3
| | 3.667
| | 175.862
| | Bunya
|-
| |
| |
| |
| |
| | 11\75
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 176.000
| |
|-
| |
| |
| |
| |
| |
| | 16\109
| |
| |
| | 10
| | 3
| | 3.333
| | 176.147
| | Tetracot
|-
| |
| |
| | 5\34
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 176.471
| |
|-
| |
| |
| |
| |
| | 14\95
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 176.842
| | Modus
|-
| |
| |
| |
| | 9\61
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 177.049
| |
|-
| |
| |
| |
| |
| | 13\88
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 177.273
| | Ponens
|-
| |
| |
| |
| |
| |
| | 17\115
| |
| |
| | 9
| | 4
| | 2.250
| | 177.391
| | Wollemia
|-
| |
| | 4\27
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 177.778
| |
|-
| |
| |
| |
| |
| | 15\101
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 178.218
| |
|-
| |
| |
| |
| | 11\74
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 178.378
| |
|-
| |
| |
| | 7\47
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 178.723
| |
|-
| |
| |
| |
| |
| | 17\114
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 178.947
| |
|-
| |
| |
| |
| | 10\67
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 179.104
| |
|-
| |
| |
| |
| |
| | 13\87
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 179.310
| |
|-
| |
| |
| |
| |
| |
| | 16\107
| |
| |
| | 6
| | 5
| | 1.200
| | 179.439
| |
|-
|
|
|
|
|
|
|19\127
|
|7
|6
|1.167
|179.528
|
|-
|
|
|
|
|
|
|
|22\147
|8
|7
|1.143
|179.591
|
|-
| | 3\20
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 180.000
| |
|}

Revision as of 20:43, 22 September 2024

↖ 6L 12s ↑ 7L 12s 8L 12s ↗
← 6L 13s 7L 13s 8L 13s →
↙ 6L 14s ↓ 7L 14s 8L 14s ↘ 
┌╥┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┐
│║│║││║││║││║││║││║│││
││││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLssLssLssLssLss
ssLssLssLssLssLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\20 to 6\7 (1020.0 ¢ to 1028.6 ¢)
Dark 1\7 to 3\20 (171.4 ¢ to 180.0 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 7L 6s
Sister 13L 7s
Daughters 20L 7s, 7L 20s
Neutralized 14L 6s
2-Flought 27L 13s, 7L 33s
Equal tunings
Equalized (L:s = 1:1) 17\20 (1020.0 ¢)
Supersoft (L:s = 4:3) 57\67 (1020.9 ¢)
Soft (L:s = 3:2) 40\47 (1021.3 ¢)
Semisoft (L:s = 5:3) 63\74 (1021.6 ¢)
Basic (L:s = 2:1) 23\27 (1022.2 ¢)
Semihard (L:s = 5:2) 52\61 (1023.0 ¢)
Hard (L:s = 3:1) 29\34 (1023.5 ¢)
Superhard (L:s = 4:1) 35\41 (1024.4 ¢)
Collapsed (L:s = 1:0) 6\7 (1028.6 ¢)

7L 13s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 13 small steps, repeating every octave. 7L 13s is a grandchild scale of 6L 1s, expanding it by 13 tones. Generators that produce this scale range from 1020 ¢ to 1028.6 ¢, or from 171.4 ¢ to 180 ¢.

Modes

Modes of 7L 13s
UDP Cyclic
order		 Step
pattern
19|0 1 LsLssLssLssLssLssLss
18|1 18 LssLsLssLssLssLssLss
17|2 15 LssLssLsLssLssLssLss
16|3 12 LssLssLssLsLssLssLss
15|4 9 LssLssLssLssLsLssLss
14|5 6 LssLssLssLssLssLsLss
13|6 3 LssLssLssLssLssLssLs
12|7 20 sLsLssLssLssLssLssLs
11|8 17 sLssLsLssLssLssLssLs
10|9 14 sLssLssLsLssLssLssLs
9|10 11 sLssLssLssLsLssLssLs
8|11 8 sLssLssLssLssLsLssLs
7|12 5 sLssLssLssLssLssLsLs
6|13 2 sLssLssLssLssLssLssL
5|14 19 ssLsLssLssLssLssLssL
4|15 16 ssLssLsLssLssLssLssL
3|16 13 ssLssLssLsLssLssLssL
2|17 10 ssLssLssLssLsLssLssL
1|18 7 ssLssLssLssLssLsLssL
0|19 4 ssLssLssLssLssLssLsL

Tuning spectrum

Tetracot / enipucrop range. See also 7L 6s 7L 13s and 13L 7s. Template:Scale tree

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