15L 1s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
Mos intro
Ganaram inukshuk (talk | contribs)
Scale tree: Replaced and populated scale tree
Line 12: Line 12:


== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{Scale tree|Comments=8/3: [[Valentine]];
! colspan="9" | generator
9/5: [[Tertia]] / [[Tertiaseptal]];}}
! L
! s
! L/s
! gen (cents)
! comment
|-
| 1\15
|
|
|
|
|
|
|
|
| 1
| 0
|
| 80.000
|
|-
|
|
|
|
|
|
|
|
| 9\136
| 9
| 1
| 9.000
| 79.412
|
|-
|
|
|
|
|
|
|
| 8\121
|
| 8
| 1
| 8.000
| 79.339
|
|-
|
|
|
|
|
|
| 7\106
|
|
| 7
| 1
| 7.000
| 79.245
|
|-
|
|
|
|
|
| 6\91
|
|
|
| 6
| 1
| 6.000
| 79.121
|
|-
|
|
|
|
| 5\76
|
|
|
|
| 5
| 1
| 5.000
| 78.947
|
|-
|
|
|
| 4\61
|
|
|
|
|
| 4
| 1
| 4.000
| 78.689
|
|-
|
|
|
|
| 7\107
|
|
|
|
| 7
| 2
| 3.500
| 78.505
|
|-
|
|
| 3\46
|
|
|
|
|
|
| 3
| 1
| 3.000
| 78.261
|
|-
|
|
|
|
| 8\123
|
|
|
|
| 8
| 3
| 2.667
| 78.049
|
|-
|
|
|
| 5\77
|
|
|
|
|
| 5
| 2
| 2.500
| 77.922
|
|-
|
|
|
|
| 7\108
|
|
|
|
| 7
| 3
| 2.333
| 77.778
| Valentine is around here
|-
|
| 2\31
|
|
|
|
|
|
|
| 2
| 1
| 2.000
| 77.419
|
|-
|
|
|
|
| 7\109
|
|
|
|
| 7
| 4
| 1.750
| 77.064
| Tertia / Tertiaseptal are around here
|-
|
|
|
| 5\78
|
|
|
|
|
| 5
| 3
| 1.667
| 76.923
|
|-
|
|
|
|
| 8\125
|
|
|
|
| 8
| 5
| 1.600
| 76.800
|
|-
|
|
| 3\47
|
|
|
|
|
|
| 3
| 2
| 1.500
| 76.596
|
|-
|
|
|
|
| 7\110
|
|
|
|
| 7
| 5
| 1.400
| 76.364
|
|-
|
|
|
| 4\63
|
|
|
|
|
| 4
| 3
| 1.333
| 76.190
|
|-
|
|
|
|
| 5\79
|
|
|
|
| 5
| 4
| 1.250
| 75.949
|
|-
|
|
|
|
|
| 6\95
|
|
|
| 6
| 5
| 1.200
| 75.789
|
|-
|
|
|
|
|
|
| 7\111
|
|
| 7
| 6
| 1.167
| 75.676
|
|-
|
|
|
|
|
|
|
| 8\127
|
| 8
| 7
| 1.143
| 75.591
|
|-
|
|
|
|
|
|
|
|
| 9\143
| 9
| 8
| 1.125
| 75.5245
|
|-
| 1\16
|
|
|
|
|
|
|
|
| 1
| 1
| 1.000
| 75.000
|
|}

Revision as of 07:37, 1 March 2024

← 14L 1s 15L 1s 16L 1s →
↙ 14L 2s ↓ 15L 2s 16L 2s ↘
┌╥╥╥╥╥╥╥╥╥╥╥╥╥╥╥┬┐
│║║║║║║║║║║║║║║║││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLLLLLLLLLLs
sLLLLLLLLLLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\16 to 1\15 (75.0 ¢ to 80.0 ¢)
Dark 14\15 to 15\16 (1120.0 ¢ to 1125.0 ¢)
TAMNAMS information
Related to 1L 9s (antisinatonic)
With tunings 6:1 to 7:1
Related MOS scales
Parent 1L 14s
Sister 1L 15s
Daughters 16L 15s, 15L 16s
Neutralized 14L 2s
2-Flought 31L 1s, 15L 17s
Equal tunings
Equalized (L:s = 1:1) 1\16 (75.0 ¢)
Supersoft (L:s = 4:3) 4\63 (76.2 ¢)
Soft (L:s = 3:2) 3\47 (76.6 ¢)
Semisoft (L:s = 5:3) 5\78 (76.9 ¢)
Basic (L:s = 2:1) 2\31 (77.4 ¢)
Semihard (L:s = 5:2) 5\77 (77.9 ¢)
Hard (L:s = 3:1) 3\46 (78.3 ¢)
Superhard (L:s = 4:1) 4\61 (78.7 ¢)
Collapsed (L:s = 1:0) 1\15 (80.0 ¢)

15L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 15 large steps and 1 small step, repeating every octave. 15L 1s is related to 1L 9s, expanding it by 6 tones. Generators that produce this scale range from 75 ¢ to 80 ¢, or from 1120 ¢ to 1125 ¢. Scales of this form are always proper because there is only one small step. It is notable for corresponding to valentine[16].

Scale tree

Template:Scale tree