8L 2s: Difference between revisions

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'''8L 2s''' is a tiling of sLLLL at the half octave.
'''8L 2s''' is a tiling of LLLLs at the half octave.


{| class="wikitable"
== Modes ==
* 8|0(2) LLLLsLLLLs
* 6|2(2) LLLsLLLLsL
* 4|4(2) LLsLLLLsLL
* 2|6(2) LsLLLLsLLL
* 0|8(2) sLLLLsLLLL
 
== Scale tree ==
Generator ranges:
* Chroma-positive generator: 120 cents (1\10) to 150 cents (1\8)
* Chroma-negative generator: 450 cents (3\8) to 480 cents (4\10)
 
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 1\10 || || || || || || 120.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 6\58 || 124.138 || 6 || 5 || 1.200 || [[Quadrasruta]] (sagugu&bizozogu)
|-
| || || || || 5\48 || || 125.000 || 5 || 4 || 1.250 ||
|-
| || || || || || 9\86 || 125.581 || 9 || 7 || 1.286 ||
|-
| || || || 4\38 || || || 126.316 || 4 || 3 || 1.333 ||
|-
| || || || || || 11\104 || 126.923 || 11 || 8 || 1.375 ||
|-
| || || || || 7\66 || || 127.273 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\94 || 127.660 || 10 || 7 || 1.429 ||
|-
| || || 3\28 || || || || 128.571 || 3 || 2 || 1.500 ||
|-
|-
| | 1\10
| || || || || || 11\102 || 129.412 || 11 || 7 || 1.571 ||  
| |  
| |  
| |  
| |  
| |  
| | 120
| |  
|-
|-
| |  
| || || || || 8\74 || || 129.730 || 8 || 5 || 1.600 ||  
| |  
| |  
| |  
| |  
| | 6\58
| | 124.138
| |  
|-
|-
| |  
| || || || || || 13\120 || 130.000 || 13 || 8 || 1.625 || Golden biggie decatonic (129.9254¢)
| |  
| |  
| |  
| | 5\48
| |  
| | 125
| |  
|-
|-
| |  
| || || || 5\46 || || || 130.435 || 5 || 3 || 1.667 ||  
| |  
| |  
| | 4\38
| |  
| |  
| | 126.316
| |  
|-
|-
| |  
| || || || || || 12\110 || 130.909 || 12 || 7 || 1.714 ||  
| |  
| | 3\28
| |  
| |  
| |  
| | 128.571
| |  
|-
|-
| |  
| || || || || 7\64 || || 131.250 || 7 || 4 || 1.750 ||  
| |  
| |  
| |  
| |  
| |  
| | 129.405
| |  
|-
|-
| |  
| || || || || || 9\82 || 131.707 || 9 || 5 || 1.800 ||  
| |  
| |  
| |  
| | 8\74
| |  
| | 129.730
| |  
|-
|-
| |  
| || 2\18 || || || || || 133.333 || 2 || 1 || 2.000 || Basic dimanic <br>[[Octokaidecal]] is around here
| |  
| |  
| |  
| |  
| | 13\120
| | 130
| | Golden Biggie decatonic
|-
|-
| |  
| || || || || || 9\80 || 135.000 || 9 || 4 || 2.250 ||  
| |  
| |  
| | 5\46
| |  
| |  
| | 130.435
| |  
|-
|-
| |  
| || || || || 7\62 || || 135.484 || 7 || 3 || 2.333 ||  
| |  
| |  
| |  
| |  
| |  
| | 131.08
| |  
|-
|-
| |  
| || || || || || 12\106 || 135.849 || 12 || 5 || 2.400 ||  
| |  
| |  
| |  
| | 7\64
| |  
| | 131.25
| |  
|-
|-
| |  
| || || || 5\44 || || || 136.364 || 5 || 2 || 2.500 ||  
| | 2\18
| |  
| |  
| |  
| |  
| | 133.333
| | Octokaidecal is around here
|-
|-
| |  
| || || || || || 13\114 || 136.842 || 13 || 5 || 2.600 || Unmamed golden tuning (136.9248¢)
| |  
| |  
| |  
| | 7\62
| |  
| | 135.484
| |  
|-
|-
| |  
| || || || || 8\70 || || 137.143 || 8 || 3 || 2.667 ||  
| |  
| |  
| | 5\44
| |  
| |  
| | 136.363
| |  
|-
|-
| |  
| || || || || || 11\96 || 137.500 || 11 || 4 || 2.750 ||  
| |  
| |  
| |  
| |  
| | 13\114
| | 136.842
| |  
|-
|-
| |  
| || || 3\26 || || || || 138.462 || 3 || 1 || 3.000 ||  
| |  
| |  
| |  
| | 8\70
| |  
| | 137.143
| |  
|-
|-
| |  
| || || || || || 10\86 || 139.535 || 10 || 3 || 3.333 ||  
| |  
| |  
| |  
| |  
| |  
| | 137.366
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
|-
| |  
| || || || || 7\60 || || 140.000 || 7 || 2 || 3.500 || [[Fifives]]
| |  
| | 3\26
| |  
| |  
| |  
| | 138.462
| |  
|-
|-
| |  
| || || || || || 11\94 || 140.426 || 11 || 3 || 3.667 ||  
| |  
| |  
| |  
| |  
| |  
| | 138.943
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
|-
| |  
| || || || 4\34 || || || 141.176 || 4 || 1 || 4.000 ||  
| |  
| |  
| |  
| | 7\60
| |  
| | 140
| |  
|-
|-
| |  
| || || || || || 9\76 || 142.105 || 9 || 2 || 4.500 ||  
| |  
| |  
| | 4\34
| |  
| |  
| | 141.176
| |  
|-
|-
| |  
| || || || || 5\42 || || 142.857 || 5 || 1 || 5.000 ||  
| |  
| |  
| |
| | 5\42
| |  
| | 142.857
| |  
|-
|-
| |  
| || || || || || 6\50 || 144.000 || 6 || 1 || 6.000 ||  
| |  
| |  
| |  
| |
| | 6\50
| | 144
| |  
|-
|-
| | 1\8
| 1\8 || || || || || || 150.000 || 1 || 0 || → inf ||  
| |  
| |  
| |  
| |  
| |  
| | 150
| |  
|}
|}


[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Dimanic]]
[[Category:10-note scales]]

Revision as of 12:54, 18 May 2022

↖ 7L 1s ↑ 8L 1s 9L 1s ↗
← 7L 2s 8L 2s 9L 2s →
↙ 7L 3s ↓ 8L 3s 9L 3s ↘
┌╥╥╥╥┬╥╥╥╥┬┐
│║║║║│║║║║││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLLs
sLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\10 to 1\8 (120.0 ¢ to 150.0 ¢)
Dark 3\8 to 4\10 (450.0 ¢ to 480.0 ¢)
TAMNAMS information
Name taric
Prefix tara-
Abbrev. ta
Related MOS scales
Parent 2L 6s
Sister 2L 8s
Daughters 10L 8s, 8L 10s
Neutralized 6L 4s
2-Flought 18L 2s, 8L 12s
Equal tunings
Equalized (L:s = 1:1) 1\10 (120.0 ¢)
Supersoft (L:s = 4:3) 4\38 (126.3 ¢)
Soft (L:s = 3:2) 3\28 (128.6 ¢)
Semisoft (L:s = 5:3) 5\46 (130.4 ¢)
Basic (L:s = 2:1) 2\18 (133.3 ¢)
Semihard (L:s = 5:2) 5\44 (136.4 ¢)
Hard (L:s = 3:1) 3\26 (138.5 ¢)
Superhard (L:s = 4:1) 4\34 (141.2 ¢)
Collapsed (L:s = 1:0) 1\8 (150.0 ¢)

8L 2s is a tiling of LLLLs at the half octave.

Modes

  • 8|0(2) LLLLsLLLLs
  • 6|2(2) LLLsLLLLsL
  • 4|4(2) LLsLLLLsLL
  • 2|6(2) LsLLLLsLLL
  • 0|8(2) sLLLLsLLLL

Scale tree

Generator ranges:

  • Chroma-positive generator: 120 cents (1\10) to 150 cents (1\8)
  • Chroma-negative generator: 450 cents (3\8) to 480 cents (4\10)
Generator Cents L s L/s Comments
1\10 120.000 1 1 1.000
6\58 124.138 6 5 1.200 Quadrasruta (sagugu&bizozogu)
5\48 125.000 5 4 1.250
9\86 125.581 9 7 1.286
4\38 126.316 4 3 1.333
11\104 126.923 11 8 1.375
7\66 127.273 7 5 1.400
10\94 127.660 10 7 1.429
3\28 128.571 3 2 1.500
11\102 129.412 11 7 1.571
8\74 129.730 8 5 1.600
13\120 130.000 13 8 1.625 Golden biggie decatonic (129.9254¢)
5\46 130.435 5 3 1.667
12\110 130.909 12 7 1.714
7\64 131.250 7 4 1.750
9\82 131.707 9 5 1.800
2\18 133.333 2 1 2.000 Basic dimanic
Octokaidecal is around here
9\80 135.000 9 4 2.250
7\62 135.484 7 3 2.333
12\106 135.849 12 5 2.400
5\44 136.364 5 2 2.500
13\114 136.842 13 5 2.600 Unmamed golden tuning (136.9248¢)
8\70 137.143 8 3 2.667
11\96 137.500 11 4 2.750
3\26 138.462 3 1 3.000
10\86 139.535 10 3 3.333
7\60 140.000 7 2 3.500 Fifives
11\94 140.426 11 3 3.667
4\34 141.176 4 1 4.000
9\76 142.105 9 2 4.500
5\42 142.857 5 1 5.000
6\50 144.000 6 1 6.000
1\8 150.000 1 0 → inf