8L 2s: Difference between revisions

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BudjarnLambeth (talk | contribs)
m Removed from "10-note scales" because it's already in "10-tone scales"
Yourmusic Productions (talk | contribs)
m Fill in blank links, prune nonexistent category
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| 1\10 || || || || || || 120.000 || 1 || 1 || 1.000 ||  
| 1\10 || || || || || || 120.000 || 1 || 1 || 1.000 ||  
|-
|-
| || || || || || 6\58 || 124.138 || 6 || 5 || 1.200 || [[Quadrasruta]] (sagugu&bizozogu)
| || || || || || 6\58 || 124.138 || 6 || 5 || 1.200 || [[Diaschismic_family#Quadrasruta|Quadrasruta]] (sagugu&bizozogu)
|-
|-
| || || || || 5\48 || || 125.000 || 5 || 4 || 1.250 ||  
| || || || || 5\48 || || 125.000 || 5 || 4 || 1.250 ||  
Line 83: Line 83:
| || || || || || 10\86 || 139.535 || 10 || 3 || 3.333 ||  
| || || || || || 10\86 || 139.535 || 10 || 3 || 3.333 ||  
|-
|-
| || || || || 7\60 || || 140.000 || 7 || 2 || 3.500 || [[Fifives]]/[[Crepuscular]]
| || || || || 7\60 || || 140.000 || 7 || 2 || 3.500 || [[Fifive_family#Fifives|Fifives]]/[[Crepuscular]]
|-
|-
| || || || || || 11\94 || 140.426 || 11 || 3 || 3.667 ||  
| || || || || || 11\94 || 140.426 || 11 || 3 || 3.667 ||  
Line 93: Line 93:
| || || || || 5\42 || || 142.857 || 5 || 1 || 5.000 ||  
| || || || || 5\42 || || 142.857 || 5 || 1 || 5.000 ||  
|-
|-
| || || || || || 6\50 || 144.000 || 6 || 1 || 6.000 || [[Bisemidim]]
| || || || || || 6\50 || 144.000 || 6 || 1 || 6.000 || [[Starling_temperaments#Bisemidim|Bisemidim]]
|-
|-
| 1\8 || || || || || || 150.000 || 1 || 0 || → inf ||  
| 1\8 || || || || || || 150.000 || 1 || 0 || → inf ||  
|}
|}


[[Category:taric]]
[[Category:10-tone scales]]
[[Category:10-tone scales]]

Revision as of 08:45, 30 April 2023

↖ 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. All scales of this form are necessarily proper because there is only one small step per a period.

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 taric (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 taric
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 Unnamed 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/Crepuscular
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 Bisemidim
1\8 150.000 1 0 → inf