3L 1s: Difference between revisions

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Just going to revert to the old table until the issue gets fixed
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{{Infobox MOS}}
{{Infobox MOS|name=tetric}}


'''3L 1s''' (named '''tetric''' in [[TAMNAMS]]) is the MOS pattern LLLs, with generators ranging from 1\4 (one step of [[4edo]] = 300¢) to 1\3 (one step of [[3edo]] = 400¢).
'''3L 1s''' is the MOS pattern LLLs, with generators ranging from 1\4 (one step of [[4edo]] = 300¢) to 1\3 (one step of [[3edo]] = 400¢).


== Modes ==
== Modes ==
Line 14: Line 14:
* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)
* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)


{{Scale tree}}
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
!Remainder
! L
! s
! L/s
! Comments
|-
| 1\4 || || || || || || 300.000
|300.000|| 1 || 1 || 1.000 ||
|-
| || || || || || 6\23 || 313.043
|260.870|| 6 || 5 || 1.200 ||
|-
| || || || || 5\19 || || 315.789
|252.632|| 5 || 4 || 1.250 ||
|-
| || || || || || 9\34 || 317.647
|247.059|| 9 || 7 || 1.286 || [[Hanson]]/[[keemun]]
|-
| || || || 4\15 || || || 320.000
|240.000|| 4 || 3 || 1.333 ||
|-
| || || || || || 11\41 || 321.951
|234.146|| 11 || 8 || 1.375 || [[Superkleismic]]
|-
| || || || || 7\26 || || 323.077
|230.769|| 7 || 5 || 1.400 ||
|-
| || || || || || 10\37 || 324.324
|227.027|| 10 || 7 || 1.429 || [[Hyperkleismic]]
|-
| || || 3\11 || || || || 327.273
|218.182|| 3 || 2 || 1.500 ||
|-
| || || || || || 11\40 || 330.000
|210.000|| 11 || 7 || 1.571 ||
|-
| || || || || 8\29 || || 331.034
|206.897|| 8 || 5 || 1.600 ||
|-
| || || || || || 13\47 || 331.915
|204.255|| 13 || 8 || 1.625 || Golden [[dicot]] (331.6718¢)
|-
| || || || 5\18 || || || 333.333
|200.000|| 5 || 3 || 1.667 ||
|-
| || || || || || 12\43 || 334.884
|195.348|| 12 || 7 || 1.714 ||
|-
| || || || || 7\25 || || 336.000
|192.000|| 7 || 4 || 1.750 ||
|-
| || || || || || 9\32 || 337.500
|187.500|| 9 || 5 || 1.800 || [[Sixix]]
|-
| || 2\7 || || || || || 342.857
|171.429|| 2 || 1 || 2.000 || Basic 3L 1s
|-
| || || || || || 9\31 || 348.387
|154.839|| 9 || 4 || 2.250 || [[Mohaha]]/[[mohajira]]
|-
| || || || || 7\24 || || 350.000
|150.000|| 7 || 3 || 2.333 ||
|-
| || || || || || 12\41 || 351.220
|146.341|| 12 || 5 || 2.400 || [[Hemif]]/[[hemififths]]
|-
| || || || 5\17 || || || 352.941
|141.176|| 5 || 2 || 2.500 ||
|-
| || || || || || 13\44 || 354.545
|136.364|| 13 || 5 || 2.600 || Golden suhajira (354.8232¢)
|-
| || || || || 8\27 || || 355.556
|133.333|| 8 || 3 || 2.667 ||
|-
| || || || || || 11\37 || 356.757
|129.730|| 11 || 4 || 2.750 || [[Beatles]]
|-
| || || 3\10 || || || || 360.000
|120.000|| 3 || 1 || 3.000 ||
|-
| || || || || || 10\33 || 363.636
|109.091|| 10 || 3 || 3.333 ||
|-
| || || || || 7\23 || || 365.217
|104.348|| 7 || 2 || 3.500 ||
|-
| || || || || || 11\36 || 366.667
|100.000|| 11 || 3 || 3.667 ||
|-
| || || || 4\13 || || || 369.231
|92.308|| 4 || 1 || 4.000 ||
|-
| || || || || || 9\29 || 372.414
|82.759|| 9 || 2 || 4.500 || [[Sephiroth]]
|-
| || || || || 5\16 || || 375.000
|75.000|| 5 || 1 || 5.000 ||
|-
| || || || || || 6\19 || 378.947
|63.159|| 6 || 1 || 6.000 || [[Magic]]↓
|-
| 1\3 || || || || || || 400.000
|0.000|| 1 || 0 || → inf ||
|}


[[Category:Tetrad]]
[[Category:Tetrad]]
[[Category:4-tone scales]]
[[Category:4-tone scales]]

Revision as of 01:09, 28 May 2023

← 2L 1s 3L 1s 4L 1s →
↙ 2L 2s ↓ 3L 2s 4L 2s ↘ 
┌╥╥╥┬┐
│║║║││
││││││
└┴┴┴┴┘
Scale structure
Step pattern LLLs
sLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 1\4 to 1\3 (300.0 ¢ to 400.0 ¢)
Dark 2\3 to 3\4 (800.0 ¢ to 900.0 ¢)
Related MOS scales
Parent 1L 2s
Sister 1L 3s
Daughters 4L 3s, 3L 4s
Neutralized 2L 2s
2-Flought 7L 1s, 3L 5s
Equal tunings
Equalized (L:s = 1:1) 1\4 (300.0 ¢)
Supersoft (L:s = 4:3) 4\15 (320.0 ¢)
Soft (L:s = 3:2) 3\11 (327.3 ¢)
Semisoft (L:s = 5:3) 5\18 (333.3 ¢)
Basic (L:s = 2:1) 2\7 (342.9 ¢)
Semihard (L:s = 5:2) 5\17 (352.9 ¢)
Hard (L:s = 3:1) 3\10 (360.0 ¢)
Superhard (L:s = 4:1) 4\13 (369.2 ¢)
Collapsed (L:s = 1:0) 1\3 (400.0 ¢)

3L 1s is the MOS pattern LLLs, with generators ranging from 1\4 (one step of 4edo = 300¢) to 1\3 (one step of 3edo = 400¢).

Modes

  • 3|0 LLLs
  • 2|1 LLsL
  • 1|2 LsLL
  • 0|3 sLLL

Scale tree

Generator ranges:

  • Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
  • Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)
Generator Cents Remainder L s L/s Comments
1\4 300.000 300.000 1 1 1.000
6\23 313.043 260.870 6 5 1.200
5\19 315.789 252.632 5 4 1.250
9\34 317.647 247.059 9 7 1.286 Hanson/keemun
4\15 320.000 240.000 4 3 1.333
11\41 321.951 234.146 11 8 1.375 Superkleismic
7\26 323.077 230.769 7 5 1.400
10\37 324.324 227.027 10 7 1.429 Hyperkleismic
3\11 327.273 218.182 3 2 1.500
11\40 330.000 210.000 11 7 1.571
8\29 331.034 206.897 8 5 1.600
13\47 331.915 204.255 13 8 1.625 Golden dicot (331.6718¢)
5\18 333.333 200.000 5 3 1.667
12\43 334.884 195.348 12 7 1.714
7\25 336.000 192.000 7 4 1.750
9\32 337.500 187.500 9 5 1.800 Sixix
2\7 342.857 171.429 2 1 2.000 Basic 3L 1s
9\31 348.387 154.839 9 4 2.250 Mohaha/mohajira
7\24 350.000 150.000 7 3 2.333
12\41 351.220 146.341 12 5 2.400 Hemif/hemififths
5\17 352.941 141.176 5 2 2.500
13\44 354.545 136.364 13 5 2.600 Golden suhajira (354.8232¢)
8\27 355.556 133.333 8 3 2.667
11\37 356.757 129.730 11 4 2.750 Beatles
3\10 360.000 120.000 3 1 3.000
10\33 363.636 109.091 10 3 3.333
7\23 365.217 104.348 7 2 3.500
11\36 366.667 100.000 11 3 3.667
4\13 369.231 92.308 4 1 4.000
9\29 372.414 82.759 9 2 4.500 Sephiroth
5\16 375.000 75.000 5 1 5.000
6\19 378.947 63.159 6 1 6.000 Magic↓
1\3 400.000 0.000 1 0 → inf
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