3L 1s: Difference between revisions

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CompactStar (talk | contribs)
autopatrolled
5,084 edits
Just going to revert to the old table until the issue gets fixed
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
6,211 edits
Fixing what CompatctStar tried to do
Line 13: Line 13:
* Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
* Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
* 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|Comments=9/7:[[Hanson]]/[[keemun]];11/8:[[Superkleismic]];10/7:[[Hyperkleismic]];13/8:Golden [[dicot]] (331.672 cents);9/5:Sixix;2/1:Basic 3L 1s;9/4:[[Mohaha]]/[[mohajira]];12/5:[[Hemif]]/[[hemififths]];13/5;Golden suhajira (354.823 cents);11/4:[[Beatles]];9/2:[[Sephiroth]];6/1:[[Magic]]↓}}
{| 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 08:58, 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 ¢)
View • Talk • Edit

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)
Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter: 
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 3L 1s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\4 300.000 900.000 1:1 1.000 Equalized 3L 1s
6\23 313.043 886.957 6:5 1.200
5\19 315.789 884.211 5:4 1.250
9\34 317.647 882.353 9:7 1.286
4\15 320.000 880.000 4:3 1.333 Supersoft 3L 1s
11\41 321.951 878.049 11:8 1.375
7\26 323.077 876.923 7:5 1.400
10\37 324.324 875.676 10:7 1.429
3\11 327.273 872.727 3:2 1.500 Soft 3L 1s
11\40 330.000 870.000 11:7 1.571
8\29 331.034 868.966 8:5 1.600
13\47 331.915 868.085 13:8 1.625
5\18 333.333 866.667 5:3 1.667 Semisoft 3L 1s
12\43 334.884 865.116 12:7 1.714
7\25 336.000 864.000 7:4 1.750
9\32 337.500 862.500 9:5 1.800
2\7 342.857 857.143 2:1 2.000 Basic 3L 1s
9\31 348.387 851.613 9:4 2.250
7\24 350.000 850.000 7:3 2.333
12\41 351.220 848.780 12:5 2.400
5\17 352.941 847.059 5:2 2.500 Semihard 3L 1s
13\44 354.545 845.455 13:5 2.600
8\27 355.556 844.444 8:3 2.667
11\37 356.757 843.243 11:4 2.750
3\10 360.000 840.000 3:1 3.000 Hard 3L 1s
10\33 363.636 836.364 10:3 3.333
7\23 365.217 834.783 7:2 3.500
11\36 366.667 833.333 11:3 3.667
4\13 369.231 830.769 4:1 4.000 Superhard 3L 1s
9\29 372.414 827.586 9:2 4.500
5\16 375.000 825.000 5:1 5.000
6\19 378.947 821.053 6:1 6.000
1\3 400.000 800.000 1:0 → ∞ Collapsed 3L 1s
Retrieved from "https://en.xen.wiki/index.php?title=3L_1s&oldid=114915"