4L 6s: Difference between revisions

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Cleanup and improve scale tree
Line 5: Line 5:
| Equalized = 2
| Equalized = 2
| Paucitonic = 1
| Paucitonic = 1
| Pattern = LsLssLsLss
| Pattern = sLsLssLsLs
| Name = antidipentic
| Name = antidipentic
}}
}}


This MOS repeats at the half-octave, which runs Lss Ls.
'''4L 6s''' is the [[MOS scale]] with 4 large steps and 6 small steps. It repeats at the half-octave, and the generator is between 2\10 (240[[¢]]) to 1\4 (300¢).


{| class="wikitable"
== Scale tree ==
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
|-
| | 2\10
| 2\10 || || || || || || 240.000 || 1 || 1 || 1.000 ||  
| |  
| |  
| |  
| |  
| |  
| | 240
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 11\54 || 244.444 || 6 || 5 || 1.200 || Semiseptiquarter↑
| |  
| |  
| |  
| |
| | 11\54
| | 244.444
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 9\44 || || 245.455 || 5 || 4 || 1.250 ||  
| |  
| |  
| |
| | 9\44
| |  
| | 245.455
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 16\78 || 246.154 || 9 || 7 || 1.286 ||  
| |  
| |  
| | 7\34
| |  
| |  
| | 247.059
| style="text-align:center;" |  
|-
|-
| |  
| || || || 7\34 || || || 247.059 || 4 || 3 || 1.333 ||  
| |  
| |  
| |  
| |  
| | 31\150
| | 248
| |  
|-
|-
| |  
| || || || || || 19\92 || 247.826 || 11 || 8 || 1.375 ||  
| |  
| |  
| |  
| | 12\58
| |  
| | 248.276
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 12\58 || || 248.276 || 7 || 5 || 1.400 || Semihemi
| |  
| | 5\24
| |  
| |  
| |  
| | 250
| style="text-align:center;" | Decimal is around here
|-
|-
| |  
| || || || || || 17\82 || 248.780 || 10 || 7 || 1.428 ||  
| |  
| |  
| |  
| |  
| |  
| | 251.153
| |  
|-
|-
| |  
| || || 5\24 || || || || 250.000 || 3 || 2 || 1.500 || L/s = 3/2, decimal is around here
| |  
| |  
| |  
| | 13\62
| |  
| | 251.613
| style="text-align:center;" |
|-
|-
| |  
| || || || || || 18\86 || 251.163 || 11 || 7 || 1.571 ||  
| |  
| |  
| |  
| |  
| | 21\100
| | 252
| style="text-align:center;" | Golden fair bicycle (?)
|-
|-
| |  
| || || || || 13\62 || || 251.613 || 8 || 5 || 1.600 ||  
| |  
| |  
| | 8\38
| |  
| |  
| | 252.632
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 21\100 || 252.000 || 13 || 8 || 1.625 || Unnamed golden tuning
| |  
| |  
| |  
| |  
| |  
| | 253.59
| |  
|-
|-
| |  
| || || || 8\38 || || || 252.632 || 5 || 3 || 1.667 ||  
| |  
| |  
| |  
| | 11\52
| |  
| | 253.846
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 19\90 || 253.333 || 12 || 7 || 1.714 ||  
| | 3\14
| |  
| |  
| |  
| |  
| | 257.143
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 11\52 || || 253.846 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| |  
| | 13\60
| | 260
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 14\66 || 254.545 || 9 || 5 || 1.800 ||
| |  
| |  
| |  
| | 10\46
| |  
| | 260.870
| style="text-align:center;" |  
|-
|-
| |  
| || 3\14 || || || || || 257.143 || 2 || 1 || 2.000 || Basic antidipentic<br>(Generators smaller than this are proper)
| |  
| |  
| | 7\32
| |  
| |  
| | 262.5
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 13\60 || 260.000 || 9 || 4 || 2.250 ||
| |  
| |  
| |  
| |  
| | 18\82
| | 263.415
| |  
|-
|-
| |  
| || || || || 10\46 || || 260.870 || 7 || 3 || 2.333 || Bamity
| |  
| |  
| |  
| | 11\50
| |  
| | 264
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 17\78 || 261.538 || 12 || 5 || 2.400 ||
| |  
| |  
| |  
| |  
| |  
| | 264.44
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = e</span>
|-
|-
| |  
| || || || 7\32 || || || 262.500 || 5 || 2 || 2.500 ||  
| |  
| | 4\18
| |  
| |  
| |  
| | 266.667
| style="text-align:center;" | L/s = 3
|-
|-
| |  
| || || || || || 18\82 || 263.415 || 13 || 5 || 2.600 || Unnamed golden tuning
| |  
| |  
| |  
| |  
| |  
| | 267.683
| style="text-align:center;" | <span style="display: block; text-align: center;">L/s = pi</span>
|-
|-
| |  
| || || || || 11\50 || || 264.000 || 8 || 3 || 2.667 ||
| |  
| |  
| |  
| | 9\40
| |  
| | 270
| style="text-align:center;" |  
|-
|-
| |  
| || || || || || 15\68 || 264.706 || 11 || 4 || 2.750 ||
| |  
| |  
| | 5\22
| |  
| |  
| | 272.727
| style="text-align:center;" | L/s = 4
|-
|-
| |  
| || || 4\18 || || || || 266.667 || 3 || 1 || 3.000 || L/s = 3/1
| |  
| |  
| |  
| |  
| | 11\48
| | 275
| style="text-align:center;" | Doublewide is around here
|-
|-
| |  
| || || || || || 13\58 || 268.966 || 10 || 3 || 3.333 ||
| |  
| |  
| |  
| | 6\26
| |  
| | 276.923
| style="text-align:center;" |  
|-
|-
| |  
| || || || || 9\40 || || 270.000 || 7 || 2 || 3.500 ||  
| |  
| |  
| |  
| |  
| | 7\30
| | 280
| style="text-align:center;" |  
|-
|-
| | 1\4
| || || || || || 14\62 || 270.968 || 11 || 3 || 3.667 ||
| |  
|-
| |  
| || || || 5\22 || || || 272.727 || 4 || 1 || 4.000 ||
| |  
|-
| |  
| || || || || || 11\48 || 275.000 || 9 || 2 || 4.500 || Doublewide
| |  
|-
| | 300
| || || || || 6\26 || || 276.923 || 5 || 1 || 5.000 ||
| style="text-align:center;" |  
|-
| || || || || || 7\30 || 280.000 || 6 || 1 || 6.000 || Bikleismic↓
|-
| 1\4 || || || || || || 300.000 || 1 || 0 || → inf ||
|}
|}


[[Category:Scales]]
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Antidipentic| ]] <!-- main article -->

Revision as of 18:18, 14 October 2021

↖ 3L 5s ↑ 4L 5s 5L 5s ↗
← 3L 6s 4L 6s 5L 6s →
↙ 3L 7s ↓ 4L 7s 5L 7s ↘ 
┌╥┬╥┬┬╥┬╥┬┬┐
│║│║││║│║│││
││││││││││││
└┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsLssLsLss
ssLsLssLsL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 2\10 to 1\4 (240.0 ¢ to 300.0 ¢)
Dark 1\4 to 3\10 (300.0 ¢ to 360.0 ¢)
TAMNAMS information
Name lime
Prefix lime-
Abbrev. lm
Related MOS scales
Parent 4L 2s
Sister 6L 4s
Daughters 10L 4s, 4L 10s
Neutralized 8L 2s
2-Flought 14L 6s, 4L 16s
Equal tunings
Equalized (L:s = 1:1) 2\10 (240.0 ¢)
Supersoft (L:s = 4:3) 7\34 (247.1 ¢)
Soft (L:s = 3:2) 5\24 (250.0 ¢)
Semisoft (L:s = 5:3) 8\38 (252.6 ¢)
Basic (L:s = 2:1) 3\14 (257.1 ¢)
Semihard (L:s = 5:2) 7\32 (262.5 ¢)
Hard (L:s = 3:1) 4\18 (266.7 ¢)
Superhard (L:s = 4:1) 5\22 (272.7 ¢)
Collapsed (L:s = 1:0) 1\4 (300.0 ¢)

4L 6s is the MOS scale with 4 large steps and 6 small steps. It repeats at the half-octave, and the generator is between 2\10 (240¢) to 1\4 (300¢).

Scale tree

Generator Cents L s L/s Comments
2\10 240.000 1 1 1.000
11\54 244.444 6 5 1.200 Semiseptiquarter↑
9\44 245.455 5 4 1.250
16\78 246.154 9 7 1.286
7\34 247.059 4 3 1.333
19\92 247.826 11 8 1.375
12\58 248.276 7 5 1.400 Semihemi
17\82 248.780 10 7 1.428
5\24 250.000 3 2 1.500 L/s = 3/2, decimal is around here
18\86 251.163 11 7 1.571
13\62 251.613 8 5 1.600
21\100 252.000 13 8 1.625 Unnamed golden tuning
8\38 252.632 5 3 1.667
19\90 253.333 12 7 1.714
11\52 253.846 7 4 1.750
14\66 254.545 9 5 1.800
3\14 257.143 2 1 2.000 Basic antidipentic
(Generators smaller than this are proper)
13\60 260.000 9 4 2.250
10\46 260.870 7 3 2.333 Bamity
17\78 261.538 12 5 2.400
7\32 262.500 5 2 2.500
18\82 263.415 13 5 2.600 Unnamed golden tuning
11\50 264.000 8 3 2.667
15\68 264.706 11 4 2.750
4\18 266.667 3 1 3.000 L/s = 3/1
13\58 268.966 10 3 3.333
9\40 270.000 7 2 3.500
14\62 270.968 11 3 3.667
5\22 272.727 4 1 4.000
11\48 275.000 9 2 4.500 Doublewide
6\26 276.923 5 1 5.000
7\30 280.000 6 1 6.000 Bikleismic↓
1\4 300.000 1 0 → inf
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