10L 4s: Difference between revisions

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{{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Tuning spectrum ==
Decimal / decibel / anguirus range
Decimal / decibel / anguirus range
 
{{Scale tree}}
{| class="wikitable"
! colspan="7" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 2\10
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 240.000
| |
|-
|
|
|
|
|
|
|15\74
|7
|1
|7.000
|243.243
|
|-
| |
| |
| |
| |
| |
| | 13\64
| |
| | 6
| | 1
| | 6.000
| | 243.750
| | Decibel is optimal around here
|-
| |
| |
| |
| |
| | 11\54
| |
| |
| | 5
| | 1
| | 5.000
| | 244.444
| |
|-
| |
| |
| |
| |
| |
| | 20\98
| |
| | 9
| | 2
| | 4.500
| | 244.898
| |
|-
| |
| |
| |
| | 9\44
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 245.455
| |
|-
| |
| |
| |
| |
| |
| | 25\122
| |
| | 11
| | 3
| | 3.667
| | 245.902
| |
|-
| |
| |
| |
| |
| | 16\78
| |
| |
| | 7
| | 2
| | 3.500
| | 246.154
| |
|-
| |
| |
| |
| |
| |
| | 23\112
| |
| | 10
| | 3
| | 3.333
| | 246.429
| |
|-
| |
| |
| | 7\34
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 247.059
| |
|-
| |
| |
| |
| |
| |
| | 26\126
| |
| | 11
| | 4
| | 2.750
| | 247.619
| |
|-
| |
| |
| |
| |
| | 19\92
| |
| |
| | 8
| | 3
| | 2.667
| | 247.826
| | Anguirus is optimal around here
|-
| |
| |
| |
| |
| |
| | 31\150
| |
| | 13
| | 5
| | 2.600
| | 248.000
| | Sruti is around here
|-
| |
| |
| |
| | 12\58
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 248.276
| |
|-
| |
| |
| |
| |
| |
| | 29\140
| |
| | 12
| | 5
| | 2.400
| | 248.571
| | Semihemi is around here
|-
| |
| |
| |
| |
| | 17\82
| |
| |
| | 7
| | 3
| | 2.333
| | 248.780
| |
|-
| |
| |
| |
| |
| |
| | 22\106
| |
| | 9
| | 4
| | 2.250
| | 249.057
| |
|-
| |
| | 5\24
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 250.000
| |
|-
| |
| |
| |
| |
| |
| | 23\110
| |
| | 9
| | 5
| | 1.800
| | 250.909
| |
|-
| |
| |
| |
| |
| | 18\86
| |
| |
| | 7
| | 4
| | 1.750
| | 251.163
| |
|-
| |
| |
| |
| |
| |
| | 31\148
| |
| | 12
| | 7
| | 1.714
| | 251.351
| |
|-
| |
| |
| |
| | 13\62
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 251.613
| | Decimal (7-limit) is optimal around here
|-
| |
| |
| |
| |
| | 21\100
| |
| |
| | 8
| | 5
| | 1.600
| | 252.000
| |
|-
| |
| |
| |
| |
| |
| | 29\138
| |
| | 11
| | 7
| | 1.571
| | 252.174
| |
|-
| |
| |
| | 8\38
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 252.632
| |
|-
| |
| |
| |
| |
| |
| | 27\128
| |
| | 10
| | 7
| | 1.429
| | 253.125
| |
|-
| |
| |
| |
| |
| | 19\90
| |
| |
| | 7
| | 5
| | 1.400
| | 253.333
| |
|-
| |
| |
| |
| |
| |
| | 30\142
| |
| | 11
| | 8
| | 1.375
| | 253.521
| | Decimal (11-limit) is optimal around here
|-
| |
| |
| |
| | 11\52
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 253.846
| |
|-
| |
| |
| |
| |
| |
| | 25\118
| |
| | 9
| | 7
| | 1.286
| | 254.237
| |
|-
| |
| |
| |
| |
| | 14\66
| |
| |
| | 5
| | 4
| | 1.250
| | 254.545
| |
|-
| |
| |
| |
| |
| |
| | 17\80
| |
| | 6
| | 5
| | 1.200
| | 255.000
| |
|-
|
|
|
|
|
|
|20\94
|7
|6
|1.167
|255.319
|
|-
| | 3\14
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 257.143
| |
|}

Revision as of 20:49, 22 September 2024

↖ 9L 3s ↑ 10L 3s 11L 3s ↗
← 9L 4s 10L 4s 11L 4s →
↙ 9L 5s ↓ 10L 5s 11L 5s ↘
Scale structure
Step pattern LLLsLLsLLLsLLs
sLLsLLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 4\14 to 3\10 (342.9 ¢ to 360.0 ¢)
Dark 2\10 to 3\14 (240.0 ¢ to 257.1 ¢)
TAMNAMS information
Related to 4L 6s (lime)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 4L 6s
Sister 4L 10s
Daughters 14L 10s, 10L 14s
Neutralized 6L 8s
2-Flought 24L 4s, 10L 18s
Equal tunings
Equalized (L:s = 1:1) 4\14 (342.9 ¢)
Supersoft (L:s = 4:3) 15\52 (346.2 ¢)
Soft (L:s = 3:2) 11\38 (347.4 ¢)
Semisoft (L:s = 5:3) 18\62 (348.4 ¢)
Basic (L:s = 2:1) 7\24 (350.0 ¢)
Semihard (L:s = 5:2) 17\58 (351.7 ¢)
Hard (L:s = 3:1) 10\34 (352.9 ¢)
Superhard (L:s = 4:1) 13\44 (354.5 ¢)
Collapsed (L:s = 1:0) 3\10 (360.0 ¢)
View • Talk • Edit

10L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 4 small steps, with a period of 5 large steps and 2 small steps that repeats every 600.0 ¢, or twice every octave. 10L 4s is a child scale of 4L 6s, expanding it by 4 tones. Generators that produce this scale range from 342.9 ¢ to 360 ¢, or from 240 ¢ to 257.1 ¢.

Modes

Modes of 10L 4s
UDP Cyclic
order		 Step
pattern
12|0(2) 1 LLLsLLsLLLsLLs
10|2(2) 5 LLsLLLsLLsLLLs
8|4(2) 2 LLsLLsLLLsLLsL
6|6(2) 6 LsLLLsLLsLLLsL
4|8(2) 3 LsLLsLLLsLLsLL
2|10(2) 7 sLLLsLLsLLLsLL
0|12(2) 4 sLLsLLLsLLsLLL

Tuning spectrum

Decimal / decibel / anguirus range

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 10L 4s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
4\14 342.857 257.143 1:1 1.000 Equalized 10L 4s
23\80 345.000 255.000 6:5 1.200
19\66 345.455 254.545 5:4 1.250
34\118 345.763 254.237 9:7 1.286
15\52 346.154 253.846 4:3 1.333 Supersoft 10L 4s
41\142 346.479 253.521 11:8 1.375
26\90 346.667 253.333 7:5 1.400
37\128 346.875 253.125 10:7 1.429
11\38 347.368 252.632 3:2 1.500 Soft 10L 4s
40\138 347.826 252.174 11:7 1.571
29\100 348.000 252.000 8:5 1.600
47\162 348.148 251.852 13:8 1.625
18\62 348.387 251.613 5:3 1.667 Semisoft 10L 4s
43\148 348.649 251.351 12:7 1.714
25\86 348.837 251.163 7:4 1.750
32\110 349.091 250.909 9:5 1.800
7\24 350.000 250.000 2:1 2.000 Basic 10L 4s
Scales with tunings softer than this are proper
31\106 350.943 249.057 9:4 2.250
24\82 351.220 248.780 7:3 2.333
41\140 351.429 248.571 12:5 2.400
17\58 351.724 248.276 5:2 2.500 Semihard 10L 4s
44\150 352.000 248.000 13:5 2.600
27\92 352.174 247.826 8:3 2.667
37\126 352.381 247.619 11:4 2.750
10\34 352.941 247.059 3:1 3.000 Hard 10L 4s
33\112 353.571 246.429 10:3 3.333
23\78 353.846 246.154 7:2 3.500
36\122 354.098 245.902 11:3 3.667
13\44 354.545 245.455 4:1 4.000 Superhard 10L 4s
29\98 355.102 244.898 9:2 4.500
16\54 355.556 244.444 5:1 5.000
19\64 356.250 243.750 6:1 6.000
3\10 360.000 240.000 1:0 → ∞ Collapsed 10L 4s
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