10L 6s: Difference between revisions

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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
This scale is notable for supporting [[Lemba]] temperament; the entire range is suitable, with a generator range of about 229 to 232 cents being optimal.
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
This MOS scale is most notable as an instance of [[Lemba]] temperament; the entire range is suitable, with a generator range of about 229 to 232 cents being optimal.
{{Scale tree|Comments=2/1: Optimal [[Lemba]];
 
4/1: [[Echidnic]]}}
{| class="wikitable"
! colspan="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 2\10
| |
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 0
| |
| | 240.000
| |
|-
|
|
|
|
|
|
|
|
|19\96
|9
|1
|9.000
|237.500
|
|-
| |
| |
| |
| |
| |
| |
| |
| | 17\86
| |
| | 8
| | 1
| | 8.000
| | 237.209
| |
|-
| |
| |
| |
| |
| |
| |
| | 15\76
| |
| |
| | 7
| | 1
| | 7.000
| | 236.842
| |
|-
| |
| |
| |
| |
| |
| | 13\66
| |
| |
| |
| | 6
| | 1
| | 6.000
| | 236.364
| |
|-
| |
| |
| |
| |
| |
| |
| | 24\122
| |
| |
| | 11
| | 2
| | 5.500
| | 236.066
| |
|-
| |
| |
| |
| |
| | 11\56
| |
| |
| |
| |
| | 5
| | 1
| | 5.000
| | 235.714
| |
|-
| |
| |
| |
| |
| |
| | 20\102
| |
| |
| |
| | 9
| | 2
| | 4.500
| | 235.294
| | Echidnic is around here
|-
| |
| |
| |
| | 9\46
| |
| |
| |
| |
| |
| | 4
| | 1
| | 4.000
| | 234.783
| |
|-
| |
| |
| |
| |
| |
| | 25\128
| |
| |
| |
| | 11
| | 3
| | 3.667
| | 234.375
| |
|-
| |
| |
| |
| |
| | 16\82
| |
| |
| |
| |
| | 7
| | 2
| | 3.500
| | 234.146
| |
|-
| |
| |
| |
| |
| |
| | 23\118
| |
| |
| |
| | 10
| | 3
| | 3.333
| | 233.898
| |
|-
| |
| |
| | 7\36
| |
| |
| |
| |
| |
| |
| | 3
| | 1
| | 3.000
| | 233.333
| |
|-
| |
| |
| |
| |
| | 19\98
| |
| |
| |
| |
| | 8
| | 3
| | 2.667
| | 232.653
| |
|-
| |
| |
| |
| | 12\62
| |
| |
| |
| |
| |
| | 5
| | 2
| | 2.500
| | 232.258
| |
|-
| |
| |
| |
| |
| | 17\88
| |
| |
| |
| |
| | 7
| | 3
| | 2.333
| | 231.818
| |
|-
| |
| |
| |
| |
| |
| | 22\114
| |
| |
| |
| | 9
| | 4
| | 2.250
| | 231.579
| |
|-
| |
| | 5\26
| |
| |
| |
| |
| |
| |
| |
| | 2
| | 1
| | 2.000
| | 230.769
| | Lemba is best around here
|-
| |
| |
| |
| |
| |
| | 23\120
| |
| |
| |
| | 9
| | 5
| | 1.800
| | 230.000
| |
|-
| |
| |
| |
| |
| | 18\94
| |
| |
| |
| |
| | 7
| | 4
| | 1.750
| | 229.787
| |
|-
| |
| |
| |
| | 13\68
| |
| |
| |
| |
| |
| | 5
| | 3
| | 1.667
| | 229.412
| |
|-
| |
| |
| |
| |
| | 21\110
| |
| |
| |
| |
| | 8
| | 5
| | 1.600
| | 229.091
| |
|-
| |
| |
| | 8\42
| |
| |
| |
| |
| |
| |
| | 3
| | 2
| | 1.500
| | 228.571
| |
|-
| |
| |
| |
| |
| | 19\100
| |
| |
| |
| |
| | 7
| | 5
| | 1.400
| | 228.000
| |
|-
| |
| |
| |
| | 11\58
| |
| |
| |
| |
| |
| | 4
| | 3
| | 1.333
| | 227.586
| |
|-
| |
| |
| |
| |
| |
| | 25\132
| |
| |
| |
| | 9
| | 7
| | 1.286
| | 227.273
| |
|-
| |
| |
| |
| |
| | 14\74
| |
| |
| |
| |
| | 5
| | 4
| | 1.250
| | 227.027
| |
|-
| |
| |
| |
| |
| |
| | 17\90
| |
| |
| |
| | 6
| | 5
| | 1.200
| | 226.667
| |
|-
| |
| |
| |
| |
| |
| |
| | 20\106
| |
| |
| | 7
| | 6
| | 1.167
| | 226.415
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 23\122
| |
| | 8
| | 7
| | 1.143
| | 226.230
| |
|-
|
|
|
|
|
|
|
|
|26\138
|9
|8
|1.125
|226.087
|
|-
| | 3\16
| |
| |
| |
| |
| |
| |
| |
| |
| | 1
| | 1
| | 1.000
| | 225.000
| |
|}

Revision as of 19:15, 1 March 2024

↖ 9L 5s ↑ 10L 5s 11L 5s ↗
← 9L 6s 10L 6s 11L 6s →
↙ 9L 7s ↓ 10L 7s 11L 7s ↘
Scale structure
Step pattern LLsLLsLsLLsLLsLs
sLsLLsLLsLsLLsLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 3\16 to 2\10 (225.0 ¢ to 240.0 ¢)
Dark 3\10 to 5\16 (360.0 ¢ to 375.0 ¢)
TAMNAMS information
Related to 6L 4s (lemon)
With tunings 1:1 to 2:1 (soft-of-basic)
Related MOS scales
Parent 6L 4s
Sister 6L 10s
Daughters 16L 10s, 10L 16s
Neutralized 4L 12s
2-Flought 26L 6s, 10L 22s
Equal tunings
Equalized (L:s = 1:1) 3\16 (225.0 ¢)
Supersoft (L:s = 4:3) 11\58 (227.6 ¢)
Soft (L:s = 3:2) 8\42 (228.6 ¢)
Semisoft (L:s = 5:3) 13\68 (229.4 ¢)
Basic (L:s = 2:1) 5\26 (230.8 ¢)
Semihard (L:s = 5:2) 12\62 (232.3 ¢)
Hard (L:s = 3:1) 7\36 (233.3 ¢)
Superhard (L:s = 4:1) 9\46 (234.8 ¢)
Collapsed (L:s = 1:0) 2\10 (240.0 ¢)
View • Talk • Edit

10L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 10 large steps and 6 small steps, with a period of 5 large steps and 3 small steps that repeats every 600.0 ¢, or twice every octave. 10L 6s is a child scale of 6L 4s, expanding it by 6 tones. Generators that produce this scale range from 225 ¢ to 240 ¢, or from 360 ¢ to 375 ¢.

This scale is notable for supporting Lemba temperament; the entire range is suitable, with a generator range of about 229 to 232 cents being optimal.

Modes

Modes of 10L 6s
UDP Cyclic
order		 Step
pattern
14|0(2) 1 LLsLLsLsLLsLLsLs
12|2(2) 4 LLsLsLLsLLsLsLLs
10|4(2) 7 LsLLsLLsLsLLsLLs
8|6(2) 2 LsLLsLsLLsLLsLsL
6|8(2) 5 LsLsLLsLLsLsLLsL
4|10(2) 8 sLLsLLsLsLLsLLsL
2|12(2) 3 sLLsLsLLsLLsLsLL
0|14(2) 6 sLsLLsLLsLsLLsLL

Scale tree

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 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
3\16 225.000 375.000 1:1 1.000 Equalized 10L 6s
17\90 226.667 373.333 6:5 1.200
14\74 227.027 372.973 5:4 1.250
25\132 227.273 372.727 9:7 1.286
11\58 227.586 372.414 4:3 1.333 Supersoft 10L 6s
30\158 227.848 372.152 11:8 1.375
19\100 228.000 372.000 7:5 1.400
27\142 228.169 371.831 10:7 1.429
8\42 228.571 371.429 3:2 1.500 Soft 10L 6s
29\152 228.947 371.053 11:7 1.571
21\110 229.091 370.909 8:5 1.600
34\178 229.213 370.787 13:8 1.625
13\68 229.412 370.588 5:3 1.667 Semisoft 10L 6s
31\162 229.630 370.370 12:7 1.714
18\94 229.787 370.213 7:4 1.750
23\120 230.000 370.000 9:5 1.800
5\26 230.769 369.231 2:1 2.000 Basic 10L 6s
Scales with tunings softer than this are proper
22\114 231.579 368.421 9:4 2.250
17\88 231.818 368.182 7:3 2.333
29\150 232.000 368.000 12:5 2.400
12\62 232.258 367.742 5:2 2.500 Semihard 10L 6s
31\160 232.500 367.500 13:5 2.600
19\98 232.653 367.347 8:3 2.667
26\134 232.836 367.164 11:4 2.750
7\36 233.333 366.667 3:1 3.000 Hard 10L 6s
23\118 233.898 366.102 10:3 3.333
16\82 234.146 365.854 7:2 3.500
25\128 234.375 365.625 11:3 3.667
9\46 234.783 365.217 4:1 4.000 Superhard 10L 6s
20\102 235.294 364.706 9:2 4.500
11\56 235.714 364.286 5:1 5.000
13\66 236.364 363.636 6:1 6.000
2\10 240.000 360.000 1:0 → ∞ Collapsed 10L 6s
Retrieved from "https://en.xen.wiki/index.php?title=10L_6s&oldid=137813"