19L 6s: Difference between revisions

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BudjarnLambeth (talk | contribs)
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m {{Infobox MOS}} {{MOS intro}} == Modes == {{MOS modes}} == Tuning spectrum ==
Ganaram inukshuk (talk | contribs)
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Replaced no-entries scale tree; stub
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Line 3: Line 3:
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}{{Stub}}
! colspan="11" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 3\19
| |
| |
| |
| |
| |
| |
|
|
|
|
| | 1
| | 0
| |
| | 189.474
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|
|34\215
| | 11
| | 1
| | 11.000
| | 189.767
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|
|31\196
|
| | 10
| | 1
| | 10.000
| | 189.796
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|28\177
|
|
| | 9
| | 1
| | 9.000
| | 189.831
| |
|-
| |
| |
| |
| |
| |
| |
| |
|25\158
|
|
|
| | 8
| | 1
| | 8.000
| | 189.873
| |
|-
| |
| |
| |
| |
| |
| |
| |22\139
|
|
|
|
| | 7
| | 1
| | 7.000
| | 189.928
| |
|-
| |
| |
| |
| |
| |
| | 19\120
| |
|
|
|
|
| | 6
| | 1
| | 6.000
| | 190.000
| |
|-
| |
| |
| |
| |
| | 16\101
| |
| |
|
|
|
|
| | 5
| | 1
| | 5.000
| | 190.099
| |
|-
| |
| |
| |
| |
| |
| | 29\183
| |
|
|
|
|
| | 9
| | 2
| | 4.500
| | 190.164
| |
|-
| |
| |
| |
| | 13\82
| |
| |
| |
|
|
|
|
| | 4
| | 1
| | 4.000
| | 190.244
| |
|-
| |
| |
| |
| |
| | 23\145
| |
| |
|
|
|
|
| | 7
| | 2
| | 3.500
| | 190.345
| |
|-
| |
| |
| |
| |
| |
| | 33\208
| |
|
|
|
|
| | 10
| | 3
| | 3.333
| | 190.385
| |
|-
| |
| |
| | 10\63
| |
| |
| |
| |
|
|
|
|
| | 3
| | 1
| | 3.000
| | 190.476
| |
|-
| |
| |
| |
| |
| | 27\170
| |
| |
|
|
|
|
| | 8
| | 3
| | 2.667
| | 190.588
| |
|-
| |
| |
| |
| | 17\107
| |
| |
| |
|
|
|
|
| | 5
| | 2
| | 2.500
| | 190.654
| |
|-
| |
| |
| |
| |
| | 24\151
| |
| |
|
|
|
|
| | 7
| | 3
| | 2.333
| | 190.728
| |
|-
| |
| |
| |
| |
| |
| | 31\195
| |
|
|
|
|
| | 9
| | 4
| | 2.250
| | 190.769
| |
|-
| |
| | 7\44
| |
| |
| |
| |
| |
|
|
|
|
| | 2
| | 1
| | 2.000
| | 190.909
| |
|-
| |
| |
| |
| |
| |
| | 32\201
| |
|
|
|
|
| | 9
| | 5
| | 1.800
| | 191.045
| |
|-
| |
| |
| |
| |
| | 25\157
| |
| |
|
|
|
|
| | 7
| | 4
| | 1.750
| | 191.083
| |
|-
| |
| |
| |
| | 18\113
| |
| |
| |
|
|
|
|
| | 5
| | 3
| | 1.667
| | 191.150
| |
|-
| |
| |
| |
| |
| | 29\182
| |
| |
|
|
|
|
| | 8
| | 5
| | 1.600
| | 191.209
| |
|-
| |
| |
| | 11\69
| |
| |
| |
| |
|
|
|
|
| | 3
| | 2
| | 1.500
| | 191.304
| |
|-
| |
| |
| |
| |
| | 26\163
| |
| |
|
|
|
|
| | 7
| | 5
| | 1.400
| | 191.411
| |
|-
| |
| |
| |
| | 15\94
| |
| |
| |
|
|
|
|
| | 4
| | 3
| | 1.333
| | 191.489
| |
|-
| |
| |
| |
| |
| |
| | 34\213
| |
|
|
|
|
| | 9
| | 7
| | 1.286
| | 191.549
| |
|-
| |
| |
| |
| |
| | 19\119
| |
| |
|
|
|
|
| | 5
| | 4
| | 1.250
| | 191.597
| |
|-
| |
| |
| |
| |
| |
| | 23\144
| |
|
|
|
|
| | 6
| | 5
| | 1.200
| | 191.667
| |
|-
| |
| |
| |
| |
| |
| |
| |27\169
|
|
|
|
| | 7
| | 6
| | 1.167
| | 191.716
| |
|-
| |
| |
| |
| |
| |
| |
| |
|31\194
|
|
|
| | 8
| | 7
| | 1.143
| | 191.753
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|35\219
|
|
| | 9
| | 8
| | 1.125
| | 191.781
| |
|-
|
|
|
|
|
|
|
|
|
|39\244
|
|10
|9
|1.111
|191.803
|
|-
|
|
|
|
|
|
|
|
|
|
|43\269
|11
|10
|1.100
|191.822
|
|-
| | 4\25
| |
| |
| |
| |
| |
| |
|
|
|
|
| | 1
| | 1
| | 1.000
| | 192.000
| |
|}
 
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:24, 1 March 2024

↖ 18L 5s ↑ 19L 5s 20L 5s ↗
← 18L 6s 19L 6s 20L 6s →
↙ 18L 7s ↓ 19L 7s 20L 7s ↘
Scale structure
Step pattern LLLLsLLLsLLLsLLLsLLLsLLLs
sLLLsLLLsLLLsLLLsLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 21\25 to 16\19 (1008.0 ¢ to 1010.5 ¢)
Dark 3\19 to 4\25 (189.5 ¢ to 192.0 ¢)
TAMNAMS information
Related to 6L 1s (archaeotonic)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 6L 13s
Sister 6L 19s
Daughters 25L 19s, 19L 25s
Neutralized 13L 12s
2-Flought 44L 6s, 19L 31s
Equal tunings
Equalized (L:s = 1:1) 21\25 (1008.0 ¢)
Supersoft (L:s = 4:3) 79\94 (1008.5 ¢)
Soft (L:s = 3:2) 58\69 (1008.7 ¢)
Semisoft (L:s = 5:3) 95\113 (1008.8 ¢)
Basic (L:s = 2:1) 37\44 (1009.1 ¢)
Semihard (L:s = 5:2) 90\107 (1009.3 ¢)
Hard (L:s = 3:1) 53\63 (1009.5 ¢)
Superhard (L:s = 4:1) 69\82 (1009.8 ¢)
Collapsed (L:s = 1:0) 16\19 (1010.5 ¢)
View • Talk • Edit

19L 6s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 6 small steps, repeating every octave. 19L 6s is a great-grandchild scale of 6L 1s, expanding it by 18 tones. Generators that produce this scale range from 1008 ¢ to 1010.5 ¢, or from 189.5 ¢ to 192 ¢.

Modes

Modes of 19L 6s
UDP Cyclic
order		 Step
pattern
24|0 1 LLLLsLLLsLLLsLLLsLLLsLLLs
23|1 22 LLLsLLLLsLLLsLLLsLLLsLLLs
22|2 18 LLLsLLLsLLLLsLLLsLLLsLLLs
21|3 14 LLLsLLLsLLLsLLLLsLLLsLLLs
20|4 10 LLLsLLLsLLLsLLLsLLLLsLLLs
19|5 6 LLLsLLLsLLLsLLLsLLLsLLLLs
18|6 2 LLLsLLLsLLLsLLLsLLLsLLLsL
17|7 23 LLsLLLLsLLLsLLLsLLLsLLLsL
16|8 19 LLsLLLsLLLLsLLLsLLLsLLLsL
15|9 15 LLsLLLsLLLsLLLLsLLLsLLLsL
14|10 11 LLsLLLsLLLsLLLsLLLLsLLLsL
13|11 7 LLsLLLsLLLsLLLsLLLsLLLLsL
12|12 3 LLsLLLsLLLsLLLsLLLsLLLsLL
11|13 24 LsLLLLsLLLsLLLsLLLsLLLsLL
10|14 20 LsLLLsLLLLsLLLsLLLsLLLsLL
9|15 16 LsLLLsLLLsLLLLsLLLsLLLsLL
8|16 12 LsLLLsLLLsLLLsLLLLsLLLsLL
7|17 8 LsLLLsLLLsLLLsLLLsLLLLsLL
6|18 4 LsLLLsLLLsLLLsLLLsLLLsLLL
5|19 25 sLLLLsLLLsLLLsLLLsLLLsLLL
4|20 21 sLLLsLLLLsLLLsLLLsLLLsLLL
3|21 17 sLLLsLLLsLLLLsLLLsLLLsLLL
2|22 13 sLLLsLLLsLLLsLLLLsLLLsLLL
1|23 9 sLLLsLLLsLLLsLLLsLLLLsLLL
0|24 5 sLLLsLLLsLLLsLLLsLLLsLLLL

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 19L 6s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
21\25 1008.000 192.000 1:1 1.000 Equalized 19L 6s
121\144 1008.333 191.667 6:5 1.200
100\119 1008.403 191.597 5:4 1.250
179\213 1008.451 191.549 9:7 1.286
79\94 1008.511 191.489 4:3 1.333 Supersoft 19L 6s
216\257 1008.560 191.440 11:8 1.375
137\163 1008.589 191.411 7:5 1.400
195\232 1008.621 191.379 10:7 1.429
58\69 1008.696 191.304 3:2 1.500 Soft 19L 6s
211\251 1008.765 191.235 11:7 1.571
153\182 1008.791 191.209 8:5 1.600
248\295 1008.814 191.186 13:8 1.625
95\113 1008.850 191.150 5:3 1.667 Semisoft 19L 6s
227\270 1008.889 191.111 12:7 1.714
132\157 1008.917 191.083 7:4 1.750
169\201 1008.955 191.045 9:5 1.800
37\44 1009.091 190.909 2:1 2.000 Basic 19L 6s
Scales with tunings softer than this are proper
164\195 1009.231 190.769 9:4 2.250
127\151 1009.272 190.728 7:3 2.333
217\258 1009.302 190.698 12:5 2.400
90\107 1009.346 190.654 5:2 2.500 Semihard 19L 6s
233\277 1009.386 190.614 13:5 2.600
143\170 1009.412 190.588 8:3 2.667
196\233 1009.442 190.558 11:4 2.750
53\63 1009.524 190.476 3:1 3.000 Hard 19L 6s
175\208 1009.615 190.385 10:3 3.333
122\145 1009.655 190.345 7:2 3.500
191\227 1009.692 190.308 11:3 3.667
69\82 1009.756 190.244 4:1 4.000 Superhard 19L 6s
154\183 1009.836 190.164 9:2 4.500
85\101 1009.901 190.099 5:1 5.000
101\120 1010.000 190.000 6:1 6.000
16\19 1010.526 189.474 1:0 → ∞ Collapsed 19L 6s
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