19L 8s: Difference between revisions

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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="9" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 7\19
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 0
| |
| | 442.105
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|66\179
| | 9
| | 1
| | 9.000
| | 442.458
| |
|-
| |
| |
| |
| |
| |
| |
| |
|59\160
|
| | 8
| | 1
| | 8.000
| | 442.500
| |
|-
| |
| |
| |
| |
| |
| |
| |52\141
|
|
| | 7
| | 1
| | 7.000
| | 442.553
| |
|-
| |
| |
| |
| |
| |
| | 45\122
| |
|
|
| | 6
| | 1
| | 6.000
| | 442.623
| |
|-
| |
| |
| |
| |
| |
| |
| |83\225
|
|
| | 11
| | 2
| | 5.500
| | 442.667
| |
|-
| |
| |
| |
| |
| | 38\103
| |
| |
|
|
| | 5
| | 1
| | 5.000
| | 442.718
| |
|-
| |
| |
| |
| |
| |
| | 69\187
| |
|
|
| | 9
| | 2
| | 4.500
| | 442.781
| |
|-
| |
| |
| |
| | 31\84
| |
| |
| |
|
|
| | 4
| | 1
| | 4.000
| | 442.857
| |
|-
| |
| |
| |
| |
| |
| | 86\233
| |
|
|
| | 11
| | 3
| | 3.667
| | 442.918
| |
|-
| |
| |
| |
| |
| | 55\149
| |
| |
|
|
| | 7
| | 2
| | 3.500
| | 442.953
| |
|-
| |
| |
| |
| |
| |
| | 79\214
| |
|
|
| | 10
| | 3
| | 3.333
| | 442.991
| |
|-
| |
| |
| | 24\65
| |
| |
| |
| |
|
|
| | 3
| | 1
| | 3.000
| | 443.077
| |
|-
| |
| |
| |
| |
| |
| | 89\241
| |
|
|
| | 11
| | 4
| | 2.750
| | 443.154
| |
|-
| |
| |
| |
| |
| | 65\176
| |
| |
|
|
| | 8
| | 3
| | 2.667
| | 443.182
| |
|-
| |
| |
| |
| | 41\111
| |
| |
| |
|
|
| | 5
| | 2
| | 2.500
| | 443.243
| |
|-
| |
| |
| |
| |
| | 58\157
| |
| |
|
|
| | 7
| | 3
| | 2.333
| | 443.312
| |
|-
| |
| |
| |
| |
| |
| | 75\203
| |
|
|
| | 9
| | 4
| | 2.250
| | 443.350
| |
|-
| |
| |
| |
| |
| |
| |
| |92\249
|
|
| | 11
| | 5
| | 2.200
| | 443.373
| |
|-
| |
| | 17\46
| |
| |
| |
| |
| |
|
|
| | 2
| | 1
| | 2.000
| | 443.478
| |
|-
| |
| |
| |
| |
| |
| | 78\211
| |
|
|
| | 9
| | 5
| | 1.800
| | 443.602
| |
|-
| |
| |
| |
| |
| | 61\165
| |
| |
|
|
| | 7
| | 4
| | 1.750
| | 443.636
| |
|-
| |
| |
| |
| | 44\119
| |
| |
| |
|
|
| | 5
| | 3
| | 1.667
| | 443.697
| |
|-
| |
| |
| |
| |
| | 71\192
| |
| |
|
|
| | 8
| | 5
| | 1.600
| | 443.750
| |
|-
| |
| |
| | 27\73
| |
| |
| |
| |
|
|
| | 3
| | 2
| | 1.500
| | 443.836
| |
|-
| |
| |
| |
| |
| |
| | 91\246
| |
|
|
| | 10
| | 7
| | 1.429
| | 443.902
| |
|-
| |
| |
| |
| |
| | 64\173
| |
| |
|
|
| | 7
| | 5
| | 1.400
| | 443.931
| |
|-
| |
| |
| |
| | 37\100
| |
| |
| |
|
|
| | 4
| | 3
| | 1.333
| | 444.000
| |
|-
| |
| |
| |
| |
| |
| | 84\227
| |
|
|
| | 9
| | 7
| | 1.286
| | 444.053
| |
|-
| |
| |
| |
| |
| | 47\127
| |
| |
|
|
| | 5
| | 4
| | 1.250
| | 444.094
| |
|-
| |
| |
| |
| |
| |
| | 57\154
| |
|
|
| | 6
| | 5
| | 1.200
| | 444.156
| |
|-
| |
| |
| |
| |
| |
| |
| |67\181
|
|
| | 7
| | 6
| | 1.167
| | 444.199
| |
|-
| |
| |
| |
| |
| |
| |
| |
|77\208
|
| | 8
| | 7
| | 1.143
| | 444.231
| |
|-
| |
| |
| |
| |
| |
| |
| |
|
|87\235
| | 9
| | 8
| | 1.125
| | 444.255
| |
|-
| | 10\27
| |
| |
| |
| |
| |
| |
|
|
| | 1
| | 1
| | 1.000
| | 444.444
| |
|}
[[category:todo:expand]]
[[category:todo:expand]]

Revision as of 07:24, 1 March 2024

↖ 18L 7s ↑ 19L 7s 20L 7s ↗
← 18L 8s 19L 8s 20L 8s →
↙ 18L 9s ↓ 19L 9s 20L 9s ↘
Scale structure
Step pattern LLLsLLsLLLsLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 17\27 to 12\19 (755.6 ¢ to 757.9 ¢)
Dark 7\19 to 10\27 (442.1 ¢ to 444.4 ¢)
TAMNAMS information
Related to 3L 5s (checkertonic)
With tunings 4:3 to 3:2 (parasoft)
Related MOS scales
Parent 8L 11s
Sister 8L 19s
Daughters 27L 19s, 19L 27s
Neutralized 11L 16s
2-Flought 46L 8s, 19L 35s
Equal tunings
Equalized (L:s = 1:1) 17\27 (755.6 ¢)
Supersoft (L:s = 4:3) 63\100 (756.0 ¢)
Soft (L:s = 3:2) 46\73 (756.2 ¢)
Semisoft (L:s = 5:3) 75\119 (756.3 ¢)
Basic (L:s = 2:1) 29\46 (756.5 ¢)
Semihard (L:s = 5:2) 70\111 (756.8 ¢)
Hard (L:s = 3:1) 41\65 (756.9 ¢)
Superhard (L:s = 4:1) 53\84 (757.1 ¢)
Collapsed (L:s = 1:0) 12\19 (757.9 ¢)
View • Talk • Edit

19L 8s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 19 large steps and 8 small steps, repeating every octave. 19L 8s is a great-grandchild scale of 3L 5s, expanding it by 19 tones. Generators that produce this scale range from 755.6 ¢ to 757.9 ¢, or from 442.1 ¢ to 444.4 ¢.

Modes

Modes of 19L 8s
UDP Cyclic
order		 Step
pattern
26|0 1 LLLsLLsLLLsLLsLLsLLLsLLsLLs
25|1 18 LLLsLLsLLsLLLsLLsLLLsLLsLLs
24|2 8 LLLsLLsLLsLLLsLLsLLsLLLsLLs
23|3 25 LLsLLLsLLsLLLsLLsLLsLLLsLLs
22|4 15 LLsLLLsLLsLLsLLLsLLsLLLsLLs
21|5 5 LLsLLLsLLsLLsLLLsLLsLLsLLLs
20|6 22 LLsLLsLLLsLLsLLLsLLsLLsLLLs
19|7 12 LLsLLsLLLsLLsLLsLLLsLLsLLLs
18|8 2 LLsLLsLLLsLLsLLsLLLsLLsLLsL
17|9 19 LLsLLsLLsLLLsLLsLLLsLLsLLsL
16|10 9 LLsLLsLLsLLLsLLsLLsLLLsLLsL
15|11 26 LsLLLsLLsLLLsLLsLLsLLLsLLsL
14|12 16 LsLLLsLLsLLsLLLsLLsLLLsLLsL
13|13 6 LsLLLsLLsLLsLLLsLLsLLsLLLsL
12|14 23 LsLLsLLLsLLsLLLsLLsLLsLLLsL
11|15 13 LsLLsLLLsLLsLLsLLLsLLsLLLsL
10|16 3 LsLLsLLLsLLsLLsLLLsLLsLLsLL
9|17 20 LsLLsLLsLLLsLLsLLLsLLsLLsLL
8|18 10 LsLLsLLsLLLsLLsLLsLLLsLLsLL
7|19 27 sLLLsLLsLLLsLLsLLsLLLsLLsLL
6|20 17 sLLLsLLsLLsLLLsLLsLLLsLLsLL
5|21 7 sLLLsLLsLLsLLLsLLsLLsLLLsLL
4|22 24 sLLsLLLsLLsLLLsLLsLLsLLLsLL
3|23 14 sLLsLLLsLLsLLsLLLsLLsLLLsLL
2|24 4 sLLsLLLsLLsLLsLLLsLLsLLsLLL
1|25 21 sLLsLLsLLLsLLsLLLsLLsLLsLLL
0|26 11 sLLsLLsLLLsLLsLLsLLLsLLsLLL

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 8s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
17\27 755.556 444.444 1:1 1.000 Equalized 19L 8s
97\154 755.844 444.156 6:5 1.200
80\127 755.906 444.094 5:4 1.250
143\227 755.947 444.053 9:7 1.286
63\100 756.000 444.000 4:3 1.333 Supersoft 19L 8s
172\273 756.044 443.956 11:8 1.375
109\173 756.069 443.931 7:5 1.400
155\246 756.098 443.902 10:7 1.429
46\73 756.164 443.836 3:2 1.500 Soft 19L 8s
167\265 756.226 443.774 11:7 1.571
121\192 756.250 443.750 8:5 1.600
196\311 756.270 443.730 13:8 1.625
75\119 756.303 443.697 5:3 1.667 Semisoft 19L 8s
179\284 756.338 443.662 12:7 1.714
104\165 756.364 443.636 7:4 1.750
133\211 756.398 443.602 9:5 1.800
29\46 756.522 443.478 2:1 2.000 Basic 19L 8s
Scales with tunings softer than this are proper
128\203 756.650 443.350 9:4 2.250
99\157 756.688 443.312 7:3 2.333
169\268 756.716 443.284 12:5 2.400
70\111 756.757 443.243 5:2 2.500 Semihard 19L 8s
181\287 756.794 443.206 13:5 2.600
111\176 756.818 443.182 8:3 2.667
152\241 756.846 443.154 11:4 2.750
41\65 756.923 443.077 3:1 3.000 Hard 19L 8s
135\214 757.009 442.991 10:3 3.333
94\149 757.047 442.953 7:2 3.500
147\233 757.082 442.918 11:3 3.667
53\84 757.143 442.857 4:1 4.000 Superhard 19L 8s
118\187 757.219 442.781 9:2 4.500
65\103 757.282 442.718 5:1 5.000
77\122 757.377 442.623 6:1 6.000
12\19 757.895 442.105 1:0 → ∞ Collapsed 19L 8s
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