4L 15s: Difference between revisions

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Mos intro, infobox mos, clarify
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This is an MOS where the large steps divide the small steps 4-4-4-3 between one another. Its generator is a large minor third no greater than 5/19edo (315.7895 cents). Around -2g = 7/5, myna/starling appears.
{{Infobox MOS}}
{{MOS intro}}
Around -2g = 7/5, myna/starling appears{{Clarify}}.


{| class="wikitable"
{| class="wikitable"
|-
|-
| | 5/19
| |5/19
| |  
| |  
| |  
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| | 315.7895
| |315.7895
|-
|-
|
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Line 28: Line 30:
|26/99
|26/99
|
|
|315.1515
| 315.1515
|-
|-
| |  
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| |  
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| | 21/80
| |21/80
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| | 315
| |315
|-
|-
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| | 16/61
| |16/61
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Line 48: Line 50:
| | 314.754
| | 314.754
|-
|-
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| |27/103
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| |314.563
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| | 27/103
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| | 314.563
|-
|-
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| | 11/42
| | 11/42
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| | 314.2857
| |314.2857
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|-
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| | 100*pi
| |100*pi
|-
|-
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| | 50/191
| |50/191
| | 314.136
| | 314.136
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Line 93: Line 95:
| | 314.096
| | 314.096
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|-
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| | 39/149
| |39/149
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| | 314.094
| | 314.094
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|-
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| | 28/107
| |28/107
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| | 17/65
| |17/65
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| | 23/88
| |23/88
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| | 313.5455
| | 313.5455
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|-
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| | 6/23
| |6/23
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| | 313.0435
| |313.0435
|-
|-
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| | 19/73
| |19/73
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| | 13/50
| |13/50
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| | 312
| |312
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| | 20/77
| |20/77
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| |311.595
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| | 311.595
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|-
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| | 7/27
| |7/27
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| | 15/58
| |15/58
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| | 310.345
| | 310.345
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| | 8/31
| |8/31
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Line 237: Line 239:
| | 309.677
| | 309.677
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| | 9/35
| |9/35
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| | 308.286
| |308.286
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|11/43
|11/43
|306.977
| 306.977
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| | 1/4
| |1/4
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| | 300
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| |300
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|}
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]
[[Category:Myna]]
[[Category:Myna]]
[[Category:Starling]]
[[Category:Starling]]

Revision as of 03:02, 22 February 2024

↖ 3L 14s ↑ 4L 14s 5L 14s ↗
← 3L 15s 4L 15s 5L 15s →
↙ 3L 16s ↓ 4L 16s 5L 16s ↘ 
┌╥┬┬┬╥┬┬┬┬╥┬┬┬┬╥┬┬┬┬┐
│║│││║││││║││││║│││││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsssLssssLssssLssss
ssssLssssLssssLsssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 14\19 to 3\4 (884.2 ¢ to 900.0 ¢)
Dark 1\4 to 5\19 (300.0 ¢ to 315.8 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 4:1 to 1:0 (ultrahard)
Related MOS scales
Parent 4L 11s
Sister 15L 4s
Daughters 19L 4s, 4L 19s
Neutralized 8L 11s
2-Flought 23L 15s, 4L 34s
Equal tunings
Equalized (L:s = 1:1) 14\19 (884.2 ¢)
Supersoft (L:s = 4:3) 45\61 (885.2 ¢)
Soft (L:s = 3:2) 31\42 (885.7 ¢)
Semisoft (L:s = 5:3) 48\65 (886.2 ¢)
Basic (L:s = 2:1) 17\23 (887.0 ¢)
Semihard (L:s = 5:2) 37\50 (888.0 ¢)
Hard (L:s = 3:1) 20\27 (888.9 ¢)
Superhard (L:s = 4:1) 23\31 (890.3 ¢)
Collapsed (L:s = 1:0) 3\4 (900.0 ¢)

4L 15s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 4 large steps and 15 small steps, repeating every octave. 4L 15s is a great-grandchild scale of 4L 3s, expanding it by 12 tones. Generators that produce this scale range from 884.2 ¢ to 900 ¢, or from 300 ¢ to 315.8 ¢. Around -2g = 7/5, myna/starling appears[clarification needed].

5/19 315.7895
31/118 315.254
26/99 315.1515
21/80 315
16/61 314.754
27/103 314.563
11/42 314.2857
100*pi
50/191 314.136
314.096
39/149 314.094
28/107 314,019
313.972
17/65 313.769
313.681
23/88 313.5455
6/23 313.0435
19/73 312.329
13/50 312
311.778
20/77 311.688
311.595
7/27 311.111
310.883
15/58 310.345
8/31 309.677
9/35 308.286
10/39 307.692
11/43 306.977
1/4 300
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