16L 3s: Difference between revisions

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Infobox MOS, improve lead section, categories
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This MOS divides its <span style="line-height: 15.6000003814697px;">large</span><span style="line-height: 1.5;"> steps 5-5-6 between its </span><span style="line-height: 15.6000003814697px;">small</span><span style="line-height: 1.5;"> steps. It has a generator in the very narrow range between 5/16edo (375) and 6/19edo (378.947 cents).</span>
{{Infobox MOS
| Other names =
| Periods = 1
| nLargeSteps = 16
| nSmallSteps = 3
| Equalized = 13
| Collapsed = 11
| Pattern = LLLLLLsLLLLLsLLLLLs
}}
The '''16L 3s''' [[MOS scale]] divides its large steps 6-5-5 between its small steps. It has a generator in the very narrow range between 5/16edo (375{{cent}}) and 6/19edo (378.947{{cent}}).


{| class="wikitable"
{| class="wikitable"
Line 29: Line 38:
| |  
| |  
| | 37/118
| | 37/118
| | 376,271
| | 376.271
|-
|-
| |  
| |  
Line 171: Line 180:
| | 378.947
| | 378.947
|}
|}
[[Category:19-tone scales]]

Revision as of 16:04, 6 January 2023

↖ 15L 2s ↑ 16L 2s 17L 2s ↗
← 15L 3s 16L 3s 17L 3s →
↙ 15L 4s ↓ 16L 4s 17L 4s ↘
┌╥╥╥╥╥╥┬╥╥╥╥╥┬╥╥╥╥╥┬┐
│║║║║║║│║║║║║│║║║║║││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLLLsLLLLLsLLLLLs
sLLLLLsLLLLLsLLLLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 13\19 to 11\16 (821.1 ¢ to 825.0 ¢)
Dark 5\16 to 6\19 (375.0 ¢ to 378.9 ¢)
TAMNAMS information
Related to 3L 7s (sephiroid)
With tunings 3:1 to 4:1 (parahard)
Related MOS scales
Parent 3L 13s
Sister 3L 16s
Daughters 19L 16s, 16L 19s
Neutralized 13L 6s
2-Flought 35L 3s, 16L 22s
Equal tunings
Equalized (L:s = 1:1) 13\19 (821.1 ¢)
Supersoft (L:s = 4:3) 50\73 (821.9 ¢)
Soft (L:s = 3:2) 37\54 (822.2 ¢)
Semisoft (L:s = 5:3) 61\89 (822.5 ¢)
Basic (L:s = 2:1) 24\35 (822.9 ¢)
Semihard (L:s = 5:2) 59\86 (823.3 ¢)
Hard (L:s = 3:1) 35\51 (823.5 ¢)
Superhard (L:s = 4:1) 46\67 (823.9 ¢)
Collapsed (L:s = 1:0) 11\16 (825.0 ¢)

The 16L 3s MOS scale divides its large steps 6-5-5 between its small steps. It has a generator in the very narrow range between 5/16edo (375 ¢) and 6/19edo (378.947 ¢).

5/16 375
26/83 375.904
21/67 376.119
37/118 376.271
376.409
16/51 376.471
376.613
43/137 376.642
376.671
27/86 376.744
38/121 376.8595
120*pi
11/35 377.143
39/124 377.419
377.442
28/89 377.528
377.596
45/143 377.662
377.666
17/54 377.778
40/127 377.953
23/73 378.082
29/92 378.261
6/19 378.947