16L 3s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Ganaram inukshuk (talk | contribs)
Mos intro
Ganaram inukshuk (talk | contribs)
Replaced scale tree
Line 10: Line 10:
{{MOS intro}}
{{MOS intro}}
The '''16L 3s''' [[MOS scale]] divides its large steps 6-5-5 between its small steps.  
The '''16L 3s''' [[MOS scale]] divides its large steps 6-5-5 between its small steps.  
{| class="wikitable"
{{Scale tree}}
|-
| | 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
|}
 
[[Category:19-tone scales]]
[[Category:19-tone scales]]

Revision as of 20:03, 29 February 2024

↖ 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 ¢)

16L 3s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 16 large steps and 3 small steps, repeating every octave. 16L 3s is a great-grandchild scale of 3L 7s, expanding it by 9 tones. Generators that produce this scale range from 821.1 ¢ to 825 ¢, or from 375 ¢ to 378.9 ¢. The 16L 3s MOS scale divides its large steps 6-5-5 between its small steps. Template:Scale tree