2L 17s: Difference between revisions

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Ganaram inukshuk (talk | contribs)
Mos intro, infobox mos
Ganaram inukshuk (talk | contribs)
Replaced scale tree
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{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
This is the MOS where the small steps divide 9-8 between the large steps. The generator is a tritone of no less than 9/19edo (568.421 cents), having minimum harmonic entropy at 7/5,
This is the MOS where the small steps divide 9-8 between the large steps. The generator is a tritone of no less than 9/19edo (568.421 cents), having minimum harmonic entropy at 7/5.


{| class="wikitable"
{{Scale tree}}
|-
| | 1/2
| |
| |
| |
| |
| | 600
|-
| |
| |
| |
| |
| | 13/27
| | 577.777
|-
| |
| |
| |
| | 12/25
| |
| | 576
|-
| |
| |
| |
| |
| | 23/48
| | 575
|-
| |
| |
| |
| |
| |
| | 574.23
|-
| |
| |
| | 11/23
| |
| |
| | 573.913
|-
| |
| |
| |
| |
| |
| | 573.258
|-
| |
| |
| |
| |
| | 32/67
| | 573.134
|-
| |
| |
| |
| |
| |
| | 573.017
|-
| |
| |
| |
| | 21/44
| |
| | 572.727
|-
| |
| |
| |
| |
| | 31/65
| | 572,308
|-
| |
| | 10/21
| |
| |
| |
| | 571.429
|-
| |
| |
| |
| |
| | 39/82
| | 570.732
|-
| |
| |
| |
| |
| |
| | 570.688
|-
| |
| |
| |
| | 29/61
| |
| | 570.492
|-
| |
| |
| |
| |
| |
| | 570.35
|-
| |
| |
| |
| |
| | 48/101
| | 570,297
|-
| |
| |
| |
| |
| |
| | 570.211
|-
| |
| |
| | 19/40
| |
| |
| | 570
|-
| |
| |
| |
| |
| | 47/99
| | 569 23/33
|-
| |
| |
| |
| | 28/59
| |
| | 569 29/59
|-
| |
| |
| |
| |
| | 37/78
| | 569 3/13
|-
| | 9/19
| |
| |
| |
| |
| | 568 8/19
|}
[[Category:Abstract MOS patterns]]
[[Category:Abstract MOS patterns]]

Revision as of 20:06, 29 February 2024

↖ 1L 16s ↑ 2L 16s 3L 16s ↗
← 1L 17s 2L 17s 3L 17s →
↙ 1L 18s ↓ 2L 18s 3L 18s ↘
┌╥┬┬┬┬┬┬┬┬╥┬┬┬┬┬┬┬┬┬┐
│║││││││││║││││││││││
│││││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssssssssLsssssssss
sssssssssLssssssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 9\19 to 1\2 (568.4 ¢ to 600.0 ¢)
Dark 1\2 to 10\19 (600.0 ¢ to 631.6 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 6:1 to 1:0
Related MOS scales
Parent 2L 15s
Sister 17L 2s
Daughters 19L 2s, 2L 19s
Neutralized 4L 15s
2-Flought 21L 17s, 2L 36s
Equal tunings
Equalized (L:s = 1:1) 9\19 (568.4 ¢)
Supersoft (L:s = 4:3) 28\59 (569.5 ¢)
Soft (L:s = 3:2) 19\40 (570.0 ¢)
Semisoft (L:s = 5:3) 29\61 (570.5 ¢)
Basic (L:s = 2:1) 10\21 (571.4 ¢)
Semihard (L:s = 5:2) 21\44 (572.7 ¢)
Hard (L:s = 3:1) 11\23 (573.9 ¢)
Superhard (L:s = 4:1) 12\25 (576.0 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)

2L 17s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 17 small steps, repeating every octave. 2L 17s is related to 2L 7s, expanding it by 10 tones. Generators that produce this scale range from 568.4 ¢ to 600 ¢, or from 600 ¢ to 631.6 ¢. This is the MOS where the small steps divide 9-8 between the large steps. The generator is a tritone of no less than 9/19edo (568.421 cents), having minimum harmonic entropy at 7/5.

Template:Scale tree