2L 9s: Difference between revisions

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Tree: Replaced scale tree, removed irrational step ratios in the process
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{{MOS modes}}
{{MOS modes}}


== Tree ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}
|-
| | 5/11
| |
| |
| |
| |
| | 545.4545
|-
| |
| |
| |
| |
| | 21/46
| | 547.826
|-
| |
| |
| |
| | 16/35
| |
| | 548.571
|-
| |
| |
| |
| |
| | 27/59
| | 549.1525
|-
| |
| |
| | 11/24
| |
| |
| | 550
|-
| |
| |
| |
| |
| |
| | 550.583 (L/s = pi/2)
|-
| |
| |
| |
| |
| | 28/61
| | 550.82
|-
| |
| |
| |
| |
| |
| | 550.965 (L/s = phi)
|-
| |
| |
| |
| | 17/37
| |
| | 551.351
|-
| |
| |
| |
| |
| |
| | 551.862 (L/s = sqrt(3))
|-
| |
| |
| |
| |
| | 23/50
| | 552
|-
| |
| | 6/13
| |
| |
| |
| | 553.846
|-
| |
| |
| |
| |
| | 19/41
| | 556.976
|-
| |
| |
| |
| | 13/28
| |
| | 557.143
|-
| |
| |
| |
| |
| |
| | 557.8535 (L/s = phi+1)
|-
| |
| |
| |
| |
| | 20/43
| | 558.1395
|-
| |
| |
| |
| |
| |
| | 558.439 (L/s = e)
|-
| |
| |
| | 7/15
| |
| |
| | 560
|-
| |
| |
| |
| |
| |
| | 560.741 (L/s = pi)
|-
| |
| |
| |
| |
| | 15/32
| | 562.5
|-
| |
| |
| |
| | 8/17
| |
| | 564.706
|-
| |
| |
| |
| |
| | 9/19
| | 568.421
|-
| | 1/2
| |
| |
| |
| |
| | 600
|}
 
[[Category:11-tone scales]]
[[Category:11-tone scales]]

Revision as of 00:28, 19 February 2024

↖ 1L 8s ↑ 2L 8s 3L 8s ↗
← 1L 9s 2L 9s 3L 9s →
↙ 1L 10s ↓ 2L 10s 3L 10s ↘
┌╥┬┬┬┬╥┬┬┬┬┬┐
│║││││║││││││
│││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssssLsssss
sssssLssssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 5\11 to 1\2 (545.5 ¢ to 600.0 ¢)
Dark 1\2 to 6\11 (600.0 ¢ to 654.5 ¢)
TAMNAMS information
Related to 2L 7s (balzano)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 2L 7s
Sister 9L 2s
Daughters 11L 2s, 2L 11s
Neutralized 4L 7s
2-Flought 13L 9s, 2L 20s
Equal tunings
Equalized (L:s = 1:1) 5\11 (545.5 ¢)
Supersoft (L:s = 4:3) 16\35 (548.6 ¢)
Soft (L:s = 3:2) 11\24 (550.0 ¢)
Semisoft (L:s = 5:3) 17\37 (551.4 ¢)
Basic (L:s = 2:1) 6\13 (553.8 ¢)
Semihard (L:s = 5:2) 13\28 (557.1 ¢)
Hard (L:s = 3:1) 7\15 (560.0 ¢)
Superhard (L:s = 4:1) 8\17 (564.7 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)

2L 9s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 9 small steps, repeating every octave. 2L 9s is a child scale of 2L 7s, expanding it by 2 tones. Generators that produce this scale range from 545.5 ¢ to 600 ¢, or from 600 ¢ to 654.5 ¢. This MOS reaches a harmonic entropy minimum when the generator is 7/5. It represents temperaments like Tritonic, Triton, Heinz and Liese.

Modes

Modes of 2L 9s
UDP Cyclic
order
Step
pattern
10|0 1 LssssLsssss
9|1 6 LsssssLssss
8|2 11 sLssssLssss
7|3 5 sLsssssLsss
6|4 10 ssLssssLsss
5|5 4 ssLsssssLss
4|6 9 sssLssssLss
3|7 3 sssLsssssLs
2|8 8 ssssLssssLs
1|9 2 ssssLsssssL
0|10 7 sssssLssssL

Scale tree

Template:Scale tree