11L 4s: Difference between revisions

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Replaced scale tree
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{{MOS modes}}
{{MOS modes}}
== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}
|-
| 4/15
|
|
|
|
| 320
|-
|
|
|
|
| 19/71
| 321.127
|-
|
|
|
| 15/56
|
| 321.429
|-
|
|
|
|
| 26/97
| 321.6495
|-
|
|
| 11/41
|
|
| 321.951
|-
|
|
|
|
|
| 322.146
|-
|
|
|
|
| 29/108
| 322.222
|-
|
|
|
|
|
| 322.268
|-
|
|
|
| 18/67
|
| 322.388
|-
|
|
|
|
|
| 322.5405
|-
|
|
|
|
| 25/93
| 322.581
|-
|
| 7/26
|
|
|
| 323.077
|-
|
|
|
|
| 24/89
| 323.5955
|-
|
|
|
| 17/63
|
| 323.8095
|-
|
|
|
|
|
| 323.947
|-
|
|
|
|
| 27/100
| 324
|-
|
|
|
|
|
| 324.055
|-
|
|
| 10/37
|
|
| 324.324
|-
|
|
|
|
|
| 324.443
|-
|
|
|
|
| 23/85
| 324.706
|-
|
|
|
| 13/48
|
| 325
|-
|
|
|
|
| 16/59
| 325.424
|-
| 3/11
|
|
|
|
| 327.273
|}
 
[[Category:15-tone scales]]
[[Category:15-tone scales]]

Revision as of 05:26, 29 February 2024

↖ 10L 3s ↑ 11L 3s 12L 3s ↗
← 10L 4s 11L 4s 12L 4s →
↙ 10L 5s ↓ 11L 5s 12L 5s ↘
┌╥╥╥┬╥╥╥┬╥╥╥┬╥╥┬┐
│║║║│║║║│║║║│║║││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLLsLLLsLLs
sLLsLLLsLLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 4\15 to 3\11 (320.0 ¢ to 327.3 ¢)
Dark 8\11 to 11\15 (872.7 ¢ to 880.0 ¢)
TAMNAMS information
Related to 4L 3s (smitonic)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 4L 7s
Sister 4L 11s
Daughters 15L 11s, 11L 15s
Neutralized 7L 8s
2-Flought 26L 4s, 11L 19s
Equal tunings
Equalized (L:s = 1:1) 4\15 (320.0 ¢)
Supersoft (L:s = 4:3) 15\56 (321.4 ¢)
Soft (L:s = 3:2) 11\41 (322.0 ¢)
Semisoft (L:s = 5:3) 18\67 (322.4 ¢)
Basic (L:s = 2:1) 7\26 (323.1 ¢)
Semihard (L:s = 5:2) 17\63 (323.8 ¢)
Hard (L:s = 3:1) 10\37 (324.3 ¢)
Superhard (L:s = 4:1) 13\48 (325.0 ¢)
Collapsed (L:s = 1:0) 3\11 (327.3 ¢)

11L 4s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 11 large steps and 4 small steps, repeating every octave. 11L 4s is a grandchild scale of 4L 3s, expanding it by 8 tones. Generators that produce this scale range from 320 ¢ to 327.3 ¢, or from 872.7 ¢ to 880 ¢. The bright generator represents a minor third slightly sharp of 6/5 (315.6¢). At its harmonic entropy minimum, the octave-reduced 7th harmonic (about 968¢) equals 3 of these generators.

Modes

Modes of 11L 4s
UDP Cyclic
order
Step
pattern
14|0 1 LLLsLLLsLLLsLLs
13|1 5 LLLsLLLsLLsLLLs
12|2 9 LLLsLLsLLLsLLLs
11|3 13 LLsLLLsLLLsLLLs
10|4 2 LLsLLLsLLLsLLsL
9|5 6 LLsLLLsLLsLLLsL
8|6 10 LLsLLsLLLsLLLsL
7|7 14 LsLLLsLLLsLLLsL
6|8 3 LsLLLsLLLsLLsLL
5|9 7 LsLLLsLLsLLLsLL
4|10 11 LsLLsLLLsLLLsLL
3|11 15 sLLLsLLLsLLLsLL
2|12 4 sLLLsLLLsLLsLLL
1|13 8 sLLLsLLsLLLsLLL
0|14 12 sLLsLLLsLLLsLLL

Scale tree

Template:Scale tree