11L 4s: Difference between revisions

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The interval which generates this MOS is a sharp 6/5 of height 4/15edo (320 cents) to 3/11edo (327.273). At its harmonic entropy minimum, 7 equals +3 generators.
{{Infobox MOS
| Other names =
| Periods = 1
| nLargeSteps = 11
| nSmallSteps = 4
| Equalized = 4
| Paucitonic = 3
| Pattern = LLLLLsLLLLLs
}}
The '''11L 4s''' [[MOS scale]] is generated by a minor third slightly sharp of [[6/5]], between 4\15 (320{{cent}}) and 3\11 (327.273{{cent}}). At its harmonic entropy minimum, the octave-reduced 7th [[harmonic]] equals +3 generators.


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

Revision as of 04:06, 16 August 2022

↖ 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 ¢)
View • Talk • Edit

The 11L 4s MOS scale is generated by a minor third slightly sharp of 6/5, between 4\15 (320 ¢) and 3\11 (327.273 ¢). At its harmonic entropy minimum, the octave-reduced 7th harmonic equals +3 generators.

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
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