12L 2s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Wikispaces>FREEZE
No edit summary
+Infobox, name still missing, misc. edits
Line 1: Line 1:
This MOS, being two periods of 6L 1s, is always proper. It appears as the mega chromatic scale of Injera temperament, meaning that its harmonic entropy is where +4 generators equals 5/4 (simple) or +10 generators equals 5/3 (complex).
{{Infobox MOS
| Other names =
| Periods = 2
| nLargeSteps = 12
| nSmallSteps = 2
| Equalized = 1
| Paucitonic = 1
| Pattern = LLLLLLsLLLLLLs
}}
The '''12L 2s''' (or '''6L 1s<1\2>''') [[MOS scale]] contains two [[6L 1s]] patterns per octave.


Its generator is a neutral semitone of 1/14edo (85.714 cents) to 1/12edo (100).
It is always proper. It appears as the mega chromatic scale of [[injera]] temperament, meaning that its harmonic entropy is where +4 generators equals [[5/4]] (simple) or +10 generators equals [[5/3]] (complex).


Its generator is a neutral semitone of 1\14 (85.714{{cent}}) to 1\12 (100{{cent}}).
== Scale tree ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1/14
| 1/14
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 85.714
| 85.714
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5/68
| 5/68
| | 88.235
| 88.235
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 4/54
| 4/54
| |  
|  
| | 88.889
| 88.889
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/94
| 7/94
| | 89.362
| 89.362
|-
|-
| |  
|  
| |  
|  
| | 3/40
| 3/40
| |  
|  
| |  
|  
| | 90
| 90
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 90.4075
| 90.4075
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 8/106
| 8/106
| | 90.566
| 90.566
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 90.661
| 90.661
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/66
| 5/66
| |  
|  
| | 90.909
| 90.909
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 91.221
| 91.221
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/92
| 7/92
| | 91.304
| 91.304
|-
|-
| |  
|  
| | 2/26
| 2/26
| |  
|  
| |  
|  
| |  
|  
| | 92.308
| 92.308
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/90
| 7/90
| | 93.33
| 93.33
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 94.015
| 94.015
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/64
| 5/64
| |  
|  
| | 93.75
| 93.75
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 94.223
| 94.223
|-
|-
| |  
|  
| |  
|  
| | 3/38
| 3/38
| |  
|  
| |  
|  
| | 94.737
| 94.737
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 94.962
| 94.962
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/88
| 7/88
| | 95.4545
| 95.4545
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 4/50
| 4/50
| |  
|  
| | 96
| 96
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5/62
| 5/62
| | 96.774
| 96.774
|-
|-
| | 1/12
| 1/12
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 100
| 100
|}
|}

Revision as of 03:31, 17 August 2022

↖ 11L 1s ↑ 12L 1s 13L 1s ↗
← 11L 2s 12L 2s 13L 2s →
↙ 11L 3s ↓ 12L 3s 13L 3s ↘
Scale structure
Step pattern LLLLLLsLLLLLLs
sLLLLLLsLLLLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\14 to 1\12 (85.7 ¢ to 100.0 ¢)
Dark 5\12 to 6\14 (500.0 ¢ to 514.3 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 2L 10s
Sister 2L 12s
Daughters 14L 12s, 12L 14s
Neutralized 10L 4s
2-Flought 26L 2s, 12L 16s
Equal tunings
Equalized (L:s = 1:1) 1\14 (85.7 ¢)
Supersoft (L:s = 4:3) 4\54 (88.9 ¢)
Soft (L:s = 3:2) 3\40 (90.0 ¢)
Semisoft (L:s = 5:3) 5\66 (90.9 ¢)
Basic (L:s = 2:1) 2\26 (92.3 ¢)
Semihard (L:s = 5:2) 5\64 (93.8 ¢)
Hard (L:s = 3:1) 3\38 (94.7 ¢)
Superhard (L:s = 4:1) 4\50 (96.0 ¢)
Collapsed (L:s = 1:0) 1\12 (100.0 ¢)
ViewTalkEdit

The 12L 2s (or 6L 1s<1\2>) MOS scale contains two 6L 1s patterns per octave.

It is always proper. It appears as the mega chromatic scale of injera temperament, meaning that its harmonic entropy is where +4 generators equals 5/4 (simple) or +10 generators equals 5/3 (complex).

Its generator is a neutral semitone of 1\14 (85.714 ¢) to 1\12 (100 ¢).

Scale tree

1/14 85.714
5/68 88.235
4/54 88.889
7/94 89.362
3/40 90
90.4075
8/106 90.566
90.661
5/66 90.909
91.221
7/92 91.304
2/26 92.308
7/90 93.33
94.015
5/64 93.75
94.223
3/38 94.737
94.962
7/88 95.4545
4/50 96
5/62 96.774
1/12 100