7L 12s: Difference between revisions

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This MOS divides its small steps 2-2-1-2-2-2-1 like the familiar 12edo diatonic scale. The perfect fourth which generates it measures <span style="line-height: 17.7273px;">8/19edo (505.263 cents).</span><span style="line-height: 1.5;"> to </span><span style="line-height: 17.7273px;">3/7edo (514.286)</span>
{{Infobox MOS
| Periods = 1
| nLargeSteps = 7
| nSmallSteps = 12
| Equalized = 8
| Paucitonic = 3
| Pattern = LsLssLssLsLssLssLss
}}


{| class="wikitable"
'''7L 12s''' is the MOS pattern of the [[flattone]] enharmonic or mega-chromatic scale. This MOS separates its large steps by intervals of 2s-2s-2s-1s-2s-2s-1s like the familiar [[12edo]] diatonic scale. The perfect fourth which generates it measures 8\19 (505.263 cents) to 3\7 (514.286 cents).
 
The flattone mega-chromatic scale with generator between 8\19 (505.263 cents) and 11\26 (507.692 cents) is [[Rothenberg propriety|proper]].
 
== Modes ==
* 18|0 LsLssLssLsLssLssLss
* 17|1 LsLssLssLssLsLssLss
* 16|2 LssLsLssLssLsLssLss
* 15|3 LssLsLssLssLssLsLss
* 14|4 LssLssLsLssLssLsLss
* 13|5 LssLssLsLssLssLssLs
* 12|6 LssLssLssLsLssLssLs
* 11|7 sLsLssLssLsLssLssLs
* 10|8 sLsLssLssLssLsLssLs
* 9|9 sLssLsLssLssLsLssLs
* 8|10 sLssLsLssLssLssLsLs
* 7|11 sLssLssLsLssLssLsLs
* 6|12 sLssLssLsLssLssLssL
* 5|13 sLssLssLssLsLssLssL
* 4|14 ssLsLssLssLsLssLssL
* 3|15 ssLsLssLssLssLsLssL
* 2|16 ssLssLsLssLssLsLssL
* 1|17 ssLssLsLssLssLssLsL
* 0|18 ssLssLssLsLssLssLsL
 
== Scale tree ==
Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7)
 
Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19)
 
{| class="wikitable center-all"
! colspan="6" | Generator
! Cents
! L
! s
! L/s
! Comments
|-
| 8\19 || || || || || || 505.263 || 1 || 1 || 1.000 ||
|-
| || || || || || 43\102 || 505.882 || 6 || 5 || 1.200 ||
|-
| || || || || 35\83 || || 506.024 || 5 || 4 || 1.250 ||
|-
| || || || || || 62\147 || 506.122 || 9 || 7 || 1.286 ||
|-
| || || || 27\64 || || || 506.250 || 4 || 3 || 1.333 ||
|-
| || || || || || 73\173 || 506.358 || 11 || 8 || 1.375 ||
|-
| || || || || 46\109 || || 506.422 || 7 || 5 || 1.400 ||
|-
| || || || || || 65\154 || 506.494 || 10 || 7 || 1.428 ||
|-
| || || 19\45 || || || || 506.667 || 3 || 2 || 1.500 || [[Flattone]]
|-
| || || || || || 68\161 || 506.832 || 11 || 7 || 1.571 ||
|-
|-
| | 3/7
| || || || || 49\116 || || 506.897 || 8 || 5 || 1.600 ||
| |  
| |  
| |  
| |  
| | 514.286
|-
|-
| |  
| || || || || || 79\187 || 506.952 || 13 || 8 || 1.625 || Golden flattone (506.9365¢)
| |  
| |  
| |  
| | 20/47
| | 510.638
|-
|-
| |  
| || || || 30\71 || || || 507.042 || 5 || 3 || 1.667 ||
| |  
| |  
| | 17/40
| |  
| | 510
|-
|-
| |  
| || || || || || 71\168 || 507.143 || 12 || 7 || 1.714 ||
| |  
| |  
| |  
| | 31/73
| | 509.589
|-
|-
| |  
| || || || || 41\97 || || 507.216 || 7 || 4 || 1.750 ||
| |  
| |  
| |  
| |  
| | 509.242
|-
|-
| |  
| || || || || || 52\123 || 507.317 || 9 || 5 || 1.800 ||  
| |  
| | 14/33
| |  
| |  
| | 509,091
|-
|-
| |  
| || 11\26 || || || || || 507.692 || 2 || 1 || 2.000 || Basic 7L 12s <br>(Generators smaller than this are proper)
| |  
| |  
| |  
| |  
| | 508.761
|-
|-
| |  
| || || || || || 47\111 || 508.108 || 9 || 4 || 2.250 ||
| |  
| |  
| |  
| | 39/92
| | 508.696
|-
|-
| |  
| || || || || 36\85 || || 508.235 || 7 || 3 || 2.333 ||
| |  
| |  
| |  
| |  
| | 508.633
|-
|-
| |  
| || || || || || 61\144 || 508.333 || 12 || 5 || 2.400 ||
| |  
| |  
| | 25/59
| |  
| | 508.475
|-
|-
| |  
| || || || 25\59 || || || 508.475 || 5 || 2 || 2.500 ||
| |  
| |  
| |  
| | 36/85
| | 508.235
|-
|-
| |  
| || || || || || 64\151 || 508.609 || 13 || 5 || 2.600 || Unnamed golden tuning (508.6329¢)
| | 11/26
| |  
| |  
| |  
| | 507.692
|-
|-
| |  
| || || || || 39\92 || || 508.696 || 8 || 3 || 2.667 ||
| |  
| |  
| |  
| | 41/97
| | 507.2165
|-
|-
| |  
| || || || || || 53\125 || 508.800 || 11 || 4 || 2.750 ||
| |  
| |  
| |  
| |  
| | 507.18
|-
|-
| |  
| || || 14\33 || || || || 509.091 || 3 || 1 || 3.000 ||
| |  
| |  
| | 30/71
| |  
| | 507.042
|-
|-
| |  
| || || || || || 45\106 || 509.434 || 10 || 3 || 3.333 ||
| |  
| |  
| |  
| |  
| | 506.9365
|-
|-
| |  
| || || || || 31\73 || || 509.589 || 7 || 2 || 3.500 ||
| |  
| |  
| |  
| | 49/116
| | 506,897
|-
|-
| |  
| || || || || || 48\113 || 509.735 || 11 || 3 || 3.667 ||
| |  
| |  
| |  
| |  
| | 506.831
|-
|-
| |  
| || || || 17\40 || || || 510.000 || 4 || 1 || 4.000 ||
| |  
| | 19/45
| |  
| |  
| | 506.667
|-
|-
| |  
| || || || || || 37\87 || 510.345 || 9 || 2 || 4.500 ||
| |  
| |  
| |  
| | 46/109
| | 506.422
|-
|-
| |  
| || || || || 20\47 || || 510.638 || 5 || 1 || 5.000 ||
| |  
| |  
| | 27/64
| |  
| | 506.25
|-
|-
| |  
| || || || || || 23\54 || 511.111 || 6 || 1 || 6.000 ||
| |  
| |  
| |  
| | 35/83
| | 506.024
|-
|-
| | 8/19
| 3\7 || || || || || || 514.286 || 1 || 0 || → inf ||
| |  
| |  
| |  
| |  
| | 505.263
|}
|}
[[Category:Scales]]
[[Category:Abstract MOS patterns]]
[[Category:19-tone scales]]
[[Category:Mega chromatic scales]]

Revision as of 00:34, 13 February 2022

↖ 6L 11s ↑ 7L 11s 8L 11s ↗
← 6L 12s 7L 12s 8L 12s →
↙ 6L 13s ↓ 7L 13s 8L 13s ↘
Scale structure
Step pattern LsLssLssLsLssLssLss
ssLssLssLsLssLssLsL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 8\19 to 3\7 (505.3 ¢ to 514.3 ¢)
Dark 4\7 to 11\19 (685.7 ¢ to 694.7 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 1:1 to 3:2 (soft)
Related MOS scales
Parent 7L 5s
Sister 12L 7s
Daughters 19L 7s, 7L 19s
Neutralized 14L 5s
2-Flought 26L 12s, 7L 31s
Equal tunings
Equalized (L:s = 1:1) 8\19 (505.3 ¢)
Supersoft (L:s = 4:3) 27\64 (506.2 ¢)
Soft (L:s = 3:2) 19\45 (506.7 ¢)
Semisoft (L:s = 5:3) 30\71 (507.0 ¢)
Basic (L:s = 2:1) 11\26 (507.7 ¢)
Semihard (L:s = 5:2) 25\59 (508.5 ¢)
Hard (L:s = 3:1) 14\33 (509.1 ¢)
Superhard (L:s = 4:1) 17\40 (510.0 ¢)
Collapsed (L:s = 1:0) 3\7 (514.3 ¢)
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7L 12s is the MOS pattern of the flattone enharmonic or mega-chromatic scale. This MOS separates its large steps by intervals of 2s-2s-2s-1s-2s-2s-1s like the familiar 12edo diatonic scale. The perfect fourth which generates it measures 8\19 (505.263 cents) to 3\7 (514.286 cents).

The flattone mega-chromatic scale with generator between 8\19 (505.263 cents) and 11\26 (507.692 cents) is proper.

Modes

  • 18|0 LsLssLssLsLssLssLss
  • 17|1 LsLssLssLssLsLssLss
  • 16|2 LssLsLssLssLsLssLss
  • 15|3 LssLsLssLssLssLsLss
  • 14|4 LssLssLsLssLssLsLss
  • 13|5 LssLssLsLssLssLssLs
  • 12|6 LssLssLssLsLssLssLs
  • 11|7 sLsLssLssLsLssLssLs
  • 10|8 sLsLssLssLssLsLssLs
  • 9|9 sLssLsLssLssLsLssLs
  • 8|10 sLssLsLssLssLssLsLs
  • 7|11 sLssLssLsLssLssLsLs
  • 6|12 sLssLssLsLssLssLssL
  • 5|13 sLssLssLssLsLssLssL
  • 4|14 ssLsLssLssLsLssLssL
  • 3|15 ssLsLssLssLssLsLssL
  • 2|16 ssLssLsLssLssLsLssL
  • 1|17 ssLssLsLssLssLssLsL
  • 0|18 ssLssLssLsLssLssLsL

Scale tree

Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7)

Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19)

Generator Cents L s L/s Comments
8\19 505.263 1 1 1.000
43\102 505.882 6 5 1.200
35\83 506.024 5 4 1.250
62\147 506.122 9 7 1.286
27\64 506.250 4 3 1.333
73\173 506.358 11 8 1.375
46\109 506.422 7 5 1.400
65\154 506.494 10 7 1.428
19\45 506.667 3 2 1.500 Flattone
68\161 506.832 11 7 1.571
49\116 506.897 8 5 1.600
79\187 506.952 13 8 1.625 Golden flattone (506.9365¢)
30\71 507.042 5 3 1.667
71\168 507.143 12 7 1.714
41\97 507.216 7 4 1.750
52\123 507.317 9 5 1.800
11\26 507.692 2 1 2.000 Basic 7L 12s
(Generators smaller than this are proper)
47\111 508.108 9 4 2.250
36\85 508.235 7 3 2.333
61\144 508.333 12 5 2.400
25\59 508.475 5 2 2.500
64\151 508.609 13 5 2.600 Unnamed golden tuning (508.6329¢)
39\92 508.696 8 3 2.667
53\125 508.800 11 4 2.750
14\33 509.091 3 1 3.000
45\106 509.434 10 3 3.333
31\73 509.589 7 2 3.500
48\113 509.735 11 3 3.667
17\40 510.000 4 1 4.000
37\87 510.345 9 2 4.500
20\47 510.638 5 1 5.000
23\54 511.111 6 1 6.000
3\7 514.286 1 0 → inf
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