7L 12s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
KingHyperio (talk | contribs)
autopatrolled, emailconfirmed
213 edits
No edit summary
Tags: Mobile edit Mobile web edit
→Scale tree: adopt the template
Line 7: Line 7:


== Scale tree ==
== Scale tree ==
Generator ranges:
{{Scale tree|Comments=
* Chroma-positive generator: 505.2632 cents (8\19) to 514.2857 cents (3\7)
3/2: [[Flattone]];
* Chroma-negative generator: 685.7143 cents (4\7) to 694.7368 cents (11\19)
13/8: Golden flattone (506.9365¢);
 
13/5: Unnamed golden tuning (508.6329¢);
{| 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 ||
|-
| || || || || 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 <br>(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 ||
|}


[[Category:19-tone scales]]
[[Category:19-tone scales]]
[[Category:Mega chromatic scales]]
[[Category:Mega chromatic scales]]

Revision as of 10:24, 7 August 2024

Todo: review

Adopt scale tree template, review entries

↖ 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 ¢)

7L 12s, also called f-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 7 large steps and 12 small steps, repeating every octave. 7L 12s is a grandchild scale of 5L 2s, expanding it by 12 tones. Generators that produce this scale range from 505.3 ¢ to 514.3 ¢, or from 685.7 ¢ to 694.7 ¢. Temperaments associated with this scale include flattone, as the flattone enharmonic scale.

Modes

Modes of 7L 12s
UDP Cyclic
order		 Step
pattern
18|0 1 LsLssLssLsLssLssLss
17|1 9 LsLssLssLssLsLssLss
16|2 17 LssLsLssLssLsLssLss
15|3 6 LssLsLssLssLssLsLss
14|4 14 LssLssLsLssLssLsLss
13|5 3 LssLssLsLssLssLssLs
12|6 11 LssLssLssLsLssLssLs
11|7 19 sLsLssLssLsLssLssLs
10|8 8 sLsLssLssLssLsLssLs
9|9 16 sLssLsLssLssLsLssLs
8|10 5 sLssLsLssLssLssLsLs
7|11 13 sLssLssLsLssLssLsLs
6|12 2 sLssLssLsLssLssLssL
5|13 10 sLssLssLssLsLssLssL
4|14 18 ssLsLssLssLsLssLssL
3|15 7 ssLsLssLssLssLsLssL
2|16 15 ssLssLsLssLssLsLssL
1|17 4 ssLssLsLssLssLssLsL
0|18 12 ssLssLssLsLssLssLsL

Scale tree

Template:Scale tree

Retrieved from "https://en.xen.wiki/index.php?title=7L_12s&oldid=149718"