5L 11s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
m Cleanup
Line 2: Line 2:
{{MOS intro}}
{{MOS intro}}


This MOS has a large "diatonic" whole tone of 3/[[16edo]] (225 [[cents]]) to 1/[[5edo]] (240 cents) as a generator. Converging to 5edo as it becomes ever more improper, it moves from [[Gorgo]] into [[Slendric]] (the [[2.3.7]] temperament which [[tempers out]] the gamelisma of [[1029/1024]]).
This mos has a large "diatonic" whole tone of 3\[[16edo]] (225 [[cents]]) to 1\[[5edo]] (240 cents) as a generator. Converging to 5edo as it becomes ever more improper, it moves from [[gorgo]] into [[slendric]] (the [[2.3.7 subgroup|2.3.7-subgroup]] temperament which [[tempering out|tempers out]] the gamelisma of [[1029/1024]]).


== Modes ==
== Modes ==
Line 13: Line 13:
{{Scale tree}}
{{Scale tree}}


{{todo|expand}}
{{Todo|expand}}

Revision as of 16:58, 17 January 2025

↖ 4L 10s ↑ 5L 10s 6L 10s ↗
← 4L 11s 5L 11s 6L 11s →
↙ 4L 12s ↓ 5L 12s 6L 12s ↘
┌╥┬┬╥┬┬╥┬┬╥┬┬╥┬┬┬┐
│║││║││║││║││║││││
││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LssLssLssLssLsss
sssLssLssLssLssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\16 to 1\5 (225.0 ¢ to 240.0 ¢)
Dark 4\5 to 13\16 (960.0 ¢ to 975.0 ¢)
TAMNAMS information
Related to 5L 1s (machinoid)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 5L 6s
Sister 11L 5s
Daughters 16L 5s, 5L 16s
Neutralized 10L 6s
2-Flought 21L 11s, 5L 27s
Equal tunings
Equalized (L:s = 1:1) 3\16 (225.0 ¢)
Supersoft (L:s = 4:3) 10\53 (226.4 ¢)
Soft (L:s = 3:2) 7\37 (227.0 ¢)
Semisoft (L:s = 5:3) 11\58 (227.6 ¢)
Basic (L:s = 2:1) 4\21 (228.6 ¢)
Semihard (L:s = 5:2) 9\47 (229.8 ¢)
Hard (L:s = 3:1) 5\26 (230.8 ¢)
Superhard (L:s = 4:1) 6\31 (232.3 ¢)
Collapsed (L:s = 1:0) 1\5 (240.0 ¢)

5L 11s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 5 large steps and 11 small steps, repeating every octave. 5L 11s is a grandchild scale of 5L 1s, expanding it by 10 tones. Generators that produce this scale range from 225 ¢ to 240 ¢, or from 960 ¢ to 975 ¢.

This mos has a large "diatonic" whole tone of 3\16edo (225 cents) to 1\5edo (240 cents) as a generator. Converging to 5edo as it becomes ever more improper, it moves from gorgo into slendric (the 2.3.7-subgroup temperament which tempers out the gamelisma of 1029/1024).

Modes

Modes of 5L 11s
UDP Cyclic
order
Step
pattern
15|0 1 LssLssLssLssLsss
14|1 4 LssLssLssLsssLss
13|2 7 LssLssLsssLssLss
12|3 10 LssLsssLssLssLss
11|4 13 LsssLssLssLssLss
10|5 16 sLssLssLssLssLss
9|6 3 sLssLssLssLsssLs
8|7 6 sLssLssLsssLssLs
7|8 9 sLssLsssLssLssLs
6|9 12 sLsssLssLssLssLs
5|10 15 ssLssLssLssLssLs
4|11 2 ssLssLssLssLsssL
3|12 5 ssLssLssLsssLssL
2|13 8 ssLssLsssLssLssL
1|14 11 ssLsssLssLssLssL
0|15 14 sssLssLssLssLssL

Intervals

Intervals of 5L 11s
Intervals Steps
subtended
Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0 ¢
1-mosstep Minor 1-mosstep m1ms s 0.0 ¢ to 75.0 ¢
Major 1-mosstep M1ms L 75.0 ¢ to 240.0 ¢
2-mosstep Minor 2-mosstep m2ms 2s 0.0 ¢ to 150.0 ¢
Major 2-mosstep M2ms L + s 150.0 ¢ to 240.0 ¢
3-mosstep Diminished 3-mosstep d3ms 3s 0.0 ¢ to 225.0 ¢
Perfect 3-mosstep P3ms L + 2s 225.0 ¢ to 240.0 ¢
4-mosstep Minor 4-mosstep m4ms L + 3s 240.0 ¢ to 300.0 ¢
Major 4-mosstep M4ms 2L + 2s 300.0 ¢ to 480.0 ¢
5-mosstep Minor 5-mosstep m5ms L + 4s 240.0 ¢ to 375.0 ¢
Major 5-mosstep M5ms 2L + 3s 375.0 ¢ to 480.0 ¢
6-mosstep Minor 6-mosstep m6ms L + 5s 240.0 ¢ to 450.0 ¢
Major 6-mosstep M6ms 2L + 4s 450.0 ¢ to 480.0 ¢
7-mosstep Minor 7-mosstep m7ms 2L + 5s 480.0 ¢ to 525.0 ¢
Major 7-mosstep M7ms 3L + 4s 525.0 ¢ to 720.0 ¢
8-mosstep Minor 8-mosstep m8ms 2L + 6s 480.0 ¢ to 600.0 ¢
Major 8-mosstep M8ms 3L + 5s 600.0 ¢ to 720.0 ¢
9-mosstep Minor 9-mosstep m9ms 2L + 7s 480.0 ¢ to 675.0 ¢
Major 9-mosstep M9ms 3L + 6s 675.0 ¢ to 720.0 ¢
10-mosstep Minor 10-mosstep m10ms 3L + 7s 720.0 ¢ to 750.0 ¢
Major 10-mosstep M10ms 4L + 6s 750.0 ¢ to 960.0 ¢
11-mosstep Minor 11-mosstep m11ms 3L + 8s 720.0 ¢ to 825.0 ¢
Major 11-mosstep M11ms 4L + 7s 825.0 ¢ to 960.0 ¢
12-mosstep Minor 12-mosstep m12ms 3L + 9s 720.0 ¢ to 900.0 ¢
Major 12-mosstep M12ms 4L + 8s 900.0 ¢ to 960.0 ¢
13-mosstep Perfect 13-mosstep P13ms 4L + 9s 960.0 ¢ to 975.0 ¢
Augmented 13-mosstep A13ms 5L + 8s 975.0 ¢ to 1200.0 ¢
14-mosstep Minor 14-mosstep m14ms 4L + 10s 960.0 ¢ to 1050.0 ¢
Major 14-mosstep M14ms 5L + 9s 1050.0 ¢ to 1200.0 ¢
15-mosstep Minor 15-mosstep m15ms 4L + 11s 960.0 ¢ to 1125.0 ¢
Major 15-mosstep M15ms 5L + 10s 1125.0 ¢ to 1200.0 ¢
16-mosstep Perfect 16-mosstep P16ms 5L + 11s 1200.0 ¢

Scale tree

Template:Scale tree