12L 12s: Difference between revisions

Overthink (talk | contribs)
Scale tree: description
Overthink (talk | contribs)
Intervals: grammar; change some writing
 
(One intermediate revision by the same user not shown)
Line 10: Line 10:


=== Intervals ===
=== Intervals ===
While 12L 12s can be treated as a 24-form system due to the scale containing 24 notes, it can also sense as two rings of 12edo that differ by a small step. For example, in compton, the small step represents the [[81/80]] comma, which can be used to achieve accurate 5-limit harmony. In catler, the small step represents [[64/63]] and [[36/35]], and inflecting a 12edo minor seventh down by this step gives a more accurate ~[[7/4]], while 5-limit intervals are represented as in 12edo.
While 12L 12s can be treated as a 24-form system due to the scale containing 24 notes, it can also make sense as two rings of 12edo that differ by a small step. For example, in compton, the small step represents the [[81/80]] comma, and inflecting 12edo intervals by this step produces more accurate approximations of 5-limit intervals. In catler, the small step represents [[64/63]] and [[36/35]], and inflecting a 12edo minor seventh down by this step gives a more accurate ~7/4, with other ratios involving harmonic 7 also improved, while intervals within the 5-limit are represented as in 12edo.
{{MOS intervals}}
{{MOS intervals}}


Line 21: Line 21:
{{MOS tuning spectrum
{{MOS tuning spectrum
| 3/2 = [[Duodecim]]
| 3/2 = [[Duodecim]]
| 3/1 = [[Catler]]
| 5/2 = [[Catler]]
| 5/1 = [[Compton]]
| 6/1 = [[Compton]]
}}
}}