12L 12s: Difference between revisions

Overthink (talk | contribs)
Scale tree: more optimal tunings (7-limit catler and 5-limit compton, since higher limits are less accessible within 12L 12s)
Overthink (talk | contribs)
Intervals: grammar; change some writing
 
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=== 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}}