28edo: Difference between revisions

Yourmusic Productions (talk | contribs)
m Intervals: Complete ratios table.
Yourmusic Productions (talk | contribs)
Some scales: Talk on the suitability of 28edo to whitewood.
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=Some scales=
=Scales=
28edo is particularly well suited to Whitewood in the same way that 15edo is for Blackwood, as it has one third that is heavily tempered, but in a familiar way shared with 12edo, while the other one is significantly closer to just. This makes the 5ths more out of tune, but in a useful way, as you can stack major and minor thirds indefinitely until they repeat 4 octaves and 14 notes up, producing one of the largest nonrepeating harmonious chords possible in an edo this low. This produces mode of symmetry scales with two different modes and 4 different keys, making it equally easy to establish any chord in the scale as the root and modulate between them.
 
Whitewood Major [14] 13131313131313
 
Whitewood Minor [14] 31313131313131
 
(Whitewood neutral is also theoretically possible, stacking neutral or subminor & supermajor thirds, but in practice that works out as 22222222222222, or 14edo, so it doesn't count as a 28edo scale)
 
[[machine5|machine5]]
[[machine5|machine5]]