Lumatone mapping for 89edo: Difference between revisions
m →Char-based + Sesquart rank-3 temperament: Add step ratio |
→Diatonic: The diatonic mapping can be used for playing in a very good quasi-meantone — added demo video |
||
| Line 2: | Line 2: | ||
== Diatonic == | == Diatonic == | ||
Note that since 89edo is a [[schismatic]] tuning, the best approximation to 5/4 is the diminished fourth. | Note that since 89edo is a [[schismatic]] tuning, the best approximation to ~[[5/4]] is the diminished fourth. That said, since the fifth ~[3/2] is flattened by almost exactly one quarer of Boethius' comma [[513/512]], the meantone major third is almost exactly Boethius' major third ~[[24/19]], and since one third of such a small comma is not very far off from one fourth, the corresponding minor third ~[[19/16]] is also not too far from just. Using 89edo as a quasi-meantone tuning with the extremely accurate ~[[24/19]] substituting for the less accurate ~5/4 will enable many chords to be played despite the missing notes, as demonstrated in [https://www.youtube.com/shorts/mU4KcJd6E7U ''89edo improv''] (2026), and it would be possible to switch between presets for different subsets of 89edo to enable modulation to remote keys. | ||
{{Lumatone EDO mapping|n=89|start=2|xstep=15|ystep=-8}} | {{Lumatone EDO mapping|n=89|start=2|xstep=15|ystep=-8}} | ||