5L 3s: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
Line 462: Line 462:


=== Buzzard (48&53, 2.3.5.7) ===
=== Buzzard (48&53, 2.3.5.7) ===
Commas: 1728/1715, 5120/5103
[[POTE_tuning|POTE generator]]: ~320/243 = 475.636
Map: [<1 0 -6 4|, <0 4 21 -3|]
Wedgie: <<4 21 -3 24 -16 -66||
EDOs: 48, 53, 111, 164d, 275d
Badness: 0.0480
== Tritave MOSes with the 5L 3s pattern ==
== Tritave MOSes with the 5L 3s pattern ==
By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.
By a weird coincidence, the other generator for this MOS will generate the same pattern within a tritave equivalence. By yet another weird coincidence, this MOS belongs to a temperament which has [[Bohlen-Pierce|Bohlen-Pierce]] as its index-2 subtemperament. In addition to being harmonious, this tuning of the MOS gives an L/s ratio between 3/1 and 3/2, which is squarely in the middle of the range, being thus neither too exaggerated nor too equalized to be recognizable as such, unlike in octaves, where the only notable harmonic entropy minimum is near a greatly exaggerated 10/1 L/s ratio.