Ploidacot/Alpha-tricot: Difference between revisions

Probably the most sensical RTT interpretation of the generator is as [[13/9]], tempering out the comma [[2197/2187]], the threedie, in the 2.3.13 subgroup. This temperament is in fact every other step of [[kleismic]] (which splits 13/9 into two [[6/5]]s), and is best tuned with a fifth slightly (0–4{{c}}) sharp of just.  

Kangaroo is a weak extension of [[archy]] that. interprets the alpha-tricot generator, somewhat bizarrely, as [[35/24]][[~]][[40/27]], which maps [[5/4]] to +10 generators and [[7/4]] to -6 generators. The 11-limit extension simply equates the generator to [[16/11]], merging it with [[#paralimmal]] below. This favors a particularly sharp diatonic fifth (around 710–720 cents) because otherwise the ~[[5/4]] will be too flat. This temperament is not very accurate, but it might be interesting to anyone who has used [[15edo]], as the 15-not can be seen as a sort of [[detemperament]] of 15edo. It also provides a significantly less complex avenue to the 5-limit compared to most other interpretations.