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Pele is the rank-3 temperament tempering out 441/440 and 896/891, with the canonical extension to the 13-limit tempering out 196/195, 352/351 and 847/845. It shares the same lattice structure as parapyth, but extends it to include the harmonic 5.

See Hemifamity family #Pele for technical details.

Interval lattice

This lattice shows pele as an extension of parapyth, generated by ~2, ~3/2, and ~7/4.


Pele enables essentially tempered chords of werckismic and pentacircle in the 11-odd-limit, in addition to mynucumic, major minthmic, minor minthmic and cuthbert in the 13-odd-limit.