Pele

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

• 

  13-limit pele

• 

  17-limit pele

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

Chords

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.

Scales

• SNS ((2/1, 3/2)-12, 64/63: 441/440, 896/891)-24
• SNS ((2/1, 3/2)-12, 64/63: 441/440, 896/891)-36
• Dekany pele – a transversal scale
• The compdye scale pattern