Pele: Difference between revisions
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'''Pele''' is the [[Rank-3 temperament|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 [[5/1|harmonic 5]]. | '''Pele''' is the [[Rank-3 temperament|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 [[5/1|harmonic 5]]. | ||
See [[Hemifamity family #Pele]] for technical details. | See [[Hemifamity family #Pele]] for technical details. | ||
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== Chords == | == Chords == | ||
Pele enables [[essentially tempered chord]]s of [[werckismic chords|werckismic]] and [[pentacircle chords|pentacircle]] in the [[11-odd-limit]], in addition to [[mynucumic chords|mynucumic]], [[minthmic chords|minthmic]], [[ | Pele enables [[essentially tempered chord]]s of [[werckismic chords|werckismic]] and [[pentacircle chords|pentacircle]] in the [[11-odd-limit]], in addition to [[mynucumic chords|mynucumic]], [[major minthmic chords|major minthmic]], [[minor minthmic chords|minor minthmic]] and [[cuthbert chords|cuthbert]] in the [[13-odd-limit]]. | ||
== Scales == | == Scales == | ||
Revision as of 15:52, 21 January 2024
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
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13-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.