Ploidacot/Pentacot: Difference between revisions

'''Pentacot''' is a temperament archetype where the generator is a subneutral second of about 139–141¢, five of which make a perfect fifth of [[3/2]], and the period is a [[2/1]] octave. Pentacot temperaments typically generate the [[8L 1s]], [[9L 8s]], and [[17L 9s]] MOS scales.

There is no agreed-upon notation for pentacot, and constructing one by extending Pythagorean notation is complicated due to the fact that it does not split the chromatic or diatonic semitone, but rather the double-diminished third (the difference between two diatonic semitones and one chromatic semitone). Note and interval names are provided where pentacot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]).

An obvious interpretation for pentacot is [[glacier]], a 2.3.13 subgroup temperament, where the generator is [[13/12]] and five of them make a perfect fifth. There are some extensions for full 13-limit: [[jerome]] (26 & 43), [[tsaharuk]] (77 & 94), and [[quanic]] (94 & 111).