Ploidacot/Diploid monocot: Difference between revisions
Expansion and slight rewriting following Monocot (Also rewrote Kalismic because Kalismic doesn't belong in ploidacot - it has a 7-limit basis!) |
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[[Gariwizmic]] equates [[99/70]] with [[140/99]] (as per [[kalismic]]), so that maps of [[10/9]] and [[11/7]] are a semioctave apart, as well as are [[11/10]] and [[14/9]]; The tone is split into two [[35/33]] semitones, and the Pythagorean comma into two [[2835/2816|fwiwismas]]. Gariwizmic combines this with combining the haploid chain of fifths of [[gary]] for primes 7 and 11, with new diploid mappings for primes 5, 13, 17 and 19. | [[Gariwizmic]] equates [[99/70]] with [[140/99]] (as per [[kalismic]]), so that maps of [[10/9]] and [[11/7]] are a semioctave apart, as well as are [[11/10]] and [[14/9]]; The tone is split into two [[35/33]] semitones, and the Pythagorean comma into two [[2835/2816|fwiwismas]]. Gariwizmic combines this with combining the haploid chain of fifths of [[gary]] for primes 7 and 11, with new diploid mappings for primes 5, 13, 17 and 19. | ||
It is incredibly accurate, qualifying as a [[microtemperament]]. Despite its great accuracy, it finds other primes deep in the diploid chain, with 5/4 at +39 fifths minus a semioctave, 13/8 at -27 fifths plus a semioctave, and 17/16 as +48 fifths (4 | It is incredibly accurate, qualifying as a [[microtemperament]]. Despite its great accuracy, it finds other primes deep in the diploid chain, with 5/4 at +39 fifths minus a semioctave, 13/8 at -27 fifths plus a semioctave, and 17/16 as +48 fifths (4 commas), and 19/16 as +44 fifths minus a semioctave. | ||