Muggles: Difference between revisions

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Lériendil (talk | contribs)
edited intro, mentioning its existence as the magic equivalent of flattone; also muggloid is kinda exo and useless since 45/44, 65/64 are well justified in the same way as for flattone
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'''Muggles''' is the rank-2 [[regular temperament|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]]. 11-limit extension of the muggles include:
'''Muggles''' is the rank-2 [[regular temperament|temperament]] [[tempering out]] [[126/125]], the starling comma, and [[525/512]], Avicenna's enharmonic diesis. It is an alternative 7-limit extension to [[magic]] and can be described as the 16 & 19 temperament; [[16edo]], [[35edo]], and [[54edo]] with the flat-fifth b [[val]] all are muggles tunings. As a tuning noted for having both very flat [[3/2|3rd]] and [[5/4|5th]] harmonics, and supported by [[19edo]], it is very analogous to [[flattone]]. Similarly to flattone, muggles can extend well to the [[13-limit]] by equating [[5/4]] to both [[11/9]] and [[16/13]], thereby tempering out [[45/44]] and [[65/64]].
 
* Muggles (3e & 16 or 16 & 19) – tempering out 45/44 and 385/384
* Muggloid (3 & 16 or 16 & 19e) – tempering out 33/32 and 176/175


This temperament was named by [[Gene Ward Smith]] in 2003<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group | ''Poptimal generators'']</ref>.
This temperament was named by [[Gene Ward Smith]] in 2003<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5279.html#5299 Yahoo! Tuning Group | ''Poptimal generators'']</ref>.