105/104: Difference between revisions
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'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]). | '''105/104''', the '''animist comma''', is a [[13-limit]] [[superparticular]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]). | ||
Being a [[square superparticular|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]). | Being a [[square superparticular|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]). | ||