rhythmizable

Etymology tree
Proto-Indo-European *ser-?
Proto-Indo-European *srew-
Proto-Indo-European *sru-dʰ-mo-s
Proto-Hellenic *hrutʰmós
Ancient Greek ῥῠθμός (rhŭthmós)bor.
Latin rhythmusder.
English rhythm
Proto-Indo-European *-id-
Proto-Indo-European *-yéti
Proto-Indo-European *-idyéti
Proto-Hellenic *-íďďō
Ancient Greek -ῐ́ζω (-ĭ́zō)bor.
Late Latin -izōder.
Middle French -iserbor.
Middle English -isen
English -ize
English rhythmize
Proto-Indo-European *-tḗr
Proto-Indo-European *-dʰlom
Proto-Indo-European *-dʰlis
Proto-Italic *-ðlis
Latin -bilis
Latin -ābilis
Old French -ablebor.
Middle English -able
English -able
English rhythmizable
From rhythmize + -able.