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“cadence” in Latin

The English word cadence itself goes back to Latin cadō, through *cadentia.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

cadence
in music, intervallum: numerus (in speech).
A harmonious conclusion, quaedam ad numerum conclusio. Having (or with) a good cadence, numerosus; numerose cadens; numerose cadere (all of speech). To close periods with a good cadence, numeris sententias claudere.

Quick answer

What is the Latin word for cadence?
The usual Latin words for “cadence” are intervallum, numerus, numerōsus. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.