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The Collaborative International Dictionary
Melodics

Melodics \Me*lod"ics\, n. The branch of musical science which treats of the pitch of tones, and of the laws of melody.

Wiktionary
melodics

n. The branch of music theory that deals with pitch and melody.

Wikipedia
Melodics

Melodics is the features of melody that are characteristic for a particular style, period, or group of composers, e.g. baroque melodics, the melodics of Frédéric Chopin's compositions. Melodics is an element of a musical work which orders the sequence of sounds of different registers and duration time.

The two basic kinds of melodics – vocal and instrumental – are combined with the main executive means. The rest derive directly from the two above and reciprocally diffuse one another.