* Counterpoint: This term is often used interchangeably with polyphony, particularly when referring to the specific techniques of writing multiple independent melodic lines that interweave.
* Multi-voice music: This is a more general term that simply describes music with multiple voices.
* Homophony: This is the opposite of polyphony. It refers to music where all parts move in unison or in parallel chords.
* Heterophony: This describes a type of polyphony where different versions of the same melody are performed simultaneously.
* Texture: This is a broader term that describes the overall arrangement of the musical lines in a piece, and polyphony is one type of texture.
The best "other name" for polyphony depends on the specific context and what you want to emphasize.