program music vs programme music

program music and programme music both are nouns.

Word	Noun	Adjective	Verb	Adverb
program music	Yes	No	No	No
programme music	Yes	No	No	No

As nouns, program music and programme music are synonyms defined as:

program music and programme music: musical compositions intended to evoke images or remind the listener of events

program music (noun)	programme music (noun)
musical compositions intended to evoke images or remind the listener of events	musical compositions intended to evoke images or remind the listener of events