military music vs martial music

military music and martial music both are nouns.

Word	Noun	Adjective	Verb	Adverb
military music	Yes	No	No	No
martial music	Yes	No	No	No

As nouns, military music and martial music are synonyms defined as:

military music and martial music: brisk marching music suitable for troops marching in a military parade

Other synonyms of military music include military march.

military music (noun)	martial music (noun)
brisk marching music suitable for troops marching in a military parade	brisk marching music suitable for troops marching in a military parade