time signature vs musical time signature

time signature and musical time signature both are nouns.

Word	Noun	Adjective	Verb	Adverb
time signature	Yes	No	No	No
musical time signature	Yes	No	No	No

As nouns, time signature and musical time signature are synonyms defined as:

time signature and musical time signature: a musical notation indicating the number of beats to a measure and kind of note that takes a beat

time signature (noun)	musical time signature (noun)
a musical notation indicating the number of beats to a measure and kind of note that takes a beat	a musical notation indicating the number of beats to a measure and kind of note that takes a beat