pace vs tempo

pace and tempo both are nouns.

Word	Noun	Adjective	Verb	Adverb
pace	Yes	No	Yes	No
tempo	Yes	No	No	No

As nouns, pace and tempo are synonyms defined as:

pace (noun)	tempo (noun)
a step in walking or running	the rate of some repeating event
the relative speed of progress or change	(music) the speed at which a composition is to be played
a unit of length equal to 3 feet; defined as 91.44 centimeters; originally taken to be the average length of a stride
the distance covered by a step
the rate of moving (especially walking or running)
the rate of some repeating event