Are you sure?There are I believe only 3 ways to change time signature:1. Change the top number.2. Change the bottom number.3. Change both the top and bottom numbers.Changing the top number only does not (to my knowledge anyway) change the tempo.Does that mean a change in tempo occurs only when the bottom number changes?Changing from 2/4 to 3/4 or 4/4 just changes the length of the measure with no change in tempo.Also, if I played the 3/8 measure twice as fast I would be lost. How would I play (or anyone) the next measure? The measure would be played like a beat and a half and then the bar line. So, I would start the next measure on an upbeat? I maintain the look on paper is all that changes but not the sound.F double sharp, G and A double flat are all the same key on the piano just notated on paper differently.Thanks, Joe.