Accelerando in poly-tempo
The question is - does accelerando used in parts with different tempo? How to rhythmically align them after that / during that? (Without accelerando it would be enough to keep parts tempo at some fixed ratio)
For example:
S1 : e - e - e - e - e - e - e
[accel from 60 to 120 bpm]
S2 : q - q - q - q
t0 t1=??
where S1,S2 - stave 1,2; e - eight note; q - quarter
How to properly calculate start time and duration time of each beat during accelerando? [It is not that important if song have only one tempo, because all beats will have same timings regardless of how we calculate accelerando]
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Yes, composers who write poly-tempo music may well ask for independent tempo changes, sudden or gradual. Yes, in live performance, it will be impossible to conduct, and the players will find it tricky to get everything ending at the same time! But they'll manage, somehow. Sometimes, in my experience, by cheating. But as, in this sort of music, the concept tends to be more important than what it actually SOUNDS like, it probably doesn't matter.
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