On Thu, Jan 27, 2022 at 08:20:29PM -0700, Paul Davis wrote:
> To do a linear speedup, you would gradually reduce the time between notes,
> maybe like this: 0.5, 0.45, 0.40, 0.35, 0.30 and so on
That would be a linear interpolation of beat _duration_.
The alternative is linear interpolation of beat _frequency_.
The result of this will be very close to exponential, for
a reasonable relative tempo change (in the range 1/2 to 2/1).
Outside that range, and if the ramp takes more than a few
seconds I wonder if humans will do exponential accurately
enough for the difference to matter at all.
For Ardour, we have generally used this as a reference paper:
with a modified version of the equations (basically switching between duration and frequency)
--
FA
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