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-title: Transforming MIDI - Mathematical operations
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 <p>Considering the numerical nature of MIDI events, it can be tempting to apply mathematical transformations to our MIDI regions by using mathematical operations. Ardour makes it very easy and powerfull with the Transform tool.</p>
   
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 <p>All this operations can be very handy, as long as you find a mathematical way to achieve your goal. Beware though of odd "border cases" : division by zero (which does nothing), using the note's index and forgetting it starts at 0 and not 1, etc.<p>
 
 <p>You can nevertheless create very interesting results, like humanizing (randomizing the velocity, start time and duration of all the notes), creating arpeggios, automating tedious tasks, transposing, etc.</p>
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