Beats Per Minute Conversion

*To*: mathgroup at smc.vnet.net*Subject*: [mg8471] Beats Per Minute Conversion*From*: "Benjamin R. Tubb" <brtubb at cybertron.com>*Date*: Tue, 2 Sep 1997 16:15:08 -0400*Sender*: owner-wri-mathgroup at wolfram.com

Can anyone determine the Mma function for the following problem whose variables and some known solutions are: Determine the MIDI Coarse and Fine Tuning values for converting to any BPM playback from a given Sample Rate, MIDI Note and BPM (beats per minute) rate. GIVEN: SampleRate = 44100 kHz Orginal BPM = 52 (beats per minute) MIDI Note = C4 (i.e. Middle C) Coarse Tuning = 0 (from a range, in semitones, of +/- 48) Fine Tuning = 0 (from a range, in cents, of +/- 50) Four known solutions for different BPM values are: 40 BPM Coarse Tuning = -05 Fine Tuning = +46 100 BPM Coarse Tuning = +11 Fine Tuning = +32 130 BPM Coarse Tuning = +16 Fine Tuning = -14 180 BPM Coarse Tuning = +21 Fine Tuning = +50 Benjamin Tubb brtubb at cybertron.com