Conversion from linear to cyclical time

linear-to-cycles

Input midi data 

e.g
(missing first note data -- C4, E4)
120 On ch=1 n=67 v=64 -- G4 on
180 Off ch=1 n=67 v=44 -- G4 off
180 On ch=1 n=72 v=64 --- C5 on
240 Off ch=1 n=72 v=77 -- C5 off
240 On ch=1 n=76 v=64 -- E5 on
300 Off ch=1 n=76 v=52 -- E5 off
300 On ch=1 n=67 v=64 -- G4 on
360 Off ch=1 n=67 v=32 -- G4 off
360 On ch=1 n=72 v=64
420 Off ch=1 n=72 v=72
420 On ch=1 n=76 v=64
480 Off ch=1 n=76 v=65
600 On ch=1 n=67 v=64
660 Off ch=1 n=67 v=46
660 On ch=1 n=72 v=64
720 Off ch=1 n=72 v=68
720 On ch=1 n=76 v=64
780 Off ch=1 n=76 v=47
780 On ch=1 n=67 v=64
840 Off ch=1 n=67 v=40
840 On ch=1 n=72 v=64
900 Off ch=1 n=72 v=80
900 On ch=1 n=76 v=64
960 Off ch=1 n=76 v=50
1080 On ch=1 n=69 v=64
1140 Off ch=1 n=69 v=35


MIDI > traditional score 
for tempo defined by crotchet = x
    => quaver = x/2; semiquaver = x/4; minim = 2x etc
    
e.g crotchet = 120 => quaver = 

Basic Tempo Markings 
[Lento = 40-60 bpm; Larghetto 60-66 bpm;  Adagio = 66 - 76 bpm; Andante = 76-108 bpm; Moderato 108-120 bpm; Allegro 120-156 bpm; 


- Begin w/ overall divisions: 

e.g. 4-bar sequences = 1 cycle  => 1-bar = 1/4 cycle


Timings 

e.g. 4/4 timing  - 4 beats in a bar => 1 - beat = (1/4)/4 = 1/16 cycle. 


Conversion from linear space to circular

Assume r=1 for all notes 

Using the division system above, for some angular component theta

1 bar = theta/2 
1 beat = theta/8




To do:
 2-clef condension into one cycle
 varying pitch with varying r values? 
 all bars caluclated using modulo function?