have been trying to manifest a version of 'study for multiple tempoes' (should be tempi).
mmm, interesting task trying to decide how to approach it. the short approach is that i just discovered this site
http://www.greschak.com/polytempo/ptperf.htm#introduction
Facilitating the Performance of Polytempo Music as that page is called.
Some interesting stuff, of usefullness is this table
C:C C:C# C:D C:Eb C:E C:F C:Gb C:G C:Ab C:A C:Bb C:B C:C | = = = = = = = = = = = = = | 1:1 14:15 (C:Db = 15:16) 8:9 5:6 4:5 3:4 5:7 2:3 5:8 3:5 4:7 8:15 1:2 |
showing ratio's of pitches in the diatonic scale based on the overtone series.
I am about to attempt to use these ratio's as the basis for whether two parts are 'in sync' or not.
Other information contained on that site includes tempo scales of various format, eg the equal tempered one created by Stockhausen
Equal Tempered Scale
(MM whole note =)
60
63.6
67.4
71.4
75.6
80.1
84.9
89.9
95.2
100.9
106.9
113.3
120
these are an ascending scale of tempi of equal variation, just put that in for cred =)
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