> Where did I say that there are 15 integers in base 16? >=20 > > > The problem is that musicians, being illogical creatures, call the > > > tonic > > the first > > > note of the scale whereas a logical engineer would call it the > > > zeroth note. Then a doubling of frequency would be a septade and a > > > quadrupling a .quattuordecimade and I would never have started this > > thread. > > > > Really? So you say there are only 15 integers in base 16? The implication through all this has been that there are only seven keys in= an octave, i.e. no 'key 0'. But a keyboard that covers an octave has to ha= ve 8 keys (assuming we are only dealing with white keys on a piano), as if = you don't have the 'key 0' that gives the start frequency, then you don't h= ave an octave. --=20 Scanned by iCritical. --=20 http://www.piclist.com/techref/piclist PIC/SX FAQ & list archive View/change your membership options at http://mailman.mit.edu/mailman/listinfo/piclist .