source file: m1401.txt Date: Thu, 30 Apr 98 19:57 BST-1 Subject: Re: TUNING Resolution From: gbreed@cix.compulink.co.uk (Graham Breed) At last, some hard data! Some problems, though ... > advance. For the first 10 partials I obtained over that .7 sec. time > stretch cent values for the RMS instantaneous deviation from harmonic o > f: 3.20, 1.92, 1.08, 1.12, 1.72, 3.25, 4.08, 3.17, 2.58, and 1.95 respe > ctively. I plotted the deviations from harmonic for some of the partia Does this mean you're using FFT windows much smaller than 0.7s? I think these values must be experimental artifacts. Try analysing a sawtooth wave with equivalent vibrato and tremolo to calibrate the uncertainty. Use an analog synth if you can. I mentioned this business with conical tubes to show that there is a quantifiable physical origin for inharmonicity. The periodicity of the sounds presumably defaults to the player's ability to blow a raspberry. Does this mean the resulting overtone series is constructed from undertones of the original vibration? I think a slide trombone must be pretty near cylindrical, so analysis of a French horn or something would be more useful.