Re: music recognition/transcription?
...An example I didn't mention in my previous post is overblown winds. When you overblow a wind instrument, the fundamental is no longer sounding; the note that appears to be the fundamental is actually the first overtone, unless the instrument is a clarinet, in which case it's the second overtone. And it doesn't stop there: the notes you hear from a good Bach trumpeter (or a good french horn player) are 'way up there among the upper partials, where they are mechanically out of tune but lipped into place.
G'day Bill,
not sure I can completely agree with you here...
There are 2 fundamentals in play here. A brass example: assuming you are using the same valve/slide combination for both, the first is the fundamental frequency of the instrument in question, the second is the fundamental frequency of the note you are playing. The fact that the note you are playing is part of the overtone series of the instrument is not really relevant. The note will have significant harmonics of it's own that are an extension of the overtone series of the instrument, but are 2nd, 3rd, 4th, etc. harmonics etc. of that note. The fact that they are also nth harmonics of the instrument is almost irrelevant as notes lower than that being played in the series don't exist in the sound. (an analysis might find some trivial presence of lower notes but they would be just that, trivial)