Chronology | Current Month | Current Thread | Current Date |
[Year List] [Month List (current year)] | [Date Index] [Thread Index] | [Thread Prev] [Thread Next] | [Date Prev] [Date Next] |
Keep in mind that a musical instrument is far different from a simple
pipe. It is much like comparing apples and oranges. Still a good
model is to start with a pipe, closed at the mouthpiece end, open at
the other end. This gives odd harmonics. The trick is to move the
harmonics around so they look like even harmonics. So, add a
mouthpiece. The biggest effect is it adds a filter so the high
frequency harmonics are reduced. Just as important it shifts the high
harmonics down in frequency. Then add a bell. The bell operates on
the lower frequencies and shifts them up. If you get the right
combination, you get a series of harmonics that looks like on open
pipe and the contraption becomes a musical instrument.
There are several references that may help you out. Each has useful
tidbits but I have not seen a completely coherent explanation in any
of the standard texts that gives a simple explanation for the student
and still satisfies the person truly knowledgeable in acoustical
physics though some come close. Donald hall's "Musical Acoustics"
chapter 13 isn't a bad place to start. Benade, "The Physics of
Brasses" Scientific Amarican 1973 is useful. Fletcher and Rossing
"The Physics of Musical Instruments" chapter 14 is excellent for a
starting point - but not for the mathematically naive.