A conical pipe closed at the narrow end behaves like an open-open pipe acoustically

Evidence

Conical resonators that are stopped at the reed end and open at the other support all modes in a harmonically related manner. … Suppose by some means we can start a compression from the narrow end; the pipe will behave just as our pipe open at both ends until the rarefaction has returned to the start. Now, because the pipe has shrunk to a very small bore, the speed of the wave slows down and no real reflection occurs… . The result is that we need only consider one journey out and one back regardless of whether the pipe is open or closed at the narrow end… . The conical pipe will behave something like a pipe open at both ends as far as its modes are concerned. — David M. Howard, Jamie Angus, Acoustics and Psychoacoustics, 1214

Categorization

• DEFINE: Explains why oboe, sax, and bassoon overblow at the octave while clarinet overblows at the twelfth.
• XREF: connects to: A closed conical bore resonates like a tube open at both ends — Eric J. Heller, Why You Hear What You Hear- An…, 1460; A closed narrow-end cone acts like a double-open cylinder giving all harmonics — Eric J. Heller, Why You Hear What You Hear- An…, 1472; Woodwind flue instruments act acoustically as pipes open at both ends — David Howard, Jamie Angus, coustics and Psychoacoustics, 1214 (+1 more)

Broader Connections

• A closed conical bore resonates like a tube open at both ends #expands (0.95) — Eric J. Heller, Why You Hear What You Hear- An…, 1460
• A closed narrow-end cone acts like a double-open cylinder giving all harmonics #expands (0.95) — Eric J. Heller, Why You Hear What You Hear- An…, 1472
• Open and stopped organ pipes correspond to open-open and open-closed acoustic tubes. #exemplifies (0.82) — David Howard, Jamie Angus, coustics and Psychoacoustics, 1181
• Woodwind flue instruments act acoustically as pipes open at both ends #exemplifies (0.80) — David Howard, Jamie Angus, coustics and Psychoacoustics, 1214