Abstract
The harmonics for an open cone with slant length are the same as the harmonics for an open pipe with length . When the cone is transformed through phases of closed–open conical frusta into a cylinder of length closed at one end, the fundamental halves and only odd harmonics remain. A simple approach using boundary conditions is presented in order to understand this remarkable fact. A new free interactive HMTL5 application is provided which enables the user to hear the resonances of a complete cone transform into the pitches of a conical frustum closed at the small end, and eventually into the odd harmonics of a closed cylindrical pipe.
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