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I am about to undertake a study to compare the playing and intonation characteristics of mouthpieces which have identical interior volumes but have different geometric shapes inside. In particular I need to know which mouthpieces have a long rather narrow chamber, and which mouthpieces have a short wide chamber with scooped out sidewalls to use for my study.
One of the basic questions I want to try to answer is: When you pull a mouthpiece out, does the pitch go lower because you have made the physical length of the instrument longer? Or does the pitch go lower because the interior volume of the mouthpiece which replicates the volume of the "missing cone" gets larger.
Another question is: If a long narrow chamber, and a short "fat" chamber of identical volumes produce the same pitch of the fundamental, do those shapes produce different pitched harmonics?
Hopefully those who have tried and played many different mouthpieces will chime in. I know Pete has done a lot of work in this area and can share a bit of what he has learned designing his own mouthpieces.
One of the basic questions I want to try to answer is: When you pull a mouthpiece out, does the pitch go lower because you have made the physical length of the instrument longer? Or does the pitch go lower because the interior volume of the mouthpiece which replicates the volume of the "missing cone" gets larger.
Another question is: If a long narrow chamber, and a short "fat" chamber of identical volumes produce the same pitch of the fundamental, do those shapes produce different pitched harmonics?
Hopefully those who have tried and played many different mouthpieces will chime in. I know Pete has done a lot of work in this area and can share a bit of what he has learned designing his own mouthpieces.
