Mouthpiece Matching
The first, most basic, and most important rule for conical bore woodwinds is this: For the instrument to function optimally the mouthpiece must be meticulously matched, in chamber volume and mouthpiece frequency, to that particular instrument/player combination. Short of having the instrument in good mechanical/air-tight condition, nothing could be more important.
Fortunately for the player, there is a very easy way to evaluate how well any mouthpiece matches the horn/player. No special equipment is required, just a developed ear and sense of pitch, or a tuner.
The essential saxophone is the tube that produces the D1 to C#2 range, and is then overblown to produce the D2 to C#3, second register. The notes below and above this range are just added on, each pitch having it's own dedicated tone hole. We can ignore those notes for now. The octaves of the D1 to C#3 range will tell us everything we need to know about the mouthpiece/horn relationship.
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