The MartinMods
Conical Bore Neck Tenon/Receiver Pair

Conical Internal Bore - Cylindrical Externally

Conical vs. Cylindrical

Precision Machined From Solid Brass

Receiver Is Slightly Oversized Externally
Just another acoustical fact - the saxophone is a conical bore instrument - and should stay that way.
So why is the neck tenon cylindrical? It's a Manufacturer mechanical over acoustical compromise that enables the instrument to be easily stored in a case.. That's all. It doesn't help sound, response, nor intonation in the least - that is to say, the resultant bore error and exposed, stepped edges screw them up. Most "average" players accept that compromise without a second thought. The better you play however, the more you can noticeably benefit from returning your instrument to an uncompromised conical bore.
Which bore profile results in the least amount of turbulence and diameter error?

Averaged

Matches Neck

Matched Conical
This is 100% in accord with the proven acoustical principles of woodwind instruments, so neglected by manufacturers and techs. That's why it works, and why you need it.
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