I have undertaken a study to investigate ways to calculate the so called "missing cone" of the saxophone that the volume of the mouthpiece is supposed to substitute in order for the sax to play properly.
The findings of the study are at this link: http://jbtsaxmusic.homestead.com/Missing_Cone_Volume_Comparison_Study.pdf
It is important to note that this is just one saxophone neck and one mouthpiece. Further tests are needed before any general conclusions can be drawn that apply to all sizes, makes, and models of saxophone and mouthpieces.
Two related studies are: http://jbtsaxmusic.homestead.com/Detailed_SBA_neck_measurements.pdf and http://jbtsaxmusic.homestead.com/mouthpiece_equivalent_volume_study.pdf
John
The findings of the study are at this link: http://jbtsaxmusic.homestead.com/Missing_Cone_Volume_Comparison_Study.pdf
It is important to note that this is just one saxophone neck and one mouthpiece. Further tests are needed before any general conclusions can be drawn that apply to all sizes, makes, and models of saxophone and mouthpieces.
Two related studies are: http://jbtsaxmusic.homestead.com/Detailed_SBA_neck_measurements.pdf and http://jbtsaxmusic.homestead.com/mouthpiece_equivalent_volume_study.pdf
John