Curt's study is amazing. He drew a few conclusions at the end that correspond with a few of my own observations.
- "As notes are played on pips lower down the neck, high notes get sharper and low notes get flatter."
This one was particularly interesting. I can only assume that a pip lower down the neck essentially acts as part of the high palm F's tonehole. In this case the air is leaking out in a way that would be similar to making the F tonehole larger. The larger the tonehole, the sharper the pitch gets. However, when the rest of the upper stack is closed, the low placed pip is now in a better position to vent the octave of the mid range notes. Moving the pip closer to the neck, while playing this same range allows for the pip to be more akin to a leak than a vent, which in turn causes the mid range to go sharper.
-"In general, pitch gets sharper as the pip diameter increases."
Once again falls back to tonehole size, and basic flute manufacturing theory. The larger the opening of the tonehole, the sharper the pitch gets. Curt's chart also showed that a pip opening of 3mm made the high F incredibly sharp. This is something I can personally vouch for with my Chinese neck before the modification.
-"The pitch gets flatter as the pip length increases."
This isn't surprising as adding length to the tube ought to make the pitch flatter. It's similar to how adding length to the bell can change a low Bb saxophone into a low A saxophone. I think it's also safe to conclude that adding additional length to each tonehole chimney would also flatten each corresponding pitch.
-"Tapered pips have somewhat similar intonation to pips with a diameter equal to the average of the min and max diameters of the taper."
This is purely speculation on my part, but I'm assuming that any possible taper in the pip would be too negligible to impact the average opening size. However, the effect on intonation by tapering other toneholes along the bore would be more noticable on mid-sized toneholes before tapering off to less noticable with larger toneholes given that all chimneys would be of equal height. A fly gets thrown into the ointment here if the tonehole chimneys are directly proportionate to the diameter of each tonehole. If that's the case, the effect on intonation should be equal on all toneholes with the equivalent taper.
- "A threaded pip has similar intonation to a straight pip with a diameter equal to its minor diameter."
Essentially, the threads are not taking up enough internal volume to really make a difference. Now I'm assuming that this would change with extremely exaggerated threads. However, even if one could accomplish this inside of a saxophone bore, the question remains as to why would you? Could you imagine the gunk that would be building up in between such threads? Given a lot of playing, and time, calcium, and other deposits would fill in those threads and greatly impact the volume of the bore. Any found advantage in creating such a horn would probably be offset by trying to figure out how to keep it clean. :lol: