I know that this topic was discussed at length (no pun intended) on the other site, but I believe enough material has vanished there to bring the topic up here anew.
Firstly, I'm not a physicist (actually barely mathematically literate) so I'm hoping some of you out there will have the patience to walk me through this.
From what I understand, the "end effect" on tubas is roughly (bell diameter × 0.6). So far, so good. I take this to mean that, for example, for a BBb tuba with a 20" diameter bell to be made the to proper length, you would have to calculate it thusly to achieve the 216" necessary length:
(20"×0.6) + x = 216"
Meaning, the horn needs to be built to @ 204" (x) in order to accommodate for the end effect's 12" calculation, to add up to a total of 216" (18 × 12" = 216").
Does this make sense, or am I off somewhere?
(Disclaimer: I've built enough tubas to know they are all different based on taper, bore, etc., and that every one is basically a prototype and no one calculation applies to all - I'm just trying to understand the theory behind this.)
End effect
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