New Sousaphone article by a Tubenetter
Posted: Tue Sep 28, 2010 4:42 pm
In Brassmusic on-line magazine by Ian Church, "Sousaphone-ologist" (AKA KiltieTuba )
may be a little misleading. True the end effect extends the effective vibrating length of the air column on the order of the size of the bell, but not by another 18 feet? I suppose they probably meant the wavelength of the fundamental is twice the length of the open tube.The low frequencies from a BBb tuba are generated by a column of air that’s about 36 feet long… 18 feet of which are INSIDE the horn and another 18 feet that’s OUTSIDE the horn.
Actually, Don.... a tuba isn't EXACTLY 18 feet long, either. That statement may be a little bit misleading but it's a descent illustration of the fact that the fundamental wave length of a low BBb is about 36 feet... about 18 feet of which is the horn itself.DonShirer wrote:Useful article, Ian. But don't you think that the quote from H.N.White Co.:may be a little misleading. True the end effect extends the effective vibrating length of the air column on the order of the size of the bell, but not by another 18 feet? I suppose they probably meant the wavelength of the fundamental is twice the length of the open tube.The low frequencies from a BBb tuba are generated by a column of air that’s about 36 feet long… 18 feet of which are INSIDE the horn and another 18 feet that’s OUTSIDE the horn.
It's worse than that. The conical bore of the tuba causes the wavelength of the note to change as the pressure fronts progress through the instrument. The straight organ-pipe models just don't work with conical instruments, and there is almost no way to simplify things mathematically and retain accuracy. The only thing you know is that the pressure peaks are about 36 feet apart with a pedal Bb, and the pressure minimum in between them is just a little outside the bell. But it is not exactly halfway between those pressure peaks, because the wavelength changes in the half that is inside the tuba. The frequency domain can be a complicated place.TubaTinker wrote:Actually, Don.... a tuba isn't EXACTLY 18 feet long, either. That statement may be a little bit misleading but it's a descent illustration of the fact that the fundamental wave length of a low BBb is about 36 feet... about 18 feet of which is the horn itself.
And this is one reason why, for example, the 5th partials can be really flat on some tubas, only somewhat flat on others, and actually be in tune on even others. And since they all interact, there's no way to really adjust one spot in the horn for one note without really affecting a bunch of other notes that may interact directly with that particular spot also.Rick Denney wrote:It's worse than that. The conical bore of the tuba causes the wavelength of the note to change as the pressure fronts progress through the instrument. The straight organ-pipe models just don't work with conical instruments, and there is almost no way to simplify things mathematically and retain accuracy. The only thing you know is that the pressure peaks are about 36 feet apart with a pedal Bb, and the pressure minimum in between them is just a little outside the bell. But it is not exactly halfway between those pressure peaks, because the wavelength changes in the half that is inside the tuba. The frequency domain can be a complicated place.TubaTinker wrote:Actually, Don.... a tuba isn't EXACTLY 18 feet long, either. That statement may be a little bit misleading but it's a descent illustration of the fact that the fundamental wave length of a low BBb is about 36 feet... about 18 feet of which is the horn itself.
Rick "whose Miraphone measures longer than 18 feet when the bell effect is included" Denney
Did production of 'Jumbo' size sousaphone by manufacturers other than Conn continue after 1934? Are you implying that 6/4 size tubas in the view of the manufacture's replaced the Jumbos?Furthermore, the introduction of the Conn 20J in 1934 coincided with the discontinuation of their Grand Jumbo line, also in 1934.
A 6/4 tuba, with its larger girth, can, under the right acoustics, produce more fundamental. The smaller the tuba, generally the less fundamental. The overtones are about the same, although as Rick Denny points out on his website, construction differences cause balance of overtone distribution differences.Neptune wrote:Talking the the 36 foot wave length (or whatever amount it actually is), is this effected by size, or pitch of tuba? My observation is that a 6/4 tuba is more affected by limited space for the sound to develop than a 4/4, but cannot explain why that should be?