bennychico11 said:
And where the air goes is where the sound goes.
Your analysis of the distance of the finger hole being proportional to the wavelengh (and therefore inversely proportional to the frequency) is correct. As such, the lower sound holes control the longer wavelength/lower frequency sounds. That in and of itself, though, is not an indicator of where the sound radiates from. The lowest holes control the lowest notes, but the notes thenselves are created by the resonance of the air and the instrument
along the length of the instrument from the reed down to the fingered hole.
It's a similar effect to the fingering of a guitar string; the further the distance one places their fingers down the neck, the lower the frequency at whcih the string vibrtes. But where the finger is located is not where the majority of the sound is actually coming from.
With many, if not most wind instruments, the air movement and path helps create the sound, but is not
the sound itself. The wind is not the main "carrier" of the sound. If it were, putting a fan in front of the player would blow the sound away from the microphone.
Look, for a real example, at the clarinet's little brother, the flute. The majority of the sound does not carry with the breath across the mouth hole or along the radius of the flute where the rest of the air travels. Nor does it come out in the direction of the finger holes, but rather it mostly radiates out tangential to the length of the flute body, angling further to the right of the player's LOS as the frequency increases. In that case, the radiation pattern of the instrument bears no resemblence whatsoever to the direction of air travel in and around the instrument.
G.