This is a little larger than we are aiming for but representational of our concept none the less... impression
Length = 1 wavelength of lowest frequency to express
Circumference of open end = 1 wavelength of same lowest frequency
From that frequency the horn will be effective at sounding the next 3 octaves. A smaller horn is required for higher frequency sounds and therefore it follows that more than one horn may be required to adequately sound all frequencies of our 3D print interpretation...
please check this website for further explanations of a sound horn:

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