Violin octet scaling: The practical side
Robert J. Spear · The Journal of the Acoustical Society of America · 2006
Schelleng’ scaling procedure attempts to place A0 at ∼1.5x and the first corpus bending modes at ∼2.25x, the lowest string pitch. An experiment to move A0 into this position (also influencing A1), using the Stradivari model G as reference, helps produce the characteristic sound of the violin in cases where B1 placement was not optimum. The experiments suggest that the model G worked well for the signature modes of a classic violin, successfully scaling at least four instruments (mezzo, alto, tenor, and a small baritone), but that instruments at the extremes—treble and soprano at one end of the scale and both basses at the other—will likely require a refinement of the model G and placement of modes different from those of the reference violin and from each other. Scaling for acoustics and scaling for size are not the entire answer since ergonomic demands are often at odds with both. Geometrical scaling is essential for aesthetics and the uniform shape of the instruments, but it does not hold up well for rib heights, rib thicknesses, and cavity air volumes. This experiment suggests that significant latitude of air and wood mode placement exists within which good results can occur.