Once I’d completed the arching on both the top and the back I continued by graduating the thicknesses of the plates. This is widely believed to be one of the most important factors in the sound quality of the finished instrument. I did a great deal of research prior to beginning in the hopes of shedding some light on this mystery.
Being very science oriented I particularly liked and article by Nigel Harris (http://www.violin.uk.com/), a luthier from London, who has written a number of articles on the acoustical properties of violin making. The particular article made use of an equation he had developed to quantify the stiffness of an instruments front or back based on its weight, second harmonic mode, and fifth harmonic mode. Research has concluded that each mode correlates to the resistance of and thereby stiffness of a plate in a specific direction. For example: the first mode correlates to a resistance against a torque-like twisting motion of the plate; instead the second and fifth modes relate to rigidity in a longitudinal and latitudinal sense.
I had difficulty arriving at my target stiffness for both the top and back plate due to the excessive weight of my maple and spruce. This could be due to the wood not been aged particularly long or perhaps I could have removed more from inside the plates. Either way, I gained a much deeper understanding in how to alter the harmonic modes of a violin plate and now have baseline data with which to compare my subsequent instruments.
I know this was somewhat technical for the majority of my reading audience but hope that even so it shows just how involved instrument construction is. Furthermore, I wanted to mention that all the pictures I include in my blog can be enlarged by simply clicking on them.