It's
been about eight years since I built a Jazz archtop and a
lot of interesting new ideas have come up in that time. I thought
it would be fun to try some of them out, and add another instrument
to the roster of the Seasons presentation series.
Most of the “new” ideas are (maybe) old ones in
some sense. In the past few years Quentin Playfair has been working on a system
to draw the cross arches of fiddles. He maintains that the “Old Masters” used
a curve based on “curtate cycloids.” Cycloids were the “sexy” math
a generation before Strad since they're the basis of Ptolemaic astronomy.
You draw cycloids by rolling a circle along a surface, and tracking a point on
the edge (for a “regular” cycloid) or somewhere inside (for the “curtate” kind).
Using this technique it's easy to draw out cross arch shapes using only simple
shop tools and no math in particular. And they look great.
Other violin researchers have noticed that the Old Boys used several systems
of aching over the years, and each arch system has a different top graduation
scheme that goes with it. The curtate cycloid cross arch seems to “belong” with
a uniform top thickness, so that's what I did here.
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