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I've succeeded in mathematical scaling of my best gauge flutes to produce a 2.8" - Key of G at the request of John Kaizan Neptune who has visited here twice in the last year. Not all of the flute makers in Japan make these long instruments, so good ones are hard to come by.
John and I have been getting together
regularly over the last several years, either at my shop in Willits
or at his fantastic dome house in Japan. For a shakuhachi maker
like myself, it is an invaluable opportunity to collaborate with
a player of John's caliber. (And one that speaks the same language
as I do, no less!) Our work pattern at these brainstorming sessions
usually takes us late into the night until weary from gazing intensely
into those mysterious long black tubes. 
This summer's research was particularly
fruitful. The 2.8' I came up with was, according to John, concert
quality. His expertise in fine tuning the bore has resulted in
an instrument that is nicely balanced and very resonant in all
of its notes. More important to my mind, is having established
the methodological framework for extremely accurate bore scaling
and fabrication.
No simple
task, but one that is greatly enhanced by the use of computerized
calculations and (hopefully) soon the aid of an inkjet plotter
to generate precision scaled graphs. What can I say? It's a nasty
job, but somebody has to do it. Hope to have long, affordably-priced
instruments in the keys of G, F#, F and E available in the near
future.