The Magic Flute Formula In Reality

From: Tom Deaver (tom-tom@gaea.ocn.ne.jp)
Date: Fri Jun 20 2003 - 06:50:44 PDT


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Haven=B9t been following the conversation closely but...

These are actual bamboo pieces that have cut bottom and top, in that order,
in the normal fashion for cutting shakuhachi stock. This means that as man=
y
of the structural aspects of the plant as possible are exposed to the
observing eye. None of these four flutes has a middle joint; they are all
one-piece (nobe) flutes.

Comparison:

> #1. Total length =3D 1.8.0.0 shaku (means 1 shaku 8 sun 0 bu 0 rin)
> Opening at bottom (kanjiri, literally the butt of the tube) =3D 205=
 mm
> (millimeters)
> Has smaller finger holes than #3 and the bamboo is thinner than #=
3
> Plays A4 at 442 Hz at about 22 degrees centigrade
>=20
> #3 Total length =3D 1.7.9.8 shaku
> Opening at bottom =3D 278 mm
> Larger finger holes than #1, thicker bamboo than #1, thinner pipe
> walls than #1
> Plays A4 at 442 Hz at about 22 degrees C
>=20
> #2 A similar flute that is not here for measurement just now
> Sort of in between #1 and #3 in bamboo size, wall thickness and b=
ottom
> opening
>=20
> #4 A new flute not yet finished, still being fiddled with
> Total length =3D 1.7.5.2 shaku
> Opening at bottom =3D 231 mm
> Also between #1 and #3 in size
> Plays A4 at 439 at 21 degrees C now but will play 442 when finish=
ed
>=20
>> Don=B9t know a thing about the aspect ratios except that they are quite
>> different. The tone differences are about what one would expect upon vi=
sual
>> inspection of the various flutes.

> All these flutes have the same size opening at the top with the same widt=
h and
> depth of the curve at the mouthpiece inlay.
>=20
> Talking with John Neptune one day about this we sort of guessed that nobe
> stock of about 1.7.5.0 length would be near for a D sounding flute with a
> bottom opening about the same size as the more common highly worked hassu=
n
> flutes with a connecting joint near the center.
>=20
> Good Luck All
>=20
> Tom
> =20

--B_3139022835_30552

<HTML>
<HEAD>
<TITLE>The Magic Flute Formula In Reality</TITLE>
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<BODY>
<FONT FACE=3D"Verdana">Haven&#8217;t been following the conversation closely =
but...<BR>
<BR>
These are actual bamboo pieces that have cut bottom and top, in that order,=
 in the normal fashion for cutting shakuhachi stock. &nbsp;This means that a=
s many of the structural aspects of the plant as possible are exposed to the=
 observing eye. &nbsp;None of these four flutes has a middle joint; they are=
 all one-piece (nobe) flutes.<BR>
<BR>
Comparison:<BR>
<BR>
</FONT><BLOCKQUOTE><FONT FACE=3D"Verdana">#1. &nbsp;Total length =3D 1.8.0.0 sh=
aku (means 1 shaku 8 sun 0 bu 0 rin)<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Opening at bottom (kanjiri,=
 literally the butt of the tube) =3D 205 mm (millimeters)<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Has smaller finger holes th=
an #3 and the bamboo is thinner than #3<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Plays A4 at 442 Hz at about=
 22 degrees centigrade<BR>
<BR>
#3 &nbsp;Total length =3D 1.7.9.8 shaku<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Opening at bottom =3D 278 mm<=
BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Larger finger holes than #1=
, thicker bamboo than #1, thinner pipe walls than #1<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Plays A4 at 442 Hz at about=
 22 degrees C<BR>
<BR>
#2 &nbsp;A similar flute that is not here for measurement just now<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Sort of in between #1 and #=
3 in bamboo size, wall thickness and bottom opening<BR>
<BR>
#4 &nbsp;A new flute not yet finished, still being fiddled with<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Total length =3D 1.7.5.2 shak=
u<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Opening at bottom =3D 231 mm<=
BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Also between #1 and #3 in s=
ize<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Plays A4 at 439 at 21 degre=
es C now but will play 442 when finished<BR>
<BR>
</FONT><BLOCKQUOTE><FONT FACE=3D"Verdana">Don&#8217;t know a thing about the =
aspect ratios except that they are quite different. &nbsp;The tone differenc=
es are about what one would expect upon visual inspection of the various flu=
tes.<BR>
</FONT></BLOCKQUOTE></BLOCKQUOTE><FONT FACE=3D"Verdana"><BR>
</FONT><BLOCKQUOTE><FONT FACE=3D"Verdana">All these flutes have the same size=
 opening at the top with the same width and depth of the curve at the mouthp=
iece inlay.<BR>
<BR>
Talking with John Neptune one day about this we sort of guessed that nobe s=
tock of about 1.7.5.0 length would be near for a D sounding flute with a bot=
tom opening about the same size as the more common highly worked hassun flut=
es with a connecting joint near the center.<BR>
<BR>
Good Luck All<BR>
<BR>
Tom<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<BR>
</FONT></BLOCKQUOTE><FONT FACE=3D"Verdana"><BR>
</FONT>
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--B_3139022835_30552--



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