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--B_3190483723_4848747
Hi group,
I thought that this email from an old student of mine would be interesting
to some of you.
(Note: Darius Kauffman is an accomplished performer on the Shakuhachi,
Pennywhistle, Native American Flute, Tibetan/Crystal Bowls, Bagpipes, and
Glass piano. Two fairly recent projects of his that I know about are going
on the road playing Pennywhistle/Irish Flute with Sinead O=B9Connor for about
6 months, and his =B3glass-piano=B2 playing being that cool background when eve=
r
someone started jumping straight backwards in =B3Crouching Tiger, Hidden
Dragon=B2):
Subject: Sound waves and shakuhachi
Hello to both of you! I wanted to share this bit of interesting arcana wit=
h
you, from a sound mathemetician philosopher astrologer friend:
=20
"You have brought back some experiences I had in the '80's when checking ou=
t
a balancing system based on the square, triangle and circle--traces of whic=
h
can be seen in India, Japan and other places. Your comment about the timbr=
e
variance range of the shakahuchi applies here, especially that comment abou=
t
the enlightenment following on blowing 'ro' correctly. Square and Triangle
waves are sums of odd harmonics of a fundamental whose amplitudes fall off
as the inverse first power and second power of the harmonic number, (if I
recalled that correctly), respectively; so I asked myself, what would the
harmonic analysis of a semi-circle wave be (to complete the triad of types)=
,
a positive semi-circle followed by a negative one being a whole cycle. The
answer blew me away--the amplitudes fall off as the inverse phi golden
section power of the harmonic number, falling there between one and two, ph=
i
having plenty of enlightening characteristics--see Dan Winter. The !
resulting semi-circle wave timbre sounds like a softly blown delicate
shakahuchi. Maybe you can learn to blow your shakahuchi (if you still have
one) in a way that an oscilloscope shows you have a semicircle wave.
(Enlightenment not guaranteed.)"
=20
In a nut-shell: A semi-circular sound wave (as opposed to a sinusoidal or
sine-shaped wave), produces the sound of a softly-blown shakuhachi! This i=
s
interesting, because there are literally an infinite number of wave forms
possible, and only ONE that would be a pure semi-circle -- so it's pretty
neat that of all the world's instruments, the circle (the most spiritually
fundamental of all shapes) would be related to the shakuhachi.
=20
I hope you are both well!
=20
Warm regards,
=20
Darius
=20
darius kaufmann
dariuswind@earthlink.net
Why Wait? Move to EarthLink.
=20
------ End of Forwarded Message
--B_3190483723_4848747
<HTML>
<HEAD>
<TITLE>FW: Sound waves and shakuhachi</TITLE>
</HEAD>
<BODY>
<FONT FACE=3D"Verdana"><SPAN STYLE=3D'font-size:14.0px'><B>Hi group,<BR>
<BR>
I thought that this email from an old student of mine would be interesting =
to some of you.<BR>
<BR>
(Note: Darius Kauffman is an accomplished performer on the Shakuhachi, Penn=
ywhistle, Native American Flute, Tibetan/Crystal Bowls, Bagpipes, and Glass =
piano. Two fairly recent projects of his that I know about are going on the =
road playing Pennywhistle/Irish Flute with Sinead O’Connor for about 6=
months, and his “glass-piano” playing being that cool backgroun=
d when ever someone started jumping straight backwards in “Crouching T=
iger, Hidden Dragon”):<BR>
</B><BR>
<BR>
<B>Subject: </B>Sound waves and shakuhachi<BR>
<BR>
Hello to both of you! I wanted to share this bit of interesting arcan=
a with you, from a sound mathemetician philosopher astrologer friend:<BR>
<BR>
"You have brought back some experiences I had in the '80's when checki=
ng out a balancing system based on the square, triangle and circle--traces o=
f which can be seen in India, Japan and other places. Your comment abo=
ut the timbre variance range of the shakahuchi applies here, especially that=
comment about the enlightenment following on blowing 'ro' correctly. Square=
and Triangle waves are sums of odd harmonics of a fundamental whose amplitu=
des fall off as the inverse first power and second power of the harmonic num=
ber, (if I recalled that correctly), respectively; so I asked myself, what w=
ould the harmonic analysis of a semi-circle wave be (to complete the triad o=
f types), a positive semi-circle followed by a negative one being a whole cy=
cle. The answer blew me away--the amplitudes fall off as the inverse p=
hi golden section power of the harmonic number, falling there between one an=
d two, phi having plenty of enlightening characteristics--see Dan Winter. Th=
e ! resulting semi-circle wave timbre sounds like a softly blown delicate sh=
akahuchi. Maybe you can learn to blow your shakahuchi (if you still have one=
) in a way that an oscilloscope shows you have a semicircle wave. (Enlighten=
ment not guaranteed.)"<BR>
<BR>
In a nut-shell: A semi-circular sound wave (as opposed to a sinusoidal or s=
ine-shaped wave), produces the sound of a softly-blown shakuhachi! Thi=
s is interesting, because there are literally an infinite number of wave for=
ms possible, and only ONE that would be a pure semi-circle -- so it's pretty=
neat that of all the world's instruments, the circle (the most spiritually =
fundamental of all shapes) would be related to the shakuhachi.<BR>
<BR>
I hope you are both well!<BR>
<BR>
Warm regards,<BR>
<BR>
Darius<BR>
<BR>
darius kaufmann<BR>
dariuswind@earthlink.net<BR>
Why Wait? Move to EarthLink.<BR>
<BR>
<BR>
<BR>
------ End of Forwarded Message<BR>
</SPAN></FONT>
</BODY>
</HTML>
--B_3190483723_4848747--
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