Waking Spirit Productions
Vance Pennington - Flute Maker
Koko World Flutes


Phi Gamma Phi Flute

A new concept in transverse (side blown) and end blown Musical Instruments

The first flute ever to play the 'Sounds of the Universe'!


Padauk with Camphor Burl Endcaps



Click on images for larger view
Phi Gamma


Based upon The Fibonacci Spiral.

A Fibonacci Spiral is created by drawing circular arcs connecting the opposite corner of squares. A grid is created by multiplying the first square, and then consecutive squares by Phi (1.61803399).

Phi Demo

By mathematically increasing this shape, you will have a formation as shown below......

Fibonacci Spiral

......and by drawing a curve diagonally across each square you finish up with what is known as a

FIBONACCI SPIRAL.

The Fibonacci sequence of numbers is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, etc.

Using this same principal the Phi Flute is created from a fixed measurement within the flute so that the length, bore size, tuning holes, fingering holes, thumb holes, embouchure, wall thickness are all relevant to Phi in both size and placement.

If one is to look at the flute in relation to the Fibonacci Spiral you will see that the placement of all holes, including the embouchure etc., are all at points where the spiral touches a straight line.

The notes played by the flute are not specific to modern day tuning(s) but are pure, natural sounds of Mother Nature and the unheard voice of the Universe.


For more information please contact Vance

Surprisingly, this spiral is found everywhere in Mother Nature. The Nautilus shell is based on the Fibonacci Spiral (Phi = 1.61803399) and other examples are shown below.


Padauk with Camphor Burl Endcaps
 
Total Length approximately
Fundamental
Phi Gamma
end blown
30"
A3
(low A)
@ 432 Hz.


Phi Gamma Flute
$300.00 plus S&I

SOLD



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