9478

Designing End-Blown Flutes

This program provides measurements for hole placement and size toward creating end-blown flutes from straight-walled tubes. The light blue area indicates suitable dimensions for flutes between E and F. The colored "timbre" rectangle indicates brighter or darker timbre as related to the aspect ratio. Bright flutes favor the second octave and darker, the first. A very bright flute will play into the third octave.
Holes are counted from the flute's foot and measured from the head. The fifth hole (uppermost) is often placed on the back and played with a thumb. The scale produced by these flutes is the minor pentatonic. All measurements are in millimeters.
The colored dots indicate whole bass note dimensions that can be made from PCV pipe. Green and blue dots are for 3/4" and 1" schedule 40 (thin walled) PVC. Green dots: D, C#, C, B. Blue dots: A, G#, F#, F. Black and brown dots are for 3/4" and 1" schedule 80 (thick walled) pipe. Black: E, D#, D, C#. Brown: B, Bb, A, G#.
Non-whole note flutes will be tuned to themselves and serve perfectly well as solo flutes.
Click and drag to operate. The play button sounds the nearest whole note pitch to the flute size selected and does not reflect changes in timbre.

THINGS TO TRY

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+