i want to make a set of pan pipes and would like to know what the formula for calculating the length and diameter of a given pipe should be to create perfect pitch notes [A,B,C,D,E,F,G] am i right in thinking this is related to Pythagoras? many thanks :-) gareth, wales
2007-10-09 04:46:29 · 2 answers · asked by want to make pan pipes :-) 1 in Science & Mathematics ➔ Engineering
Look down to the "Resonance of Tube in Air" section:
http://en.wikipedia.org/wiki/Acoustic_resonance
Your frequencies are (based on A4=440Hz)
G3 = 196.00 Hz
A3 = 220
B3 = 246.94
C4 = 261.63 (middle C on a piano)
D4 = 293.66
E4 = 329.63
F4 = 349.23
G4 = 391.99
A4 = 440
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A5 = 880
The ratios of the first octave apply to the 2nd octave -- there's where Pythagoras comes 'in', although his golden ratios are slightly different that the western well-tempered scale given above.
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2007-10-09 05:19:40 · answer #1 · answered by tlbs101 7 · 0⤊ 0⤋
Here is another reference:
http://www.glenbrook.k12.il.us/gbssci/phys/Class/sound/u11l5d.html
2007-10-09 05:42:13 · answer #2 · answered by oil field trash 7 · 0⤊ 0⤋