Post by
VimyJ »
https://forums.nicoclub.com/vimyj-u238.html
Thu Feb 12, 2004 8:19 pm
Pythagorous discovered the harmonic series 2500 years ago. Fascintaing relationships. All things are resonant bodies and all things have precisely the same resonant frequencies based upon their fundamental pitch. This never varies.
The fundandental pitch resonates at a ratio of 1:1, the second harmonic at 1:2; third, 1:3; fourth, 1:4; fifth, 1:5; etc.
Tonally (frequency) this can be demonstrated as a fundamental of the given note C; its first overtone (or second harmonic) C1; second overtone, G1; third, C2; fourth E2; fifth, G2 [we have a nice sounding major chord so far]; 6th, Bb2 [now we have something called a dominant 7th chord which is disonant by definition], 7th overtone, C3 [or the eighth harmonic at a ratio of 1:4]; 8th overtone, D3 [we now have what is called a ninth chord which is quite disonant (notice how the intervals are becoming closer and closer in frequency)] and so on. Go high enough and you get to fractions of tones and then fractions of semitones.
If you have a piano you can roughly recreate this series of tones but the piano is a system of ultimate compromise. The intervals you arive at on a piano key board are tempered since the piano keyboard is tuned in a series of equidistant 1/2 tones. Why? because when you start dividing the ratios of the of the harmonics into the frequency of the fundament you arrive at non interger numbers.
I could go on about other things called resultant tones which are pitches that are created by the reinforcing of overtones by other overtones to create a more prominent pitch than would normally be there.
Dennis you are absolutley correct that tire inflations, different wear rates, loads will create interfere patterns. However, given the aproxiamate tires circumference the resultant pitch variation would sound more like a wavering humm.
People wonder what the heck a harmonic balancer is on their exhaust. Well, its there for a reason and that reason is wieght saving among other things.
Somebody please stop me...............
Now the interesting part that determines quality of the resonance is the prevalent overtones of the fundamental pitch which are comprised of its harmonics. A violin sounds different than a clarinet because of the prevalence of favoured harmonics reinforced by the characteristics of the resonant material..........
I'm stopping myself now.