Quote:
Originally Posted by GregorArturo
That is completely plausible. However, one needs to realize the importance is NOT value, but the ratio between things/objects/instances. The geometric foot is not an arbitrary value in terms of how it relates to other things. However, it is not the value, but the value's relationship to another value.
If you take six out of the number system, it alone has no true purpose, and also the entire [number] system fails. It does not work. 3 plus 3 no longer equals 6. You can only begin to imagine the chaos! This can also me applied metaphysically, in that without you, your being and existence, life ceases to exist!
Anyways, it is the ratios that matter. Harmonics are based on the relationships of prime numbers, not values. I can tell you without a doubt that C is most certainly 256 hz. I am absolutely positive without a doubt on that, in that C is a multiple of 2 (128 hz & 512 hz). Also note, that quartz crystal resonates at a perfect octave of C, or 32768 hz (2^15).
G is also another easily one to verify in that it is a ratio of 3/2, a ratio is primes, and is considered part of the second harmonic beyond the octave of C, also known as the perfect fifth. As far as I know, I am using Just intonation. Equal temperament is used to provide a larger range of frequencies, specifically for an instrument (electronic instrument/electronica this can easily be worked around), that is more linear based versus prime ratio based, however, not as natural.
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I believe it is close to 256. The problem is perfectnes, maybe it is 256.001 or 257...
And still, it is based on relative system, not on geometry.
this form the link
http://en.wikipedia.org/wiki/Quartz_oscillator
"For example, a 6 pF 32 kHz crystal has a parallel resonance frequency of 32,768 Hz when a 6.0 pF capacitor is placed across the crystal. Without this capacitance, the resonance frequency is higher than 32,768 Hz."
This crystals are specially made to resonate in this frequency, so it is not a god frame of reference