Quote:
Originally Posted by Treva DUH!
There'll be a gazillion results.
I prefer trusting people here. |
Pan law is just something they put in to confuse the rubes.
(That's not true. But it is why you should take a little more initiative and responsibility for educating yourself. If you just 'trust people' on a 'net BB, you're likely to get your head filled with a truckload of nonsense.

)
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And speaking of a truckload of nonsense, here are
my additional thoughts on FP and DAWs...
With regard to the OP question, using a fixed point system affords the maximum mathematical resolution for the designated number of bits used to store the number -- but, as correctly noted, it is a fixed range.
If you use a floating point system to store such a value, you devote some of that memory to store the 'significant' value, and the rest to store exponent information. It's the exponent information that allows us to 'scale' over a wide range of potential values -- but the precision of the number, whether it's .12345 or 123.45 remains the same.
Again, it's very important to understand that the
precision is
not unlimited. Think of the precision as a
range that can be scaled to much higher or lower values.
So, if you devote 24 bits of memory to store an value, you have a maximum theoretical resolution of 144 dB set to a fixed range. A 32 bit FP system would deliver about the same 144 dB of mathematical resolution but it could be floated so that the maximum value was -20 dB, -200 dB or 20 or 200 DB. But the minimum possible value would still be ~144 dB below the maximum (assuming 24 bits of effective precision).
FWIW, the way FP is used in audio DAWs, a 32 bit FP number can store approximately 25 bits of significant data, with the rest used for exponential scaling. (24 bits for the number, AIRI, and a bit devoted to signifying + or -, since we want to allow values above 0 dB for our DAW purposes.) Common 64 bit FP systems will typically deliver 53 bits, IIRC. (IOW, don't be fooled by the 'coincidence' of a 32 bit FP number providing 24 bits. It's not 'proportional' in a linear sense.)
http://en.wikipedia.org/wiki/Floating_point