Sorry, its hard to write in one foul swoop without getting too confusing.
To set the scene: This is all in a free field environment (no variables) and I'm only picking these frequencies in particular so i can do the equation now and know i am correct.
This is so i can just apply the equation with the correct frequencies on every different sound system that i use giving the best sound out of the speakers. (Just to add, I will also be taking the room into consideration after this process and not at this point).
My objective is to split three tiers of speakers equality using a logarithmic (Log10) equation.
The reason i have chosen these frequencies is because i know:
- The bass drivers (speakers) go as low as 30Hz, in turn i want to roll off at a 24Db per octave slope. Thus choosing 35Hz as a rough estimate.
- The tops (top speakers) go as high as 19000Hz and again i roll off at a 24Db per oct.
- In between these two sets of speakers is a middle layer of speakers (mids) that overlap (frequency wise) both the tops and bass.
When the speakers overlap it boosts the signal by 3Db so the idea is that i create the most flat frequency response from all the speakers combined by crossing the frequencies over at the value worked out by the equation i added before. Also at the point of crossover a -3Db attenuation is added to remove the unwanted boost.
I'm not 100% sure i got the equation correct though, my maths and algebra skills are not the best. ;)
I was always told in university that this was the correct way to get the least stress out of the speakers and the cleanest sound.
Thanks for taking the time to read this, its greatly appreciated.
Gary
Ps Attached is a picture of the sort of sound systems i am currently using.