Take a look at this driver: Usher 8945P
Now assuming you use a tweeter that is capable of being crossed over at the following three frequencies with no problems how do you think each speaker will sound different?
1.5KHz
2KHz
3KHz
I would guess that at 1.5KHz the speaker would sound a bit laid back in the midrange. At 2KHz the speaker will still sound laid back between 1-1.5KHz but then start to have a bit of a foward characteristic. Then at 3KHz I would definitely find the speaker to be forward.
When I say "crossover" I don't mean just the circuits that select the roll-off frequencies for the drivers, but all the various additional circuits that smooth the response or improve the overall performance of the speaker. There are plenty of commercially available speakers with crossovers that skip one or several of these, but no good speaker omits them.
Thanks for including that FR graph. It's a useful illustration. That Usher woofer has a typical FR curve of a woofer with a Kevlar or carbon fiber cone (after I looked it up, it's a paper/carbon fiber composite cone). The raised response at the high end of its FR at 3-4 kHz is typical. This bump in response may be due to a reflected resonance coming from where the stiff cone meets the flexible rubber surround, or it may be due to breakup, when the cone stops moving back and forth like a rigid piston and begins to ripple and flex. Carbon fiber and Kevlar woofers do this worse than paper woofers, but not as bad as metal drivers.
What ever causes these upper midrange peaks, they are noise that you don't want to hear. The crossover should suppress those frequencies to the point where they are inaudible. Otherwise it might produce an irritating edge to the speaker’s sound. Speakers that at first listen seem to add detail over and above what is in the recording generally suffer woofers with these kind of upper midrange peaks. Not surprisingly, many people mistakenly believe this fatiguing sound comes from the tweeter and not the woofer.
So to go back to your question that follows the FR graph, I would begin rolling off that woofer at 1.5 kHz or lower, to avoid hearing any of those resonance or breakup peaks. The slight dip just below 1.5 kHz can easily be smoothed out so it won't be noticed. Remember, this is a region where the tweeter also contributes about half the sound and that will help minimize the dip.
My other point about choosing the crossover frequency reflects avaserfi's earlier post that the FR curve you posted only shows on-axis response. To get the maximum dispersion and imaging from a speaker, a crossover designer should select a woofer roll-off frequency that is below the point where the woofer's off-axis response drops significantly below the on-axis response. That's why a manufacturer should provide a FR curves that show on-axis and off-axis curves. Here is an
example where on-axis and 30° and 60° off-axis FR curves are shown in one graph.
Diffraction directly effects polar response of a loudspeaker. Such effects can have drastic effects on loudspeaker performance depending on the drivers used, room interaction and resonances within the loudspeaker. For ideal soundstage and imaging as well as timbre information diffraction issues need be eliminated by use of a waveguide (if it allows proper polar response) or baffle design.
Your points are correct, but I was limiting my earlier comments about baffle diffraction to what happens when two identical speakers are compared. One speaker is in a cabinet with squared edges, and the other has rounded edges with a ¾" radius. Here is an
example.
The differences a small but measurable. It is debateable how audible those differences are.
So from the posts received thus far, its fair to say that crossover is the the number #1 component in making speakers sound different from one another.
How much affect would cabinet resonance have towards making speakers sound different? It gets mentioend alot around here but I wonder how much this really plays into the sound.
That’s something that I've also wondered about, but until we see a quantitative comparison we won't know. The standard FR curves for speakers, and the curves showing cabinet resonances are like comparing apples and oranges. I don't understand how to directly compare them.