I knew there was lots to consider but never realised quite how much!
– @fcb - my speaker is 4 ohm, not 8.
– When you refer to a high pass filter, do you mean for a hypothetical tweeter, for the mid/high range cone or for the whole speaker?
– I looked up porting; I'll have a closer look later but I don't know if I'll have enough room in the enclosure judging by the photos I saw (first glance, could be completely wrong).
– Although it may not be a problem in the short term, I will probably install some better components in the output filter of the amp since I don't completely trust that the phoney caps currently there won't explode in my face.
In this specific case, the highpass filter I am referring to may also be called a "subsonic" filter, though that term is more appropriate with subwoofers. It cuts out the stuff your speaker won't be able to play because of the speaker's natural frequency response (or in the cases of beefy subwoofers, the limits of our hearing - which is technically the more accurate definition of a subsonic filter).
In most audio, most of your power is going to be in the bass frequencies. There's a great graph on sound.westhost.com (which is an EXCELLENT site that I learned a LOT from several years back) that gives an estimation of this.
http://sound.westhost.com/tweeters.htm -- first chart. The way you read it is that at any given frequency, find the power level in % in the graph, and that - on average - is how much of the signal's power is contained in that frequency and below. You can see that it's biased towards bass. That means we need to cut some of that bass out so that we can run enough power in the midrange and treble while not exceeding the speaker's power or excursion limits. This is the highpass filter. With that speaker you will probably want it around 80Hz but you can play with the value a bit depending on what types of material you listen to and stuff.
As a side note, that graph also explains why biamping speakers (running the woofer on one amp and the tweeter/mid on another) doesn't really add much power handling. Your limit is nearly always your woofer, so unless a speaker has multiple woofers that can be run with multiple amps, you aren't going to be able to gain much output capability.
With a ported speaker you typically get more efficiency (most speakers work better ported but not all) but you get a suspension unwinding effect below the port tuning frequency (you tune the port by its diameter and length but it varies per speaker and with box size). This means that it's very easy to hit the excursion limit (Xmax for linear excursion (it'll add way more distortion above that value) or Xmech for actual physical clearance) below that frequency, which can destroy the driver just like running too much power and melting the voice coil can.
I'd normally recommend software like WinISD or Unibox to calculate the box, though it's going to be difficult if your driver doesn't have Thiele-Small (T/S) parameters available. Hopefully Pioneer gives some information about choosing the right enclosure for it. But they might not, since most people are just going to put that in a car door and be done with it.
One thing I had meant to explain in an earlier post but forgot (Mark's reply after this one reminded me). It is more efficient to get your sound from surface area** (edit: fixed typo) than stroke. Meaning larger speakers are typically more sensitive. The reason is mainly because as you increase excursion/stroke capability, you need to add more tolerance in the gap so the coil doesn't rub up against it. But the more tolerance you add, the weaker the magnetic forces become, lowering sensitivity. Also, as power handling increases, voice coil size and weight increases, which hurts high-frequency reproduction (which is a major deal with a coaxial speaker like this). But if you go with a larger speaker with similar Mms (moving mass - another T/S param) and Cms (compliance of the meahcnical suspension) but larger Sd (surface displacement of the cone - yet another T/S param) you will get more sensitivity and thus more volume.