This seems to be implying that I will be able to control the individual volumes of each speaker, but I suspect you're actually implying some effect of the lower impedances of these speakers.
With most HT receivers you can. since yours was part of an integrated system, I can't say for sure that you are able to. You should, though and IIWY, I'd be scouring the manual for this info. You're gonna need it.
Which brings us nicely back to my original query at the very beginning of all this: the relationship between resistance, amplification, and sound quality. Pardon my vagueness, but are you saying that the amp will naturally distribute less juice to these speakers because they have lower resistance compared to the 8 Ohm speakers?
This seems counter-intuitive: I=V/R suggests that greater resistance (R) will reduce the current (I) drawn for a given voltage (V). The Power (P) should then be less, since P=VI. Instead, it seems that the lower resistance speaker is expected to draw less current and output less power than the others, thus being overshadowed..
Wow, that's a lot of analyzing for a fairly simple concept. Let's try to simplify it so my old head can wrap my old, feeble brain around it. I haven't had any engineering courses since the early 70's so please bear with me. I have, however, been playing with these audio thingies since the early 60's when I built my first amp from cannibalized table radios
Let's start with the fact that what your equation calls resistance" is a constant. What a speaker has isn't resistance per se.. Although it's stated in ohms, it's really impedance, which your training probably told you is a calculated figure and is frequency dependent and is all over the chart in the audio range. And, the stated figure is a "nominal" impedance which is kinda like the EPA mileage rating on cars. So, your power to sound math flies out the window here.
Now, on to the easy, fun stuff.
First basic ides in SOP figuring: A speakers main goal is to move air. The more air that is moved, the louder the sound will be.
First Exercise in SOP figuring: Look at your front main speakers.
Now look at what you'll be using for your center speaker.
Which does your gut instinct tell you will move more air (play louder) with the volume controls set to the same level?
Second Exercise in SOP figuring: Look at your front main speakers.
Now look at what you'll be using for your "subwoofer"*.
Which does your gut instinct tell you will move more air (play louder) with the volume controls set to the same level?
And, for all intents and purposes, as long as the amp is of a decent quality and has enough clean power to drive the speaker to comfortable levels, it has little influence on the overall sound.
Finally, assuming what was stated in the previous paragraph, the impedance of the speaker has no effect on sound quality. But, the pecs on your receiver do leave ma a but unsure. They seem to be "grasping" for big numbers to show on the spec sheet, which most receivers don't do.
Math and book larnin' is good, but real-world experience can be quite handy and save a bit of consternation sometimes.
Now, there's a lot more for you to grasp, like timbre matching, frequency range, etc..., but you're coming in here with preconcieved notions is gonna make your learning curve fairly long and painful. It would have been better if perhaps you came in asking the basics first instead of trying to fit a square peg into a round hole, which is essentially what you're trying to do.
*I put the word "Subwoofer" because I do believe it's more of a common bass speaker than a real subwoofer which operates to near subsonic frequencies., mush like those that's found in a Bose system.
