Occasionally I see 6 ohm speakers that I like. There is a pair that I'm very interested in purchasing. From previous posts I found out that my current Polk Rti a9 speakers are rated "nominally" for 8 ohms. These have actually been measured closer to 6.34 ohms or something like that, and I've read that this kind of nebulous rating is a common occurrence for many speakers brands. It causes confusion for someone new, wishing to spend hard earned money on this gear.
Verdinut, lovinthehd, and ski2xblack are correct. Impedance in loudspeakers is not a constant value, it varies with the frequency. For example, the Polk RTi A1 as measured by
SoundStage Network:
It's impedance goes a tiny bit lower than 4 ohms, around 200 Hz. For much of the audio range, it's impedance is above that. For the purposes of choosing an amp, impedance values lower than 4 ohms can pose a problem for some amps, but higher impedances pose no problem. Definitions of "nominal impedance" can vary, but as you can see, an impedance curve tells you more than a single number.
Most of the power amps I see show wattage specs for 4 and 8 ohm speakers. One amp in particular that I'm looking to purchase very soon to connect to the Polks specs out with ratings for 800 watts into 4 ohms and 550 watts into 8 ohms.
Sound and Vision's HT Lab measures the ATi A9 speaker's sensitivity as 90.5 dB (500 Hz to 2 kHz). Measured 1 meter away, 1 watt (2.83 volts) produces sound that is 90.5 dB – that's quite loud. Polk rates this speaker as nominally 8 ohms. By those numbers, this speaker should not be hard to drive. If you plan on using a 550 watt amp at 8 ohms, it will be loafing while driving these speakers. It might be more amp than you need. For less money, even a 200-250 watt/channel amp would be loafing.
What would the math for the wattage come out to with 6 ohms rated speakers? What setting should I set the amp to if I were to connect 6 ohm speakers, what about my Polks are they 6 ohm or 8 ohm? I'm not even sure if that amp has specific settings that I can change. My current Pioneer AVR does have settings for 4 and 8 ohm speakers, but not for 6 ohms. Just out of curiosity, is there a calculation for wattage that I can use with other amplifiers against a given set of speakers if the rating is not listed for a specific speaker ohm rating?
Many AVRs, such as your Pioneer, have impedance switches that actually limit the output of the AVR's amp section so it won't overheat or fail. Most or all stand-alone amps do not have those switches, and should be stable (they won't go into oscillation, overheat, or fail) at lower impedances.
Because speaker impedance varies with the frequency, it's pointless to worry about calculating the wattage they might draw. With the right lab test equipment you could measure it, but any effort at calculating would be only a rough estimation. Don't worry about it.