Relate sensitivity/impedance to speaker efficiency


Can you help me relate speaker sensitivity and impedance to how efficient speakers are relative to one another?

What I mean is, given 2 speakers with the same or similar sensitivity (say 89 or 90), if one has a nominal impedance of 4 and another has a nominal impedance of 6, would the higher impedance speaker be easier to drive? Would the higher impedance speaker perhaps offer more flexibility in amplification (perhaps allowing the use of tubes?

What matters more for ease of amplification - a speaker with higher sensitivity or a speaker with a higher nominal impedance? (i.e. given similar nominal impedance, going from a speaker with a sensitivity of 87/88 to one with a sensitivity of 90/91; or given a similar sensitivity, going from a speaker with a nominal impedance of 4 to one with a nominal impedance of 6 or 8?)

I realize the answer to these questions is probably more complex, but are there some general rules to use as guidelines before actually trying the speakers out?
nnck
Still hoping for some explanation of the comments I made directly above.

But I did hear back from Acoustic Zen this afternoon and they verified that the efficiency of the Adagio floorstanding loudspeaker is about 89dB and the measurement is for 1w / 1m.

So it looks like I am comparing 2 speakers: the Adagio (6 ohm speaker) is 89 dB at 1w / 1m vs. the Dali Helicon (4 ohm speaker) which is 89.5dB but at 2.83 volts / 1m.
Nnck, IMO everything in your two posts immediately above is correct, with the very minor exception (which is also irrelevant, based on the response from Acoustic Zen) that in the statement "If that is a measurement at 2.83 volts / 1m, that would mean a sensitivity of 87.5dB (since it is a 6 ohm speaker)" the figure "87.5" should be "87.75." The interpolation between 8 ohms and 4 ohms is not a linear function, since the dB scale is logarithmic, and impedance factors in as a reciprocal.

Best regards,
-- Al
02-11-11: Bifwynne
My question is whether I should think about raising the impedance load in my speaker circuit, perhaps by trying "high(er) impedance" speaker cables (if such things exist).
No, there are many reasons why that is not done and should not be done. For starters:

1)A lot of the amplifier's power capability would be converted into heat in the cables, instead of powering the speakers.
2)Tonal imbalances would result, due to interaction of wire resistance with variations of speaker impedance as a function of frequency.
3)Woofer damping would be severely degraded.

You may be thinking of something called "characteristic impedance," which is not the same thing as "impedance," and which does commonly have fairly high values (sometimes approaching 100 ohms). "Characteristic impedance" is, misleadingly, sometimes referred to as "impedance" for short. "Characteristic impedance" is a different subject altogether, which is primarily relevant at rf frequencies, and does not directly relate to your question.
Do I gain anything by trying the 4 ohm tap?
The only way to tell for sure is to try it. Given that your speakers have a lower impedance in the bass region than at higher frequencies, you may find that the bass is both tighter and stronger (relative to higher frequencies) on the 4 ohm tap. The maximum amount of power that the amp can deliver on the 4 ohm tap, though, will be less compared to what it can deliver into the SAME speakers on the 8 ohm tap.
Will the use of the new KT-120 tube change the impedance/capacitance analysis in any way?
Don't know.

Best regards,
-- Al
Thanks Al and Atmasphere: I experimented with the 4 Ohm taps. Although I can not offer a technical explanation, I can only say that my speakers sounded terrible across the board when played off the 4 Ohm taps: way less efficient, rolled off treble and muddy bass. By contrast, everything was great on the 8 Ohm taps. As I mentioned above, the speakers are nominally rated at 8 Ohms, so I guess that's the way the manufacturer intended them to be played.

I plan to switch out the 6550C power tubes for the KT 120 tubes in a month or two. There's an outfit that breaks the tubes in for 72 hours and matches the tubes using three criteria. The cost is less than half of what ARC charges. I may try them out. When I do, I'll report back. Hifigeek1 is an ARC buff, so he may be interested. Thanks again.
Hi Al, I was involved in a rather ambitious speaker cable project about 25 years ago, wherein we used a time delay reflectometer to analyze a variety of cable geometries. What we found is that characteristic impedance does indeed play a role (not nearly so important as it does at RF frequencies though) in the performance of the cable.

If the load is highly reactive, then the characteristic impedance can be important if the amplifier is otherwise unstable with the back EMF. Just a side note- obviously I am way OT here.

Nnck, my apologies- you were correct and it was me that was getting confused with all the conjecture. But as it has turned out, the less efficient speaker is on the Voltage Paradigm and the more efficient one is on the Power Paradigm, so now we find that it is true that one is about 4 db more efficient than the other, despite the sensitivity of them being almost the same.