Speaker efficiency vs. power requirements


Recently someone gave me the "math" behind speaker efficiency ratings and power requirements. Although I am not sure if the information below is 100% accurate, it is what I have been told. Can we lay this on the table for discussion and try to resolve this confusing issue once and for all?

0 db is a power ratio of 1. Records and tape have dynamic ranges of 30-40db. To achieve a 30db dynamic range requires a power ratio of 1,000:1 and 40 db requires 10,000:1. So if you assign 1 watt of power to a speaker yielding 90db SPL, you need 1000 watts to deliver a true 30db dynamic range. With digital material we find dynamic ranges of 60-70db requiring power ratios of 1,000,000:1 & 10,000,000:1 respectively. Power amps of 1-10 million watts are not feasible today but the point is, more power offers more dynamic realism. Forget power vs. loudness because that really is not a factor in the overall scheme.
bwhite
Drjjpdc: Your comment "Therefore a 200 watt amp has twice the wattage of a 100 watt amp and is only 3 db louder, which is about the limits that you can detect by ear." is WAY off base. I use a dB meter on a daily basis at work and differences of less than 1 dB are easily discernable on my less than "hi resolution" test bench using a 4" communications grade speaker and test tones. Some people have demonstrated hearing differences down into the millibel range under test conditions.

Herman: 100 dB's is too quiet. I would say that a system should be able to do at least 110 dB's at the seated listening position. This is not too hard to accomplish so long as you have enough amplifier for the size room that you are in and relatively efficient speakers that don't go into massive compression when fed some juice. Obviously, using more efficient speakers in a smaller room would put most people WAY ahead of the game. Sean
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Sorry Sean I did not mean to say that nobody can hear less than 3db differences. I meant to say that in the context of our discussion on amplifiers, a 3db difference and doubling amp power is barely discernible as hearing a loudness difference in the 2 amps. That is different than perceiving loudness changes in sound during decibel testing. That is why in audio circles if we have a 100 watt amp, we need to buy at least a 200 watt one to hear a noticeable difference in power as opposed to hearing subtle differences.
I was just reading Robert Harley's chapter on amplifiers in his book, "The Complete Guide to High-End Audio," last night. He explains all this fairly clearly. He makes it pretty easy to understand and calculate an amps potential versus speaker requirements, how to determine the dBW power rating, what it means, and why it is useful. Give it a read. You'll get all you need.