aarond said:
If I'm not mistaken you double your spl (3db gain) when you multiply the power by 10. ie; 1 watt=89db, 10 watts=92db , 100 watts=95db , 1k watt=98db. That is the reason that 100 watts per ch is the norm because 1k watt would be the next level that you would notice.
You are mistaken but only because you are mixing power ratings (watts) and SPL (sound pressure level). Annunaki's example is correct.
If your speakers are 89dB sensitive, then 1 watt of power yields 89db SPL (1 meter from the speaker), 2 watts=92db, 4 watts=95, etc. Every time you double the power(watts) you get a 3dB increase in SPL. The just noticeable difference (JND) actually varies with frequency, but 3dB is taken as the average level increase required to notice an increase.
What you are talking about is the fact that it takes a 10dB increase for the SPL to perceived as 'twice as loud' - again it actually varies with frequency but 10dB is the accepted rule of thumb. So in order to make the sound twice as loud, you need a 10dB increase, which requires 10x as much power; in your example, it would take 1000watts (10x100) in order for you to perceive the SPL of the 1000watt amp as twice as loud as the 100watt amp.
Simply doubling the power from 100watts to 200 watts results in the 3dB increase which is the JND as mentioned above.