@Articnoise, I agree with much of what you've written and I applaud your last line (*), BUT, more output power provided to the transducer produces more SPL and that's not debatable, it's physics. However, just the power output spec on its own is one of the least important specs
for quality once you have enough to get to your listening level with some headroom for clipping/distortion for peak levels within the gears limits.
I would never suggest driving the LCD-4 with a low powered or poorly designed amp just because it can get loud enough. I'm talking about high quality gear that doesn't fall apart when the volume is turned up, and that is down to good design. I get what you're saying about amps sounding congested long before hitting near max volume, but with headphones I've rarely experienced this if the gear is designed well. I find within 80% of max volume is a good guideline for most well designed headphone gear. We are talking about a 200 Ohm load with
97dB SPL/mW sensitivity, which isn't a stupid difficult load to drive well with TOTL gear, which the LCD-4 deserves. If the sensitivity were in the low 90s or in the 80s with the same impedance then yeah, it would be a slightly different conversation.
Oh, and I'm well aware of perceived loudness and the logarithmic scale for dB levels ; )
I often quote SPL measurements in reference to peaks and not RMS, and the chart I show clearly provides the V / A / W needed. If one is listening to dynamic peaks louder than 111dB then they are listening
very loudly, or the music has unbelievably incredible dynamic range. I personally don't like wincing when I hear loud dynamic peaks in my music at 111dB. Also, the charts I've posted clearly demonstrate how much less power a 10dB difference in SPL requires (~10x), which is why I quote very loud dB numbers to cover most bases. 101dB peaks would still seem quite loud to most people and require 10x less power than the 231mW quoted by Rob with the DAVE for 111dB.
This isn't specific to the DAVE either. If any amp sounds better because it has 50% headroom it is more of a statement on the quality of the amp than the power required at the transducer.
Yes, I'm being academically pedantic.
Another consideration is the music that is being played may be mixed/mastered poorly (which is too common nowadays) and this is what falls apart to the listener at louder volumes (especially with better gear). If not identifying the music when making comments all bets are off when discussing quality of the gear.
Touching on fidelity, it is defined as how accurately the source signal is reproduced. The gear that measures better to the source is the better designed gear, for fidelity. On the other hand, some gear measures poorly but can sound very pleasant (especially louder), which is why I say preferences are very important as well, if not the most important metric for enjoyment. This is why I'd encourage people to ask how something actually sounds in the audio chain after they know there is enough power (charts help with this knowledge).
As an aside... The human brain/hearing is very tuned-in to
relative differences, but very poor at identifying them accurately on their own. That's why we usually distinguish a 0.5dB difference in loudness as more dynamic and clear sounding, yet we fail miserably to attribute the difference to a slight increase in dB levels. Most people can not distinguish a 1dB increase as actually louder and the
average person needs around 3dB (double the power) to even begin to easily perceive a difference in loudness. Human psychoacoustics are a funny thing. It's the same with our eyesight - we can easily distinguish a slight difference relative from one thing to the other, but we are incredibly poor at visually identifying minute differences
accurately without a point of reference.