@gdhal
The mathematics you use are correct. However speakers do not behave linearly after a certain point. Worse speakers distort terribly. That point is surprisingly low. Soundstage do NOT test speakers above 95 dB SPL as a level above that will damage most speakers!! (Soundstage conclusions and not my opinion).
Drivers have a limited excursion where they are fairly linear (Xmax). Driver voice coils get extremely hot and that causes significant compression (non linearity). There are a huge amount of challenges for high fidelity (no added distortion) at rock concert levels.
My speakers play at 115 dB SPL linearly even at a continuous level with similar low distortion to playing at modest 85 dB levels. This is extremely rare in a speaker and requires large woofers, large drive motors on the drivers (huuuge magnets), short voice coils in a large gap (to preserve linearity),large diameter voice coils (for better cooling), extremely tight tolerances (better cooling) and lots of clean power - in short a huge amount of engineering is required to achieve this over a speaker that is designed to only play up to 95 dB SPL before starting to distort heavily (the majority of designs). To achieve this performance requires specific engineering that you won’t find in 99.9% of home audio.
Since our ears and brain interprete distortion as loudness most audiophiles think they have speakers that play extremely loud however a dB meter will confirm to them that what they think is loud is actually just huge amounts of distortion giving the appearance of loudness.
The mathematics you use are correct. However speakers do not behave linearly after a certain point. Worse speakers distort terribly. That point is surprisingly low. Soundstage do NOT test speakers above 95 dB SPL as a level above that will damage most speakers!! (Soundstage conclusions and not my opinion).
Drivers have a limited excursion where they are fairly linear (Xmax). Driver voice coils get extremely hot and that causes significant compression (non linearity). There are a huge amount of challenges for high fidelity (no added distortion) at rock concert levels.
My speakers play at 115 dB SPL linearly even at a continuous level with similar low distortion to playing at modest 85 dB levels. This is extremely rare in a speaker and requires large woofers, large drive motors on the drivers (huuuge magnets), short voice coils in a large gap (to preserve linearity),large diameter voice coils (for better cooling), extremely tight tolerances (better cooling) and lots of clean power - in short a huge amount of engineering is required to achieve this over a speaker that is designed to only play up to 95 dB SPL before starting to distort heavily (the majority of designs). To achieve this performance requires specific engineering that you won’t find in 99.9% of home audio.
Since our ears and brain interprete distortion as loudness most audiophiles think they have speakers that play extremely loud however a dB meter will confirm to them that what they think is loud is actually just huge amounts of distortion giving the appearance of loudness.