The lowest octave goes from A to A (next lowest). The lowest octave has a frequency range of 27 Hz - 55 Hz. Very few studio monitors go further down than 50 Hz!!
If I'm not completely malinformed, this means that I can never hear the low octave from my speakers correctly even when playing indoor at home?
First off, we know we can hear the low notes on the built-in speakers and they don't come even close 50Hz. By your theory we shous almost never be able to hear those notes. But we do hear them. So there must be more to the theory
Two things happen to enable you to hear the low register (1) The speakers, even if spec's as "60Hz, 3db". do go lower but just with attenuation greater than 3db. So they might be playing those low notes a 1/10 or less volume and (2) This is the largest effect, human hearing do does NOT need to hear the fundemental frquency to hear the pitch. It's just the way the ear works. In fact no one can hear 30Hz. Those low notes are below the range on human hearing. But still we know we hear them. What the brain does is deduce the fundemental from the harmonic serieas. We hear the 2nd, 3rd, 4th and so on overtones, note the space between the overtones and "figure out" what the 1st must have been. Everyone does this.
The better speakers can reproduce (maybe) the 2nd. Cheaper speakers can only do maybe the 3rd or 4th. They begine to sound thin as you loose the lower harmonics.
In amplified music the only way we directly experience those low sounds is a thump in the chest.
How to buy speakers? Pick out a CD from your collectionof solo piano works that you know very well. Take it to the store and listen. Spend a good long time and listen to an entire piece. Ask your self while litening if you can hear certain things, and tally them up. Some cheaper speakers will come up with a shorter tally. For example can yu hear the the damper hittig the string or ther trembre if a high note, or even middle C on a really cheap speaer. Take notes on what you can and can't hear on each speaker
To get those low notes you'd need some expensive gear. and typically, yes musicans who play in bands will spend a
lot on the amps and speaker. The speakers are after all what make the sound.