Theoretical skin effect in copper at 20kHz starts at gauge 18.
Use drill - you'll never make even twisting by hand. Put at least one turn per inch. Twisted wire effectively reduces noise pickup for frequencies that have wavelength longer than pitch of the twist.
Damping factor doesn't matter. 4 ohm speaker's impedance is mostly resistive and is most likely around 3 ohms. This resistance is in series. Xover inductor in series with the woofer is about 0.1 ohm. Your effective DF is less than 1.3. As long as your amp and wires are 10x lower (0.3 ohm) it will change DF only by 10%. 0.128 ohm would be perfectly fine.
Thicker wire would reduce inductance (only a little) but you already do that by twisting. Twisting reduces inductance but also increases capacitance. It should not make a difference with speaker wire.
Make few versions with very tight, tight and loose twisting and listen. magnet wire is cheap. Good luck.
Use drill - you'll never make even twisting by hand. Put at least one turn per inch. Twisted wire effectively reduces noise pickup for frequencies that have wavelength longer than pitch of the twist.
Damping factor doesn't matter. 4 ohm speaker's impedance is mostly resistive and is most likely around 3 ohms. This resistance is in series. Xover inductor in series with the woofer is about 0.1 ohm. Your effective DF is less than 1.3. As long as your amp and wires are 10x lower (0.3 ohm) it will change DF only by 10%. 0.128 ohm would be perfectly fine.
Thicker wire would reduce inductance (only a little) but you already do that by twisting. Twisting reduces inductance but also increases capacitance. It should not make a difference with speaker wire.
Make few versions with very tight, tight and loose twisting and listen. magnet wire is cheap. Good luck.