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Pick any good 4" full range and carry around a portable sub woofer. 4" and great bass don't really go together.
If your box dimensions are outside measurements, most 4 inch drivers won't fit.As mentioned small driver and small cabinet means lack of bass (and low efficiency). Fostex might be your best option. Check Madisound.comNot cheap, but the best small driver might be the E. J. Jordan Eikona driver. Reportedly works in sealed (4 liters, F3 = 85 Hz); ported (slightly larger, F3 = 55 Hz); and transmission line (floor standing, F3 = 27 Hz) cabinets.
Some vendors like Parts Express indicate the ideal sealed and ported volumes. Fostex even provides recommended enclosure designs. A search of the internet for "sealed/ported loudspeaker cabinet calculator" will provide a multitude of simple programs.
Will this be next to a boundary (wall/floor) ?
What is more important for me: f3 or fb freq. for sealed box ?
This looks like a nice driver, but is 5".https://www.madisoundspeakerstore.com/approx-5-fullrange/fostex-ff125wk-5-full-range/Looks like it is used in the inner spirit speaker:http://unityaudio.ca/products.htmlJeff