Can you recommend a good 3 way speaker for electronica music?
Sure...
here's three recommendations:
salk ht3
thiel 3.5
thiel 3.6
... all priced beyond what I understand your budget to be. You've requested recommendations for a 3-way speaker that performs at an unrealistic level given your expressed budget, thus the diversion into the sub and other 2-way speaker recommendations. IME, the speaker you want doesn't exist.
The majority of respondents disagree with (1) your perception of 2-way speakers, (2) the supposed advantage of 3-way speakers, (3) your perception of subs, and (4) the assertion that you can spend so little and get so much. Though it may appear otherwise from your perspective, those who've replied to your posts have attempted to assist you in making an intelligent, informed decision.
When someone requests recommendations for a *thing* perceived as unrealistic, folk are prone to offer alternative solutions, and the helpful ones go so far as to provide justifications (price, performance, etc.) for their suggestions. IMHO, most who've participated in this thread have been
very helpful.
Again, virtually every response has been in reference to an alternative to your proposed solution; interesting, no? It is to me, but oddly enough, it doesn't appear to interest you at all.
But in the end, it's still your money. Mistakes can be expensive, but those which adversely affect the bank account aren't often forgotten.