In search for speakers of "natural" sound

I'll add another possibility here, which is that the audio magic you seek may lie more in the recordings that you choose to play than the equipment on which it is played. There are many brilliantly recorded albums that playback on even somewhat modest systems with a spooky, they're in my room, realness. It could just be that your sources aren't that great to begin with and nothing is going to make them sound the way you'd like. I know I have many albums that are disappointing from this standpoint. I still listen to them because I love the music, but it doesn't give the wow factor.

I don’t see any mentions of speaker placement ... you can get a lot more natural sound if those Harbeths are not jammed against a wall with a bunch of gear in between them. 

If you think Harbeth M30s sound warm (I do not), look into ATC,  ProAC, and Vandersteen. 

Huy did not mention what kind of music he listens to most often.  My experience is that a certain set up will sound best for certain type of music.  I have yet to experience a system that sounds natural for all types of music.  Some people believe that the amps used to voice the speakers during their design would give you the best synergy.  I subscribe to that idea.  In Hut’s case, you should find out what amp was used by Harbeth, and try the same amp with your speakers.  And room treatment as some have mentioned.

Went from Harbeth to Zu Audio and never regretted it. Zu brings the X factor I bet you are searching for. I run Zu Omen Def with Bryston amps and pre. Very good combination imho.