Which to Upgrade first? My Amplifier or Speakers?

Thanks for your feedback.  Much appreciated.  Well, since I posted this originally, I ended up upgrading both.  I got Magnegpan 20.7's.  Awesome output.  Really beautiful. I also got a McIntosh MC462 beast - 400 wpc.  Probably not to your taste, but  I'm loving it.  The power is impressive and works well with Maggies.  I also upgraded my audio stand.  I ordered a stunning piece of furniture from Timbernation, custom built for my needs, made of Tiger wood maple - 2 inch thick shelving, and walnut legs with pin point feet.  Finally, I'm in the midst of improving the sound in my room.  I hung up three 2' x 4' acoustic panels and it made a HUGE difference.  I want to thank millercarbon who really understood this post and another that I made.  His feedback was very inspiring.  There were a few others too.  Loving Audiogon.  You guys are terrific.     

Gentlepersons
Thank you all for your responses.  The diversity of viewpoint, science  and opinion has been interesting, facinating and entertaining.  Some of you sent me to the dictionary; others to links with your recommendations.  Some introduced entirely different avenues to attack the issue of improved sound.  I wanted to respond to each as they came in and have individual dialogue, but I see now that you just hit Respond and address who you want to talk to for the whole crowd to read.  Regardless, I do want to thank you all for taking the time for your feedback to my question.  Very cool!  But, back to business.
The entire point of my original issue is, I love what I have and know it is good.  But, like many of you, I'm looking for the next next step up to improve the quality of aestetics - or like Robert Harley conveys, go for the purity of sound - you want to feel like you're there with the musicians (or a concept to that effect).  That is a pretty high standard and I may never get there - but damn I'm loving the journey as I know most of you do too or you wouldn't bother responding to a post from a novice like myself.  
One of you asked about the rest of my system in order to better respond to my original question.  My original post had a typo in it.  Instead of a McIntosh MP 100 (phono pre-amp) I actually have the 1100 model (8K) which is night and day better.  I've played nothing but vinyl since I got it a month ago. I also have the Kandid cartridge for my Linn Sondek turntable.  I have a subwoofer from REL Stadium II (rebuilt entirely 2 years ago).  The reason I have a multi-channel amp now is because I have a home theatre attached to it.  Maybe some day I'll have a dedicated room for sound, but not yet.  My Pre-amp is a McIntosh MX 121.  There are no treatments to my living room where the system is - though I have a 15 foot ceiling and about 20 x 30 room.  I don't own the place so I'm not investing in treatments, though I got it guys, that would make a world of difference. 
Happy Holidays to the list..
          

The horn
LOL.  Nice to know about the room size.  I've been here 16 years, but plan to move soon.  I'll look for that high ceiling.  My wife would leave me if I even suggested a parachute from the ceiling - but I got it on the echo quality.  I do have some buffer around that tampers it a bit. 
This group continues to amaze me.  Thanks for the feedback.