n+1=4

1. geared
   
2. classic english lugged steel fixed (mercian/holdsworth/etc)
   
3. more modern ride-around fixed
   
4. silly-but-fun lo-pro winter commute / touring bike
   5 - x. handful of frames and forks that you need to go through and decide if you're keeping and building or getting rid of once and for all
   
   

better