I've only recently ever heard these called "tweeners" -- the term I've always heard was "middling".
My rig for this is really my dream-machine for the mid '90's... It's just new enough to run Win98SE, get on the LAN and use PCI cards, but just old enough to still have ISA slots and not be 'overkill' running certain time sensitive apps. I've gone through several K6/2, Celeron 600 and Pentium MMX setups, but this one is by far my favorites. I also use it as my MIDI composition rig since I've got not just my AWE 64 Gold and Morpheus in it, but also have the MT-32 and SC-7 available through my MIDI patch box. Sadly Win98 was really the last version of Windows to have PROPER MIDI support in the OS.
Shuttle 433 v4 Motherboard
AM5x86-133 P75 (set to 3x 50mhz FSB for 150mhz operation)
256 megs EDO Ram (4x 64MB)
4 Meg Trident 4000 SVGA
16 meg Voodoo 2
AWE 64 Gold
EMU Morpheus (4x Emu8K chips with 64 megs of soundfont RAM on one board)
UniSys U2000 (soft-set ISA NE2000 knockoff)
Adaptec 2940UW SCSI controller
Seagate Cheetah 18 gig 15K RPM U320 SCSI drive
External SCSI Zip drive
External SCSI Jaz drive
1.44m floppy (A
360k floppy (B
DVD-RW (leftover from old build that's now all SATA)
Commodore 1541 on XA-1541 cable (LPT 2)
Homebrew Covox knockoff (LPT 1)
I love this mainboard for its equal count of 4 PCI and 4 ISA slots (even if the center two share a backplane meaning it's either-or)... though it feels almost... dirty having this much RAM in a 486 motherboard.
Primarily I boot into Win98, but I do use it as a BeOS 5 machine as well since I was always a huge BeOS fan. (oh Johnny, did I back the wrong horse.)
Though I am STILL tempted to switch it back to being my K6/2-500 which is gathering dust on a shelf right now; sad part is I'm not that deep in PC-100 or PC-133 anymore, so I'd have half the RAM... I seem to be having SIMM's die en-masse the past six months or so.