I have some electrical issues with my bike but I'm not sure if this is related or not. The problem is my tachometer will almost never reset itself to 0. When you turn the ignition on, it's supposed to do a self test go from 0 rpm to redline and back but instead it does weird back and forth motions and comes to a stop at random rpm values. Wherever it stops becomes the new 0 and the tach will rev up from that point. Here's a video showing the behavior:

http://www.youtube.com/watch?v=E6Q7oooGTLY

The other electrical issue I have is that the fuse for the gauge cluster has blown twice in the last month so this may or may not be related.

Another electrical issue is my turn signal bulbs keep blowing (3 in the last two days... it's getting expensive.)

I'm not sure if this is normal but when I was looking for a short circuit by measuring the amps when the ignition was off (although there is no draw), I noticed that when I disconnect and reconnect the battery, the tach does the "self test" (although the rest of the gauge cluster doesn't come on like it does with the ignition.) I thought this was odd and maybe related in case it's not supposed to be doing that.

As for the bulbs blowing, I don't understand why either. I've measured the voltage going to the socket and it's within normal range. It only goes up to 14V when revving the engine a lot which I'd assume would be safe for the bulb.

The bike is a 2001 CBR600 F4i.

 

I'd say you definitely have a short somewhere, sounds like you've got a multimeter, do you have a service manual? LINK (Section 19).

 

I have a service manual but I'm not sure what to look for. I tried testing for a short by putting the multimeter inline with the positive terminal on the battery and it shows a constant 0 amps when the bike is off (except for the first couple seconds when the tach does the crazy dance when I connect the battery) which I understand means there is no short?

Any ideas how I can start troubleshooting this?

 

My suggestion, start with replacing the cluster, all that I've heard points directly to that being the source of your problems.

The tach problem is most certainly a cluster problem but I would check the harness for breaks in insulation of the wiring. Your blinker bulb is also related to your cluster in such that the signal for the blinker indicator on the cluster comes from the same 12v source that powers the actual bulb. What I would do: disconnect the cluster and ride for a while. See if you're problems with fuse and bulb blowing go away.