you didn't confirm if your tach IS run off the alternator. The 15V sounds a little nonsensical, since it's not a specific voltage, but rather what the regulator setting is, which could be 15 but that sounds way too high, more like 14.4 for wet cell batteries.
Now that you add the information that you have a hefty solar array, it becomes more apparent, again IF your have an alternator driven tach.
Wanna know? Turn on your fridge if you have one, or all your lights to create a load, and, if you can disconnect your solar for a half hour or so. Once the battery bank says it can accept some juice and the regulator starts charging, the alternator will run and the tach should, too. Please report back.
This is a simple check before ya go doing anything dangerous, like touching stuff!

Also, it's NOT the tach on your engine, it is the WAY alternators work, true for all alternators nothing to do with the engine at all.
This is NOT crazy. This IS true. Geez, if your batteries are always charged, your alternator will never have to work. That's great!