I am unaware that they levy any sales tax on a simple sale between two private parties, in which the seller is not such a "seller" as defined by the Tennessee "Sales and Use Tax Code." With the exception of when you register a vehicle or boat from such a sale.
Further, it appears that the maximum sales tax rate in Tennessee by all jurisdictions is 9.75%. To arrive at a "sales tax" bill of $665, would imply the "retail sales price" was $6820 - which does not appear to be the case here.
I’d wonder if the "tax bill" is actually a scam!
I’d contact the Tennessee Dept of Revenue... directly... via their published phone number and ask them. I doubt you’ll find they sent you a sales tax bill for such a transaction on an amp priced as low as you suggest, which was purchased from a private party (not a retail seller).
On the other hand... if... you actually did purchase from a "retail seller" as defined by the tax code... and... the real value of the amp is as you suggest (and not $6820), then you will find the actual "sales tax" is very likely less than $50 or $60.