As good as it gets


I recently purchased a new  integrated amp. It has tube's and I wondered if there is a burn in period, or do they sound as good day one as after 4 weeks?
mfdamon
Of course it will sound better. And not just for 4 weeks either I bet. 

Tubes are the least of what benefits from being used. Most of the sound of a tube amp is transformers, followed by caps and then circuit design and parts quality. Very little of it is the tubes themselves. But tubes are the one thing guys feel comfortable changing. So being guys they assume what they do matters. It must be the tubes.

Its not the tubes.
new tube amp needs to run for at least 50 hours music or no music, as per @celtic66 , but bare in mind, it's best to turn off tube gear when not under control for safety.
To noromance
I guess I hope it improves a little. I am comparing it to another good amp and don't hear the sound I as hoping for.
A bit of a slippery slope here.  Tubes really do make a difference, but as with everything, it's relative to parts quality supporting it all.  I spent a considerable sum on 300B tubes plus the others for my Manley preamp and it changed considerably for the better.

The Manley came stock with decent tubes, EH.  My Mahi Mahi mono blocks came with EH stock.  Upgrading those really changed and improved performance.  I don't know the level of your integrated.  Millercarbon is perhaps correct that the other pieces are more important.