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[dpm]

Not counting your opponent skipping a turn via Lich, what is the theoretical maximum number of turns one can take in a row? 

I count 47 --

regular turn
Island Folk
Outpost (played during your regular turn)
KC on Voyage x 4 (played during your regular turn)
10 Royal Carriages on the Voyages
10 Crowns on 10 Scepters on the Voyages
Seize the Day
Fleet

Is this correct?

[J Reggie]

You can get a lot more with Overlord, BoM, and Necromancer on Voyage.

[dpm]

Ah.  Not Necromancer, though; only one of those can play a Voyage in the trash. 

I also now realize that there are probably tricks one can do if you trash a Voyage or return it via Way of the Horse and regain it.  So it's probably unbounded then...

[GendoIkari]

I'm quite sure it's unbounded. People have already found ways to play an unbounded number of other various cards in order to generate an unbounded amount of money and buys on a turn.

http://forum.dominionstrategy.com/index.php?topic=17800.0

[pitythefool]

I'm quite sure it's unbounded. People have already found ways to play an unbounded number of other various cards in order to generate an unbounded amount of money and buys on a turn.

http://forum.dominionstrategy.com/index.php?topic=17800.0

Yes, there are many ways to make the number of turns unbounded.
The easiest is probably by using Scepter and Mandarin.
Embellish with a couple of support cards and you have a simple loop.
For instance:

With a Voyage, an Apprentice, and a Graverobber in play; a Mandarin in the trash and a Mandarin in hand with Scepters...

Play Scepter to replay Voyage
Play Scepter to replay Graverobber, gain Mandarin from trash, Scepters return to top of deck.
Play Scepter to replay Apprentice, trash Mandarin, draw 3 Scepters and the other Mandarin.
repeat ...