There are several issues that need to be addressed in answering this
question and they will be difficult to address completely without
circuit knowledge for every piece of equipment asked about.  However,
in general and for the Slim Devices Transporter:

If the unit has op amp or discrete SS output amplifiers and the stated
output impedance is 100 ohms or less, then higher impedance 'phones
like the Sennheisers and Beyerdynamics can be driven with little
problem.  Grados can be driven, but bass performance, in particular,
will suffer.

As a rule of thumb, bass damping will suffer noticeably when the output
impedance of the driving device is more than 1/2 to 1/3 of the 'phones
impedance.  So for 300 ohm 'phones, you really want to stay below 150
ohms if you are a bass freak.  Non-bass freaks like myself are happy
with the sound of a tube preamp with a 300 ohm output impedance driving
300 ohm 'phones, though.

Most line powered equipment is going to power its analog circuitry from
+-12v or +-15v supplies, so output voltage limitation isn't a factor for
'phones, except for the the likes of the AKG K1000.

Thank You. 
Drew Baird, P.E. 
Moon Audio 
308 Chrismill Lane 
Holly Springs, NC 27540 
919-649-5018 
moon-au...@earthlink.net 
http://www.moon-audio.com


-- 
drubrew
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