I've never heard them hooked up to Martin Logans, but I have heard them driving some Carver Platinums, and some custom-built speakers based on the Carver Amazing's ribbons with JL Audio woofs, and a set of Taylor Acoustic towers. On all these speakers, they delivered a lot of clean, clear power, and a very focused soundstage with a lot of resolution.
The Odyssey amps seem to never run out of juice. The have truckloads of very clean power, and deliver a level of punch in the bass that is hard to find in their price range. As far as "bang for the buck" they are a great deal, IMO. They seem to never even break a sweat when driving difficult loads, and seem to have clean output even when you're driving them to ear-bleeding levels.
All that said, I found them a little on the "dry and analytical" side. If you like the "old Krell sound", you will be very impressed with the Odysseys. They have a very clean, clear, highly resolved sound, and have tons of detail. But if you like your amps to be a little on the "warm" side, or if you dig the "tube sound" you might not be so keen on the Odysseys.
But for their price, I think they are a great buy. If you're on a budget, and need tons and tons of power, they are hard to beat...
--Richard