How do I connect a Thunderbolt display to a 21UX Cintiq Wacom tablet with a single link DVD-I connector?

Question

I just bought a brand new thunderbolt display along with a 2013 mac pro and I'd like to hook my 2 year old 21UX Cintiq Wacom tablet directly to the display using the thunderbolt port on the display itself. Currently, I have the Cintiq daisychain connected directly to the mac pro using an Apple mini display port -> DVI-D (dual link) adapter, which is then connected to a DVI-D (single link) -> DVI-I (dual link) adapter, which is then finally connected to the Cintiq's DVI-I (single link) connector (this is permanently attached to the Cintiq and can't be traded out). As you can imagine, what has resulted is a lot of color variations between the Cintiq and Thunderbolt displays (that color calibration in system preferences has not been able to remedy) as well as some flickering of both displays at random intervals. I'd like the colors of the displays to match as close as possible and for the flickering to stop, of course, and from what I understand, connecting the displays directly with as few adapters as possible is the best way to do that. Unfortunately, most of my searches have not helped very much. Here is a photo of my daisychained set-up to better assist anyone who thinks they might be able to help:
Lastly, just in case: the mini display port to DVI adapter is not compatible with the Thunderbolt display's port, which is why it is connected to the mac pro, so I imagine a solution might require searching for an adapter from a different manufacturer, if such a thing even exists. If not, what other solutions would anyone suggest to get the colors of the displays to match more closely and the flickering to stop as well as lessen the amount of adapters I am using?
Thank you!

Answer 1

From you picture, you have a Mini DisplayPort to Single-Link DVI-D adapter.  (The last in DVI-D is for "Digital", not "Dual-Link".)
You don't need dual link unless the resolution is greater than 1920 x 1200.
Mini DisplayPort devices or adapters won't work plugged directly into a Thunderbolt display.  You need a Thunderbolt disk or dock (with two Thunderbolt ports) connected between the Thunderbolt display and the Mini DisplayPort adapter.