To clarify, your just plugging your mic into the unit and not using the 1/4" instrument in / out ? The unit is devolping the harmonies just from your vocal signal ?
No, you HAVE to use the 1/4" input to tell the unit the chords. It doesn't matter if this signal is mono of 1/2 of a stereo signal, as the chords will still be generated, and the signal will pass thru unaffected. The mic, however, DOES get the processing from the pedal, regarding EQ, Reverb, harmony etc.
So, to recap:
1) Plug one output jack (L or R) into the Harmony Singer 1/4" input
2) Plug the "thru" from the Harmony singer into your PA, mixer, or amp. If stereo, plug the other output directly.
3) Plug your mic into the XLR input on the TC unit
4) Plug the XLR output on the TC into a transformer cable that matches the impedance to 1/4" .... this goes into the "Mic Input" on your keyboard.
In this scenario, the mic, and harmonies are mono, but the kb is stereo