[Elecraft] Backward CW?

[Mike Morrow]

>As I tune up the band (to higher frequencies) on 40, the pitch of the
>received signal goes up.  On the 820, the pitch goes DOWN as I tune up the
>band.

This info won't be of help, but for *any* sideband receiver:
 
If the received signal's pitch INcreases when tuning UPward, the receiver is in LSB mode.  

If the received signal's pitch DEcreases when tuning UPward, the receiver is in USB mode.

Your K2 receiver is functioning in LSB mode on CW, and your TS-820 is functioning on USB mode on CW.

Mike / KK5F