FA50 FLC APPARENTLY CAUGHT BTWN ZAU AND ZID MIS-FREQ ISSUANCE.

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IN CRUISE FLT AT FL330 ENRTE TO CINCINNATI LUNKEN FIELD (LUK) FROM MADISON; WI (MSN) ABOUT 50 NM N OF DANVILLE VOR (DNV) WE WERE INSTRUCTED BY ZAU TO PROCEED DIRECT DNV AND DO THE TARNE 1 ARR TO LUNKEN. ALSO; CONTACT ZAU 121.27. WE CHKED IN WITH CTR AND THEY REPEATED THE SAME DIRECTIONS 'DNV AND TARNE 1 TO LUK.' CLOSE TO DNV WE WERE INSTRUCTED TO CONTACT ZAU ON 118.22. WE ACKNOWLEDGED. WE CHKED IN AS 'FLT XXX LEVEL FL330' WITH ONLY A 'ROGER' REPLY FROM CTR. WE CONTINUED THE ARR. THERE IS A XING LISTED ON THE ARR TO CROSS TARNE AT 11000 FT. WE WERE COMING UP TO A POINT WE NEEDED TO START DOWN TO MEET THE XING IF NEEDED. I CALLED ZAU AND SAID 'ZAU; FLT XXX; DO YOU WANT US TO MEET THE XING ALT AT TARNE.' THE REPLY WAS 'NEGATIVE; MAINTAIN FL280 FOR NOW.' I REPLIED 'FLT XXX FL280.' WE WERE AT FL330 SO WE STARTED DOWN FOR FL280. WE LEVELED AT FL280 STILL NEEDING LOWER TO GET INTO LUK. I CALLED AGAIN TO CTR 'FLT XXX WE NEED LOWER;' THE REPLY WAS 'WHO WANTS LOWER.' I SAID 'FLT XXX.' HIS REPLY 'WHERE ARE YOU.' I GAVE OUR POS AS 35 MI WSW OF LUK. HE SAID; 'YOU'RE ON THE WRONG FREQ; GO BACK TO THE LAST ASSIGNED.' I TOLD HIM 'HE WAS OUR LAST ASSIGNED' AND 'YOU JUST GAVE US FL280 3 MINS AGO.' HE CAME BACK AND SAID 'IS THIS FLT YYY;' AND I SAID 'NO; IT'S FLT XXX.' HE INSTRUCTED US TO STANDBY. HE CAME BACK AND GAVE US A FREQ FOR ZID. WE CHKED ON WITH ZID AT FL280; THEIR FIRST REPLY WAS 'WELCOME ABOARD; WE'VE BEEN LOOKING FOR YOU. DID YOU JUST DECIDE TO DSND TO FL280 ON YOUR OWN?' WE REPLIED WITH;' NO; THE LAST CTLR ASSIGNED US FL280.' HE ASKED WHAT FREQ THAT WAS AND I TOLD HIM 118.22. HE REPLIED WITH 'ROGER; WE'LL TALK TO THEM.' THIS WHOLE TIME WE STAYED ON THE ARR. ZID CAME BACK AND GAVE US A PHONE NUMBER TO CALL ONCE ON THE GND. WE CONTINUED ON TO LUK AND LANDED AND CALLED CTR ONCE ON GND. WE TALKED TO THE CTR MGR ONCE ON THE GND EXPLAINING OUR SIDE. HE SAID HE WOULD REVIEW TAPES AND LET US KNOW.