Query a table according to SYSTIMESTAMP for records within an interval

Hello ,
I am trying to query a table based on the systimestamp and taking two timestamp as intervals.Following is the query:
select * FROM MY_TBL where to_char(SYSTIMESTAMP,'YYYY-MM-DD HH24:MI:SS')
BETWEEN (to_char(SYSTIMESTAMP - INTERVAL '40' hour, 'yyyy-mm-dd HH24:MI:SS'))
AND (to_char(SYSTIMESTAMP - INTERVAL '16' hour, 'yyyy-mm-dd HH24:MI:SS'));
I am not getting any results.(no rows selected)
So i tried:
SELECT * FROM MY_TBL AS OF TIMESTAMP
to_date(to_char(SYSTIMESTAMP - INTERVAL '40' hour, 'yyyy-mm-dd HH24:MI:SS'),'YYYY-MM-DD HH24:MI:SS')
- to_date(to_char(SYSTIMESTAMP - INTERVAL '16' hour, 'yyyy-mm-dd HH24:MI:SS'),'YYYY-MM-DD HH24:MI:SS');
ERROR at line 3:
ORA-00932: inconsistent datatypes: expected TIMESTAMP got DATE JULIAN
Since TIMESTAMP is in a different format.I may be getting this error.How do i cast TIMESTAMP in the above query to map to the intervals.
Please let me know how to approach this issue.
Thanks in Advance,
Santosh

Thanks for the quick and prompt replies....
To provide a quick background.I am providing a daily report to my customer which is based on column (DATE type) in the table.But the records were inconsistent.Hence it was agreed that we get the report based on systime stamp.
Range is : between day-before-yesterday midnight(START_TIME) and yesterday midnight(END_TIME).A perl script runs the report at midnight 2 AM as cron .So i figure the interval can be :
(SYSTIMESTAMP - INTERVAL '40' hour) - It is 12 AM day before-yesterday-night if run at 2 AM - Interval 1
--------------------------------------------------------BETWEEN----------------------------------------------------------------------------
(SYSTIMESTAMP - INTERVAL '16' hour) - It is 12 AM day yesterday-night if run at 2 AM - Interval 2
SQL> select to_timestamp(to_char(SYSTIMESTAMP - INTERVAL '40' hour, 'yyyy-mm-dd HH24:MI:SS'),'YYYY-MM-DD HH24:MI:SS')START_TIME from dual;
START_TIME
08-JUN-09 06.43.59.000000000 PM
SQL> select to_timestamp(to_char(SYSTIMESTAMP - INTERVAL '16' hour, 'yyyy-mm-dd HH24:MI:SS'),'YYYY-MM-DD HH24:MI:SS') END_TIME from dual
2 ;
END_TIME
09-JUN-09 06.44.46.000000000 PM
How do i get the records for these two intervals.
Thankyou..
-Santosh

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