>>Our high holiday prayer book likes the dates of Rosh Hashanah for a 20-year period or so. We have older and newer prayer books around, so I can probably produce a list from sometime in the 70's until sometime in the 20's. If you want, I can send you a list and you can see whether there's a correlation.
>>
>Please, I'd be very interested in seeing it.

Got time this evening to type these in. Sorry for the length of the message, but I wanted to give you something that you can pop in text file and import into a table. (In fact, seeing the whole list this way has me inclined to play with it, too.) For Yom Kippur, add 9 to the date here.

10/3/1959
9/22/1960
9/11/1961
9/29/1962
9/19/1963
9/7/1964
9/27/1965
9/15/1966
10/5/1967
9/23/1968
9/13/1969
10/1/1970
9/20/1971
9/9/1972
9/27/1973
9/17/1974
9/6/1975
9/25/1976
9/13/1977
10/2/1978
9/22/1979
9/11/1980
9/29/1981
9/18/1982
9/8/1983
9/27/1984
9/16/1985
10/4/1986
9/24/1987
9/12/1988
9/30/1989
9/20/1990
9/9/1991
9/28/1992
9/16/1993
9/6/1994
9/25/1995
9/14/1996
10/2/1997
9/21/1998
9/11/1999
9/30/2000
9/18/2001
9/7/2002
9/27/2003
9/16/2004
10/4/2005
9/23/2006
9/13/2007
9/30/2008
9/19/2009
9/9/2010
9/29/2011