Here are the predicted start times for observing the Lunar X illumination using 1.2 sun alt as the parameter:
2011
January 12 0012 UT
February 10 1526 UT
March 12 0543 UT
April 10 1837 UT
May 10 0610 UT
June 8 1642 UT
July 8 0247 UT
August 6 1305 UT
September 5 0012 UT
October 4 1232 UT
November 3 0214 UT
December 2 1704 UT
2011
January 12 0012 UT
February 10 1526 UT
March 12 0543 UT
April 10 1837 UT
May 10 0610 UT
June 8 1642 UT
July 8 0247 UT
August 6 1305 UT
September 5 0012 UT
October 4 1232 UT
November 3 0214 UT
December 2 1704 UT