Why do the Propers have different numbering systems?
The Proper numbers within brackets represent the system used by the Roman Catholic church and The Anglican Church of Canada, based upon the historic Roman lectionary. The Proper numbers without brackets represent the system of numbering used by the rest of the participating church bodies that have adopted the Revised Common Lectionary. The differing numbers do not indicate differing readings, but rather indicate traditional practices. The Consultation on Common Texts (the interfaith organizational body responsible for the current Revised Common Lectionary) adopted the practice of the Episcopal Church of replacing the “Sundays after Pentecost” with “Propers” keyed to the civil calendar (e.g., instead of the “Ninth Sunday after Pentecost,” you now have “Proper 11, to be used on the Sunday between July 17 and 23 inclusive.”) [from Alexander Ring, “The Path of Understanding: The Development of Lectionaries and Their Use in the Lutheran Church.” Evangelical Lutheran Synod General Pastoral C