Personal ordinariate
If membership by reception of the sacraments of initiation within an ordinariate is open not only to the Catholics mentioned in the 2013 amendment but to others also who have no Anglican background - something on which no express statement has been issued - anyone who has not yet received all three sacraments of initiation may join. This includes non-Christians, those who, in the view of the Catholic Church, do not have valid baptism (such as Mormons), and those who, again in the view of the Catholic Church, have valid baptism but not valid confirmation or Eucharist. Protestants in general are seen as lacking valid confirmation, but the Eastern churches and some Western ones, such as some Old Catholic churches and the Polish National Catholic Church, are recognized as having valid sacraments.
Ecumenism
One problem with the larger numbers is that single denominations can be counted multiple times. For example, the Catholic Church is a single church, or communion, comprising 24 distinct self-governing particular churches in full communion with the bishop of Rome (the largest being the Latin Church, commonly called "Roman Catholic"). Further, the Catholic Church presence in each country is counted as a different denomination—though this is in no way an ecclesiologically accurate definition. This can result in the one Catholic Church being counted as 242 distinct denominations, as in the "World Christian Encyclopedia".