The proper terms, per the Church, are “Ordinary Form” and “Extraordinary Form”
The rite largely the same as that used before 1969 is properly called the Extraordinary Form
Pope Benedict, in using these terms, was not giving an official name to either form of the Mass. It was merely a descriptive term.
It is not “the proper term”.
This Pope Bendedict’s original use of the term:
Art 1. The Roman Missal promulgated by Pope
Paul VI is the ordinary expression of the
lex orandi (rule of prayer) of the Catholic Church of the Latin rite. The Roman Missal promulgated by Saint Pius V and revised by Blessed
John XXIII is nonetheless to be considered an extraordinary expression of the same
lex orandi of the Church and duly honoured for its venerable and ancient usage. These two expressions of the Church’s
lex orandi will in no way lead to a division in the Church’s
lex credendi (rule of faith); for they are two usages of the one Roman rite.
It is therefore permitted to celebrate the Sacrifice of the Mass following the typical edition of the Roman Missal, which was promulgated by Blessed
John XXIII in 1962 and never abrogated, as an extraordinary form of the Church’s Liturgy. The conditions for the use of this Missal laid down by the previous documents
Quattuor Abhinc Annos and
Ecclesia Dei are now replaced as follows: