According to the documents Summorum Pontificum (2007) cand Universae Ecclesiae (2011), as well as “State of the Order” address of Master of the Order Carlos Azpiroz Costa, O.P., at the General Chapter of 2010, those celebrating the Dominican Rite Mass should do so “according to the Missal of 1962." In fact, there is no Dominican “Missal of 1962.” Rather, the Missal in use by the order in 1962 was that of 1933, with the changes made up to that date.
In 1960-1961, the Analecta Ordinis Fratrum Praedicatorum published directives modifying Missal. These volumes are hard to find and in Latin, so I have compiled a short summary of the changes needed when celebrating using the Missals of 1933 and 1965, since both are commonly used.
Changes to be made when using the 1933 Missal:
1. Use the 1965 Calendar (this can be downloaded on the left sidebar).
2. Reduce the number of collects at Mass following this format:
Class I Feasts: Only 1 Collect (except Dawn Mass of Christmas)
Class II Feasts: Only 1 collect, unless another Class II feast is overridden, then add a second collect for the overridden feast
Class III Feasts and ferials: Up to three collects: the principal collect; any second required collect and/or the collect of any overridden feast; additional collects ad libitum up to a total of no more than three.
3. Add the Ecce Agnus Dei and its response before the People's Communion.
4. On ferials: replace "Benedicamus Domino" with "Ite missa est."
5. Replace the entire Paschal Triduum Rite with that of 1965 Missal or the Holy Week book of 1959.
Changes to be made when using the 1965 Missal
1, Prepare chalice and say the Actiones nostras before the Prayers at Foot of the Altar.
2. Add missing head bows in Gloria.
3. Kneel, not bow, at the Incarnatus est in the Credo.
4. Recite the Secret Prayer quietly, but say "Per omnia saecula saeculorum" aloud to close it, before the Preface Dialogue.
5. Use the 1933 gestures at the "Per ipsum." The “Per ipsum” itself is said silently except for "Per omnia saecula saeculorum."
6. Recite the Libera nos silently, except for the closing "Per omnia saecula saeculorum."
7. After the Postcommunion follow this order: Dominus vobiscum; Ite missa est; Placeat, Blessing.
8. Restore the Last Gospel. If there is no altar card available, this Gospel may be found as that of the Day Mass of Christmas.
In both Missals:
1. The Communion Confiteor was suppressed in 1960, but a response of the Ecclesia Dei Commission on October 2, 2002, provides that it may be used if "it is the local custom."
2. Since they are not part of Mass, and have not been required since 1963, the Leonine Prayers are omitted. But nothing prevents them being said as a devotion, if that is the local custom.
3. It is permitted to add, as Class III feasts, all Dominican saints canonized since 1965 on their original days as blesseds, or, if beatified after 1965, on their current day. I have added all such celebrations in the calendar available on the left side bar