How splendid it is that the Extraordinary Form preserves for us this Pentecost Octave which stretches, like the Easter Octave, to Saturday next. But there is, I fear, something missing in what we have; an omission which undermines the liturgical integrity of Pentecost.
Your Roman Missal, if it preserves the Roman Rite as it was at the beginning of the Pontificate of Pius XII, will show you a Pentecost which begins with a Baptismal Vigil: just as does Easter. The rites are scaled down for Pentecost; there are only six lections: but it is clear that Pentecost is a secondary Baptismal Season. Practically, it was a useful back-up to Easter for those who, for whatever reason, had not received Christian Initation at Easter. But in any case, the association is theologically appropriate, since the Pentecostal Anointing of the Spirit is central to the full rite of Initiation. Dom Gregory 'Patrimony' Dix was, I am convinced, absolutely right to insist that Consignation/Confirmation is not a secondary adjunct to "Water Baptism", but one of the primary elements in Christian Initiation.
(I devoutly trust, by the way, that the Latin Church will not follow the boring old Anglican mistake of regarding Confirmation as an adolescent Rite of Passage, a sort of Christian Bar-Mitzvah; a misunderstanding as pastorally disastrous as it is theologically flawed. It most certainly is nothing whatsoever of the sort.)
The point of the Pentecost Octave is quite simply that it follows on logically from the Baptismal Vigil Liturgy. It is a week in which (as after Easter) the Illuminati wear their Whites (a meaning still, probably, alluded to in the English name Whitsunday). The Eucharistic Celebrant continues through the week to use the form of the Hanc igitur which is said for the newly initiated. On Saturday, the Neonati returned their Whites to the Pontiff; the statio was ad S Petrum in Vaticano.
It is best to have a whole cake. If one cannot have the whole thing, should one wish for a half a cake, or prefer, in austere liturgical purity, to have no cake at all? I have erudite friends who differ from my judgement; but, frankly, I am unashamedly a half-a-cake man. The abolition of the the Pentecost Baptismal Vigil does indeed do its best to make an illogical hash of Pentecost and its Octave; we really do have to admit this. But the Octave, and the proper Hanc igitur, constitute a foot in the door for a restoration of the full, integral, Classical, Roman Pentecostal celebration.
(1) The Vigil disappeared under Pius XII; we should never forget that the disintegration of the Classical Roman Rite has Pius XII for its godfather. The 'Council' and its aftermath merely formed a logical progression of what Pius XII and Mgr Bugnini and others had already enthusiastically set rolling in the 1950s.
(2) If one wished to restore the Vigil while remaing strictly legal in terms of the 1962 books, one could, surely, do the section preceding the Mass as a technically unofficial service of devotion; and then, having returned to Sacristy to change into red vestments, set out afresh from the Sacristy to begin the rubrically provided Eucharist with the Praeparatio and the prescribed Introit.
(3) The problem of administering Confirmation to adolescents, familiar to all Anglican parish clergy, is summed up in the old Anglican joke about one Churchwarden advising another about how to get rid of the bats in his belfry despite the fact that they were a protected species. "We just got the Bishop to climb up the ladder to the bell-chamber and clamber round the bells and confirm every single bat. We've never seen them in church since".