Maybe both forms of the Mass can be called "traditional" but only the Traditional Mass has traditional Latin Mass propers!
The father of the Just rejoiceth greatly, let Thy father and Thy mother be joyful, and let her rejoice who bore Thee. -- (Ps.88. 2, 3). How lovely are Thy tabernacles, O Lord of Hosts! my soul longeth and fainteth for the courts of the Lord. V.: Glory be to the Father . . . -- The father of the Just . .
COLLECT - O Lord Jesus Christ, who, being subject to Mary and Joseph, didst sanctify home life with unspeakable virtues: grant, that, by the aid of both, we may be taught by the example of Thy Holy Family, and attain to eternal fellowship with it: Who livest and reignest, with God the Father, in the unity of the Holy Ghost, God . . .
Colossians 3: 12-17
Brethren, Put ye on therefore, as the elect of God, holy and beloved, the bowels of mercy, benignity, humility, modesty, patience: bearing with one another and forgiving one another: even as the Lord hath forgiven you, so do you also. But above all these things have charity, which is the bond of perfection: and let the peace of Christ rejoice in your hearts, wherein also you are called in one body: and be ye thankful. Let the word of Christ dwell in you abundantly, in all wisdom, teaching and admonishing one another in psalms, hymns and spiritual canticles, singing in grace in your hearts to God. All whatsoever you do in word or in work, do all in the Name of the Lord Jesus Christ, giving thanks to God and the Father by Jesus Christ our Lord.
Psalms 26: 4
One thing I have asked of the Lord, this will I seek after: that I may dwell in the house of the Lord all the days of my life. V. (Ps. 88. 5). Blessed are they that dwell in Thy house, O Lord, they shall praise Thee for ever and ever.
ALLELUIA - ALLELUIA, alleluia. V. Blessed is the man that heareth Me and that watcheth daily at My gates, and waiteth at the post of My doors. Alleluia. V. Our life is hidden with Christ in God. Alleluia.
GOSPEL Luke 2: 42-52
When Jesus was twelve years old, they going up into Jerusalem according to the custom of the feast, and having fulfilled the days, when they returned, the Child Jesus remained in Jerusalem, and His parents knew it not. And thinking that He was in the company, they came a day's journey, and sought Him among their kinsfolk and acquaintences. And not finding Him, they returned into Jerusalem, seeking Him. And it came to pass that after three days they found Him in the Temple, sitting in the midst of the doctors, hearing them and asking them questions. And all that heard Him were astonished at His wisdom and His answers. And seeing Him they wondered. And His Mother said to Him: Son, why hast Thou done so to us? Behold Thy father and I have sought Thee sorrowing. And He said to them: how is it that you sought Me Did you not know that I must be about My Father's business? And they understood not the word that He spoke unto them. And he went down with them and come to Nazareth, and was subject to them. And His Mother kept all these words in her heart. And Jesus advanced in wisdom and age and grace with God and men.
The parents of Jesus carried Him to Jerusalem, to present Him to the Lord.
SECRET - We offer unto Thee, O Lord, this propitiatory Sacrifice, humbly entreating Thee: that the intercession of the Virgin Mother of God, with blessed Joseph, Thou wouldst firmly establish our families in Thy peace and grace. Through our Lord Jesus Christ, Thy Son, who liveth and reigneth with Thee in the unity of the Holy Ghost God, world without end. Amen.
PREFACE (Preface of the Epiphany) - It is truly meet and just, right and for our salvation, that we should at all times, and in all places, give thanks unto Thee, O holy Lord, Father almighty, everlasting God; for when Thine only-begotten Son was manifested in the substance of our mortal flesh, with the new light of His own Immortality He restored us. And therefore with Angels and Archangels, with Throne and Dominations, and with all the hosts of the heavenly army, we sing the hymn of Thy glory, evermore saying: Holy, Holy, Holy...
Jesus went down with them and came to Nazareth, and was subject to them.
POST COMMUNION - Make us, O Lord Jesus, whom Thou dost refresh with heavenly sacraments, ever to follow the example of Thy Holy Family: that in the hour of our death, the glorious Virgin Thy Mother with blessed Joseph may come to our aid, and we may be found worthy to be received by Thee into everlasting tabernacles. Who livest and reignest, with God the Father, in the unity of the Holy Ghost .