Do ing some research I came across this article:http://www.analogion.com/CathedralRite.html
The Romana Capella with Bishop Kaliistos presiding actually served the Vespers in the Byzantine Cathedral Rite. An interesting note is that contrary to what is usually stated the Cathedral Rite's music is actually simpler than the monastic. Below is the outline.
VESPERS (LYCHNIKON) ACCORDING TO THE RITE OF THE GREAT CHURCH FOR THE EVE OF
THE FATHERS OF THE 1ST ECUMENICAL COUNCIL AT NICAEA
[Procession of the Hierarch from his residence to his throne by the
Beautiful Doors (at the West of the nave) with acclamations]
Blessing: Blessed is the Kingdom...
Litany of Peace
Prayer of the First Antiphon
First Antiphon (Ps. 85 with refrain 'Glory to You, O God))
Prayer of the Final Antiphon
Final Antiphon (Ps. 67) with refrain 'Alleluia'
Ps. 140 with Refrain (Kekragarion) 'We glorify your saving resurrection,
Lover of humankind'.
Entrance of the Hierarch into the Sanctuary
(conclusion of Ps. 140)
Prokeimenon: (The Lord is King)
The Three "Little" Antiphons:
1. Little Litany/Prayer/Ps. 114 with refrain 'At the prayers of the Motherof God...
2. Little Litany/Prayer/Ps. 115 with refrain 'O Son of God, risen from the dead...'
3. Little Litany/Prayer/Ps. 116 with the Trisagion as refrain
Litany of the Catechumens w/ Prayer
2 Little litanies with Prayers of the Faithful
Litany with Aiteseis (Let us complete our supplication)
Prayer of Dismissal
Descent to the Lower Throne at the Western (Beautiful) Doors of the Nave
Festal OT Readings from the Ambo
Festal Troparion with Psalm Verses
Prayer of Inclination
Dismissal (Deacon: Let us depart in peace!)
[Procession of the Hierarch from his throne by the Beautiful Doors (at the
West) to his residence with acclamations]