Nun singet und seid froh,jauchzt all und saget so:Unsers Herzens Wonneliegt in der Krippen bloß,und leucht doch als die Sonnein seiner Mutters Schoß;du bist A und O. :,:Sohn Gottes in der Höh,nach dir ist mir so weh!Tröste mein Gemüthe,o Kindlein zart und rein,und durch deine Güte,o liebstes Jesulein,zeuch mich hin nach dir. :,:Groß ist des Vaters Huld,der Sohn trägt unsre Schuld;da wir ganz verdorbendurch Sünd und Eitelkeit,hat er uns erworbendie ewge Himmelsfreud.Eia, wärn wir da! :,:Wo ist der Freudenort?Sonst nirgend mehr denn dort,da dieEngel singendem lieben Jesuleinund die Psalmen klingenim Himmel hell und rein.Eia, wärn wir da! :,:In der Mischform - Latein u. Deutsch - um 1350; verbreitet durch Petrus Dresdensis um 1410; verdeutscht im Hannoverschen Gesangb., 1646.
My prose translation
Now sing and be happy,Rejoice all and say so:The delight of our heartLies naked in the manger,And yet shines like the sunIn the bosom of His mother;You are A[lpha] and O[mega]. :,:Son of God in the highest,For You is such pain for my sake!Comfort my soul,O gentle and pure Child,And through Your goodness,O dearest Jesus,Draw me to You. :,:Great is the Father's grace,The Son carries our guilt;Because we were completely corruptedThrough sin and vanity,He has purchased for usThe eternal joy of heaven.Oh, that we were there! :,:Where is the place of peace?Nowhere else more than thereWhere the angels singTo the dear little JesusAnd the Psalms soundBright and pure in Heaven.Oh, that we were there! :,:In the mixed form - Latin and German - around 1350; expanded by Petrus of Dresden around 1410; translated into German in the Hannover Gesangbuch, 1646.
The title "Alpha and Omega" comes from Revelation 21:6, 22:13.
I've been puzzled by the symbol :,: before, but here it's clearly an indication to repeat the line (otherwise the tune ["In dulci jubilo"] is longer than the text).
I translated the line "nach dir ist mir so weh!" as "For You is such pain for my sake!," but I'm not entirely sure about this. There are two dative pronouns there, which is a bit confusing.
This hymn appears as "Now Sing We, Now Rejoice" in The Lutheran Hymnal (#92), Lutheran Worship (#47), and The Lutheran Service Book (#386). In all of these, and as the Gesangbuch notes, the text is sung to the melody "In dulci jubilo." Here's the TLH arrangement:
Here's the arrangement from Telemann's Fast allgemeines Evangelisch-Musicalisches Lieder-Buch: