hymn = "a song of praise"
1] to sing the praise of, sing hymns to
2] to sing a hymn, to sing
   2.a] singing of paschal hymns. These were Psalms 113 - 118 and 136, which the Jews called the "great Hallel"
derivation: from (459)
http://bible1.crosswalk.com/Lexicons/Greek/grk.cgi?number=5214&version=kjv

(5215)
1] a song in tithe, or praise of gods, heroes, conquerors
2] a sacred song, hymn
derivation: apparently from a simpler (obsolete) form of hudeo (to celebrate, probably akin to (103), cf (5667))
http://bible1.crosswalk.com/Lexicons/Greek/grk.cgi?number=5215&version=kjv

(103)
1] to the praise of anyone, to sing
derivation: a primary word
http://bible1.crosswalk.com/Lexicons/Greek/grk.cgi?number=103&version=kjv

(5667)
Note: Crosswalk appears to have followed an error by Sacred Name Bible at
http://www.sacrednamebible.com/kjvstrongs/STRHEB56.htm#S5667 
That is, the link from (5667) at
http://www.sacrednamebible.com/kjvstrongs/STRGRK52.htm#S5215
goes to
http://www.sacrednamebible.com/kjvstrongs/STRHEB56.htm#S5667
which is in the Hebrew section, not in the Greek section.
This situation appears to be an error in that
http://www.sacrednamebible.com/kjvstrongs/STRINDEX.htm
shows the greatest number in the Greek section of Strong's dictionary is 5624,
and Theophilos shows that the word "hymn" does not appear in the Old Testament.

Additional information:
"The Jews sang Psalm 113 at the annual Passover celebration of their Exodus from Egypt."
http://www.freedominchrist.net/BIBLICAL STUDIES/Old Testament/Psalms/Sermons--Psalms--The God Who Condecends--Psalm 113.htm

A link to each occurrence of this word in the homepage:
1] hymn