What's the difference between canticle and cantile?

Canticle

Definition:

(n.) A song; esp. a little song or hymn.
(n.) The Song of Songs or Song of Solomon, one of the books of the Old Testament.
(n.) A canto or division of a poem
(n.) A psalm, hymn, or passage from the Bible, arranged for chanting in church service.

Example Sentences:

(1) In the white-stuccoed nave of St Martin-In-The-Fields, cloistered from the late afternoon traffic of Trafalgar Square, a choir is performing one of the canticles of Evensong.
(2) May our canteens be festooned with canticles, our shoeshops filled with catalectic feet.
(3) While the details of our situation will remain appropriately private, I am seeking to be as open and honest in the midst of this decision as I have been in other dramatic moments of my life – coming out in 1986, falling in love, and accepting the challenge of becoming Christendom’s first openly gay priest to be elected a bishop in the historic succession of bishops stretching back to the apostles.” He added: “It is at least a small comfort to me, as a gay rights and marriage equality advocate, to know that like any marriage, gay and lesbian couples are subject to the same complications and hardships that afflict marriages between heterosexual couples.” Jim Naughton, an advocate for gay rights and co-founder of Canticle Communications, told the Associated Press the "strength, grace and generosity" shown by Robinson and Andrew would “always be a source of inspiration" for Episcopalians and Anglicans seeking acceptance of gay relationships.

Definition:

Example Sentences:

(1) Hemorrhagic toxin was isolated from Agkistrodon bilineatus (Common cantil) venom using a three-step purification procedure to obtain 32.8 mg of purified hemorrhagic toxin from 700 mg of crude venom.