What's the difference between archangelic and archangelical?

Archangelic

Definition:

(a.) Of or pertaining to archangels; of the nature of, or resembling, an archangel.

Example Sentences:

(1) Beautiful and ancient plants, such as spreading bellflower , could become extinct in some places through the escape of variegated yellow archangel from gardens.
(2) It is a problem brought from outside, from the EU," said Alexandre Galdava, an Orthodox priest at the Church of Archangel Michael in Tbilisi, who preaches that being gay is "a sexual choice based on debauchery".
(3) The Sun itself concluded: “We can’t just carry on with the status quo.” If the Archangel Gabriel came down from heaven and said decriminalising drugs would end war, banish poverty, reduce obesity and defeat child sex abuse, it would make no difference to a British cabinet.
(4) [Fuqua rolls up his sleeve to show a tattoo of the archangel Michael wielding his sword against the devil.]
(5) Lively accompaniment on the keyboard of the teeth To the soft refrains that Love sings in passionate hearts with Its archangel's voice to enchanting languidness!
(6) Archangel (£1.24) If you, like me, are a sucker for a decent dungeon-crawler, Archangel is well worth a look.
(7) Burial: Archangel As beautiful, moving and anthemic as dubstep, or indeed any genre of music, got in the noughties.
(8) Even back in the mid-60s, Walker wrote haunting songs such as Archangel, hinting at what was to come.
(9) To lead the Church of England, you should, ideally, combine the cunning of a Machiavelli with the majesty of the archangel Gabriel, but Welby has his advantages.He has advantages as an outsider.