Celtic + Byzantine Music…linkage?

Orthodox Christian monks and nuns evangelized the Celtic peoples. Is it just a coincidence, then, that musical turns in traditional Celtic music seem to have a similarity with those of Byzantine chant?
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Performance by Danu:
Master McGrath (from Album "Ten Thousand Miles")

[Basilbrou]

It's from the ancient greeks that passed to the romans/byzantines and then from them to the middle east and Europe. The Europeans stopped using them when heterophonic tonal music was created, in the east and greece it's still used

[adnyc]

Ireland was always under the jurisdiction of the bishop of Rome, but it was not originally Orthodox since Roman Catholicism, Oriental Orthodoxy and Eastern Orthodoxy did not become distinct branches of Christianity until the respective schisms. There were disagreements between Celtic Christians and Rome, but that shouldn’t be interpreted to mean they were somehow part of what would later become Eastern Orthodoxy.

As for the music, there is no known link between traditional Irish singing styles and Byzantine chant. Most medieval European music included microtonal inflections, melismas and ornamentation, which in many cases actually came from Roman influence. But those conventions faded out in most of Europe, with Ireland being one of the places where it didn’t.

[pietroconstantino]

Id say it's more likely Roman influence. You don't see the same in central Europe because of Germanic influence. But the Scots got the bagpipe from Roman influence and I'd say what your hearing is Roman influence, which makes since considering the Byzantine were Romans.

[llllllllllll]

Belisarius and Belle of Belfast City… same track music.