It’s broad (non-palatalised), because the vowel after it, “a” is broad. The intervening “r” doesn’t matter. “gh” is just the voiced version of “ch”.
And you’re exactly right about the “d” in “caidil” being palatalised. So “kadjil” is a bit of an exaggeration - it’s actually “kad’il”; or as Dr Drake says in Scottish “kat’il”, where the ’ indicates palatalisation.
Your suggested pronunciation looks okay, but I think maybe it should be /is/ rather than /ish/ and maybe /fottal/ rather than /fatal/. /fok/ for “phoig” looks wrong; it would be /foge/ in Irish. I don’t know about the vowel sounds in “graidh”, “traith” and “baigh”. In Irish somewhere between /aw/ and /oy/.
Aside: Dia duit a Ghadaí - ní Gaeilgeoir mise ach tá beagán Gaeilge agamsa freisin.
The /k/ sound I’m going for is a soft, unaspirated one, which would sound very much like /g/, so I suspect we largely agree on that sound. I know is is /is/ in Irish, but I wasn’t sure about Scottish. Strictly speaking, it’s a slender “s”, which would be /sh/. That’s something we’ll have to figure out somewhere along the line.
I don’t think AO should ever be “oo,” but there’s a tremendous variety between dialects. IMO you’re better off with “ee” in ScGaelic, even in a broad context. “Is” is like Irish, spelled slender but really broad. I’d say “oss duh hyonn,” with h as in English “hue” in slender position. Same with cheol: “hyole.”
I’m going off the wikipedia article for vowel sounds; I’m not sure how accurate that is. Are you saying that the “ao” should be “ee”?
The “ch” sound I intended for chioll and cheol is the forward one (voiceless palatal fricative/German ichlaut), not the velar fricative. I’d use IPA to make my intentions a little clearer, but I don’t know how to code it.
*There are two other long vowels in Scottish Gaelic. The first is spelled ao and is pronounced like long ù but with the lips spread (i.e. not rounded).
…
Long ao
like <oo> in <cool> but with spread lips [ɯː]*
Great site by the way. That really clears a lot of things up. I’m going to go back through my transcription and see what changes I need to make. Thanks.