"Month of June" is also accepted, mm? ... Seeing as this is following the forms of 'Mi na Nollag' ie "month of the Christmas' for December, and 'Mi na Samhna' ie "month of the Halloween" for November, is it safe to guess that 'Mí an Mheithimh' might be interpreted as "month of the midsummer"?
teanglann.ie has been super helpful for me. If you can't listen for any reason, two of three were vehev. Couldn't really hear the Ulster pronunciation as I'm in a loud-ish environment.
Genitive - "the month OF Christmas/December". Feminine genitive nouns use na as the singular definite article. Nollaig is a feminine noun, so mí na nollag. Meitheamh is a masculine noun, so mí an mheithimh.
Do yourself a favour and only complete one or two crowns for each skill before you move on to the next, so that you can complete the tree, and build up a broader picture, rather than drilling all the way through 5 crowns per skill and getting frustrated because you can't figure out what's happening. Once you have completed the tree at one or two crowns per skill, you can go back and add more crowns to your skills.
"month the of June"? Also, "of" is already in Mheithimh. What does "an" mean in this phrase? "of"? then you have two "of"s. "the"? then you have two "the"s. and you have "an mhí Mheithimn"= one "of" and one "the". But, using a word for word translation, "an mhí Mheithimh" for "the month of June" seems to be incorrect Irish word order. Where "month the of June" is correct.
So Meitheamh versus Mí an Mheithimh -- is the second one the genitive form? Just wanting to understand the difference in spelling ... I've spent a long time trying to understand when the genitive case is used, and it's still foggy in my brain, but if I can see a pattern in examples it helps.
The basic rule is that when you have two nouns next to one another (definite or indefinite nouns), the 2nd one will be in the genitive. mí is a noun, and so are meitheamh and aibreán.
Yes, there is more to it than that, but that's your starting point, and the basis of the pattern that you're looking for.