I think the standard term is Daidí, vocative a Dhaidí.

In Connemara Irish it varies from family to family and includes:

Deaide, vocative a Dheaide
Deaidín, vocative a Dheaidín

What forms are used in other dialects?

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Múinteoir Gaeilge - Irish Teacher
My "specialty" is Connemara Irish, particularly Cois Fhairrge dialect, but I can also speak Ulster and Munster Irish with native-level pronunciation.
Is fearr Gaeilge ḃriste ná Béarla cliste, cinnte, aċ i ḃfad níos fearr aríst í Gaeilge ḃinn ḃeo na nGaeltaċtaí.
Gaeilge Chonnacht (GC), go háraid Gaeilge Chois Fhairrge (GCF), Gaeilic Uladh (GU), Gaelainn na Mumhan (GM), agus Gaeilge an Chaighdeáin Oifigiúil (CO).

We also use 'Daid', 'a Dhaid' similar to 'Mam' agus 'a Mham' for Mamaí.

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Brendan, could you give pronunciation for Deaide, vocative a Dheaide. I've heard two pronunciations: "dah-jee" and "a yah-jee," and "daa-deh" (unsure sure of vocative for this). Is this another case where families may have differences in pronunciation? Both of the pronunciations above were from Connemara natives from the same area.

Thanks!

Yes, the slender d is a spectrum between a d sound and a j sound and how much it sounds like a j is regional even within the Connemara dialect (as well as being influenced now by non-native school and TV Irish). Benjamin noticed that it is more like a d in Cois Fhairrge but more like a j on the Aran Islands. I think it also becomes more like a j as you go north towards Mayo, but I am not sure. Certainly in Donegal Irish it has a definite j sound.

The broad d on the other hand is a spectrum between a d sound and a soft th as in "the".

The main thing to note is that if you use the slender d versions the vocative starts with a y sound /ɣ´/, and if you use the broad d versions the vocative starts with GH /ɣ/.

..Daidí DUH-dee /dad´i:/

..a Dhaidí uh GHUH-dee /ə ɣad´i:/

..Deaide DAD-yih /d´ad´ə/

..a Dheaide uh YAD-yih /ə ɣ´ad´ə/

..Deaidín DAD-een /d´æd´i:n´/

..a Dheaidín uh YAD-een /ə ɣ´æd´i:n/

..Daid DUDj /dad´/

..a Dhaid uh GHUDj /ə ɣad´/

..Deaid DADj /d´æd´/

..a Dheaid uh YADj /ə ɣ´æd´/

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Múinteoir Gaeilge - Irish Teacher
My "specialty" is Connemara Irish, particularly Cois Fhairrge dialect, but I can also speak Ulster and Munster Irish with native-level pronunciation.
Is fearr Gaeilge ḃriste ná Béarla cliste, cinnte, aċ i ḃfad níos fearr aríst í Gaeilge ḃinn ḃeo na nGaeltaċtaí.
Gaeilge Chonnacht (GC), go háraid Gaeilge Chois Fhairrge (GCF), Gaeilic Uladh (GU), Gaelainn na Mumhan (GM), agus Gaeilge an Chaighdeáin Oifigiúil (CO).

I know sometimes there can be a question mark over the paternity, but I think it is safe to say that you have covered all possible options there!

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Oh and I forgot to mention that a Dheaide sounds a lot like the Japanese おやじ OYAJI "old man".

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Múinteoir Gaeilge - Irish Teacher
My "specialty" is Connemara Irish, particularly Cois Fhairrge dialect, but I can also speak Ulster and Munster Irish with native-level pronunciation.
Is fearr Gaeilge ḃriste ná Béarla cliste, cinnte, aċ i ḃfad níos fearr aríst í Gaeilge ḃinn ḃeo na nGaeltaċtaí.
Gaeilge Chonnacht (GC), go háraid Gaeilge Chois Fhairrge (GCF), Gaeilic Uladh (GU), Gaelainn na Mumhan (GM), agus Gaeilge an Chaighdeáin Oifigiúil (CO).

Awesome, thanks!