Which family tartan

[gilmore]

But not exclusively, under Scots law at least. I'm not certain what all the conditions are (except of course the approval of the Lyon King at Arms, which is necessary) but there are conditions under which both Arms and a Chiefship can pass down the distaff line. ...
.

True. Also quite a few, perhaps most, peerages in the peerage of Scotland are hereditable by women, unusual in European aristocracies.