As a Myoseki `name` is basically defined as 'a name handed down successively,' the title of iemoto (head of a school) itself is not called Myoseki, unless the new iemoto inherits the predecessor's full name irrespective of whether or not the inheritor also assumes the title of the head family of the school (the practice of iemoto succession).
また名跡は基本的に「代々受継がれるひとつの名前」のことであるから、たとえば家元の地位そのもの、すなわち、家元相続を行っても新家元が先代家元のフルネームを継がない場合には、その名前は名跡とは呼ばない。