handwritten typeface / name of a typeface in calligraphy

Solution 1:

Hand, script, or alphabet

This blog post is entitled Western calligraphy and just literally says A style of writing is described as a script, hand or alphabet. The Wikipedia article on Western calligraphy gives the following two as references for the same claim, but I don't have access to them: M. Fraser and W. Kwiatowski, Ink and Gold: Islamic Calligraphy (2006) and E. Johnston, Writing, Illuminating & Lettering (1906, Dover ed. 1995).

On the other hand, this source gives examples and uses the names 'alphabets', 'scripts', and 'hands' (skeleton hand, foundational hand, unical hand, blackletter hand, …).

Here are the Wikipedia articles on various hands: secretary hand, book hand, Chancery hand, Carolingian minuscule (which is referred to as script in the text).