Who teaches Arthrimancy and Ancient Runes?

[Isebas]

I am currently writing a new story and am trying to find out the names for the Professors of both Arthrimancy and Ancient Runes. I would appreciate it if anyone could help me. It's not a really big deal but I wanted to be able to get it right and not have someone grouch at me.

[Shadowbeast]

Vector, Septima
Arithmancy professor at Hogwarts (PA12, GF13, HBP24).
Professor Vector's first name appears on a list Jo created while planning Prisoner of Azkaban; however, her first name cannot be considered canon without further confirmation because other information on this page changed by the time the book was actually published
"Vector" = mathematics: "quantity having both a number value and a direction."


now the tricky part which is ancient runes
Babbling, Bathsheba (uncertain, *)
Ancient Runes
Hogwarts Professor for the Study of Ancient Runes according to an early planning draft for Prisoner of Azkaban available on JKR's website. However, this should not be considered strict canon because other information on this page changed by the time the book was actually published (JKR scrapbook).
'Babble' = (Eng.) foolish chatter, or the murmuring sound of flowing water. One of Rowling's onomatopoeic names.
'Bathsheba' = The biblical wife of David and mother of Solomon.

since it was never fully stated who tought the class alot of writers either create a teacher or use Sinistra, Aurora

Sinistra, Aurora
Professor of Astronomy at Hogwarts.
Professor Sinistra's first name 'Aurora' is given in an early planning draft for Prisoner of Azkaban available on JKR's website. However, HPL/fan fic writers cannot consider this canon because other information on this page changed by the time the book was actually published (JKR scrapbook).
The question of Sinistra's gender came up during the translation of OP into Portuguese. The translation team contacted the Lexicon for an answer to the question, but HPL couldn't answer for sure, since it never says one way or the other in the books. HPL suggested that they contact Rowling, which they did. Rowling's reps responded that Sinistra was in fact a woman. - ed.
Aurora was the Ancient Roman goddess of the dawn ('Eos' in Greek).
"sinistra" = Latin for "with the left hand." For Ancient Greeks and Romans the left side symbolized unfavorable omens and perverseness (Lewis & Short).
"Sinistra" = the name of a magnitude 3.5 star in the constellation Ophiuchus, the Serpent Handler (Fixed Stars).