Well that's interesting. I've seen languages with lots of cases but not one with more than 'male' and 'female' grammatical genders.
There are some African languages with way more noun classes. I think Swahili has a ton of them.
(There’s lots of different languages like that.)[https://en.m.wikipedia.org/wiki/Noun_class#language_famalies] For example, Bantu languages like Swahili tend to have a lot of them (18 in the case of Swahili I think) and instead of conjugating verbs for person and number, like most European languages, they conjugate for the genders of the subject and object. Lots of Native American languages also have a difference between “animate” and “inanimate” nouns instead of masculine and feminine, although those languages typically have exceptions, such as “lightning” being animate but “berry” being inanimate.
Doh, yes, you're right. I often think of neuter as just ungendered like the tone in Mandarin that isn't one of the other four.