I am very familiar with a particular Ashkenazi yeshivish tune for Talmud learning. This is well-described in the linked question as:
[T]he kind of singing rhythm that people use when contrasting two different points. Usually it starts on a high note and continues monotonically until the end of the sentence, and then dips slightly. Then, the same thing happens in the second sentence, but with a bigger dip at the end. Usually the first word is "if" and is emphasized heavily. This tune is also often accompanied by a hand gesture where the speaker makes a dipping motion with his thumb.
"IF we're holding with some random position in this debate, then we have a CONsequence. BUT IIIIIFFF we hold this other position, then the consequence is dif-erent."
One answer there says that the concept of a tune for Mishnah study is mentioned in the Talmud, so it predates Ashkenazim. On further research, it seems that there was once an actual trope system used for the Mishnah.1
Is the same tune used in traditional non-Ashkenazi
yeshivahs yeshivot? If not, what tune(s) do Sephardim use? What tune(s) do Mizrachim use? Is there another Ashkenazic tune tradition?
1 Not sure how applicable this ogg file of "Amar Rabbi Elazar" is, but it exists.