In many older Yeshivos some of the Nigunim during
Hakafos are Yiddish Nigunim (Gits Arein, Olam Habo etc.)
R .I.Z Meltzer Ztl.used to sing during the Hakafos
the song “Kometz Alef Oh Kometz Bais Bo- and the song
“Omar Abaya” . R.Isser Zalmen claimed these were the Nigunim
they sang in Volozhin Yeshiva during the Hakafos.
In some Ashkenaz Shuls they are Makpid not to sing any songs
from Pesukim . They sing only the Piyutim printed
in the Machzor and Nigunim without words.
It is very likely , that in the olden days they would not sing
Pesukim and therefore sang only Yiddish Nigunim etc.
Many are not aware there is an Issur to sing Pesukim.
They are not aware that the Poskim tried desperately
to justify why almost everybody sings Pesukim and are not
concerned with the Gemoro – התורה חוגרת שק- עשאוני
בניך כמין זמר .
R. Moishe Feinstein writes (Igros Moshe Y.D.2: 142) He doesn’t know of a
good reason to justify it.
R. Chaim Kanyevsky Shlita holds one may only sing Pesukim
If the intention is to praise Hashem. Singing for Simcha is
forbidden even for Choson/Kallah.
R.Y.S. Elyashuv zt”l is Matir if ones intention is to pronounce with
the Nigun the meaning of the words ,for instance מה אהבתי תורתך
then one is allowed to sing.(The music should match the words and
help in the Kavana).