It is "Umi Yukaba" (海行かば), a piece of music that was composed in 1937 by Kiyoshi Nobutoki, based upon an 8th Century poem. Popular with the military, especially the Navy, you can see why it would have been used to play for Yamamoto's arrival and would have been appreciated. Interestingly, it is so popular that it is regarded as Japan's second National anthem:
https://skdesu.com/en/kimigayo-national-anthem-japanese/
UMIYUKABA - SECOND NATIONAL ANTHEM
After Japan surrendered in 1945, “Umi Yukaba” and other gunka (military music) were banned.
However, the ban by the Occupying Nation (USA) was lifted and the song is now considered acceptable enough to be played publicly by the Japan Maritime Self-Defense Force, considered the second National Anthem...
https://en.wikipedia.org/wiki/Umi_Yukaba
from wiki:
"Umi Yukaba" (海行かば) is a Japanese song whose lyrics are based on a chōka poem by Ōtomo no Yakamochi in the Man'yōshū (poem 4094), an eighth century anthology of Japanese poetry, set to music by Kiyoshi Nobutoki.
"Umi Yukaba" later became popular among the military, especially with the Imperial Japanese Navy. As set to music in 1937 by Kiyoshi Nobutoki (信時 潔, Nobutoki Kiyoshi) it became popular during and also after World War II.
"Umi Yukaba" is featured in the 1970 film, Tora! Tora! Tora!.
https://www.imdb.com/title/tt0066473/soundtrack/
Umi Yukaba
Music by Kiyoshi Nobutoki
Played by Japanese band on IJN warship
(Region restricted) clip on YT:
Tora! Tora! Tora! : Yamamoto Isoroku takes office as new commander of the Combined Fleet