Yom Ze Leyisrael
יום זה לישראל
This pizmon sometimes appears with many more verses. This is a comparatively short version.
Melody 1: S&P
This is a festival Kaddish melody, from the Spanish and Portuguese Community of London, also traditionally used for this pizmon.
♫ Yom Zeh
Here's the same melody as sung in London S&P synagogues for Kaddish on special occasions.
♫ Yom Zeh
It seems likely that the melody is based on (or shares a common origin with) the Swiss song "Freut Euch des Lebens" composed by Hans Georg Nägeli in 1791, and sung here by Edith Prock:
This German melody (for Menucha Vesimcha, but sung here for Shir HaMaalot) is obviously from the same source:
♫ Yom Zeh