Hallel is said on Rosh Hodesh, Hannukah and the Pilgrim Festivals (Pesah, Shavuot and Succot). On the latter two it is said in full, and the blessing "Ligmor et Hahallel" ("...to complete the Hallel") is said. On Rosh Hodesh, and the intermediate days of festivals, two sections, and the closing blessing, are omitted. The opening blessing is changed to "Likro et hahallel" ("...to read the Hallel"). In this respect the S&P custom is like the Ashkenazi custom, and differs from the custom of other Sephardim, who omit both opening and closing blessings whenever Hallel is not read in full.
This page describes the basic Hallel for Rosh Hodesh. On Yom Tov and Hanukah special tunes are used for some psalms that are just chanted on Rosh Hodesh.
♫ Opening blessing ("Ligmor") [DH] The same tune is used on Rosh Hodesh, but "Likro" is said.
♫ Ps. 113 [DH]
♫ Ps. 114 [DH]
- ♫ Ps. 115 (first half) [DH] (omitted on Rosh Hodesh)
♫ Ps. 115 (second half) [DH]
Ps 118 (Min Hametzar) - same chant as Ps. 113 et al.
Ps 118 (Odecha) - same tune as Ps. 118
Ps 118 (Ana) - same tune as Ps. 118
Ps 118 (Baruch Haba) - same chant as Ps. 113 et al.