Khalkha Mongolian is also written with the Mongol vertical alphabet.
From the en.wikipedia.org
Khalkha dialect is the standard written language of Mongolia.
From the en.wikipedia.org
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The Mongol people living in the central and eastern parts of Outer Mongolia
The language of the Khalkha that is the official language of the Mongolian People's Republic
The Khalkha (Mongolian: u0425u0430u043Bu0445; Khalkh, Halh) is the largest subgroup of Mongol people in Mongolia since the 15th century. The Khalkha, together with Chahars, Ordos and Tumed, were directly ruled by Borjigin khans until the 20th century; unlike the Oirats, who were ruled by Dzungar nobles, or the Khorchins, who were ruled by Qasar's descendants.