The geography shown on this map comes from a sketch map identified as 'Map V' in volume IV of The History of Middle-earth. This is a rough map from early in the development of Tolkien's work, but it does at least give us an impression of the arrangement of mountain ranges in this part of the world. Unfortunately, Hyarmentir is not specifically marked on that map, so identifying its exact location is problematic.
Our only clues come from the text of The Silmarillion, which states that it lay far to the south of Taniquetil, and that, from its summit, the city of Valmar lay northward, while the woods of Oromë and the fields beyond lay to the west. When Melkor set out from its peak into Valinor he '...leapt swiftly down the long western slopes' (Quenta Silmarillion 8, Of the Darkening of Valinor). In combination, these references imply that Hyarmentir must have stood at a point eastward of the most southerly parts of Valinor.
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