When I browsed L, I accidentally stumbled upon this passage:
"If Hobbiton and Rivendell are taken (as intended) to be at about the latitude of Oxford, then Minas Tirith, 600 miles south, is at about the latitude of Florence. The Mouths of Anduin and the ancient city of Pelargir are at about the latitude of ancient Troy." (L294)
This sounded a bit unlikely to me, and a check in an atlas quickly showed that this statement was extremely vague, to say the least: actually, the North-South distance of the latitudes of Florence and Troy is twice as large as that of Minas Tirith and Pelargir (the scale of the large LR foldout map being verified against that of TR). However, if the latitude of Hobbiton was accepted to be correct, this provoked the idea to apply a meridional grid on the Middle-Earth map, allowing to project it on a globe (which Karen Fonstad thought impossible, cf. TAMe).
Note:
The following discussion is based on CT's original maps, printed before the publication of UT.
To apply terrestrial latitudes and longitudes, we first have to examine what kind of projection the LR map is based on. A quick glance reveals that it displays both a mile bar and a compass rose. That is something which is not possible in projecting part of a globe on a sheet of paper: However you try, either your scales or your directions are getting distorted!
But compare with JRRT's original maps in RS and TR: here, a scale is depicted but the compass rose is absent. We may reasonably assume that this latter was an error by Christopher Tolkien (not his only one) in redrawing the map. Instead of this, on both HoMe maps is superimposed a remarkable rectangular grid with the side length of each square = 100 miles (on CT's LR map, each square translates exactly into 2 cm).
This is now a projection which allows its transformation into standard latitudes (parallels) and longitudes (meridians). We only have to make a few assumptions to translate it properly:
This evidence allow to conclude on the projection used in the HoMe maps. If we now want to apply a grid of parallels and meridians, the latitudes run exactly parallel to the horizontal grid lines while the longitudes increasingly converge towards the top edge. This means that the LR map preserves distances but not areas and directions: angles get increasingly distorted towards the upper left and upper right corners of the sheet. Only on the central meridian, the direction South-North is truely vertically projected; on any other place of the map, it follows a paraboloid trajectory which meets the central meridian at the (north) pole, some place beyond the upper edge of the charted map.
Now, if you want to calculate the other latitudes and longitudes, the basic equations are simple:
The scale of the LR map is 1 cm = 50 miles => 1:8 000 000. On earth, two degrees of latitude are about 111 km distant from each other. About the same distance are too meridians separated from each other at the equator while converging and meeting at the poles.
At the known latitude L, the distance from one crosspoint with a meridian to the next (in steps of one degree) is:
D = 111 km * cos L (L in deg., D in km) |
If you want to know how much this is on the LR map in cm, remember that
2 cm = 100 miles, so that 1.25 cm = 100 km. Thus:
D1 = D * 1.25 cm / 100 km |
D1 = approx. 1.4 cm * cos L (L in deg, D1 in km) |
This way, you can for each given latitude start at the central meridian and consecutively locate on the LR map its crosspoints with any longitude.
Accepting the latitude of Hobbiton as given in L294, we find Oxford at roughly 51 deg. 45 min N. Applying this value to the LR map allows us to draw the Northern latitude parallels. As mentioned before, these are projected as horizontal parallels. The following list will give rough locations of the lines 35, 40... deg N on the LR map (modern world equivalents in brackets).
Lat. |
Middle-earth |
Real World |
Note |
35 |
The Western exit of the Havens of Umbar |
Sahara-Atlas, Crete, Cyprus |
The City of the Corsairs is found at about the latitude of Tanger. |
40 |
Southern Tolfalas, the W-E range of the Ephel Duath |
Madrid, Sardinia, Gulf of Tarent, Troy |
Contrary to JRRT's estimation, Pelargir is found at about 41 degrees 10 minutes, placing it on the latitude of Istanbul, rather than Troy. |
45 |
Tol Brandir, Dead Marshes, Morannon |
Bordeaux, the plain of the river Po, Crimea |
Minas Tirith thus is located almost exactly at 43 degrees, but this is not the latitude of Florence which is found at 43 degrees 50 minutes, at a latitude passing over the Northern tip of Caer Andros. |
50 |
Eregion, the East Bight, the lower W-E flow of the river Carnen |
Lizard Point/Cornwall, Amiens, Mainz, central Czechia |
In Beleriand this latitude would continue via Ossiriand between Duilwen and Adurant to the sand bank in the Bay of Balar; but in the First Age Earth was still flat and a different coordinate grid thus would have to be applied. |
55 |
Mount Gundabad, Ered Mithrin, Withered Heath |
Londonderry, Fuenen/Denmark, the isle of Bornholm, Lithuania |
On the RS map it corresponds to the obscure line bisecting squares H and I. In Beleriand, hypothetically Lake Mithrim, Barad Eithel, Haudh-en-Ndengin. |
Having determined the approximate latitudes, we can calculate the according meridians and project them on the LR map. As mentioned before, the central meridian seems to cross Rivendell (where likely the original of the LR map is assumed to have originated). We may arbitrarily apply to it the value of 0 degrees; but perhaps Tolkien envisioned another "Meridian of Greenwich" in Middle-earth, separating the West from the East:
Long. |
Locations in Middle-earth |
35 W |
The island of Himling. |
30 W |
Northern Ered Luin, Harlindon, missing Harlond to the West. |
25 W |
Forochel, via Hills of Evendim and the Far Downs, to the Mouths of Baranduin. |
20 W |
North Downs, Midgewater Marshes, Enedwaith, the mountains of Andrast. |
15 W |
Western Ettenmoors, Eregion, Orthanc (!), Anfalas. |
10 W |
Missing the Carrock a little East, the Field of Celebrant, the tip of the Entwash delta, Harondor. |
5 W |
Passing the Mountains of Mirkwood East, Eastern edge of Udun. |
0 |
Carnen, Celduin, Nurn. |
5 E |
the shallows marked in the Sea of Rhun, passing the confines of Mordor in the East. |
* Note: A slightly different solution to this problem you can find on Alberto Monteiro's pages.