Convert coordinates from MGI (EPSG:4312) to ETRS89 (EPSG:4258) — official EPSG transformation parameters, accuracy and area of use, with a free in-browser converter.
The EPSG Geodetic Parameter Dataset defines 4 transformations between MGI (EPSG:4312) and ETRS89 (EPSG:4258). Each applies to a specific area — pick the one whose area of use covers your data.
Grid file: AT_GIS_GRID_2021_09_28.gsb
Replaces GIS-Grid (2010) (CT 5891). Not to be used for cadastral purposes because it does not comply with the rules for control network tie-in as per Paragraph 3 of the Land Survey Regulations (Vermessungsverordnung) 2010.
Grid file: AT_GIS_GRID.gsb
Not to be used for cadastral purposes because it does not comply with the rules for control network tie-in as per Paragraph 3 of the Land Survey Regulations (Vermessungsverordnung) 2010. Replaced by GIS-Grid 2021 (MGI to ETRS89 (8), code 9910).
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 601.705 | metre |
| Y-axis translation(ty) | 84.263 | metre |
| Z-axis translation(tz) | 485.227 | metre |
| X-axis rotation(rx) | -4.7354 | arc-second |
| Y-axis rotation(ry) | -1.3145 | arc-second |
| Z-axis rotation(rz) | -5.393 | arc-second |
| Scale difference(ds) | -2.3887 | parts per million |
Parameter values from MGI to WGS 84 (8) (tfm code 1194). Assumes ETRS89 and WGS 84 can be considered the same to within the accuracy of the transformation. Information source gives scale as -2.388739 ppm.
| Parameter | Value | Unit |
|---|---|---|
| X-axis translation(tx) | 577.326 | metre |
| Y-axis translation(ty) | 90.129 | metre |
| Z-axis translation(tz) | 463.919 | metre |
| X-axis rotation(rx) | 5.137 | arc-second |
| Y-axis rotation(ry) | 1.474 | arc-second |
| Z-axis rotation(rz) | 5.297 | arc-second |
| Scale difference(ds) | 2.4232 | parts per million |
Same transformation parameters used for MGI to WGS 84 (3) (code 1618). Precision of parameter values in this record were increased effective 16-Dec-2006 (db v6.12): see change record 2006.971.
The same transformation with common GIS tools and libraries:
from pyproj import Transformer
transformer = Transformer.from_crs("EPSG:4312", "EPSG:4258", always_xy=True)
x, y = transformer.transform(-73.9857, 40.7484)
print(x, y)geographic system using latitude and longitude on an ellipsoid · Area of use: Austria
+proj=longlat +ellps=bessel +towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232 +no_defs +type=crsMore about EPSG:4312 →
geographic system using latitude and longitude on an ellipsoid · Area of use: Europe - ETRF by country
+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs +type=crsMore about EPSG:4258 →