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I have an internally published ArcGIS webmap. The Rest's Level Of Detail (LOD) reports a different number to the WMTS capabilities XML. I checked out a few public services, and found the exact same thing..

Why are these numbers different. What am I missing?

REST MapServer: USGS Topo MapServer

WMTS XML: USGS Topo MapServer WMTS XML

ffExample of REST LOD & WMTS CAPABILITIES

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It is the DPI. Notice it is reported as 96 for the REST service but it is assumed to be 90.7 for the WMTS. See related question Mathematics behind converting scale to resolution?.

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