When creating services in ArcGIS for use in web maps it may be necessary to change the style dependent on the scale level. ArcGIS allows users to toggle layers and layer groups on and off based on scale. It also contains a preset list of scales that correspond to a zoom level in the tile mapping scheme used in web maps. The problem is that the scales listed in the scale menu are rounded to a whole number, but the scales used in the tiling scheme contain decimal values. As such, one cannot simply rely on the numbers in the scale list for setting the scale at which a layer should turn on or off. It is a bit tricky to locate those decimal values, but they do exist. When publishing a service, the more precise scale values are listed under Caching>Advanced Settings. This lists the scales for z0-z19 as well as the In Beyond and Out Beyond values for each zoom level. This gist here is just a copy of those values so you don’t have to go through all the dialog windows used for publishing a service.