Measurement Space
The space of a measurement device may be called “measurement space” or “property space”. There all other objects are specified relative to the measurement device, mostly in form of measured values of a characteristic property of that device.
At each point of this space the measuring instrument takes a specific form when interacting with the object to be measured; normally it displays a certain value.
By that value, by that form, this point of this space is defined. The entirety of all these points make up the space of that measuring instrument, the corresponding measurement- or property-space.
In this sense, our common three-dimensional space is a special measurement space. The associated measurement device is traditionally a measuring rod, a ruler or so.