Time dilation (t') is an error and falls outside the time scale:

Authored by Soumendra Nath Thakur. 

  Author ORCID: 0000-0003-1871-7803

The scale of time is conventionally represented as 360 degrees, where each degree corresponds to a specific unit of time. This representation allows for the measurement and division of time intervals. If a duration exceeds the scale of 360 degrees on a clock dial, it means that it cannot be accommodated within the conventional representation of time on that particular dial. In other words, the dial is not designed to accurately measure or represent durations larger than the scale it provides. In such cases, using the scale of 360 degrees would result in an error in time, as the dial cannot accurately capture or display the complete duration but will introduce error. 

The expressions t = t' as in classical mechanics, and t < t' as in relativity, have different meanings when it comes to absolute time as represented by t, and relativistic time dilation represented by t', due to the introduction of fractional time parameter Δt, such that (t + Δt) = t' > 0, results in t' being outside the time scale of 360°. This suggests that t represents proper time within the time scale of 360°, while t' represents distorted time. The expressions t < t' pertain to relativistic time, where t is within the time scale of 360° only, while t' falls outside of this time scale.

Reference : Relativistic effects on phaseshift in frequencies invalidate time dilation II