The science of counting things is basically the discipline of turning problems into enumeration statements to find out if they can be solved this way.
Time to move on!. My success was due to several conditions. For instance: All my countings was concentrated on numbers no more than the day-count 365+1. No Haab times Haab. No Long Count. No Saturn. My nine proof all way through was: be alert about multipla of 37. On my long journey through the spiral, I never met it once. - Did you?