Orbeat

Summary

Orbeat is an octal-based cryptic timestamping system. It gets its name from a combination of octal, orbit, and beat. This naming reflects the system's structure, which utilizes an octal (base-8) representation to measure time in a continuous, orbit-like cycle based on a rational underlying calendar foundation.

Background

Loosely inspired by Swatch Internet Time (.beat time), a decimal time system introduced in 1998 used on ICQ and in the game Phantasy Star Online to facilitate cross-continent gaming, and batch codes used in retail and manufacturing industries for date codes and competitive intelligence. The underlying system draws from proven historical precedents like the Roman 8-day nundinal market cycle and astronomical precision.

Motivation

I created this project out of intellectual curiosity and as a practical tool. It was a stimulating exercise that allowed me to combine various concepts across multiple disciplines. I needed an efficient and cryptic timestamping method, like batch codes, to manage public-facing personal documents. I sought to devise an innovative way to balance precision with obscurity by crafting a compact yet noteworthy timestamp code based on rational principles, which would be meaningful to me while remaining ambiguous for others.

Design Decisions

My design decisions include:

• Nundinal Cycle: The proven Roman 8-day week structure is a practical foundation for the calendar's rhythm
• Historical Certainty: The epoch is an indisputable historical anchor point to guarantee absolute certainty
• Scientific Precision: The epoch time is fixed with scientific precision for an unambiguous temporal reference
• Astronomical Accuracy: The Mean Tropical Year of ~365.2422 days prevents seasonal drift and ensures ~200 year accuracy
• Octal Encoding: Dates use octal encoding for mathematical harmony and to require explanation to decode
• Cryptic Output: The output is made cryptic via reversal and truncation to 8 characters for a compact code
• Spring Equinox: The years align with spring equinox for practical synchronization for the foreseeable future
• Generational Stability: Pattern runs are ~27 years long providing consistent calendar behavior
• Week Zero: The first week hides in short years to maintain year-end alignment

Format

Reversed: digit_of_year week_of_year day_of_week fraction_of_day

A concatenated string consisting of:

• Years since Epoch formatted in octal
• Weeks within the year formatted in octal (2 digits)
• Days within the 8-day week formatted in octal
• Fractional day component formatted in octal (4 digits)
• The concatenated string is then reversed and truncated to 8 characters