orbeat/index.html at master · pbierkortte/orbeat · GitHub

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="description" content="Orbeat - An innovative octal-based cryptic timestamping system inspired by astronomical cycles. Convert current time to 8-character cryptic codes based on Roman nundinal cycles and spring equinox foundation.">
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<title>Orbeat</title>
</head>
<body>
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<div class="container">
  <h1>Orbeat</h1>
  <div class="time-display">
    <div id="local-time"></div>
  </div>
  <div class="copyable" id="octal-time" onclick="copyToClipboard()">Click to copy Orbeat</div>
  <button id="action-button">Refresh Time</button>
  <div class="documentation">
    <h2>Summary</h2>
    <p>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.</p>

    <h2>Background</h2>
    <p>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.</p>

    <h2>Motivation</h2>
    <p>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.</p>

    <h2>Design Decisions</h2>
    <p>My design decisions include:</p>
    <ul>
      <li>Nundinal Cycle: The proven <strong>Roman 8-day</strong> week structure is a practical foundation for the calendar's rhythm</li>
      <li>Historical Certainty: The epoch is an indisputable <strong>historical anchor</strong> point to guarantee absolute certainty</li>
      <li>Scientific Precision: The epoch time is fixed with <strong>scientific precision</strong> for an unambiguous temporal reference</li>
      <li>Astronomical Accuracy: The <strong>Mean Tropical Year</strong> of ~365.2422 days prevents seasonal drift and ensures ~200 year accuracy</li>
      <li>Octal Encoding: Dates use <strong>octal encoding</strong> for mathematical harmony and to require explanation to decode</li>
      <li>Cryptic Output: The output is made cryptic via <strong>reversal and truncation</strong> to 8 characters for a compact code</li>
      <li>Spring Equinox: The years <strong>align with spring equinox</strong> for practical synchronization for the foreseeable future</li>
      <li>Generational Stability: Pattern runs are <strong>~27 years long</strong> providing consistent calendar behavior</li>
      <li>Week Zero: The first week <strong>hides</strong> in short years to maintain year-end alignment</li>
    </ul>

    <h2>Format</h2>
    <p><strong>Reversed:</strong>
      <code>digit_of_year</code>
      <code>week_of_year</code>
      <code>day_of_week</code>
      <code>fraction_of_day</code>
    </p>

    <p>A concatenated string consisting of:</p>
    <ul>
      <li>Years since Epoch formatted in octal</li>
      <li>Weeks within the year formatted in octal (2 digits)</li>
      <li>Days within the 8-day week formatted in octal</li>
      <li>Fractional day component formatted in octal (4 digits)</li>
      <li>The concatenated string is then reversed and truncated to 8 characters</li>
    </ul>
  </div>
<div class="footer-made-with">Made with ✨ <a href="https://github.com/pbierkortte/orbeat">source</a></div>
<div class="footer-copyright">© <span id="currentYear"></span> Pat Bierkortte. All rights reserved.</div>
</div>
<script>
const TROPICAL_YEAR_DAYS = 365.24224853515625;
const DAY_NS = 86400000000000;
const WEEK_DAYS = 8.0;
const DATUM_TT = 1705433.878337198;
const UNIX_EPOCH_TT = 2440587.5;

function is_short_year(orbeat_year) {
    const next_equinox = DATUM_TT + ((orbeat_year + 1) * TROPICAL_YEAR_DAYS);
    const threshold = 4.0 - (368 - TROPICAL_YEAR_DAYS);
    const phase = (next_equinox - DATUM_TT) % WEEK_DAYS;
    const is_short = threshold <= phase && phase < 4.0;
    const year_size = is_short ? 360 : 368;
    const year_start_tt = next_equinox - phase - 360;

    return {is_short, year_start_tt, year_size};
}

function to_parts(jd_tt) {
    if (!jd_tt) {
        const unix_ms = Date.now();
        const unix_days = unix_ms / 86400000;
        jd_tt = UNIX_EPOCH_TT + unix_days;
    }

    const total_elapsed_days = jd_tt - DATUM_TT;
    let year = Math.floor(total_elapsed_days / TROPICAL_YEAR_DAYS);
    let {is_short, year_start_tt, year_size} = is_short_year(year);

    if (jd_tt < year_start_tt) {
        year -= 1;
        ({is_short, year_start_tt, year_size} = is_short_year(year));
    } else if (jd_tt >= is_short_year(year + 1).year_start_tt) {
        year += 1;
        ({is_short, year_start_tt, year_size} = is_short_year(year));
    }

    const days_into_year = jd_tt - year_start_tt;
    let week = Math.floor(days_into_year / 8);

    if (is_short && week < 45) {
        week += 1;
    }

    if (!is_short && year >= 0) {
        if (0.0 < (360.0 - days_into_year) && (360.0 - days_into_year) < (2.0 / 86400.0)) {
            week = 45;
        }
    }

    week = Math.min(week, 45);
    const day = Math.floor(total_elapsed_days % 8);
    const nano = Math.floor((total_elapsed_days % 1) * DAY_NS);

    return {year, week, day, nano};
}

function to_orbeat(tt) {
    const {year, week, day, nano} = to_parts(tt);
    const frac = Math.floor((nano * (8**4)) / DAY_NS);

    let year_oct = year.toString(8);
    if (year < 0) {
        year_oct = Math.abs(year).toString(8).replace(/^/, '0');
    }
    const week_oct = week.toString(8).padStart(2, '0');
    const day_oct = day.toString(8);
    const frac_oct = frac.toString(8).padStart(4, '0');

    return `${year_oct}_${week_oct}_${day_oct}.${frac_oct}`;
}

function to_orbeat8(tt) {
    const full = to_orbeat(tt);
    const concatenated = full.replace(/[_\.]/g, '');
    return concatenated.split('').reverse().join('').substring(0, 8);
}

function updateTime() {
    const now = new Date();
    document.getElementById('local-time').textContent = `Local Time: ${now.toLocaleString()}`;
    const octalTime = to_orbeat8();
    document.getElementById('octal-time').textContent = octalTime;
}

function copyToClipboard() {
    const text = document.getElementById('octal-time').textContent;
    navigator.clipboard.writeText(text).then(() => {
        alert('Copied to clipboard!');
    });
}

function setCurrentYear() {
    const currentYear = new Date().getFullYear();
    document.getElementById('currentYear').textContent = currentYear;
}

const button = document.getElementById('action-button');
button.onclick = updateTime;

updateTime();
setCurrentYear();
window.onload = setCurrentYear;
</script>
</body>
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