Trust & Methodology Center
Rigorous transparency into our deterministic calculation engines, ephemeris algorithms, calendrical correlations, and cross-tradition mappings.
The 5-Tier Epistemological Truth Standard
OmniZodiac rigorously separates deterministic physical calculation from primary archaeological evidence, scholarly epigraphy, living cultural traditions and indigenous lineages, and modern editorial synthesis:
astronomy-engine v2.1.19 (MIT License), integer Julian Day Number (JDN) conversions via Meeus/Fliegel-Van Flandern, and Purple Mountain Observatory lunisolar tables.
Versioned Calculation Engines
| Engine / System | Version | Primary Astronomical / Historical Standard | Precision / Tolerance | Confidence Tier |
|---|---|---|---|---|
| Western Astrodynamics | v1.2.0 | Bretagnon & Francou VSOP87 / ELP2000-82 / Placidus semi-arc | ~1 arcminute (±0.017°) relative to standard ephemerides (USNO NOVAS / JPL Horizons); bit-for-bit software determinism | Tier A (Calculated) |
| Maya Calendrics | v2.0.0 | GMT 584283 Correlation / Meeus JDN / 260-day Tzolk'in | Exact integer day | Tier A (Conversion Arithmetic) / Tier C (GMT Correlation Model) |
| Egyptian Decans | v2.0.0 | 36 Ecliptic 10° Solar Divisions / Chaldean Planetary Order | ~1 arcminute solar arc | Tier A / Tier B |
| Chinese Lunisolar | v1.0.0 | 60-Year Ganzhi Cycle / Purple Mountain Observatory (1900–2100) | Exact LNY boundary | Tier A / Tier B |
| Pythagorean Numerology | v1.0.0 | 20th-Century Period Reduction Method (Campbell 1931) / Master Numbers 11, 22, 33 | Exact digit sum | Tier E (Modern Framework) / Tier A (Arithmetic) |
| Tarot System (78-Card Canon) | v1.0.0 | 15th-Century Trionfi / 1909 RWS / CSPRNG Fisher-Yates Shuffle | Cryptographically uniform permutation | Tier B (History) / Tier E (Introspective Archetypes) |
| OmniZodiac Compatibility Index | v2.1.0 | Harmonic Model (Element 40%, Modality 30%, Aspect 30%; Love: Element 45%, Aspect 35%, Polarity 20%) | 50–98 bounded index | Tier C (Harmonic) / Tier E (Qualitative) |
| Oracle Fusion Combinator | v2.0.0 | 10-Dimension Cross-Tradition Semantic Resonance Ontology | Qualitative synthesis | Tier E (Synthesis) |
| Forecast Engine & Cosmic Clarity | v2.2.0 | VSOP87 Analytical Ephemeris / Solar House Convention / Aspect Harmonics | ~1 arcminute ecliptic / Calendar-seeded PRNG | Tier A / Tier E |
| ReadingSnapshot Engine | v2.0.0 | Canonical JSON Normalization / Cryptographic SHA-256 Checksum | 256-bit hash match | Tier A (Deterministic) |
1. Western Tropical Astrology (VSOP87 & Placidus Trisection)
Western celestial coordinates are computed deterministically using astronomy-engine v2.1.19 (MIT License by Don Cross), implementing the Bretagnon & Francou (1988) VSOP87 analytical solution, Chapront-Touzé & Chapront (1983) ELP2000-82 lunar theory, and Meeus cubic polynomial mean lunar nodes. Apparent geocentric solar ecliptic longitude determines exact Tropical sign cusps (0°–360°) with positional accuracy within approximately ±1 arcminute (~0.017°) of standard ephemerides (validated upstream against USNO NOVAS and JPL Horizons reference tables), and bit-for-bit client-side software determinism.
23.4392911° − 0.0130042° × T). Mathematical Derivation: Placidus Semi-Arc Fixed-Point Iteration & J2000 Mean Obliquity
For a given geographic latitude φ, mean obliquity ε = 23.4392911° − 0.0130042° × T, and Local Sidereal Time RAMC, Placidus intermediate house cusps (11, 12, 2, 3) solve the transcendental semi-arc trisection equation:
tan(δ) = sin(α) × tan(ε)H = RAMC - α ± (D / 3) × (arc) Convergence is iterated via damped fixed-point iteration until |λ_(n+1) - λ_n| < 10⁻⁶° (hard-capped at 120 iterations max). At polar latitudes where semi-arcs fail to intersect the horizon, Equal House fallback is automatically triggered with explicit disclosure.
2. Maya Sacred Calendar (GMT 584283 Correlation)
Maya Tzolk'in and Haab' calculations utilize the scholarly correlation model Goodman-Martínez-Thompson (GMT 584283), supported by epigraphic consensus (Thompson 1950, FAMSI, Martin & Skidmore 2012) and high-resolution radiocarbon wiggle-matching of Tikal sapodilla lintels within 95% confidence intervals (Kennett et al. 2013). While the conversion arithmetic conditional on this correlation is deterministic (Tier A), the choice of correlation constant represents a scholarly model (Tier C). Dates are converted via the Fliegel-Van Flandern / Meeus JDN algorithm to map the 260-day sacred count (20 Nawales × 13 Trecena Numerals), 365-day solar Haab' calendar, and 5-period Long Count, aligning with living ritual daykeeping documented among contemporary Highland Kʼicheʼ Ajqʼijabʼ (Barbara Tedlock 1982/1992).
Mathematical Derivation: GMT 584283 Julian Day Number to Tzolk'in / Haab' Mapping
Civil Gregorian dates are converted to Julian Day Number (JDN) via Meeus integer arithmetic. The Mayan Long Count day index d is derived strictly by subtracting the GMT correlation constant:
d = JDN - 584283Tzolk'in Numeral (Trecena Coefficient, t) = ((d + 3) mod 13) + 1Tzolk'in Sign (Nawal, s) = ((d + 19) mod 20) + 1Tzolk'in 260-Day Position = 1 + ((40 × (t - 1) + 221 × (s - 1)) mod 260)Haab' Day & Month = (d + 348) mod 365 This integer modulo arithmetic guarantees deterministic calendar invariance matching epigraphic registers and living K'iche' daykeeping lineages.
3. Egyptian Decanal System (36 Decans & Chaldean Order)
Egyptian decan assignments distinguish ancient Middle Kingdom indigenous 36-star sidereal clocks (baktiu) from the later Hellenistic/Ptolemaic ecliptic division into 36 equal 10° solar sectors starting at 0° Aries, while indigenous Pharaonic decanal star clocks are referenced from Neugebauer & Parker (1960–1969). Planetary rulers follow the authentic Chaldean descending orbital sequence (Saturn, Jupiter, Mars, Sun, Venus, Mercury, Moon) recorded in Ptolemy's Tetrabiblos and Vettius Valens' Anthologies.
Mathematical Derivation: Ecliptic 10° Solar Sectors & Chaldean Planetary Sequence
For true geocentric solar ecliptic longitude λ ∈ [0°, 360°), the Hellenistic decan number n ∈ [1, 36] and its Chaldean planetary ruler index r ∈ [0, 6] are calculated deterministically:
n = ⌊λ / 10°⌋ + 1r = (n - 1) mod 7 Where the Chaldean descending orbital sequence is mapped as: 0: Saturn, 1: Jupiter, 2: Mars, 3: Sun, 4: Venus, 5: Mercury, 6: Moon. Indigenous Pharaonic 36-star sidereal clocks (baktiu) from the tomb of Senenmut (TT353) and Asyut coffins are mapped separately as historical reference benchmarks.
4. Chinese Lunisolar Sexagenary Cycle (Purple Mountain Data)
Chinese zodiac animal signs, fixed elements (Wood, Fire, Earth, Metal, Water), and Yin/Yang polarities map directly to the 60-year Lunisolar Sexagenary cycle (Ganzhi). Methodologically, we rigorously distinguish two distinct boundaries: the civil Lunar New Year (Chunjie, the astronomical new moon of the 1st lunar month derived from Purple Mountain Observatory data) and the traditional astrometric solar term Lichun (solar longitude λ = 315°), when the solar Ganzhi year pillar transitions in classical Chinese astronomy, avoiding any arbitrary January 1st assumptions.
Mathematical Derivation: Ganzhi Sexagenary Stem & Branch Modulo Cycles
For any Gregorian year Y, the Heavenly Stem index S ∈ [0, 9] and Earthly Branch (Zodiac Animal) index B ∈ [0, 11] are calculated relative to the sexagenary epoch (4 CE = Jia-Zi):
S = (Y - 4) mod 10 (0: Jia/Wood+, ..., 9: Gui/Water-)B = (Y - 4) mod 12 (0: Zi/Rat, 1: Chou/Ox, ..., 11: Hai/Pig) Solar Ganzhi transitions exactly at Lichun (solar longitude λ = 315°), while civil lunar animal signs transition at Lunar New Year (Chunjie) based on astronomical new moons calculated from Purple Mountain Observatory data.
5. Pythagorean Numerology (Period Reduction Method)
Life Path numbers are computed using the 20th-century Period Reduction Method (Campbell 1931 / Balliett 1908), reducing birth month, day, and year individually before summing. This distinguishes modern base-9 reduction and preserved Master Numbers 11, 22, and 33 from ancient Pythagorean harmonic ratios (Tetractys and monochord intervals).
Mathematical Derivation: Period Reduction Life Path Algorithm
Birth dates are parsed into month M, day D, and year Y. Each component is reduced recursively via digit summation to a single digit or preserved Master Number (11, 22, 33) before the final summation:
R(x) = x ∈ {11, 22, 33} ∨ x < 10 ? x : R(∑ digits(x))Sum = R(M) + R(D) + R(Y)Life Path = R(Sum) Preserving Master Numbers at every recursive digit-sum step (e.g., R(1984) = R(22) = 22) distinguishes the 20th-century Campbell/Balliett Period Reduction Method from naive single-step modulo-9 digital root summation.
6. OmniZodiac Compatibility Index (Harmonic Model v2.1.0)
Our compatibility scores are computed via a symmetric, deterministic astrological harmonic model codified in CompatibilitySpec v2.1.0. In Sign-Only mode, overall compatibility synthesizes Element Synergy (40%), Modality Dynamics (30%), and Harmonic Aspect Angle (30%), with scores strictly bounded in [50, 98]; Romantic synergy weights Element Synergy (45%), Harmonic Aspect Angle (35%), and Polarity Alignment (20%). In Full-Date Five-Lens Comparative Mode, context-specific base weights are applied across scored traditions—Romantic (42% Western / 28% Chinese / 15% Numerology / 15% Maya / 0% Egyptian), Friend (40% / 30% / 15% / 15% / 0%), Family (35% / 35% / 15% / 15% / 0%), and Work (40% / 25% / 20% / 15% / 0%)—with Egyptian 36 Decans presented as unscored solo context (0% weight). Published symbolic index values (0–100 scale, Tier E) represent a comparative interpretive index, never an empirical probability or prediction of relationship outcome.
S_overall = round(clamp(0.40 × E + 0.30 × M + 0.30 × A, 50, 98)), where E, M, and A are deterministic astrological factors in [50, 98]. Full-Date Five-Lens Weights (Tier E): Romantic 42/28/15/15/0, Friend 40/30/15/15/0, Family 35/35/15/15/0, Work 40/25/20/15/0 (Western / Chinese / Numerology / Maya / Egyptian unscored solo context). Symmetry Invariant: S(A, B) = S(B, A) across all 144 sign combinations. Version v2.1.0 forms the single source of truth across algorithms, UI components, PDF exports, and structured data. Mathematical Derivation: Harmonic Compatibility Weighting & Clamp Formulation
For any two zodiac signs A and B, overall compatibility S_overall synthesizes elemental triplicity E, quadruplicity modality M, and angular aspect harmonics A:
S_overall = round(clamp(0.40 × E(A, B) + 0.30 × M(A, B) + 0.30 × A(A, B), 50, 98))S_love = round(clamp(0.45 × E + 0.35 × A + 0.20 × P, 50, 98)) Where P represents polarity alignment (Yin/Yang). The result is bounded strictly within [50, 98] and satisfies exact bilateral symmetry: S(A, B) = S(B, A) across all 144 zodiac pairings.
7. Deterministic Forecast Engine, Cosmic Clarity & Harmonic Numbers (Engine v2.2.0)
OmniZodiac's multi-period forecast engine synthesizes analytical planetary ephemeris (VSOP87) with the classical Solar House system across 9 distinct forecast horizons: Daily, Tomorrow, Weekly, Monthly, Yearly, Love, Career, Money, and Wellness. Our engine strictly separates calculated celestial motions from interpretive contemplation, guaranteeing zero fatalistic predictions and zero speculative claims.
8. Tarot Canon, Cryptographic Shuffling & Introspective Archetypes (Engine v1.0.0)
OmniZodiac's 78-card Tarot system demarcates historical card game origins from modern introspective symbolism. The Major and Minor Arcana trace historically to 15th-century northern Italian courtly triumphal card decks (Trionfi, e.g., Visconti-Sforza c. 1450; Tier B), which were adapted into esoteric divinatory frameworks in 18th-century France (Antoine Court de Gébelin 1781, Etteilla 1785; Tier B/C). The standard pictorial symbolism reflects the 1909 Rider-Waite-Smith deck created by Arthur Edward Waite and artist Pamela Colman Smith.
crypto.getRandomValues), guaranteeing uniform mathematical entropy across all 78 card positions without pseudo-random bias. Daily Tarot vs. Free Draw: Daily Tarot cards are deterministically resolved per sign and calendar day via reading snapshot hashes, while Free Draw readings utilize live interactive CSPRNG shuffling. Epistemic Demarcation: Cards are classified strictly as symbolic contemplative archetypes for psychological self-reflection (Tier E), never as predictive or fatalistic oracles. 9. Oracle Fusion Cross-Tradition Comparative Methodology (Engine v2.0.0)
Oracle Fusion synthesizes 5 independent traditional systems—Western Tropical, Maya Sacred Calendrics, Egyptian Decans, Chinese Lunisolar, and Pythagorean Numerology—across a structured 10-dimension semantic resonance ontology. This multi-lens framework allows users to explore how distinct civilizational cosmologies symbolically approach human experience.
Primary Archaeological & Documentary Evidence
Every traditional astrological system represented on OmniZodiac is grounded in verified documentary and archaeological artifacts. Below are the primary historical manuscripts, stone stelae, and architectural ephemeris alignments that inform our calculation algorithms.
Documented Ancient Ephemeris Records
Primary source documentation preserved in major open-access academic and museum collections.
Page 24 of the Dresden Codex detailing the 584-day synodic cycle of Venus (Chak Ek') and correlation with the 260-day Tzolk'in sacred calendar.
Astronomical ceiling in the Tomb of Senenmut (TT353, c. 1473 BCE), the oldest known comprehensive star map displaying the 36 decans, Orion (Sah), Sirius (Sopdet), and lunar calendar circles.
The Dunhuang Star Chart (c. 700 CE, British Library Or.8210/S.3326), the world's earliest surviving comprehensive manuscript star atlas, plotting 1,339 stars across 257 asterisms and 28 Lunar Mansions (Xiu).
The Nebra Sky Disk (c. 1600 BCE, Halle State Museum), a 30 cm bronze disk with gold inlays depicting the Sun/full Moon, crescent Moon, Pleiades star cluster (7 gold dots), and horizon angle arcs matching the 82° annual solar azimuth shift.
Authoritative Primary Sources & Research Bibliography
OmniZodiac calculation models and cross-tradition taxonomies derive directly from published academic monographs, ephemerides, and primary epigraphic collections. Below is the crawlable reference bibliography categorized by cosmological tradition:
Western Astrodynamics & Analytical Ephemerides
Analytical series solution for planetary orbital variations across ±4,000 years with micro-degree precision.
Bretagnon, P. & Francou, G. (1988). Planetary theories in rectangular and spherical variables: VSOP87 solutions. Astronomy and Astrophysics, 202(1–2), 309–315.
▸ View additional primary sources & monographs in this tradition (36)
High-precision semi-analytical lunar ephemeris modeling complex Earth-Moon gravitational perturbations.
Chapront-Touzé, M. & Chapront, J. (1983). The lunar ephemeris ELP 2000. Astronomy and Astrophysics, 124(1), 50–62.
Authoritative mathematical manual for Julian Day Numbers, obliquity of the ecliptic, nutation, coordinate transformations, and eclipse path predictions.
Meeus, J. (1998). Astronomical Algorithms (2nd ed.). Willmann-Bell, Inc.
Heavily tested against JPL Horizons and USNO astronomical data; zero external network dependencies.
Cross, D. (2020). Astronomy Engine: Precise positional astronomy algorithms in C, C#, Python, and JavaScript. MIT License.
Universal global reference for historical civil timekeeping, daylight saving time transitions, and war time offsets back to 1900.
Eggert, P., & Olson, A. D. (2026). Sources for time zone and daylight saving time data. Internet Assigned Numbers Authority.
Claudius Ptolemy’s foundational Hellenistic treatise systematizing mathematical planetary aspects, dignities, and houses (c. 150 CE).
Ptolemy, C. (1940). Tetrabiblos (F. E. Robbins, Ed. & Trans.). Harvard University Press (Loeb Classical Library No. 435).
Primary first-century Hellenistic verse manual of natal triplicity lords, sect, and katarchic/synastric aspect doctrine.
Dorotheus Sidonius. (1976). Carmen Astrologicum (D. Pingree, Ed. & Trans.). B. G. Teubner.
Vettius Valens’s extensive 9-book compendium containing over one hundred practical Hellenistic natal horoscopes and time-lord techniques (c. 175 CE).
Valens, V. (1986). Vettii Valentis Antiocheni Anthologiarum libri novem (D. Pingree, Ed.). B. G. Teubner.
Standard semi-arc house division system adopted widely across Europe from the 18th century onward.
de Titis, P. (1657). Primum Mobile: Complectens theoriis et canonibus extrinsecis in tabulis directoriis. Padua.
Babylonian two-tablet cuneiform celestial compendium recording constellations, heliacal risings, and lunar shadow lengths (c. 1000 BCE).
Hunger, H., & Pingree, D. (1989). MUL.APIN: An Astronomical Compendium in Cuneiform. Archiv für Orientforschung, Beiheft 24. Verlag Ferdinand Berger & Söhne.
Most widely read Hellenistic poetic manual of constellations and weather signs, identifying Virgo with Astraea and documenting the classical mythic narrative.
Aratus. (1997). Phaenomena (D. Kidd, Ed. & Trans.). Cambridge Classical Texts and Commentaries, Cambridge University Press.
Masterpiece of Islamic astronomy synthesizing Ptolemy’s Almagest star catalog with indigenous Arabic stellar traditions, containing dual mirror-image illustrations of all 48 constellations.
Al-Sūfī, ʿA. (1954). Suwaru’l-Kawakib (Description of the 48 Constellations). Osmania Oriental Publications Bureau, Hyderabad (Bodleian MS. Marsh 144 facsimile edition).
Regarded as the pinnacle of early modern celestial cartography, combining Ptolemaic, Copernican, and Tychonic cosmological representations with meticulous 48-constellation coordinates before telescopic astrophotography.
Cellarius, A. (1660). Harmonia Macrocosmica seu Atlas Universalis et Novus. Amsterdam: Johannes Janssonius, Plate 28.
Oldest known concrete depiction of celestial phenomena worldwide, featuring the sun/full moon, crescent moon, and Pleiades cluster used for intercalary calendrical synchronization.
Meller, H. (2004). Der geschmiedete Himmel: Die weite Welt im Herzen Europas vor 3600 Jahren. Theiss Verlag; UNESCO Memory of the World Register (2013).
Historical foundation of geometric aspect theory based on regular polygon inscribability in the 360° circle, introducing the quintile, biquintile, and sesquiquadrate alongside classical Ptolemaic aspects.
Kepler, J. (1619). Harmonices Mundi Libri V. Lincii Austriae: Sumptibus Godofredi Tampachii. English trans. Field, J.V. (1997), American Philosophical Society.
Object 2060 Chiron was discovered on plates taken October 18–19, 1977; recognized as the prototype of Centaur minor planets with chaotic orbit crossing Saturn and Uranus.
Kowal, C. T., Liller, W., & Marsden, B. G. (1979). The Discovery and Orbit of /2060/ Chiron. In Dynamics of the Solar System (pp. 245-250). Springer, Dordrecht.
Foundational psychological-astrological treatise synthesizing Centaur myth, the archetype of the Wounded Healer, and the 50-year Chiron return.
Reinhart, M. (1989). Chiron and the Healing Journey: An Astrological and Psychological Perspective. London: Arkana.
Standard reference on glyph composition, decomposing astrological symbols into the primal components of Circle (Spirit), Crescent (Soul), and Cross (Matter).
Hand, R. (1981). Horoscope Symbols. Rockport, MA: Para Research.
The definitive scholarly corpus of surviving Greco-Roman papyri, graffiti, and literary horoscopes from 72 BCE to 6th century CE.
Neugebauer, O., & Van Hoesen, H. B. (1959). Greek Horoscopes. Memoirs of the American Philosophical Society, Vol. 48. Philadelphia: APS.
The foundational philosophical formulation of the four sublunary elements (Fire, Earth, Air, Water) as pairwise combinations of primary tactile qualities (Hot, Cold, Wet, Dry).
Aristotle. (c. 350 BCE). De Generatione et Corruptione (H. H. Joachim, Trans., Oxford Classical Texts, 1922).
Systematization of the Hippocratic humoral doctrine into the four temperaments: Choleric (Fire), Melancholic (Earth), Sanguine (Air), and Phlegmatic (Water).
Galen. (c. 175 CE). De Temperamentis (P. N. Singer, Trans., Cambridge University Press, 1997).
Discovery of the precession of the equinoxes (~1° per century) by comparing his lunar eclipse observations with Timocharis and Aristyllus.
Hipparchus. (c. 127 BCE). Preserved in Ptolemy, C. (c. 150 CE). Syntaxis Mathematica (Almagest), Books III and VII (G. J. Toomer, Trans., Duckworth, 1984).
Formalized modern scientific boundaries of all 88 constellations along right ascension and declination arcs, establishing exact sky areas.
Delporte, E. (1930). Délimitation scientifique des constellations. International Astronomical Union, Cambridge University Press.
Standard critical philological edition and astronomical commentary for the entire MUL.APIN cuneiform corpus.
Hunger, H., & Pingree, D. (1989). MUL.APIN: An Astronomical Compendium in Cuneiform. Archiv für Orientforschung, Beiheft 24. Verlag Ferdinand Berger & Söhne.
Definitive historical synthesis tracing the evolutionary pathway from Bronze Age Mesopotamian markers to classical zodiac signs.
Rogers, J. H. (1998). Origins of the ancient constellations: I. The Mesopotamian traditions. Journal of the British Astronomical Association, 108(1), 9–28.
Demonstrates that Babylonian celestial divination (Enuma Anu Enlil) was civic, royal, and agricultural, without individual psychological horoscopy.
Koch-Westenholz, U. (1995). Mesopotamian Astrology: An Introduction to Babylonian and Assyrian Celestial Divination. Carsten Niebuhr Institute Publications 19. Museum Tusculanum Press.
Exhaustive archaeological catalog of Babylonian boundary stones (kudurrus) documenting the iconography of the sea-goat, archer Pabilsag, scorpion, and bull.
Seidl, U. (1989). Die babylonischen Kudurru-Reliefs: Symbole mesopotamischer Gottheiten. Orbis Biblicus et Orientalis 87. Universitätsverlag Freiburg Schweiz.
Authoritative reference on Mesopotamian religious symbols, verifying attributes of Ea, Ishhara, Pabilsag, Shala, and Girtablilu scorpion-men.
Black, J., & Green, A. (1992). Gods, Demons and Symbols of Ancient Mesopotamia: An Illustrated Dictionary. British Museum Press.
Definitive critical edition of the Epic of Gilgamesh, confirming Tablet VI (slaying of the Bull of Heaven) and Tablet IX (scorpion-men of Mount Mashu).
George, A. R. (2003). The Babylonian Gilgamesh Epic: Introduction, Critical Edition and Cuneiform Texts (2 vols.). Oxford University Press.
Ptolemy’s definitive 13-book astronomical treatise establishing geocentric mathematical models, the 48 classical constellations, and 1,022-star catalog (c. 150 CE).
Ptolemy, C. (1984). Ptolemy’s Almagest (G. J. Toomer, Trans.). Duckworth / Springer-Verlag.
Authoritative etymological reference establishing historical linguistic transmission of Arabic, Greek, Latin, and Babylonian star names.
Kunitzsch, P., & Smart, T. (2006). A Dictionary of Modern Star Names: A Short Guide to 254 Star Names and Their Derivations. Sky Publishing.
Numismatic proof of imperial silver denarii bearing the goat-fish with cornucopia and globe, illustrating the political adoption of zodiac iconography.
Sutherland, C. H. V. (1984). The Roman Imperial Coinage: Vol. I. Augustus to Vitellius (rev. ed., Nos. 124–130). Spink & Son.
High-precision space astrometry catalog providing distance, parallax, and proper motion measurements for bright stars.
van Leeuwen, F. (2007). Validation of the new Hipparcos reduction. Astronomy and Astrophysics, 474(2), 653–664.
Verifies the distance (~8.34 kpc, ~26,000 light-years) and celestial coordinates of the Galactic Center and Sagittarius A*.
Reid, M. J., Menten, K. M., Brunthaler, A., et al. (2014). Trigonometric parallaxes of high mass star forming regions: The structure and kinematics of the Milky Way. The Astrophysical Journal, 783(2), 130.
Foundational 20th-century treatise shifting astrology from ancient fatalistic prediction to modern psychological integration.
Rudhyar, D. (1936). The Astrology of Personality: A Re-formulation in Terms of Contemporary Psychology. Lucis Publishing.
Integrates Jungian depth psychology and mythic archetypes into the psychological understanding of the 12 signs.
Greene, L. (1984). The Astrology of Fate. Samuel Weiser.
Shawn Carlson’s landmark double-blind experimental protocol in Nature disproving physical astrologic predictive causation.
Carlson, S. (1985). A double-blind test of astrology. Nature, 318(6045), 419–425.
Maya Sacred Calendrics & Epigraphy
Postclassic Maya screenfold bark-paper codex preserving the 584-day Venus heliacal rising tables and solar/lunar eclipse warning matrices.
Sächsische Landesbibliothek – Staats- und Universitätsbibliothek Dresden. (n.d.). Codex Dresdensis (Mscr. Dresd. Ch. 1). Dresden, Germany.
▸ View additional primary sources & monographs in this tradition (10)
Classic Maya monumental sandstone stela in Guatemala recording the mythological creation date 13.0.0.0.0 4 Ajaw 8 Kumk’u and stone hearth-setting (775 CE).
Sharer, R. J. (1990). Quiriguá: A Classic Maya Center and Its Sculptures. Carolina Academic Press.
Carved volcanic andesite monument depicting all 16 dynastic rulers of Copán, seated on glyphic name cushions, commemorating the lineage transmission from founder K'inich Yax K'uk' Mo' to Yax Pasaj Chan Yopaat. Modern epigraphy discredits the early 20th-century myth of an "astronomers conclave".
Fash, B. W. (1992). Late Classic Maya stone sculpture from Copán, Honduras. In Classic Maya Political History (pp. 204–235). Cambridge University Press.
Cylindrical stone observatory containing horizontal viewing slits that align with maximum northern and southern horizon declinations of Venus.
Aveni, A. F., Gibbs, S. L., & Hartung, H. (1975). The Caracol, the observatory at Chichen Itza: An astronomical analysis. Science, 188(4192), 977–985.
Authoritative scholarly correlation constant anchoring the Maya Long Count epoch 0.0.0.0.0 4 Ajaw 8 Kumk’u to August 11, 3114 BCE.
Thompson, J. E. S. (1950). Maya Hieroglyphic Writing: An Introduction (Carnegie Institution of Washington Publication 589). Washington, D.C.
High-precision accelerator mass spectrometry (AMS) radiocarbon wiggle-matching on Tikal carved sapodilla wooden lintels strongly supports the GMT correlation within 95% confidence intervals, decisively ruling out major alternative correlations like Spinden.
Kennett, D. J., Hajdas, I., Culleton, B. J., Belmt, G. A., Ebert, C., Carmi, I., ... & Wegener, R. (2013). Correlating the Maya and Gregorian calendars with high-resolution radiocarbon dating of carved wooden lintels. Scientific Reports, 3(1), 1597.
Supreme masterpiece of indigenous American literature, detailing the mythic creation, Hero Twins Hunahpu and Xbalanque, and day sign spiritual qualities.
Tedlock, D. (Trans.). (1985). Popol Vuh: The Definitive Edition of the Mayan Book of the Dawn of Life and the Glories of Gods and Kings. Simon & Schuster.
Empirical ethnographic documentation recording that the 260-day Tzolkʼin (Cholqʼij) count is actively maintained in communal ceremonial practice by contemporary Highland Kʼicheʼ Ajqʼijabʼ, demonstrating direct day-count concordance with colonial-era correlation records.
Tedlock, B. (1992). Time and the Highland Maya (Revised ed.). University of New Mexico Press.
Foundational 20th-century treatise defining Classic Maya calendrics, Long Count arithmetic, Tzolk'in day signs, and Haab' months.
Thompson, J. E. S. (1960). Maya Hieroglyphic Writing: An Introduction (2nd ed.). University of Oklahoma Press.
Authoritative archaeoastronomical study analyzing architectural alignments, Venus tables, and eclipse cycles across Mesoamerica.
Aveni, A. F. (2001). Skywatchers: A Revised and Updated Version of Skywatchers of Ancient Mexico. University of Texas Press.
Consensus among Mesoamericanists and indigenous daykeepers that Dreamspell is a 20th-century New Age reinvention, not authentic Classic Maya astronomy.
Argüelles, J. (1990). Dreamspell: The Journey of Timeship Earth 2013. Bear & Company.
Egyptian Decanal Astronomy & Star Clocks
Painted astronomical tables on First Intermediate Period cedar coffin lids from Asyut detailing the 36 decanal star risings throughout the 360-day civil year (c. 2100 BCE).
Symons, S. L. (2002). Ancient Egyptian astronomy: Timekeeping and cosmography in the New Kingdom and Middle Kingdom. University of Leicester.
▸ View additional primary sources & monographs in this tradition (9)
Oldest known complete monumental astronomical ceiling painting in Egypt, depicting the northern circumpolar constellations, southern decans, lunar calendar, and deities.
Dorman, P. F. (1991). The Tombs of Senenmut: The Architecture and Decoration of Tombs 71 and 353. Metropolitan Museum of Art.
Sandstone ceiling relief from Hathor Temple chapel synthesizing Greco-Roman 12 signs, 36 Egyptian decans, and planetary positions (c. 50 BCE).
Cauville, S. (1997). Le zodiaque d’Osiris. Peeters Publishers / Musée du Louvre.
The undisputed scholarly magnum opus cataloging, transliterating, and analyzing all surviving Egyptian decan lists and astronomical ceilings.
Neugebauer, O., & Parker, R. A. (1969). Egyptian Astronomical Texts: III. Decans, Planets, Constellations and Zodiacs. Brown University Press.
Definitive archaeological reconstruction of the 30th Dynasty monolithic shrine (found at Heracleion) detailing cosmological decanal governance over weather and plague.
von Bomhard, A.-S. (2008). The Naos of the Decades: Underwater Archaeology in the Canopic Region in Egypt. Oxford Centre for Maritime Archaeology.
Comprehensive structural analysis of diagonal star clocks and Ramesside hour tables, reconstructing the heliacal rising sequences of the decanal stars.
Leitz, C. (1995). Altägyptische Sternuhren (Orientalia Lovaniensia Analecta 62). Peeters Publishers.
Preserves the Hellenistic Egyptian synthesis of the 36 decans, integrating Ptolemaic astrology with Dorotheus of Sidon and Nechepso-Petosiris fragments, including the Chaldean decanic planetary rulers and physical rising omens.
Hephaestio of Thebes. (1973). Apotelesmatica (D. Pingree, Ed., Vols. 1–2). Teubner.
Most comprehensive surviving late Roman textbook on astrological practice, documenting the 36 decans as 10° arcs with planetary rulership.
Firmicus Maternus, J. (1975). Ancient Astrology Theory and Practice: Matheseos Libri VIII (J. R. Bram, Trans.). Noyes Press.
Earliest Hellenistic author to systematically describe the iconography and co-rising constellations (paranatellonta) of the 36 Egyptian decans.
Teukros of Babylon. (1898). De Decanis (F. Boll, Ed., Sphaera: Neue griechische Texte und Untersuchungen zur Geschichte der Sternbilder). Teubner.
Definitive epigraphic publication of the Dendera ceiling, showing temple zodiacs served cosmological resurrection theology, not horoscopes.
Cauville, S. (1997). Le zodiaque d’Osiris. Peeters Publishers / Musée du Louvre Département des Antiquités Égyptiennes.
Chinese Lunisolar Astronomy & Sexagenary Cycles
Late Shang Dynasty divinatory pyromantic plastrons and scapulae establishing the continuous 60-day Ganzhi sexagenary count (c. 1200 BCE).
Guo, M. (1978–1982). Jiaguwen Heji (甲骨文合集, Corpus of Oracle Bone Inscriptions). Zhonghua Book Company.
▸ View additional primary sources & monographs in this tradition (15)
Tang Dynasty ink-on-paper scroll from Mogao Cave 17, recognized as the world’s oldest surviving complete manuscript star atlas with 1,339 stars (c. 700 CE).
Bonnet-Bidaud, J.-M., Praderie, F., & Whitfield, S. (2009). The Dunhuang Chinese sky: A comprehensive study of the oldest known star atlas. Journal of Astronomical History and Heritage, 12(1), 39–59.
Detailed technical monograph documenting the 30-foot-tall water-driven astronomical clock tower featuring an escapement mechanism and rotating armillary sphere.
Needham, J., Wang, L., & Price, D. J. (1986). Heavenly Clockwork: The Great Astronomical Clocks of Medieval China. Cambridge University Press.
Authoritative Han Dynasty synthesis uniting Yin-Yang, Wuxing (Five Phases), 28 Lunar Mansions, and Ganzhi cosmology into an integrated system.
Major, J. S. (1993). Heaven and Earth in Early Han Thought: Chapters Three, Four, and Five of the Huainanzi. State University of New York Press.
Monumental Western scholarly reference work analyzing the history of Chinese astronomy, calendar systems, armillary spheres, and star catalogs.
Needham, J., & Wang, L. (1959). Science and Civilisation in China: Vol. 3. Mathematics and the Sciences of the Heavens and the Earth. Cambridge University Press.
Official national standard governing the calculation of new moons, 24 solar terms (Jieqi), and leap months (Runyue) based on modern dynamical ephemerides.
Purple Mountain Observatory, Chinese Academy of Sciences. (2017). Calculation and promulgation of the Chinese calendar (GB/T 33661-2017). Standards Press of China.
Official national standard for astronomical computation of the Chinese lunisolar calendar, defining Lichun (solar longitude λ = 315° at 120°E Beijing Standard Time) as the precise boundary for year pillar (Ganzhi) transitions.
Standardization Administration of the People's Republic of China. (2017). Calculation and Promulgation of the Chinese Calendar (GB/T 33661-2017). Standards Press of China.
Provides the earliest physical archaeological inscription of all 28 Lunar Mansions (Ershiba Xiu) arranged in a complete circle around the Big Dipper (Dou), flanked by the Azure Dragon and White Tiger.
Hubei Provincial Museum. (1989). Tomb of Marquis Yi of Zeng (曾侯乙墓). Cultural Relics Publishing House.
Monumental stone planisphere depicting 1,434 stars in 283 asterisms with the equator, 24° oblique ecliptic, Milky Way, and radiating lunar mansion boundary lines.
Rufus, W. C. (1945). The Soochow Astronomical Chart. Journal of the Royal Astronomical Society of Canada, 39, 137–160.
A 40-foot brick gnomon tower used to measure shadow lengths with unprecedented precision, calculating the tropical year to 365.2425 days (Shoushi Calendar, matching the Gregorian standard 300 years earlier).
Needham, J., & Wang, L. (1959). Science and Civilisation in China (Vol. 3, pp. 294–302). Cambridge University Press.
Masterpiece cast bronze equatorial armillary sphere supported by coiled dragon pillars, coordinating the 12 Earthly Branches and 28 lunar mansions across interlocking degree rings.
Needham, J., & Wang, L. (1959). Science and Civilisation in China (Vol. 3, pp. 367–382). Cambridge University Press.
Sima Qian’s definitive Han Dynasty astronomical monograph mapping the five celestial palaces, 28 lunar lodges, and planetary portents (c. 100 BCE).
Sima, Q. (c. 91 BCE). Shiji (Records of the Grand Historian), Chapter 26 (Book on the Calendar) and Chapter 27 (Treatise on Celestial Offices). Zhonghua Shuju, 1959.
Oldest excavated archaeological text recording the complete 12 animal zodiac (Shengxiao) correlated with the 12 Earthly Branches.
Hubei Provincial Museum. (1990). Shuihudi Qinmu Zhujian (Shuihudi Qin Tomb Bamboo Slips). Cultural Relics Publishing House, Beijing.
Authoritative classical text establishing the exact 12 animal to Earthly Branch pairings (Zi-Rat to Hai-Pig) identical to contemporary usage.
Wang, C. (1907). Lun-Hêng, Part I: Philosophical Essays of Wang Ch'ong (A. Forke, Trans.). Otto Harrassowitz, Leipzig.
The foundation of Four Pillars of Destiny (BaZi), establishing the Day Pillar as Day Master (Riyuan) and solar term boundaries for Month Pillars.
Xu, Z. (1936). Yuanhai Ziping (Siku Quanshu Zhenben ed.). Commercial Press, Shanghai.
Definitive astronomical reference tables for solar terms (Jieqi), lunar phases, intercalary months, and Ganzhi sexagenary transitions.
Purple Mountain Observatory. (2017). Standard Perpetual Calendar: 1900–2100. Science Press, Beijing.
Cross-Tradition Synthesis & Numerology
Preserves the authentic early Pythagorean teachings on the Tetractys (1 + 2 + 3 + 4 = 10) as the cosmic foundation of harmony and arithmetic.
Huffman, C. A. (1993). Philolaus of Croton: Pythagorean and Presocratic. Cambridge University Press.
▸ View additional primary sources & monographs in this tradition (19)
The standard textbook of Pythagorean mathematical philosophy for over a millennium, translating number ratios into cosmological principles.
Nicomachus of Gerasa. (1926). Introduction to Arithmetic (M. L. D’Ooge, Trans.). Macmillan / University of Michigan Press.
Neopythagorean treatise (attributed to Iamblichus and Nicomachus) expounding the qualitative metaphysical properties of numbers 1 through 10.
Pseudo-Iamblichus. (1988). The Theology of Arithmetic: On the Mystical, Mathematical and Cosmological Properties of the First Ten Numbers (R. Waterfield, Trans.). Phanes Press.
Originator of the modern Period Reduction Method for calculating Life Path numbers, establishing the mathematical preservation of Master Numbers 11, 22, and 33.
Campbell, F. (1931). Your Days Are Numbered: A Manual of Numerology for Everyday Use. Richard R. Smith, Inc.
Codified mathematical specification enforcing symmetry S(A, B) = S(B, A) across all 78 canonical pairs with bounded outputs [50, 98].
OmniZodiac. (2026). CompatibilitySpec v2.1.0: Deterministic Astrological Compatibility Architecture. Smatire LLC.
Standardized immutable schema with SHA-256 integrity verification; guarantees 100% ephemeral client privacy with zero server PII storage.
OmniZodiac. (2026). ReadingSnapshot Specification v2.0.0: Immutable Client-Side Astrological Data Structures. Smatire LLC.
Explicitly frames modern multi-tradition syntheses as introspective, non-fatalistic psychological archetypes rather than historical ancient practices or empirical natural science.
OmniZodiac. (2026). Cross-Tradition Archetypal Synthesis: Contemporary Qualitative Resonance Across Western, Maya, Egyptian, and Chinese Systems. Smatire LLC.
Hand-painted Milanese illuminated luxury card deck by Bonifacio Bembo, recognized as the earliest surviving major Tarot archetype collection (c. 1450 CE).
Dummett, M. (1986). The Game of Tarot: From Ferrara to Salt Lake City. Duckworth; Morgan Library MS M.630.
Standardized European 78-card canon that fixed Roman numeral ordering (I Le Bateleur to XXI Le Monde) and iconic primary color woodcut archetypes.
Conver, N. (1760). Tarot de Marseille. Marseille: Nicolas Conver; Depaulis, T. (1984). Tarot, jeu et magie. Bibliothèque Nationale de France.
Foremost contemporary scholarly history separating historical 6th-century BCE Pythagorean philosophy and harmonic theory from later myths.
Kahn, C. H. (2001). Pythagoras and the Pythagoreans: A History. Hackett Publishing Company.
Historical origin of modern Western numerology, inventing the 1–9 Latin alphabetic correspondence grid and birthdate digit-summing method.
Balliett, L. D. (1908). The Philosophy of Numbers: Their Tone and Colors. L. Dow Balliett.
Renaissance magisterial compendium documenting Hebrew Gematria, Greek Isopsephy, and planetary number scales in European occultism.
Agrippa, H. C. (1993). Three Books of Occult Philosophy (J. Freake, Trans.; D. Tyson, Ed.). Llewellyn Publications.
Landmark academic study conclusively demonstrating tarot was invented c. 1440 in Northern Italy as a card game, debunking occult origin myths.
Dummett, M. (1980). The Game of Tarot: From Ferrara to Salt Lake City. Gerald Duckworth and Company.
Historical source of the myth that tarot was an ancient Egyptian hieroglyphic book of wisdom; refuted by modern philology and archaeology.
Court de Gébelin, A. (1781). Monde Primitif, analysé et comparé avec le monde moderne (Vol. 8). Paris: Chez l'auteur, Boudet.
Influential 19th-century occult treatise establishing the correlation between the 22 Tarot Major Arcana and the 22 letters of the Hebrew alphabet.
Lévi, É. (1896). Transcendental Magic: Its Doctrine and Ritual (A. E. Waite, Trans.). George Redway, London.
Historical primary source for the 1909 Rider-Waite-Smith deck, synthesizing Golden Dawn astrological decan correspondences with scenic Minor Arcana.
Waite, A. E., & Smith, P. C. (1910). The Key to the Tarot. William Rider & Son, London.
Pioneered the psychological interpretation of symbolic and esoteric imagery as projections of universal human archetypes and active imagination.
Jung, C. G. (1969). The Archetypes and the Collective Unconscious (2nd ed., R. F. C. Hull, Trans., Collected Works Vol. 9, Part 1). Princeton University Press.
Influential post-Jungian study mapping the 22 Major Arcana cards to Jungian archetypes and the individuation process, clarifying that Tarot was not created by Jung but examined through post-Jungian analytical psychology.
Nichols, S. (1980). Jung and Tarot: An Archetypal Journey. Weiser Books.
Contemporary multi-tradition analytical lens synthesizing calculated facts from Western, Maya, Egyptian, Chinese, and Pythagorean frameworks.
OmniZodiac. (2026). Oracle Fusion Cross-Tradition Comparative Synthesis Architecture. Smatire LLC.
Original modern secular deck design featuring 180° rotationally invariant backs and deterministic daily anchor / CSPRNG free-draw mechanics.
OmniZodiac. (2026). OmniZodiac 78-Card Art Nouveau Vector Tarot Specification. Smatire LLC.
Precision, Edge Cases & Known Limitations
- Polar Latitudes (|lat| ≥ 66.56°): Under extreme arctic/antarctic coordinates where celestial semi-arcs do not intersect the horizon, our Placidus house engine automatically and gracefully falls back to Equal House division without layout shifts or NaN values.
- Missing Birth Time: When birth time is unspecified, our system calculates planetary longitudes for 12:00 UTC and computes a rigorous 24-hour Moon span to qualify whether the Moon changed signs during the calendar date. Authoritative Ascendant (Rising sign), Midheaven (MC), and house cusps are omitted entirely to prevent fabricating speculative angles.
- Missing or Ambiguous Birth Location: When location is unspecified, local horizon angles (Rising/MC/houses) are omitted entirely (never defaulted to 0° UTC / Greenwich). Planetary placements are computed in the geocentric ecliptic reference frame with an explicit geocentric advisory.
- Historical Timezones & Daylight Saving Time: Dates and coordinates are resolved via the canonical IANA timezone database using native
Intl.DateTimeFormatUTC offset resolution, supporting historical war time (WWII War Time, British Double Summer Time), non-hourly timezones (e.g., India +5:30, Nepal +5:45), and seasonal DST transitions without naive longitude approximations. Birth dates preceding the standardization of civil railway time zones (e.g., pre-1883 in the US, pre-1880 in Britain, pre-1893 in Germany) are classified as historical Local Mean Time (LMT) and transparently flagged with an advisory notice. - Zero Scientific Prediction Claims: OmniZodiac does not provide medical diagnoses, legal counsel, financial forecasts, or fatalistic mortality predictions.
Corrections Policy & Ephemeral Privacy
We invite academic, astronomical, and user scrutiny. If you discover a mathematical discrepancy or historical error, please review our Corrections Policy and submit a report for prompt verification.
100% Client-Side & Strictly Browser-Local Privacy: All birth data calculations execute 100% locally in your client device browser (with zero server processing, zero serverless function endpoints, and zero remote logging of personal coordinates or birth times). Personal birth details are never saved, stored, or transmitted.
Geographical Data & Timezone Reference (GeoNames CC BY 4.0)
Worldwide city coordinates, administrative subdivisions, population ranks, and canonical IANA timezone associations are derived from the GeoNames Geographical Database under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
All geospatial search indices and historical timezone resolution calculations run 100% locally and offline in the user's browser without sending typed queries or birth locations to external geocoding servers.
Algorithmic astronomical and calendrical computations (VSOP87, ELP2000, topocentric house cusps, Maya Long Count GMT 584283 correlation model, Chinese Ganzhi, modern Pythagorean reduction). Fully deterministic, client-side only, bit-for-bit reproducible.
Calculations executed client-side via astronomy-engine v2.1.19 (VSOP87 / ELP2000-82) with zero server birth data transmission. Mathematical algorithms adhere to peer-reviewed astronomical standards.
This page was produced via deterministic algorithms and literature synthesis without an independent external human review record.