The complementary formula
For a day chart, Spirit = Ascendant + Sun − Moon. For a night chart, Spirit = Ascendant + Moon − Sun. Every term is an absolute tropical longitude from 0° Aries, and the result is reduced modulo 360°. This reverses Fortune's day/night assignments. The paired equations make Fortune and Spirit complementary: reversing the solar and lunar arc exchanges their positions.
Continue the arithmetic example
Take an Ascendant of 9° Leo (129°), a Sun at 4° Taurus (34°), and a Moon at 6° Aquarius (306°). In a day chart, Spirit is 129 + 34 − 306 = −143°. Add 360° to reach 217°, or 7° Scorpio. Fortune with those same positions would be 11° Taurus. In a night chart their formulas and positions exchange. This is a mathematical relation between constructed chart points, not a change in the physical location of the luminaries.
What Spirit can and cannot say
Traditional writers associated Spirit or Daimon with intention, action, and directed activity, alongside Fortune's bodily or circumstantial themes. Those associations belong to a history of interpretation, not a measurable personality scale. A useful reading considers the full chart, the source text, sect, and the ruler of the lot's sign. The site provides a location and formula so readers can make that comparison; it does not turn the result into a compatibility score, a vocation diagnosis, or a claim about spiritual experiences.
Medieval Arabic and Hellenistic catalogues contain many other points and can follow different source definitions. This page uses one explicitly stated complementary pair. If another calculator gives a different Spirit degree, first compare birth time, coordinates, zodiac type, sect, and the exact formula before assuming either result is erroneous.
References
- Al-Biruni, Book of Instruction, verse 476, Wright translation; annotated table — traditional lots formulas and night reversals.
- Digital facsimile of Al-Biruni’s Book of Instruction — context for the eleventh-century work and the 1934 translation.
- Astronomy Engine documentation and source — the astronomical library used for planetary positions and the local horizon calculation.
These sources describe a historical method and the astronomical implementation. The site calculates positions independently with Astronomy Engine 2.1.19 and its own birth-chart code.
