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Natal Chart (Tropical) · Point 4 of 7

The Part of Fortune, a lot counted from the Ascendant

The Part of Fortune is the best known of the lots: the distance from the Sun to the Moon, counted off from the Ascendant. By day it is Ascendant plus Moon minus Sun; our chart reverses the count for a night birth, as Valens did, and names the formula.

Where does it sit in your chart?

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A chart wheel with the Ascendant at the left, the Sun and the Moon marked on the rim with an arc between them, and the same arc laid off from the Ascendant to a point marked PF. ☉︎ ☽︎ AC PF by day: AC + Moon − Sun
The day formula: the arc from the Sun to the Moon, counted again from the Ascendant, gives the Part of Fortune; by night our chart counts it the other way. Our drawing.

Facts

What it is
A lot: a point counted from the Ascendant by the distance between the Sun and the Moon
By day
Ascendant + Moon − Sun
By night
Ascendant + Sun − Moon in our chart (the reversed formula)
Day or night
Decided by the Sun's altitude at the birth place, which also holds above the polar circles
In our chart
In the points table, and on the wheel as PF with the points toggle
Aspects
None: it moves with the Ascendant but our data give it no speed
Other names
The Lot of Fortune; Pars Fortunae; the first of the "Arabic parts"

Meaning

A lot is a point made by measuring the distance between two bodies and counting it off from the Ascendant. The Part of Fortune, the Hellenistic Lot of Fortune, is the oldest and best known: by day it is the Ascendant plus the Moon minus the Sun, so the lot stands to the Ascendant as the Moon stands to the Sun. Ptolemy calls it a kind of lunar ascendant, "a lunar horoscope or ascendant" in Ashmand's 1822 translation.

The Hellenistic texts read it as a second ascendant, for the body and for a person's circumstances. Later writers, Lilly among them, read it chiefly for worldly goods; that reading we leave out here.

By day and by night

Ptolemy used the one formula "both by night and day", and Lilly did the same in 1647, as did much twentieth-century software. Valens and Dorotheus reversed it for night births, Ascendant plus Sun minus Moon, and astro.com does so by default. Both are conventions. Our engine reverses at night and decides whether a birth is by day or by night from the Sun's altitude at the birth place, which also holds above the polar circles, where the older test by the Sun's house gave the wrong answer.

In our chart

The Part of Fortune is listed in the points table and shown on the wheel with the points toggle, drawn as the letters PF. It moves with the Ascendant, about a degree every four minutes, but our data give it no speed of its own, so an applying or separating label would be wrong; in the research two in three such labels were. It therefore takes no aspects. Its other names are the Lot of Fortune and Pars Fortunae, the first of the so-called Arabic parts; we compute no other lot.

Correspondences

Each item with how it stands: “sourced” is in the work cited, “our construction” is EsoTerrier’s own, and “disputed” means the sources disagree.

Ptolemy's formula
The day formula "both by night and day"; "a lunar horoscope or ascendant" (Ashmand, 1822, Book III ch. XIII) sourced
Lilly's formula
One formula by day or by night (1647, Book II ch. XXIII) sourced
Valens's formula
Reversed at night sourced
One correct formula
Both are conventions, used side by side for two thousand years disputed
Hellenistic reading
A second ascendant, for the body and for circumstances sourced
Later readings
Read chiefly for worldly goods by Lilly and others; left out here sourced

How the schools read it

Ptolemy (2nd century CE)
The same formula by day and night; a lunar ascendant.
Valens and Dorotheus
Reversed for night births.
Lilly (1647)
One formula, either by night or by day.
astro.com default
Reversed at night; it notes that Ptolemy and much older software did not.
EsoTerrier
Reversed at night, day or night by the Sun's altitude, the formula named; no aspects.

Claims about it

  • The Part of Fortune is always Ascendant plus Moon minus Sun.

    disputed

    What the record shows: Valens and Dorotheus reversed the formula for night births, and astro.com does by default. Both are conventions; we reverse at night and name the formula used.

Elsewhere on EsoTerrier

Sources

Primary texts (4)
  1. Claudius Ptolemy; tr. J. M. Ashmand, Ptolemy's Tetrabiblos, or Quadripartite: being four books of the influence of the stars, translated by J. M. Ashmand (from the paraphrase of Proclus). Davis and Dickson, London, 1822. Public domain; quoted briefly. archive.org/details/b29293066
  2. Vettius Valens; tr. Mark T. Riley, Vettius Valens, Anthologies, translated by Mark T. Riley (preliminary translation, released 2010). Skyscript (hosting the author's PDF), 2010. The translator's copyright; facts and chapter references only. skyscript.co.uk/valens_riley.html
  3. Dorotheus of Sidon; ed. David Pingree (1976); tr. Benjamin N. Dykes (2017), Dorotheus of Sidon, Carmen Astrologicum (Pingree's 1976 Teubner edition of the Arabic version with Greek and Latin fragments; Dykes' 2017 translation of 'Umar al-Tabari's Arabic, Cazimi Press). Teubner, Leipzig; Cazimi Press, Minneapolis, 1976. In copyright; facts and chapter references only. cambridge.org/core/journals/classical-review/article/pingreedavid-dorothei-sidonii-carmen-astrologicum-pp-xx-444-leipzig-teubner-1976-cloth/2AAE046FFCF84AFF7B3C2F752F55BCFA
  4. William Lilly, Christian Astrology, modestly treated of in three books. Thomas Brudenell for John Partridge and Humphrey Blunden, London, 1647. Public domain; quoted briefly, from the 1647 edition. archive.org/details/b30338724
Studies and other sources (2)
  1. Astrodienst AG, Astrodienst (astro.com) chart defaults and FAQ pages: style defaults, aspects and orb tables, calculations (Part of Fortune), extra factors (Lilith), settings (orbs of points), house systems. Astrodienst, Zurich, 2026. Consulted for facts; never copied. astro.com/faq/fq_fh_calc_e.htm
  2. Wikipedia contributors, Wikipedia: Hellenistic astrology. 2026. CC BY-SA; consulted for facts. en.wikipedia.org/wiki/Hellenistic_astrology
Our own research (4)
  1. EsoTerrier, Natal and sidereal wheels: research for the rebuild (README, report-main.md, notes/). Research folder 2026-10-11-natal-sidereal, 2026.
  2. EsoTerrier, Helper report: validation of the natal chart engine (tropical and sidereal). Validation report, 2026-10-11, 2026.
  3. EsoTerrier, EsoTerrier chart engine: services/chart/ephemeris.py, calculation.py, jyotish.py, texts.py. python/esoterrier, services/chart, 2026.
  4. EsoTerrier, EsoTerrier app: resources/js/support/natal.ts and components/Chart/NatalChartTropical.vue. The chart component in our app, 2026.

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By EsoTerrier. Written with AI assistance from our research and checked against its sources; last revised 20 October 2026. How we write these pages.

First published ; last revised . Corrections: support@esoterrier.com.