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Natal Chart (Tropical) · Aspect 4 of 5

The trine, a third of the circle within one element

A trine is the aspect of two bodies about 120° apart, a third of the circle, four signs apart and so in the same element. Ptolemy counts it harmonious; the tradition reads it as the easiest flow between two bodies, with complacency as its modern shadow.

A circle with two points 120° apart on its rim joined by a chord, the arc between them marked 120°, and the trine glyph beside it. 120° Trine
The trine: two bodies 120° apart along the zodiac, a third of the circle. Our drawing.

Facts

Angle
120°, a third of the circle
Signs apart
Four signs apart, same element
Ptolemy's class
Harmonious
Modern class
Soft or easy
Our orb with the Sun or Moon
10°
Our orb otherwise
8°
Our orb to a point
Half: 5° with the Sun or Moon, 4° otherwise (Chiron, the North Node, the Ascendant, the Midheaven)
Marked exact
Within 0.25°
Glyph
△︎ (U+25B3)

Meaning

A trine is a third of the circle, the side of an equilateral triangle drawn inside the zodiac. Counted by signs it joins signs four apart, which always share their element: Aries, Leo and Sagittarius; Taurus, Virgo and Capricorn; and so on round the four triangles. Ptolemy's triplicities, with their lords, are the same triangles, and Valens names them by element. He counts the trine harmonious, the greater of the two easy aspects.

The tradition reads the trine as the easiest connection between two bodies: natural talent, support, things that come without effort. Modern astrology calls it soft, and names its shadow as complacency, ease that is never put to use. Our readings call it ease, never good fortune.

Our orbs

We allow 10° when the Sun or Moon is in the pair and 8° otherwise, and half that to Chiron, the North Node and the angles. A trine within a quarter of a degree is marked exact. Our chart draws trines with long dashes, sextiles with short ones, so that soft aspects show by pattern as well as by colour.

A trine can also be "out of sign", 120° by degree between signs that are not four apart, when one body sits at the end of a sign and the other at the start of one; we count it by degrees, as most tools do, while CHANI and the whole-sign schools would not.

Other schools

Kepler, in his Harmonices mundi of 1619, built the aspects on the ratios of the circle and kept the trine among them. The idea that each aspect is a musical interval, the trine a fifth, is a modern table, not his or Ptolemy's. In Jyotisha, Jupiter's special aspects fall on the fifth and ninth signs from it, the trines counted by sign.

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.

Angle (Ptolemy)
120° sourced
Class (Ptolemy, in Ashmand)
harmonious sourced
Modern class
soft or easy sourced
A musical interval
A modern table; Kepler built aspects on harmonic ratios in 1619, Ptolemy on halves and thirds of the circle disputed
Invented by Ptolemy
No: in use before him; "Ptolemaic" records his later authority disputed
One standard orb
No: orbs differ by school disputed
Our orbs
10° with the Sun or Moon, 8° otherwise, half to the points our construction

How the schools read it

Ptolemy (2nd century CE)
Harmonious: it joins signs of the same kind.
astro.com default
10° for every pair, points at half.
astro.com classical style
Orbs by planet: luminaries 9°, Mercury, Venus and Mars 7°, the outer planets 5°.
CHANI
Aspects counted by whole sign, not by degree.
Kepler (1619)
Built the aspects on harmonic ratios and added the quintile, biquintile and sesquiquadrate.
Jyotisha
No aspects by degree: each graha aspects the seventh sign from it, and Mars, Jupiter and Saturn further signs.
EsoTerrier
10° with a luminary, 8° otherwise; applying or separating; called easy.

Claims about it

  • Ptolemy invented the five major aspects, which is why they are called Ptolemaic.

    disputed

    What the record shows: He lists the configurations, but the aspects were in use before him and Valens uses them without crediting him; "Ptolemaic" records his later authority, not an invention.

  • One set of orbs, such as 10° for every aspect, is the standard.

    disputed

    What the record shows: Orbs differ by school: Lilly gave each planet its own; astro.com's default is a flat 10°, 6° for the sextile; others scale by planet; CHANI counts by sign. Ours are printed with every chart.

  • Each aspect is a musical interval, and the aspects come from the monochord.

    disputed

    What the record shows: Ptolemy derives the aspects from halves and thirds of the circle and calls the trine and sextile harmonious because they join signs of the same kind; Kepler built them on harmonic ratios in 1619. The aspects came first, and the table of intervals is a modern construction.

Elsewhere on EsoTerrier

Sources

Primary texts (5)
  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. 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
  4. Johannes Kepler, Harmonices mundi libri V. Linz, 1619. Public domain. en.wikipedia.org/wiki/Harmonice_Mundi
  5. Alan Leo (William Frederick Allan), Astrology for All, to which is added a complete system of predictive astrology for advanced students. Modern Astrology Office, London, 1899. Public domain; quoted briefly. archive.org/details/bub_gb_8CwSAAAAYAAJ
Studies and other sources (3)
  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. CHANI, CHANI: What whole sign houses are and why we use them; CHANI help: aspects used in the app. 2026. Consulted for facts; never copied. chani.com/astro-education/what-whole-sign-houses-are-and-why-we-use-them
  3. Wikipedia contributors, Wikipedia: Astrological aspect. 2026. CC BY-SA; consulted for facts. en.wikipedia.org/wiki/Astrological_aspect
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, EsoTerrier chart engine: services/chart/ephemeris.py, calculation.py, jyotish.py, texts.py. python/esoterrier, services/chart, 2026.
  3. EsoTerrier, EsoTerrier app: resources/js/support/natal.ts and components/Chart/NatalChartTropical.vue. The chart component in our app, 2026.
  4. EsoTerrier, Knowledge layer shared topics: _shared/zodiac and _shared/planets (accuracy pass, 2026-10-13). Knowledge layer, shared topics, 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.