Free calculatorLive resultsSteps and sourcesEmbed on your site, free

Astro Compatibility Calculator

Zodiac Sign Compatibility Calculator works out Canonical pair key and Separation between the signs from Comparison method, First sign and Second sign. The default figures on this page give classical aspect of Semi-sextile; change any entry and the result, the working and the sources update together.

Classical aspect
Semi-sextile
Zodiac Sign Compatibility Calculator
Canonical pair key
aries|taurus
Separation between the signs
30 degrees
Ptolemaic relationship
Disjunct - no Ptolemaic configuration
Element relationship
Fire and Earth are of opposite polarity
Modality relationship
Cardinal and Fixed - different modes of action
Shared polarity
Positive (diurnal) with Negative (nocturnal)
Signs apart
1
Method used
zodiac_sign_pair (sun-sign geometry only)
Compatibility narrative status
EDITORIAL_RUBRIC_REQUIRED
Interpretation status
EDITORIAL_RUBRIC_REQUIRED
Context
general
Worked out from Claudius Ptolemy, Tetrabiblos, Book I (translated F. E. Robbins, Loeb Classical Library 435) and 1 other source.
No compatibility percentage is produced. A percentage would imply a measured success rate, and none exists.
Sun-sign geometry ignores birth time and place. Full synastry between two complete charts is a different calculation.
Sign compatibility is an entertainment convention with no demonstrated predictive validity. Nothing here should be used to make a decision about a relationship.

Your figures

Updates as you type
Full synastry between two complete birth charts is a separate product; this engine does not blend the two methods.
Optional. Ecliptic longitude of the first person's planet or angle, for the composite midpoint.
Optional. Ecliptic longitude of the second person's planet or angle, for the composite midpoint.

How this is worked out

4 steps
  1. Canonical pair key: Aries and Taurus sorted by zodiac order give "aries|taurus".
  2. Aries is sign 0 and Taurus is sign 1, so they are 1 sign apart = 30 degrees.
  3. 30 degrees is the Semi-sextile: Disjunct - no Ptolemaic configuration.
  4. Fire and Earth are of opposite polarity; modality Cardinal vs Fixed.

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

2 sources
Claudius Ptolemy, Tetrabiblos, Book I (translated F. E. Robbins, Loeb Classical Library 435)
I.13 defines the familiar configurations (opposition, trine, quartile, sextile) by the number of signs separating them; I.14-17 give the commanding/obeying, seeing and disjunct relationships between signs.
S. Carlson, "A double-blind test of astrology", Nature 318 (1985) 419-425
The controlled test that found no astrological effect. Cited so the engine can state plainly that these configurations have no demonstrated predictive value.

What the Zodiac Sign Compatibility Calculator calculates

Canonicalises a pair of zodiac signs and returns the classical configuration between them - aspect, element, modality and polarity - plus the circular midpoint of two chart longitudes.

How to use this Zodiac Sign Compatibility Calculator

Enter Comparison method, First sign, Second sign and Context. Canonical pair key updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Canonical pair key, Separation between the signs and Classical aspect.

The method follows Claudius Ptolemy, Tetrabiblos, Book I (translated F. E. Robbins, Loeb Classical Library 435) and S. Carlson, "A double-blind test of astrology", Nature 318 (1985) 419-425.

Research case compat-pair-symmetric-a example

With First sign: Aries, Second sign: Taurus, Context: general, the calculator returns Canonical pair key: aries|taurus, Compatibility narrative status: EDITORIAL_RUBRIC_REQUIRED, Separation between the signs: 30. This example is checked against an independent source in the test suite.

What you can compare

Change one input at a time to see how it affects Canonical pair key, Separation between the signs and Classical aspect. The inputs you can vary are Comparison method, First sign, Second sign, Context, First chart longitude and Second chart longitude.

Understanding Canonical pair key, Separation between the signs and Classical aspect

Sign compatibility is an entertainment convention with no demonstrated predictive validity. Nothing here should be used to make a decision about a relationship.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

Preview

See something wrong? Report a problem with this calculator

Frequently asked questions

What information do I need for the Zodiac Sign Compatibility Calculator?

You need Comparison method, First sign, Second sign, Context, First chart longitude and Second chart longitude. The page opens with default figures that give classical aspect of Semi-sextile, so you can see the scale before entering your own.

What does this Zodiac Sign Compatibility Calculator show?

It shows Canonical pair key, Separation between the signs, Classical aspect, Ptolemaic relationship, Element relationship, Modality relationship, Shared polarity and Signs apart, with the working and any warnings for your entries.

Can I check how the Zodiac Sign Compatibility Calculator result was calculated?

Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.

Related calculators

View all related calculators9 more