Golden Ratio Face Calculator: Facial Thirds and Fifths

Compare your face with the classical proportion system: golden-ratio checks, vertical thirds, horizontal fifths, fWHR and midface ratio.

Free no signup478 landmarksOn-device no upload~3 s to result

Live scan demo0 / 478 points

Front-facing · neutral expression · even light

Add a selfie to begin

Method

How it works and the exact formula

The 'golden ratio face' idea combines two old proportion systems. The first is the golden ratio itself, φ ≈ 1.618, which Renaissance artists and later the Marquardt mask applied to facial lengths and widths. The second is the neoclassical canon of thirds and fifths: a face divided vertically into three equal parts and horizontally into five parts, each about one eye wide. Modern anthropometry, starting with Leslie Farkas's measurements of thousands of adults, shows that few real faces match these canons exactly, but they remain useful reference lines for describing proportions.

This calculator measures every ratio on your own face. MediaPipe Face Landmarker places 478 landmarks in your browser, we convert them to pixel space and rotate the face so your pupils are level, and then compute each ratio from specific anatomical points. Nothing is uploaded and no ratio is estimated by a black-box model: every number comes from a formula you can read below.

Vertical thirds run from the upper forehead (landmark 10, our trichion proxy) to the brow center (168), from the brow center to the base of the nose (2), and from the base of the nose to the chin (152). Each third is divided by total face length, so the ideal is 33% / 33% / 33%. Horizontal fifths run across the face at eye level: cheekbone edge to outer eye corner, the eye itself, the gap between the eyes, the other eye, and outer eye corner to the other cheekbone edge. Each fifth is divided by bizygomatic width; the ideal is 20% each.

On top of thirds and fifths we score the golden-ratio checks that hold up best in measurement: face length to width (practical target about 1.45 because landmark 10 sits below the true hairline), mouth width to nose width (target near φ), nose width to the gap between the eyes (target 1.0), eye spacing relative to face width, facial width-to-height ratio (fWHR) and the midface ratio. Each is turned into a 0–100 closeness score with a Gaussian curve, and the panel averages them into a single proportion match.

Formulas

Length-to-width: LWR = |L10 − L152| ÷ |L234 − L454| (target ≈ 1.45)
Thirds: upper = |L10 − L168| ÷ length, middle = |L168 − L2| ÷ length, lower = |L2 − L152| ÷ length
Fifths: sort x of [234, 33, 133, 362, 263, 454]; fifthᵢ = (xᵢ₊₁ − xᵢ) ÷ (x₄₅₄ − x₂₃₄) (target 0.20)
fWHR: fWHR = |L234 − L454| ÷ |L168 − L0| (target 1.8–2.0)
Mouth ÷ nose: |L61 − L291| ÷ |L102 − L331| (target ≈ 1.618)
Closeness score: score = 100 · e^(−½ · ((value − target) ÷ tolerance)²)

MediaPipe landmarks used

Anatomical point	Index	Role
Iris centers	468 / 473	Define the interpupillary line used to level the whole face before any ratio is computed.
Trichion (proxy)	10	Upper forehead; top of face length and the upper third.
Glabella	168	Brow center; boundary between upper and middle third.
Subnasale	2	Nose base; boundary between middle and lower third.
Menton	152	Lowest chin point; bottom of face length.
Zygion	234 / 454	Cheekbone width: denominator for length-to-width, fifths and fWHR.
Exocanthion / endocanthion	33, 133, 362, 263	Eye corners that split the face into fifths.
Alare	102 / 331	Nose width.
Cheilion	61 / 291	Mouth width.
Labrale superius	0	Upper lip top: bottom of the fWHR and midface heights.

Benchmarks

Proportion bands and how the scanner scores them

Proportion bands and how the scanner scores them
Metric	Band	Value range	Tool score	Modelled percentile
Length ÷ width	Balanced	1.38 – 1.52	88–100	94th–99th
Length ÷ width	Short / round	1.20 – 1.31	20–61	1st–52nd
Length ÷ width	Long / oblong	1.59 – 1.70	20–61	1st–52nd
fWHR	Typical	1.80 – 2.00	86–100	93rd–99th
fWHR	Narrow	1.55 – 1.72	15–61	1st–52nd
fWHR	Broad	2.08 – 2.25	15–61	1st–52nd
Midface ratio	Compact	0.95 – 1.05	82–100	89th–99th
Midface ratio	Long midface	0.82 – 0.92	8–61	1st–52nd
Mouth ÷ nose	Classical	1.45 – 1.70	79–100	85th–99th
Eye spacing	Balanced	0.44 – 0.48	80–100	87th–99th
Thirds deviation	Balanced	0% – 6%	51–100	31st–99th
Thirds deviation	Uneven	10% – 20%	11–33	1st–7th

Thirds deviation is the sum of each third's distance from 33.3%. Percentiles are modelled from the reference distribution our scorer uses (scores are mapped through a normal curve, mean 60, SD 18), not from a database of user faces. We don't build one: selfies are deleted within 2 hours and free scan results after 48 hours.

Styling

Styling and virtual try-on by result

Proportions describe where the eye travels on your face. Styling cannot change the measurement, but it changes which lines dominate, which is what people actually perceive.

Long upper third

Curtain bangs, a soft blunt fringe or a textured forward fringe shorten the forehead visually. Avoid slicked-back or very high-volume styles that add height.

Try fringe styles on your photo

Long middle third

Fuller brows and frames with a strong top line or a lower bridge sit across the midface and break up its length. Thick acetate frames work better than rimless.

Find frames for your midface

Long lower third

Volume at jaw level (lobs, chin-length bobs) or a short boxed beard balances a long lower face. Open necklines like V-necks lengthen it further, so prefer crew, boat and cowl necks.

See balancing necklines

Length-to-width above 1.55

Add width: side volume, waves, horizontal necklines such as boat and square necks, and wide frames. Avoid tall quiffs and long straight hair with a center part.

Read the oblong-face guide

Length-to-width below 1.31

Add vertical lines: height at the crown, long layers that start below the chin, deep V necklines and frames slightly wider than they are tall with angular corners.

Confirm your face shape

Uneven fifths

Wide-set eyes (large center fifth) look closer with a darker, thicker bridge; close-set eyes open up with a clear or keyhole bridge and lighter inner-corner makeup.

Match a bridge to your spacing

Golden Ratio Calculator: frequently asked questions

What is the golden ratio of the face?

It is the idea that ideal facial proportions follow φ ≈ 1.618, for example that face length is about 1.6 times face width or that mouth width is about 1.6 times nose width. Studies such as Holland (2008) and Rossetti et al. (2013) found the golden ratio is a poor predictor of attractiveness on its own, so we use it as one reference among several rather than a single score.

How do I calculate facial thirds?

Measure from the hairline to the brow center, from the brow center to the base of the nose, and from the base of the nose to the bottom of the chin, then divide each by the total. The calculator does this from landmarks 10, 168, 2 and 152 after levelling your face. Note that landmark 10 sits slightly below the true hairline, so our upper third reads a little short.

What is the rule of fifths for the face?

The face at eye level should be about five eye-widths wide: one eye width from each cheek edge to the outer eye corner, each eye, and one eye width between the eyes. Real faces vary by a few percent per segment; the calculator shows your five segments and their deviation from 20%.

What is a good golden ratio score?

On our proportion match, 75% or more means most ratios sit inside their reference bands. Very few faces exceed 90%. A lower score usually comes from one or two ratios, which is useful information for styling rather than a judgment.

Is the golden ratio face test accurate?

The measurements are precise and repeatable on a frontal photo because every number comes from fixed landmarks. Whether the golden ratio itself describes beauty is a separate question, and research says only loosely. Use the results to understand your proportions, not to rank your looks.

What does fWHR mean on a golden ratio report?

Facial width-to-height ratio is cheekbone width divided by the distance from the brow to the upper lip. Typical adult values are about 1.8 to 2.0. Higher values read broader; research by Carré and McCormick linked higher fWHR to perceptions of dominance.

Can makeup or hair change my facial proportions?

They cannot change the measurement, but they change perception. Contour, brow placement, fringes and frame lines all add new horizontal and vertical lines that the eye reads as boundaries, which is why the styling section below is organized by which third or fifth is longest.

References

Farkas LG (1994). Anthropometry of the Head and Face (2nd ed.). Raven Press, New York.
Holland E (2008). Marquardt's Phi mask: pitfalls of relying on fashion models and the golden ratio to describe a beautiful face. Aesthetic Plastic Surgery 32(2):200–208.
Rossetti A, De Menezes M, Rosati R, Ferrario VF, Sforza C (2013). The role of the golden proportion in the evaluation of facial esthetics. The Angle Orthodontist 83(5):801–808.
Carré JM, McCormick CM (2008). In your face: facial metrics predict aggressive behaviour in the laboratory and in varsity and professional hockey players. Proceedings of the Royal Society B 275:2651–2656.
Kartynnik Y, Ablavatski A, Grishchenko I, Grundmann M (2019). Real-time Facial Surface Geometry from Monocular Video on Mobile GPUs. CVPR Workshop on Computer Vision for AR/VR.

Keep exploring

Related free tools and guides

Free tool