Episode 56 ~2:10 MV Switchgear EN · العربية

The CIE 1931 chromaticity diagram

Pioneered by CIE in 1931 from colour-matching experiments, the (x,y) diagram remains the universal map of visible colour. The horseshoe boundary is monochromatic light. The Planckian locus is the path of black-body radiation, where every CCT lives. MacAdam ellipses define how much chromaticity error the eye can detect. LED binning is judged inside those ellipses.

Animated explainer, press play to watch the concepts now; the filmed cut publishes once production wraps.

What you'll walk away with

Four ideas to carry into the next specification conversation you have.

01

Horseshoe = visible spectrum.

The curved boundary plots monochromatic wavelengths from 380 to 780 nm. Inside the horseshoe = every colour the eye can perceive.

02

Planckian locus = CCT line.

A curved line crossing the diagram. Every point on it is a black-body temperature. Where 2700K, 4000K, 6500K live.

03

MacAdam ellipses = tolerance.

A 1-step ellipse is just-noticeable. A 3-step ellipse is what premium LED binning uses (SDCM ≤ 3). 7-step = visibly different lamps.

04

Duv = how far off the locus.

Positive Duv = greenish. Negative Duv = pinkish. EP11 covered green–magenta shift; this is where it lives on the chart.

Reading the CIE 1931 diagram

Key zones, points, and tolerances every lighting designer should recognise.

Feature Where on chart Meaning
Spectrum locusOuter curved boundaryPure monochromatic light
Purple lineStraight bottom edgeNon-spectral magentas
Planckian locusCurve through centreBlack-body radiator CCT path
White point D65x=0.313, y=0.329Daylight 6500K reference
White point Ax=0.448, y=0.407Incandescent 2856K reference
3-step MacAdamSmall ellipse on locusPremium binning target
7-step MacAdamLarge ellipse on locusCheap fluorescent / poor LED

Why the diagram still matters

Five reasons CIE 1931 dominates LED specification almost a century later.

It is the basis of every CCT spec.

When a datasheet says 4000K, what it really means is: this lamp's chromaticity falls within a defined ANSI quadrangle around the Planckian locus at 4000K. The chart defines the rules.

Binning is just sub-dividing the chart.

An LED 'bin' is a small rectangular zone on the CIE diagram. Premium binning = 3-step MacAdam ellipse. Loose binning = 5- or 7-step. Two lamps from different bins won't match on a wall.

Duv is measured from the chart.

Duv is the perpendicular distance from a point to the Planckian locus on the (u',v') diagram. Positive = green tint, negative = pink. ANSI C78.377 allows ±0.006.

Gamut triangles for displays live here too.

sRGB, DCI-P3, Rec.2020 are all triangles on the CIE diagram. The bigger the triangle, the more colours a display can show. Same physics.

LED tunable-white moves along the locus.

A tunable-white luminaire mixes 2700K and 6500K LEDs. Its operating point traces along the Planckian locus as you dim/tune, a curve you can plot on the chart.

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