Home Back

Cie 1931 Color Space Calculator

CCT Formula:

\[ CCT = \frac{1000}{[0.23858896 - 0.71739816x + 0.9869929x^2] / [1 - 2.025346x + 1.036424x^2]} \]

(0-1 range)

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is CIE 1931 Color Space?

The CIE 1931 color space is one of the first mathematically defined color spaces, created by the International Commission on Illumination (CIE) in 1931. It maps human color perception in terms of x and y chromaticity coordinates.

2. How Does the Calculator Work?

The calculator uses the following formula to calculate Correlated Color Temperature (CCT):

\[ CCT = \frac{1000}{[0.23858896 - 0.71739816x + 0.9869929x^2] / [1 - 2.025346x + 1.036424x^2]} \]

Where:

Explanation: This equation approximates the relationship between chromaticity coordinates and color temperature in the CIE 1931 color space.

3. Importance of CCT Calculation

Details: Correlated Color Temperature is crucial in lighting design, photography, display calibration, and color science applications to quantify the color appearance of light sources.

4. Using the Calculator

Tips: Enter the x-coordinate value from CIE 1931 color space (between 0 and 1). The calculator will return the correlated color temperature in Kelvin.

5. Frequently Asked Questions (FAQ)

Q1: What is the valid range for x coordinate?
A: The x coordinate in CIE 1931 typically ranges between 0 and 1, though practical values for real light sources are more constrained.

Q2: How accurate is this calculation?
A: This is an approximation that works well for most practical purposes, though very high or low color temperatures may have reduced accuracy.

Q3: What's the relationship between CCT and color appearance?
A: Lower CCT values (2000K-3000K) appear warm/yellowish, while higher values (5000K+) appear cool/bluish.

Q4: Can I calculate CCT from xyY color space?
A: Yes, this calculator uses the x coordinate from xyY (CIE 1931) space to calculate CCT.

Q5: What about the y coordinate?
A: For complete color space calculations, both x and y are needed, but this particular CCT formula only requires the x coordinate.

Cie 1931 Color Space Calculator© - All Rights Reserved 2025