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The Müller Formula (or: Predictable Color Preferences)

More than half a century ago, Aemelius Müller, professor at the academy of Winterthur, Switzerland, came up with a formula that could predict the appreciation of a color-combination. In other words: Müller was able to predict which combination of colors most people would probably like.

muller1.jpgMüller's formula predicts that these color-combinations will be considered as ugly by most people. muller2.jpg



While these will be liked. How is this possible? hueslr.jpg






First we need to consider the 'natural' brightness of the colors of the color circle, as discussed in this post. You will notice that yellow, for instance, is a lot brighter than blue.brightness_lr.jpg








On a scale from 1 to 100, bright yellow has a brightness value of 90, while bright blue has a value as low as 35. Likewise, every hue in the color circle has its own 'natural' brightness.







mullerbl3.jpgNow take this combination. All three colors have the exact same hue of blue. The only difference between the colors is their brightness.





Now we pair the last combination with the 'ugly' combination on the left and the 'nice' combination on the right. mullerbl.jpg








See what happened? Towards the 'ugly' (left) side the dark blue shifted to a greener hue, while the bright blue shifted to a more purple hue. This is contrary to the 'natural' brightness of the colors. After all, if you check the color circles you will see that green is much brighter than purple. Towards the 'nice' (right) side the dark color shifted to purple while the bright color shifted to green. This shift is in accordance with the 'natural' brightness of the colors.
The same goes for the red combinations. Towards the 'ugly' side the colors shift contrary to the 'natural' brightness while on the 'nice' side they shift in accordance with the natural brightness.
mullerbr.jpg







So here's the simple formula: If a combination follows the natural brightness of colors, most people will like it, if a combination contradicts the natural brightness of colors, most people won't like it.

There is some dispute in academia whether or not to interpret the 'nice' color combinations as good taste. The obvious implication being that the 'ugly' combinations are of bad taste. I myself tested the formula on many occasions when lecturing a group of people. It never fails and it's always fun to confront people with the predictability of their taste. But I also noticed that people in creative professions, such as artists or designers, often tend to like the 'ugly' combinations. Because people in this group often lay claim to 'good' taste, in my opinion the 'taste' hypothesis doesn't hold. As far as I'm concerned no one can lay claim to good taste. People like it or they don't. Good or bad taste is a non issue.
However, while Müller's formula may not determine the difference between good or bad taste, it sure does predict common taste. And that makes the formula quite useful for any designer.

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Comments (7)

Thanks for that, an interesting article and something I'd not considered before.

manekineko:

Is there some kind of study with measurables that shows this process accurately predicting common taste?

If so please link it

I would also be interested in a study if one is available.

I would also like to ask if you have any suggestions for reading material. I'm a novice at best (programmer at heart), but would be interested in either basic or advanced material on this formula. Sounds interesting and like something worth investigation.

Igor:

As far as I'm aware, there hasn't been published much about the Muller formula. I learned about it years ago, when attending a lecture by professor Werner Spillmann of the University of Winterthur. Spillmann presented a paper in 1985 explaining Muller's theory and expanding on it by proposing a nearly mathematic formula to actually compute color taste. It is kind of eery to actually see the formula at work because you never expect your taste to be so predicatable.
BTW: I looked up Spillmann's paper and he mentions Arthur G. Abott, a US scholar who brought forward more or less the same theory only a few years later, in 1947.

Eric from Finland:

Hello Igor, interesting subject here. Maybe there is some deep evolutionary link in why people generally like certain color combinations better then others. Would be interesting to know if the predictably nice color combinations tend to appear more in healthy things like for example fresh fruit, healthy people's complexion, a forest after a rainshower...
With respect to the taste of people like you that professionally work with color: probably these people are more interested in the meaning that is conveyed in the dynamics of color and 'ugly' color combinations are as meaningful and expressive as the pleasant ones. That's why they are ugly I guess.

Igor:

Eric,
Your suggestion of evolution at work sounds plausible to me. Seems like a good angle for future research....

Glad to learn about professor Müller. I can tell a lot of work went into its preparation. Very enjoyable -- congratulations.

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This weblog is an attempt to transmit some of 20+ years of professional color experience.
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This page contains a single entry from the blog posted on August 28, 2007 10:04 PM.

The previous post in this blog was Backlight.

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