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You are here: Home / Design/Art / Golden Ratio Relationships in Color

Golden Ratio Relationships in Color

May 9, 2012 by Gary Meisner 19 Comments

Phi relationships in a color spectrum produce rich, appealing color combinations

Michael Semprevivo has introduced a concept called the PhiBar, which applies phi relationships to frequencies, or wavelengths, in the spectrum of visible colors in light.  Colors in the spectrum that are related by distances based on phi or the golden section produce very rich and visually appealing combinations.

This is illustrated below on the screen shot of his PhiBar program.  You can experiment with the PhiBar program, written in Visual Basic.

Note:  This program is made available by Michael Semprevivo for free for non-commercial use only.  The PhiBar.exe program was scanned with Norton’s Antivirus program on 03/01/2003 using current virus definitions and found to be virus free but no express or implied warranties are given with respect to its use.

The PhiBar produces color combinations of the Tabernacle as described in the Bible

Using the PhiBar program above, J.D. Ahmanson discovered that it produces the colors that the Bible says God gave to Moses for the construction of the Tabernacle.  As it says in Exodus 26:1, “Make the tabernacle with ten curtains of finely twisted linen and blue, purple and scarlet yarn, with cherubim worked into them by a skilled craftsman.”  This reference to the combination blue, purple and scarlet in the construction of the tabernacle appears 26 times in Exodus 25 through 39, describing the colors to be used in the curtains, waistbands, breastpieces, sashes and garments.

Set the primary color of the PhiBar to blue, the secondary color of the PhiBar to purple and the Phi color is scarlet, as illustrated below:

The blue, purple and scarlet colors in the Tabernacle of the Israelites are based on phi or golden ratio relationships in color, as shown by PhiBar software

PhiMatrix software produces a rich color palette based on the Golden Ratio relationships of two colors

A more extensive color palette generator in included in PhiMatrix software, which produces a broad range of colors based on golden ratio relationships between two user selected colors and selected HSV saturation and HSV value options:

Filed Under: Design/Art

Comments

  1. Dan Rods says

    June 22, 2012 at 5:32 pm

    Interesting tool for independent reseach, I look forward trying it!

    Reply
  2. D says

    June 30, 2012 at 11:22 am

    Please contact me for further discussion of Phi and the tabernacle

    Reply
    • William Robson says

      April 10, 2017 at 3:32 am

      Hi D. Please message me https://www.facebook.com/william.j.m.robson

      Reply
  3. Deb Krekic says

    November 3, 2012 at 4:27 pm

    “Energize” – The sound made on Star Trek…I’m going to see if your Phi Bar program can tell me the colors it equates to. And I would love know more of your research re the Tabernacle.

    Reply
  4. Alex says

    January 10, 2013 at 11:04 pm

    Wow!! this is very peculiar indeed. I have never thought of that.So Phi is a very important formula in everything that surround us,Well have you studied lightspeed and gravity in relation to this phenomenon? From that understanding,what can we deduce regarding the Biblical number 666? Thanks for enlightening me but can you be more simplified?

    Reply
  5. lisa williams says

    December 20, 2013 at 10:42 am

    mindblowing
    want to explore this in a painting

    Reply
  6. Sue says

    March 28, 2014 at 8:28 pm

    Is there some instruction? Using the golden means?? Thanks

    Reply
  7. Sasa says

    September 6, 2014 at 1:41 am

    New Golden ratio color tools made in AngularJS
    http://bootstrap-themer.smiko.info/tools/

    Reply
  8. priti says

    November 15, 2014 at 12:44 pm

    How does phi ratio works with zodiac moon signs pl if u enlight

    Reply
    • Gary Meisner says

      November 15, 2014 at 9:27 pm

      There may be no relationship, as the zodiac is based on divisions of 12 and not the golden ratio. Thoughts from anyone else?

      Reply
  9. Glenn Westmore says

    September 25, 2016 at 9:34 am

    Very interesting! I experimented with a playful way to interrelate colours and numbers: by using basic arithmetic to determine a relationship between colours and numbers, each of the numbers 1-24 is assigned a colour. Having this defined, we can create a graphic snapshot of a word, numbers and equations (up to a maximum of 24 characters that is). Take a look at the various pictures of φ, commencing with three decimal places: http://www.glennwestmore.com.au/pictures-of-phi/

    Reply
  10. Melvin says

    November 9, 2017 at 11:19 pm

    How can I relate this to my Christian Clothing Line name Phia Collection… the acronym P.H.I.A. Means Praising Him In Advance?

    Reply
  11. Thiru says

    January 7, 2018 at 9:43 pm

    Is it available for android

    Reply
    • Gary B Meisner says

      January 7, 2018 at 11:13 pm

      Sorry, but no. PhiBar is available for Windows and PhiMatrix is available for Windows and Mac.

      Reply
  12. John says

    August 31, 2020 at 5:17 am

    hello, I’m confused. The PhiBar as stated, applies phi relationships to frequencies, or wavelengths, in the spectrum of visible colors in light. And as what I have understand, the ratio is constant even to the other colors right? So what’s the deal with the said colors if the spectrum ratio is same with the others? Don’t judge me please , I’m just confused hehe.

    Reply
    • Gary B Meisner says

      September 2, 2020 at 1:21 am

      Perhaps your confusion is in “the ratio is constant even to the other colors.” It may be easier to see if you played with the program rather than looked at the image. The way it works is that you can move the two controls named “Main Select” and “Secondary Select” to ANYWHERE on the color spectrum. The indicator marked “Phi” then shows the color that is at the golden ratio point of the Main and Secondary select controls. So yes, the ratio between the two controls is constant, but the ability to move them anywhere on the spectrum and generate numerous sets of color palettes with golden ratio relationships in the colors is what makes it interesting and useful.

      Reply
  13. Peter says

    March 9, 2022 at 7:02 am

    I wonder how this can be applied to the invisible spectrum of light, because insects are able to see ultraviolet and infrared too. So I have a project now for this spring: I take my full spectrum camera and make some photos of plants and check them with the theory of the golden ratio.

    Reply
  14. ahihiw says

    November 3, 2022 at 3:10 am

    Bro where i could buy phimatric color palette?

    Reply
    • Gary B Meisner says

      November 14, 2022 at 11:56 am

      See https://www.phimatrix.com/download-1618-pro/, with details at https://www.phimatrix.com/golden-ratio-color-palette/.

      Reply

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