May 13, 2012

Phi and the TetraGrammaton


Golden ratio relationships in the Name of G-d in the Hebrew Bible

In Gematria, the most holy name of God, referred to as the Tetragrammaton, embodies some very interesting Golden Ratio relationships.

Gematria is a system of assigning numerical value to a word or phrase. It is likely that the term derives from the order of the Greek alphabet, gamma being the third letter of the Greek alphabet (gamma + tria) or from Greek geōmetriā, “geometry.” Although apparently derived from Greek, it is largely used in Jewish texts, most notably in those associated with the Kabbalah, a set of teachings meant to explain the relationship between an eternal and mysterious Creator and the mortal and finite universe (His creation).

The Tetragrammaton, meaning “[a word] having four letters”, refers to the name of the God of Israel as YHWH (Hebrew: י-ה-ו-ה‎) that appears 6,828 times the Hebrew Bible, the first of which is in Genesis 2:4, which says, “4 This is the account of the heavens and the earth when they were created.
When the Lord God made the earth and the heavens–.”  The letters, properly read from right to left, are:

Hebrew Letter name Phonetic Sound
י Yud “Y”
ה Hey “H”
ו Vov “V”
ה Hey “H”


These four letters are usually transliterated from Hebrew as IHVH in Latin, JHWH in German, French and Dutch, and JHVH/YHWH in English. This has been variously rendered as “Yahweh” or as “Jehovah”, based on the Latin form of the term, while the Hebrew text does not clearly indicate the omitted vowels. In English translations, it is often rendered as “the Lord”, following Jewish tradition which reads the word as “Adonai” (“Lord”) out of respect for the name of God and the interpretation of the commandment not to take the name of God in vain.

The Connection to Phi and the Golden Ratio

The gematria values of the four letters in the Tetragrammaton (Yud – Hey – Vov – Hey) are 10, 5, 6 and 5.  This indicates the importance of the number 5 in this Holiest Name of God. Yud has a gematria value of 10. Vov has a gematria value of 6, which creates various ratios within this name of God:

Hebrew Letters Ratio Decimal
Yud / Vov = 10 / 6 = 1.666
Vov / Yud = 6 / 10 = 0.600
(Yud + Vov) / ( Hey + Hey) = 16 / 10 = 1.600
( Hey + Hey) / (Yud + Vov) = 10 / 16 = 0.625


As Phi and it’s reciprocal phi are 1.618 and 0.618, respectively, we see that this Holy Name of God intrinsically represents a set of ratios that reflect the golden ratio, or the Divine proportion, that we see all throughout His creation.

The Hebrew word for “when they were created” is BeHebaram. This word can be divided to also say “With ‘Hey’ were they created”, which suggests the importance of the number five in the creation of mankind.

The Hebrew Bible says that The Holy One created man “in the image” of G-d.  The Hebrew word “in the image” is made up of 4 letters – Bet, Tsadi, Lamed, and Mem.

Hebrew Letters Value
Bet 2
Tsadi 90
Lamed 30
Mem 40
Total 162


This too creates a close representation of Phi at 1.62 to three decimal places.

Thanks to Yosi Spater for his contribution of the golden ratio relationships in the Tetragrammaton and Jewish scriptures about creation, and to Wikipedia for other information on this page..

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{ 5 comments… read them below or add one }

ehf June 18, 2012 at 10:29 pm

Excelente información esto confirma la belleza del Nombre Divino YHWH /Jehová


Don Lively March 19, 2013 at 9:55 pm

Shalom. This is a wonderful site.
Cursorily, “btselem” uses a mem-sofit (final mem), whose value is 600, giving a total (head calculating, which could be off) of 722.
There are a couple trusted excellent texts on this type of gematria. R’Yitzhack Ginsburgh’s books on hebrew aleph-beth (www.inner.org), and acceptable amongst the most orthodox of traditionalist Jewish kabbalists and Carlo Suare’s “The Qabala Trilogy” (the 3 books detail “Genesis”/Bereshith, Song of Songs/Shir haShirim, & the ever elusive Sefer Yetsira). As the spelling signifies his works are of a more wesoteric (western hermetical) vein and thus not officially accepted amongst mekabulim, yet they provide insights the Ruach haKodesh seems to have whispered through him.
I will be visiting this site frequently during my studies. I’m surprised it just came to my attention during my long journey but that’s how it goes in this wonderful travel towards the ever-receding horizon for truth and light.
Thank you again.
Kol tuv,
R’Don Lively


Rex May 20, 2013 at 5:09 pm

In the scriptures God told Moses his name was
אֶהְיֶה אֲשֶׁר אֶהְיֶה

Ehyeh asher ehyeh

which literally translates as “I Will Be What I Will Be..referred more commonly as “I AM That I AM” or the Tetragrammaton YHWH…(YaHWeH) the name so revered by the Israelite s they did not say it.

The Hebrew letters for Gods name sum to 543.Mirrored numbers (numbers in reverse order) are very significant .In this case the mirror of 543 is Moses (מֹשֶׁה)name which sums to 345

add together :

What is the significance of this?In Greek Jesus (Iesous)is Ἰησοῦς and christ(christos) is Χριστός .

The letters of Ἰησοῦς sum to 888
The letters of Χριστός sum to 1480




3:4:5 is the Pythagorean right triangle :


In relationship to the Fn and Phi.


which is the same as

It is not a coincidence that in Revelation 14:1 one verse after Revelation 13:18(there were no chapter breaks in the scripture) that the number of the beast and man(the beast of man) is 666 (Fn3/Fn4 …2/3=.666 also)and the number of the 1st fruits is 144 thousand.The number thousand in this case means Phi/phi which Phi/phi in the Greek alphabet(which happens to be the 21st letter =Fn8) is 500..Phi500+phi500=1,000)…..
this is where Phi/phi stabilizes at 618 for infinity.

Gods fingerprint is on everything and hidden in plain sight.


Rex May 20, 2013 at 6:53 pm

I wanted to ad to this
Hebrew Letters Value
Bet 2
Tsadi 90
Lamed 30
Mem 40
Total 162

This too creates a close representation of Phi at 1.62 to three decimal places.
162 is significant in that is “sums”exactly to Phi through other methods
162 sine= 0.309016994374948

so does but neg
612cosine= -0.309016994374948
198sine= -0.309016994374948
918sine= -0.309016994374948

0.309016994374948 x2=0.618,033,988,749,895 phi

..and here’s just a plain weird “non coincidences”
162 inverse is 261
9-18 is the 261st day of the year
notice all 4 numbers are divisible by 9… 162 being unique in that squaring and cubing 162 and dividing by 9 reduces to
the reduction sums


Alexander Richter February 22, 2014 at 2:41 am

If someone here’s seriously into Gematria, give some attention to Trigrammaton, it will blow your mind and make things clearer, about what’s going on in this place and how this task we call life works.


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