Another Ancient Dodecahedron i

Another Ancient Dodecahedron in Summeria

Another Ancient Dodecahedron in Summeria. Check the last blog. This same model applied to ancient Israel. The blog explains the parallel. This same figure explains our current musical circle of fifths. The dodecahedron is quite inclusive. Ancients ascribed the overall shape of the Universe to this figure. Click on my internal link below: Translating Geometry to Words and Numbers.  This link contains another internal link. Both also define the dodecahedron in antiquity.

Another Ancient Dodecahedron in Summeria
This shape was once thought to encapsulate the Universe.

Translating Geometry to Words and Numbers- link


Visiting Summeria For Another Ancient Dodecahedron


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Modern usage for dodecahedron in a playground.

The Summerians, like many cultures, had 12 gods. The Israelites also used the dodecahronal model. However, they substituted 12 tribes for the 12 deities. One God centered the whole system. In Summeria each god was assigned a number. The male deities had numbers 10,20, 30, 40, 50 and 60. The female deities were 5, 10, 15, 25, 35, 45, and 55. We have the following list:

  • Male deities: Ishkur/Adud was 10…. Utu/Shamash was 20… Nanna/Sin was 30…Ea/Enki was 4o…Enlil was 50…Anu was 60.
  • Female deities: Ninnhursag was 5…Iaanna/Ishtar was 15. ..Ningal was 25… Niaki was 35…Ninlil was 45…Antu was 55.

With our featured picture we have five numbers and a corresponding Summerian god pinned to each of the 12 pentagons.  In effect the numbers define the 5 vertices of each of the 12 pentagons.

Look at how varied the dates of its various uses are. The 12 primary key signatures of the circle of fifths became prevalent in the 18th century. It is still widely used. The dodecahedron’s parallel to the 12 tribes of Israel was officially established in Israel about 1,000 B.C. The 12 Summerian gods came about 4,000 B.C.

Ancient civilizations associated the simplest number square (3 X 3)  with Saturn. This number square has hidden codes not seen by most. That is my reference in the featured picture. It can be look at by 3 numbers at the time or by hundreds. It literally is the stamping mill of the Universe. Many blogs on this website are about this number square. Read my internal link below. Why all this fuss? Understanding this lost knowledge and its redeployment can initiate a new Golden Age. Such an age is marked by peace and plenty.

The Stamping Mill of the Universe – DSO Works

Translating Geometry into Words and Numbers

Translating Geometry to Words and Numbers

Translating Geometry to Words and Numbers. My advance scout for a number of my blogs about antiquity has been the Reverend John Michell. I was introduced to his writings in 1970.  It was The View Over Atlantis. The key is a subject that few have even heard of: “Gematria.” Hear is Wikipedia’s take on the subject. It offers some background for this blog.

Gematria /ɡəˈmtriə/ (Hebrewגמטריא‬ גימטריא‬, plural גמטראות‬ or גמטריאות‬, gematriot)[1] originated as an Assyro-Babylonian-Greek system of alphanumeric code or cipher.  Later adopted into Jewish culture.  It assigns numerical value to a word.  Names or phrases with identical numerical values  bear some relation to the number. This may apply to Nature, a person’s age, or even the calendar year.

Similar systems, many inspired by Hebrew gematria, have been used in other languages.  These include i.e. Greek isopsephy and Arabic abjad numerals.

An example of Hebrew gematria is the word chai  (life). It has two letters. They add up to 18. This has made 18 a “lucky number” among the Jewish people. Gifts of money in multiples of 18 are traditional for this reason.[2]

Translating Geometry- this book got me started on a lifetime journey
A must read book for anyone who wants to understand the curiosities of  the distant past.

Translating Geometry of the Dodecahedron

In Hebrew gematria the noun for “Israel” translates to 541. A regular pentagon has 5 vertexes of 108° each vertex. That totals 540°. The additional “1” in Israel  (541) יִשְׂרָאֵל represents the the core of Israel-  One God. Here is the process:

  • Each of the 12 tribes belong to Israel (541).
  • They each receive their own pentagon on the dodecahedron. This figure is one of the 5 Platonic solids.
  • There are the only 5 possible regular polyhedrons that can be constructed. All corners of these five must be tangent to a sphere’s surface. A sixth cannot be constructed.

Keep in mind: At one time many nations had 12 tribe cultures. Jewish tradition has kept it alive. Again, I refer to the Reverend John Michell. This time the book is the 12 Tribe Nations. Link is below. My contribution is illustrating Israel’s parallel to the dodecahedron. Also, below is my internal link of how our musical system relates to this same dodecahedron.

dodecahedron Archives – DSO Works

Twelve-Tribe Nations – Inner Traditions


TwelveTribe Nations explores the symbolism and use of the number twelve in organizing ancient societies, connecting this sacred number with the twelve …




Monstrous pianos have replaced earlier instruments.

Monstrous Pianos Replace Early Keyboard Instruments

Monstrous Pianos Replace Early Keyboard Instruments. The title of this blog poses a basic questions: How does a pianist interpret the music of composers who lived before 1850?  Or, expressed another way: How do we stay true to the intentions of composers who lived in this time period? In part this will be answered by the desciption of a concert I gave as pianist for a world renowned violinist. First, how does a harpsichord produce sound? A harpsichord is a musical instrument played by means of a keyboard which activates a row of levers that in turn trigger a mechanism that plucks one or more strings with a small plectrum. The harpsichord can produce a specific louder sound. This happens when a coupler joins each key to both manuals of a two-manual harpsichord.  However, it offers no dynamic or accent-based expressive control over each note.

How does a modern piano produce its sound? By strings being struck by the action of hammers.  Loudness of every tone can controlled by the fingers hitting the keys that activate the hammers. The more force you employ, the louder the sound. The tones produced can be blended and amplified by a foot pedal. However, here is the primary pitfall: Unless the pianist is incredibly precise in hitting  notes exactly together, the piano pedal merely amplifies his imprecision.

Steinway grand piano in the White House

I worked for 15 years with a violinist whose accompanists used the pictured piano above. My capacity was as his arranger and accompanist.  His stage name was Rubinoff and His Violin. He played for 5 American Presidents. I’ve played for only two up to this point. I just commemorated his memory in a concert at Circleville, Ohio this last June 2, 2018.  In the 1930’s Dave made as much as $500,000.00 annually as violinist and conductor.  For my own last concert, Maestro Steve Greenman was the featured violinist. Joseph Rubin is the curator of the Ted Lewis Museum.  He also  conducted the orchestra. As  mentioned in the poster, I also gave a featured lecture about our working relationship.  More concerts with Maestro Greenman are in the making. Announcements will be forthcoming.

Rubinoff and His Violin Archives – DSO Works

Image result for picture of Rubinoff concert on poster from Ted Lewis Museum on June 2, 2018
Rubinoff’s popularity as a violinist in the 1930’s was unparalleled in America up to that time
Image result for picture of Rubinoff concert on poster from Ted Lewis Museum on June 2, 2018
Myself seated at the grand.

No Monstrous Pianos for Rubinoff and His Violin

I brought the concert into the blog because Rubinoff was very specific about the touch he wanted. Rests had to be observed. His notated rests were not to be covered by a piano pedal. Often, he required a slightly detached and lighter  touch, like a harpsichord. However, at times the piano had to roar- like the monstrous pianos. Hear our most rare and lost concert below. Rubinoff and I gave it in the Catskill Mountains of New York State in 1984. He was 86 years of age, As he talks to the audience, you’ll become acquainted with a great man.  Also, please read the related Rubinoff blogs on You’ll see how Will Rogers helped to shape his incredible career. Dave loved the American Indians. I believe that in  turn Will,  who identified with the Cherokee Nation, helped him.

Lost Concert “Rubinoff and His Violin” on Oquaga Lake, 1984 – YouTube



New Measure Ratio Based on Fibonacci series

New Measure Ratio Based on Fibonacci Series

New Measure Ratio Based on Fibonacci Series.  First, what is the Fibonacci series? It is defined by the successive addition of numbers, The series are defined by the numbers 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987…The series eventually approximates an irrational number called phi:


The golden ratio is also called the golden mean or golden section (Latin: sectio aurea).[3][4][5] Other names include extreme and mean ratio,[6] medial sectiondivine proportiondivine section (Latin: sectio divina), golden proportiongolden cut,[7] and golden number.[8][9][10]

Choosing another slope, the green lines show 55 spirals of seeds.
The sunflower uses the Fibonacci series of numbers.

Of course, Beethoven uses the Fibonacci in his 5th Symphony. Read the internal link below.

Beethoven: His Fibonacci Fifth – DSO Works

Many writers of antiquity explain ancient use of  two number ratios: A shorter and longer number ratio. This ratio is 176/175. My source is John Michell’s The New View Over Atlantis.

New Measure Ratio is Unwrapped

Source for 176/175 ratio
I discovered another ratio in comparison to the previous two. It  is 176.5, Here’s how it works.   Both measures below use the 610 number.

  1. The longer 176 length of the nautical mile, at one minute of latitude is 6082.56 feet at 50°. The 175 value at 10° is 6048 feet. Using the 176.5 value the length becomes 6100 feet.
  2. Compare the longer and shorter Greek stade. The 176 value is 608.256 feet. The 175 value is 604.8 feet.  The 1st two values of 176/175 are in Michell’s book on page 133. The 176.5 length that I postulate becomes 610 feet.

I have blogged extensively about the Fibonacci series. If you review the blog below  and other blogs on the site,  610 consists of an added  series of 5’s. It is expressed by 555 + 55 = 610. Look at the number series  listed above. 610 is the 15th Fibonacci number. Its position is also a multiple of 5 as 3 x 5 =15.

Now for the frosting on the cake. Both 55 and 555 are prominent numbers found hidden on the 3 x 3 number square. The internal link below explains how to find the fives. Therefore, I had to conclude  that 176.5 was also prominently used as an ancient ratio of measurement along with 175 and 176.

Tens: Here’s the Formula on How Tens Grow into Infinity – DSO Works



Sequence code played a big part in the music of Vivaldi.

Sequence Code of Antiquity is Really Quite Simple

Sequence Code of Antiquity is really quite simple. . Musical composition, especially of the Baroque era, uses the same sequence code. Baroque music (US: /bəˈrk/ or UK: /bəˈrɒk/) is a style of Western art music composed from approximately 1600 to 1750.[1]

How is a musical sequence defined? In music, a sequence is the restatement of a motif or longer melodic (or harmonic) passage at a higher or lower pitch in the same voice.[1] It is one of the most common and simple methods of elaborating a melody.  See the musical example below. It was prevalent in eighteenth and nineteenth century classical music[1]

Use of the Sequence Code of Odd Numbered Number Squares of Antiquity


Sequence Code of antiquity is easily found in Baroque music
Music composed in the Baroque era used a code call a sequence. It was frequently played on the Harpsichord.
The same 4 note pattern is repeated on the next diatonic tone 3 times

So where are the ancient number codes. For this we must look to the 7 popular number squares of antiquity. In these numerical arrangements we will also find the basis of the Pythagorean Theorem. This theorum uses the basic 3-4-5 triangle:  The square of the hypotenuse equals the sum of the square of the shorter legs. Thus, 3² + 4² = 5². The sequence begins a process later imitated by higher numbers. For example 6² + 8² = 10².

Here are a couple of number squares to demonstrate the point of the primacy of sequence code in number squares:

  • 1² + 2² = 5 (Five is at the center of the 3 x 3 number square). This number square was associated with Saturn, the giver of the Law. It certainly sets the mathematical law of number squares in motion. It also hides codes that go to infinity.
  • 2² + 3² = 13. (Thirteen sits at the center of the 5 x 5 number square). This square was connected to Mars.
  • 3² + 4² = 5² or 25. (Twenty -five is at the center of the 7 x 7 number square- not pictured). Three and four are also the core numbers of the Pythagorean Theorem. Twenty-five sits at the center of the 7 x 7 number square of Venus.
  • 4² + 5² = 41 (This is the core number of the 9 x 9 number square). This number square was of the Moon.

11   24    7    20    3
4    12   25    8    16
17    5   13    21     9
10   18    1    14   22
23    6   19     2   15

Number square of Mars


Ancient number groupings
Number square of Saturn

Rediscovering and understanding  the use of the sequence code can spearhead a new era of peace and plenty.



Rubinoff experience wonderful and a bit wild

Rubinoff Experience is Wonderful and a Bit Wild

Rubinoff Experience is Wonderful and a Bit Wild. I ‘m getting ready to board the airplane for my Rubinoff lecture and concert in Circleville Ohio.  Maestro Steven Grassman will perform on the violin. A 28 piece orchestra will be featured under the baton of Joseph Rubin. See my internal  links immediately below. The first gives the particulars about the concert. Nothing is as wonderful for me as a Rubinoff experience revived.

Image result for pictures of violinist David Rubinoff
Thanks to John Philip Sousa, Rubinoff got a grant to educate and inspire school children

Rubinoff and His Violin Concert – June 2, 2018 – YouTube

Live Performances Archives – DSO Works

Rubinoff Experience to be had in Circleville, Ohio on June 2, 2018

I thought I would share a part of my lecture on this post. Please try to be there for an unforgettable American experience. Dave was all about how wonderful America is.  He also loved and gave  recognition to the American Indians.  His guiding light was his best friend, Will Rogers. Will identified with his Cherokee background.  Please try to be there for a most wonderful experience.  If you cannot make the concert;  the lecture and concert will eventually be posted on youtube. Here’s an excerpt from my lecture:

 In June of 1970 I set up an audition with Rubinoff. He was residing in a posh penthouse at the Leland House in downtown Detroit. Even before I rang his door bell, I knew I was about to meet a master of show business. While many are only concerned with 1st impressions, Rubinoff made a powerful 1st pre-impression. He had a hand carved wooden door with a violin surrounded by musical notes on staffs and flowers. When you rang his doorbell, it played the musical theme song from his hit 1930’s musical radio show. During that time he became an American icon. Typically, after Sunday church services, Americans went straight home. Their objective was to listen to Rubinoff and His Violin on the Eddie Cantor show, Dave conducted and played with the full NBC orchestra. His theme song, “Give Me a Moment Please”, was chimed by his doorbell.

His apartment suite was breathtaking. Dave paid homage to America with his décor. He was born in the Ukraine in 1897. What did the average Ukrainian think of American at that time? The Wild West personified America. Yes, cowboys and Indians. David was particularly taken with the Indians. He loved everything about them. In his suite were countless Indian artifacts and paintings. Many were just given to him by Frank Phillips of Phillips Petroleum. His #1 prized possession was a portrait of himself painted as an Indian chief- feathers and all.

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 Please share with friends.  It offers what Scott Joplin called “Solace.”
outstanding number ten has a place all its own

Outstanding Number Ten is in the Next Dimension

Outstanding Number Ten is in the Next Dimension. The Italian mathematician Fibonacci (c. 1170–1250) is credited with introducing the decimal system to Europe He used the term zephyrum. This became zefiro in Italian. It was then contracted to zero in Venetian. The Italian word zefiro was already in existence (meaning “west wind” from Latin and Greek zephyrus). It may have influenced the spelling when transcribing Arabic ṣifr.[9]

Why did it take zero so long to become independent? Because for 1000’s of years civilization was based on a prime 3 x 3 number square. Notice no zero exists in the square. It is simply the numbers one to nine. They are arranged so that any row of three totals 15. Also, any two opposite numbers total ten. Ten is a synthetic number on this square. Also, if you read my other blogs on, you can see other possibilities for this square of numbers.  The square given below was the preferred setting of antiquity.

Two ancient reads from one diagram.

Outstanding Number Ten on the Tree of Life

Outstanding number ten
Maximum separation between (1) yang and yin (10) on the Tree of Life.
 Here is a depiction of the Tree of Life. The 10 emanations are represented by circles. The 22 paths are the lines. Notice, emanations one and ten are separated by the maximum possible distance. They represent yin (10)  and yang (1) at odds with each other. Likewise, on the 3 x 3 square ten must be constructed by the effort of arithmetic. Ten represents a challenge to arrive at, either way. The best way to acquire at knowledge of 10 is through the wisdom  and rhyme of the Oquaga Spirit. I she is a female from the Lennie Lenape.
Image result for picture of of Oquaga Lake
                                                              But yet, two Heavenly orbs
Were in the morning sky:
For as the Sun was saying hello,
The Moon was saying good-bye.
In size they were like twins.
One orb could cover the other
But still these heavenly bodies
In daylight each other did not smother.
What to be made of this?
Its a sign of things to come:
When yin and yang stand equal
At peace and equilibrium.
Finally, to enjoy more of her poetry, here is a 14 minute sample from the products page on I have memorized the entire book and am available for poetic recitations.
Oquaga Spirit Speaks


Ancient number groupings

Numerical Meaning by Delving into Words

Numerical Meaning by Delving into Words. Today, numbers are adjectives. They define the quantity of a noun. Here are some simple examples: She has one cat. He has three birds. Our neighbor has two trees in the front yard. In the remote past, numbers represented both qualities and quantities. Furthermore, in China a numerical tradition of the Lo Shu survives. It is described below. Are numbers quantities or are they a lot more?  That depends on you civilization.

Numerical meaning for modern man
The modern mind prefers seeing numbers as adjectives rather than nouns.

21st century man prefers numbers as adjectives.  One side works with music and math. The other deals with words. Currently, most become quite uncomfortable in trying  to see numbers as nouns. There are exceptions. Musicians give numbers more meaning. Some examples are working with  the 8 bar phrase. The 32 bar period had its own meaning. . Another is animation by 3/4 or by 2/4 time. The prime number square  is the 3 x 3. It is the featured picture. Genesis is all about secret codes of this number square. So is the Chinese Lo Shu. Likewise, Greek mythology used this square of numbers. I must ask, who is more primitive? Someone who understands and works with all its hidden codes, or those who are ignorant of them?

1st sentence of Genesis Archives – DSO Works

Lo Shu Square (simplified Chinese洛书traditional Chinese洛書pinyinluò shū; also written 雒書; literally: Luo (River) Book/Scroll), or the Nine Halls Diagram (simplified Chinese九宫图traditional Chinese九宮圖pinyinjiǔ gōng tú), is the unique normal magic square of order three. Lo Shu is part of the legacy of the most ancient Chinese mathematical and divinatory (Yi Jing 易經) traditions, and is an important emblem in Feng Shui (風水).   Feng Shui is the art of geomancy concerned with the placement of objects in relation to the flow of qi (氣) “natural energy”.

Delving into Numerical Meaning

When placed in balanced mathematical relationships, numbers are more than adjectives. Such is the case with the featured picture.  Please read the internal link (1st sentence of Genesis) before continuing. Now let’s do the following. The sum of the numbers 1 to 9 totals 45. Next 45² = 2025. In many ancient languages, letters doubled as numbers. There was no brain split between the two sides and two disciplines.  This was called gematria. Information is available online. Also, on this website I quote the Reverend John Michell. He and Robin Heath amply cover gematria in their works.

For our last thought for numerical meaning in this blog, take 2025. Again, this is 45².

  • In Greek add the gematria of 3 gods:  Zeus = 612. Apollo = 1060. Hermes = 353. 612 + 1060 + 353 = 2025.
  • Gematria of words were often pyramided. Other  blogs deal with this topic. The four pyramided letters for “Torah” in Hebrew is 2023. Tav = 400,Tav + vav = 406. Tav + vav + reisch = 606. The full Hebrew word as tav, vav, reisch,  and hei = 611. Thus. 400 + 406 + 606 + 611 + 2 = 2025.  There  are 2 additional commandments added to the 611 by tradition.  With the + 2 we have: 2023 + 2 = 2025.  Again, this is 45².

There once was a golden age. Its guiding vision was the featured number square. This time of milk and honey can now be regained by the knowledge of how this basic number square functions..

Image result for pictures of book covers by John Michell
John Michell  and Robin Heath  quite descriptive  about the subject of gematria.
First impressions are the longest lasting.

Best Musical Event this Summer, 2018

Best Musical Event for the Summer of 2018 is just around the corner. Tickets are now available. Click on link given below.

Image result for Rubinoff posts on
This painting, done for David Rubinoff, is entitled “Professional Jealousy”

Why Rubinoff And His Violin “Pops” Concert will be the best musical event

“Rubinoff and his Violin” a name that brings back fond memories for anyone who remembers the golden age of radio. Before Andre Rieu, violinist and conductor David Rubinoff captured the hearts of millions on the air and record crowds of 225,000 at live concerts.

Rubinoff was discovered by Victor Herbert at the Warsaw’s Royal Conservatory in 1911, who brought the prodigy to the US. In 1931 Rubinoff was signed by NBC to join Eddie Cantor on the Chase and Sanborn radio program, where his orchestra included Benny GoodmanTommy Dorsey and Glenn Miller. Inspired by his friend John Philip Sousa, Rubinoff dedicated his life to promoting a love for music in young people, performing at thousands of schools including two concerts in Circleville in 1959 and 1980. A Columbus resident for 15 years, Rubinoff was guest of honor at the Ted Lewis Museum’s opening in 1977.

Now you can experience Rubinoff’s musical memories live for the first time in 80 years, featuring violin virtuoso Steven Greenman and a 28-piece orchestra conducted by Joseph Rubin. Circleville’s own Sarah Julien will be soprano soloist. I, blogger David Ohrenstein, will accompany Steven Greenman.  Students are admitted for free. Yes, beautiful music coming back.

Hear your favorite songs of the 1930s: Smoke Gets In Your EyesCheek To CheekDancing in the DarkSt. Louis Blues and much more, all in Rubinoff’s original arrangements saved from destruction by “The Ambassador of the American Songbook,” Michael Feinstein.


David Ohrenstein, Rubinoff’s accompanist for 15 years, will share Rubinoff’s fascinating history. He learned first hand of his friendships such musical icons as Victor Herbert, John Philip Sousa, Irving Berlin and Enrico Caruso.




best musical event
Dome philosophy is worth the study

Dome Philosophy as Opposed to Angular Philosophy

Dome Philosophy as Opposed to Angular Philosophy. A dome has curved and fluid lines. One’s environment influences thinking. Therefore, interaction with the dome  makes for fluid, flexible thoughts. For the geodesic dome we are indebted to R.B. Fuller.

Richard Buckminster “Bucky” Fuller (/ˈfʊlər/; July 12, 1895 – July 1, 1983)[1] was an American architectsystems theorist, author, designer, and inventor. He published more than 30 books. In them he coined or popularized terms such as “Spaceship Earth“, ephemeralization, and synergetic. He also developed numerous inventions, mainly architectural designs, and popularized the widely known geodesic dome.

Buckminster Fuller would often ask architects, “How much does your building weigh?” They never knew. He believes that every pound should have a defined and necessary function. Fuller’s domes were triangulated. They had maximum strength for minimum weight.

Dome Philosophy as per the Oquaga Spirit

It is no secret that space-time is a curved continuum.  Thus, the shape of the dome is in keeping with curved space.

Dome philosophy sample of triangulation on Fuller's domes
Maximum strength from minimum weight comes from Fuller’s use of triangulation to construct domes.

I wrote a book of poetry while living around Oquaga Lake. I felt the presence of a spirit there. See picture below. Aptly, I named it the “Oquaga Spirit”. I sensed the spirit was a female from the Lennie Lenape. It is a product on You can freely sample me reciting some of the poetry on this inner link. If you are interested, you can also purchase the book.

Oquaga Spirit Speaks – Book of Poetry by David … – DSO Works

Dome Philosophy as per the Oquaga Spirit




Dome philosophy is attended to by a spirit on Oquaga Lake.
Beautiful Oquaga Lake, home of the Oquaga Spirit and of lots of fun.

This spirit dictated a poem to me entitled: Like a Ballerina. She used triple meter for almost the entire book. She also talks about how space-time is a curved continuum. This parallels Fuller’s  use of triangles with the dome shape. Orchestral conductors often conduct triple meter in circular fashion. In the poetry book she offers the following admonition and advice. This is excerpted from her poem, “Like a Ballerina”.

“Man likes duple meters.
His triple meters wane.
Return ye to the waltzes of Vienna,
And the vibrant boleros of Spain.

What we have here is the musical wave of both the past and future. As a pianist, I’m sure to play a good share of music in 3/4 time on my jobs.