music perpetuates

Music Perpetuates the Sumerian Dodecahedron

Music Perpetuates the Sumerian Dodecahedron. Twelve is employed by our key signatures. Not counting enharmonic keys, we basically have twelve; as per the featured picture.  Key signatures fit the pattern of the the 12-sided  Dodecahedron. Below I will explain how the Sumerians used this figure as they ascribed the overall shape of the Universe to this figure. Are we then allowed to say the Universe is music; or, that the music of the spheres is actually true? 

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

Translating Geometry to Words and Numbers- link


 Music Perpetuates – Visiting Samaria For An Ancient Dodecahedron


Related image
Modern usage for dodecahedron for a playground.

The Sumerians, like many cultures, had 12 gods. The Israelites used the dodecahronal model but only for  its tribes; however, they substituted 12 tribes for deities: One God centered the whole system.

In Sumeria 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.

In effect the numbers, which grow by fives, define the 5 vertices of each of the 12 pentagons. The pentagons have opposite pentagons; so we can ascribe male versus female to them.  In music we have a similar situation: Not counting enharmonic, we  can postulate 6 sharp and 6 flat key signatures. 

Look at the wide span covered by the dates of its use:

  • The 12 primary key signatures of the circle of fifths became prevalent in the 18th century. 
  • A dodecahedron’s parallel to the 12 tribes of Israel was officially established in Israel about 1,000 B.C.
  • 12 Sumerian gods came about 4,000 B.C.

Plato, in his writings was merely reiterating an already ancient tradition at the time he was alive. 

Enjoy this youtube video from our most recent musical. Blogger David is seated at the piano.

Preview YouTube video Songs from Goldan Roads, the Golda Meir Musical, by Sharon and David Ohrenstein


common time

Musical Duration Dots Abound in Chopin Prelude #3

Musical Duration Dots Abound in Chopin Prelude #3. What do dots do to the duration of notes? In Western musical notation, a dotted note is a note with a small dot written after it. In modern practice, the first dot increases the duration of the basic note by half (the original note with an extra beam) of its original value. This means that a dotted note is equivalent to writing the basic note tied to a note of half the value. For instance, a dotted half note is equivalent to a half note tied to a quarter note. Subsequent dots add progressively halved value.Chopin uses this quite effectively in his Prelude #3. I call his use by the name of pyramided dots.That is because you can make the numbers 1,2, and 3 into a pyramid. See the illustrations below:

Geometric progression and series created by adding successive dots.

On the top treble clef, three dots are used twice:

  • The 1st beat of measure one.
  • Also, the first beat of measure three.

One the second treble/bass staff, two dots are then used twice:

  • On the third beat of the treble.

Single dots are used by Chopin in the 5th and 6th measures.

T3 illustrates the 1,2, and 3 rows of dots made into a “pyramid”.

A triple-dotted note is a note with three dots written after it; its duration is ​1 78 times its basic note value. Use of a triple-dotted note value is not common in the Baroque and Classical periods. It is quite common in the music of Richard Wagner and Anton Bruckner, especially in their brass parts.

What Effect do the Musical Duration Dots have on Chopin’s Prelude?

I feel Chopin’s compositions for the piano are highly innovative. My own teacher was Mischa Kottler. He studied with Alfred Cortôt. This was in the 1920’s. In turn Cortôt studied with a pupil of Chopin. I was taught to play a dotted note on the piano with more tone. Then certainly a double dot should be played with more tone.  A triple dotted note should then have tone to the max. Tone, when played on the piano, should always sound pleasing. Ask me for a live demonstration of this Chopin Prelude on the newly refurbished 1924 Steinway Concert Grand at the Gasparilla Inn. I play for there for dining 6 nights weekly. See internal link:

Tenth Year Entertaining on the Steinway at the Gasparilla Inn

changing standards

Changing Standards in Musical Performance are Upon Us.

Changing Standards in Musical Performance are Upon Us: Fast, crass, loud and vulgar interpretations of music are fleeing and soon to be gone. Mars and Venus have been used for social comparison. I refer to the book Men Are from Mars, Women Are from Venus (1992[1]). The author is  John Gray  He had earned degrees in meditation and taken a correspondence course in psychology.


The author exemplifies by means of its eponymous metaphor: Men and women are from distinct planets—men from Mars and women from Venus. The book has sold more than 15 million copies.[2][3] According to a CNN report, it was the “highest ranked work of non-fiction” of the 1990s. [4] It was 121 weeks on the bestseller list.

Changing Standards are Simply Periodic

So what are some of the changes we can expect in the musical field?

  • Large concert hall and amphitheater concerts will greatly diminish. Smaller, more intimate settings for music will gain the upper hand. This is very much akin to the chamber music recitals that used to grace the wealthy during the classical era.  Often wealthy patrons would employ their own orchestras. Conductor-composer. Joseph Haydn, working for the Austrian Esterhazy family was an archetype example:

Reconsidering the legacy of Haydn, ‘The Father of the Symphony’ PUBLISHED FEBRUARY 14, 2018
Super big and loud is on the way out along with crass and vulgar music. Musical quality along with beauty and detail will return. Here Joseph Haydn is leading a chamber music ensemble.

Repeating a a three or four note phrase dozens of times during a song will find its place in private practice rooms only.

Changing Standards on Multiple Repetition of Notes

This is based on a true story. I worked with Rubinoff and His Violin. He would stand in front of a TV set, watching television,  and practice the opening four notes of any given song maybe one to two hundred times. This was to get precision to to max on the motif he was working on. But this was for practice only! He would never think of making his practice session into a hit song! Today we mostly listen to musical practice sessions with expensive costumes and backgrounds. I ask my reader, how long will that last?


Musical Leo Does More than Roar!

Musical Leo Centers Around the Key of F major-D minor

Musical Leo Centers Around the Key of F major-D minor. Here are some typical issues that music written in the key of one flat can help cure. This is because Leo rules over the core of the body.

  • Do you feel that you are too timid or shy? Or, is your subdued personality preventing you from a promotion on your job?
  • On the physical side: Do you have poor posture or pains in your back or spine? Are you fearful of possible heart problems?

Here’s the good news: What if you could alleviate any of these problems by relaxing in an arm chair (like Henry VIII below) and  just listening to music. Better yet, do all this free of charge!

Musical Leo
How can music make you feel like a king?


The zodiac has been called the wheel of life and circle of little animals. The English word zodiac derives from zōdiacus. It is  Latinized form of the Ancient Greek zōidiakòs kýklos (ζῳδιακός κύκλος). This word “cycle or circle of little animals”. Zōidion (ζῴδιον) is the diminutive of zōion (ζῷον, “animal”). The name reflects the prominence of animals (and mythological hybrids) among the twelve signs.The key of Leo has one flat. You can see this on the diagram of the Circle of Fifths. One flat is connected to F major and D minor.

Circle of Fifths fits like a glove over the 12 zodiac signs. The key of Leo is set at 11:00 o’clock.

So What Can Music in the Key of Musical Leo do for You?

Mental Health– It develops self assurance. You can become the life of any party and gives you the aura of a great entertainer. Music in this key encourages generosity and a kind, open heart. Its sound allows you to be able to take action whenever needed.

Physical Health- Leo rules the back, spine and heart. They are at the body’s core. Anyone with back pain, posture issues or heart problems would do well to listen to the vibes of music in the key of Leo. To get more background on this issue check out the  internal link below. Classical music is best because it is often identified by key signature. Look on youtube for free examples: Symphony in F or D minor, quartet, sonata, trio etc. Even if you feel no benefit from this advice, at least you will have listened to some great music!

Panacea is Found in Our Civilization’s Music



Panacea is Found in Our Civilization’s Music

Panacea is Found in Our Civilization’s Music. Originally I posted this on our other website: Reviving, however, I feel it is common to both of these sites. Certainly, in the past many composers of music borrowed from themselves. For example, in music, the BACH motif is a motif.   Its notes are a succession of notes important or characteristic to a piece.  These notes are B flat, A, C, B natural. In German musical nomenclature the note B natural is named H and the B flat named B. It forms Johann Sebastian Bach‘s family name.

So, Here is My Panacea Quote from Reviving Antiquity

Many composers quoted themselves in different works. This is especially true for J.S, Bach. These notes sound his name in music.

Panacea – what is its meaning? In Greek mythology,  she (Greek ΠανάκειαPanakeia) was a goddess of universal remedy. This remarkable entity was the daughter of Asclepius and Epione.  With her sisters each performed a facet of Apollo‘s art:[1]

  • Panacea (the goddess of universal health).
  • Hygieia (“Hygiene”, the goddess/personification of health, cleanliness, and sanitation).
  • Iaso (the goddess of recuperation from illness)
  • Aceso (the goddess of the healing process).
  • Aglæa/Ægle (the goddess of beauty, splendor, glory, magnificence, and adornment).
  • Panacea.jpg
    Our featured goddess helping the sick. The Veronese physician J. Gazola created this picture as part of a larger woodcut in 1716.

    Our musical circle of fifths is as good as the Greek goddesses for curing ailments.

    It’s time to cure the ills of mankind. Music, when properly applied, can do just that. Best of all, it’s free. Also the knowledge I write about has the capacity improve the interpretation of music by a searching musician. That analysis is for the future. First notice there are 12 basic key signatures. The bottom three are called “enharmonic.”

  •  C# major is merely another letter name for Db major.
  • F# major is another name for Gb major
  • Cb is another name for B major.

This means there are basically 12 key signatures. I have my reasons for aligning the 12 key signatures with the 12 zodiac signs. Many have done this before me, but I feel my way is most correct. My reasons will be explained over time.

Effecting Panacea

Let’s discuss heart problems. To cure these problems listen to classical music in the key of one flat. That, as you can see from the diagram, is F major and its relative minor of D. Why classical?  Quite often, classical music is defined by its  key signature. i.e. : Symphony in F major, Quartet in D minor, Trio in D minor,  etc. The minor key alleviates the sordid condition. The major maintains good health in the area needed. More will be forthcoming. Keep checking.




poetry signals change

Poetry signals Change is About to Happen

Poetry signals Change is in the Air. Said another way: When there is no poetry of quality then musical quality takes a nose dive. This is not only my own observation. As my resource I quote  Music by Frederic V. Grunfeld. The book I read it in is published by Newsweek Books out of New York. Place and year- Mondadaori, Verona, Italy,  1974.

Poetry Signals Change – Poetry (magazine) Cover Copy Below

Poetry (founded as Poetry: A Magazine of Verse) has been published in Chicago since 1912. It is one of the leading monthly poetry journals in the English.  Poetry is founded by Harriet Monroe and now published by the Poetry Foundation. It is currently edited by Don Share

Those who decry the primitivism of today’s music along with its limited scope, need to look for another Heinrich Heine type figure. Indeed, so many “songs” use about three or four repeated notes or thrive on platitudes and vulgarity. I have already mentioned him on DSOworks in the internal link below. The problem is where is our Henrich Heine for this present day and age?

Poetic Import in Signaling Historic Changes

We Must Return to Beautiful Poetry

As a writer of poetry, I am inspired by the same place at which the Marvelous Mrs. Maisel was filmed for this coming season: Scott’s Oquaga Lake House on Oquaga Lake. The beauty and enchantment of the lake knows no limits.

Here is an excerpt from my poem called “Fun.” It describes this setting in some detail.

The diving platform is located
End the end of the extended dock.
Canoes and kayaks are nearby
The woods where the birds do flock.

The swimming area is marked
By yellow balls on rope
Fastened to a rubber raft
Beyond which the lake has slope.

A second dock is to the left
With a speedboat at its end.
On its left we find a showboat
Built just for voices to blend.

A playhouse is to the rear
Grand piano is set on stage
Near bowling ping-pong and pool
Games all quite the rage!

Do yourself a favor and make a pilgrimage to Oquaga Lake and visit Scott’s Hotel. A number of doctors from India did just that! All this beauty and memorabilia can be yours to enjoy.  Revive that ancient poetic feeling so many once had. And please share this post!

Here is a fun external link to our other website, Reviving Four Flatted Scorpio Refers to Key Signature



contrapuntal universe

Contrapuntal Universe Combines Melody with Conterpoint

Contrapuntal Universe is a Paradox. First, what is musical counterpoint? In musiccounterpoint is the relationship between voices that are harmonically interdependent (polyphony).  Yet they are  independent in rhythm and contour.[1] It has been most commonly identified in the European classical tradition.  Counterpoint was strongly developing during the Renaissance. It became common practice period  in the Baroque. The term originates from the Latin punctus contra punctum. That means “point against point”.

Melodic Universe V. Contrapuntal Universe

Counterpoint focuses on melodic interaction—only secondarily on the harmonies produced by that interaction.  John Rahn contrasts melody with counterpoint quite adeptly. He states:

It is hard to write a beautiful song. It is harder to write several individually beautiful songs that, when sung together, sound more beautiful as a polyphonic whole. The internal structures that create each must contribute to the the polyphony. Vice versa, the combination in turn must comment on the the individual voices. In this way the contrapuntal universe combines the singular with the plural. The way that is accomplished in detail is … ‘counterpoint’.[3]

contrapuntal universe
This is the 1st volume of the Bible of counterpoint.


Patra Workshop
Three female musicians. Used by permission from the Egyptian art gallery: “From Cairo with Love”and artist, Kadir.

Patra Workshop to debut New York this September

Patra Workshop to debut in New York. Patra is the shorter name for Cleopatra. Queen of Egypt, she was one of the most famous women in history. Her full name was Cleopatra VII Thea Philopator (69 BC – 12 August 30 BC). She was the last of the Pharaohs set up in Egypt by Alexander the Great. By descent, she was a Macedonian Princess. It will appear off book in  the workshop. Our singers will literally be top notch.  My wife, Sharon is the librettist and a co-composer of Patra.  I, husband David, am also a composer. Before going to NY, it will have a staged concert presentation. This will be in Sarasota Fl at the newly built Sarasota West Coast Black Theater.  Our casts in both NY and Fla are busy rehearsing.  Here’s the gist:

Cleopatra had stopped the onslaught of two invading Roman generals through love. She thus neutralized the worst effects of their invasions by marrying the generals. Patra had children with each.  The generals were, first,  Julius Caesar; and then, Marc Antony. Was there any possibility of love with the 3rd invading general, Octavian? That is the subject of our new opera comique.

`How does this tie together melody and counterpoint?  By the beautiful vocal lines. Also, the piano provides additional counterpoint. Don’t miss our New York workshop on September 7, 2019.  See our website, for details.


One thread spans the globe

Mayan Egyptian Connection Spans Atlantic Ocean

Mayan Egyptian Connection Spans Atlantic Ocean. Who were the Mayans? The Maya developed their first civilization in the Preclassic period.[9] Scholars continue to discuss when this era of Maya civilization began. Discoveries of Maya occupation at Cuello, Belize have been carbon dated to around 2600 BC.[10]  The civilization still had great endurance. Look back some 3,000 years. Mayan Tikal was around from 250 to 700 AD. At its height during the Late Classic, the Tikal city polity had expanded to have a population of well over 100,000.[37]

Egyptian Mayan connection
Part of the courtyard at Tikal.

Egyptian Mayan Connection

We have no written evidence of connection between the two cultures and their countries. But, we do have similarity by measurement. Many are too fixated on proof by written record. They forget that numbers and letters once shared the same symbol. This practice of using the same symbol for both is  called gematria- a Greek word. Only our modern languages (except Hebrew) have separate symbols for both. In effect, when you made a measurement, you also  could imply a (1) A word. (2) A phrase. (3) An entire sentence. (4) Even a larger unit of writing translated into numbers.

Great Court at Tikal

A surviving Mayan great court is at Tikal. It outlines a rectangle. East to West is 400 feet in length. North to South is 250  feet in width. The courtyard is flanked by platforms, large temples and pyramids. The ratio of the length to the width of the Tikal courtyard is 8:5. Note 400/250 = 8/5 = 1.6. Compare this to the Great Pyramid of Egypt.  One side of the square base is smaller Egyptian 440 cubits of 1.71818…feet.  Its truncated height is 275 of the same sized cubits. 440÷275 = 8/5 = 1.6.

Comparing the Great Pyramid’s Dates to the Mayan first civilization in the Preclassic period.[9]

Based on a mark in an interior chamber naming the work gang. and a reference to the fourth dynasty Egyptian Pharaoh Khufu, Egyptologists believe that the pyramid was built around 2560 BC. As stated above, Mayan carbon dating goes back to 2600 B.C. The dimensions of the Mayan courtyard and of the Great Pyramid had the same ratio of 8 to 5. These numbers are part of the Fibonacci series:

Related imageLeonardo Bonacci who was born 600 years before Beethoven. The Fibonacci series, named after him. is colored in red. Beethoven used the Fibonacci numbers in composing his fifth symphony. In the internal link underneath, I relate Fibonacci numbers to ancient number squares. I don’t know that Fibonacci ever made the connection?


Behind Leonardo Bonacci’s back, the highest red number is 55. Each new number is the sum of the preceding two. Number 34 precedes 55. So, let’s continue the series: 34 + 55 = 89. Next, 55 + 89 = 144. Next 89 + 144 = 233 (the length of Beethoven’s opening section). Next 144 + 233 = 377 (which  the length of Beethoven’s development section). Beethoven, being the brilliant genius that he was, knew exactly what he was doing. Note in red numbers. Number five is the 1st separated number. It is not consecutive. Almost every composer uses phrases in 4 bars. The genius of Beethoven made the opening phrase 5 bars long on purpose. He knew what he was doing!

Here is an Egyptian Mayan connection
Five bar opening phrases of Beethoven’s 5th Symphony.

The Best Architecture and Music are at Least Based on Tradition

The Egyptian Mayan connection  of the 8 to five ratio is found with Beethoven. Of course, in this symphony Beethoven uses many phrases also use 8 bar phrases.  When we listen to his 5th symphony it sounds natural. Can you imagine how he must have struggled to make the bar length come out right? Leonard Bernstein says of Beethoven and the 1st movement in The Joy of Music: “he will give away his life just to make sure that one note follows another inevitably.” In conclusion, I think that in addition to an even greater appreciation of Beethoven, we have graphic proof the relationship between music, numbers and architecture in this post:  The Mayan Egyptian Connection and even more.  This is why music lessons, theory and composition increase aptitude for mathematics.

Fibonacci Forgot the Number Squares









What exactly is Fibonacci Inversion?

Fibonacci Inversion is Like Musical Inversion of Intervals

Fibonacci Inversion is Like Musical Inversion of Intervals. . Inversion means to reverse the order, be it  of numbers or the two tones of a musical interval.  We also have melodic inversion. An example will be given by J.S. Bach. A unison inverts to an octave as 1 + 8 = 9. The second inverts to the seventh as 2 + 7 = 9. The third inverts to a sixth as  3 + 6 = 9. The fourth inverts to a fifth as 4 + 5 = 9. Inverting music is further discussed in my internal link.immediately below.

Music and Math Share the Rule of 9’s

Also, inversion also means turning the melodic intervals up-side-down.

Fibonacci inversion has a parallel in music
An example of melodic inversion from the fugue in D minor from J.S. Bach’s The Well-Tempered Clavier, Book 1.[1] Though they start on different pitches (A and E), the second highlighted melody is the upside-down version of the first highlighted melody. That is, when the first goes up, the second goes down the same number of diatonic steps (with some chromatic alteration); and when the first goes down, the second goes up the same number of steps.

Fibonacci Inversion is Also Like Inverted Triads

Image result for Wiki Commons illustration of C major triad and inversions
The same three basic notes are always there, but turned around. In order C-E-G; E-G-C, and G-C-E.

What are the Fibonacci numbers?

In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones:[1][2]

{\displaystyle 1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots }

For the Fibonacci  inversions, I take the 1st four numbers: 1,1,2, 3.  Each of these Fibonacci numbers with its inversion totals four. In similar fashion each musical interval with its total equals the same number. The number is different but the principle is the same.

The Fibonacci  inversion of “1′ becomes “3”. This happens for each “1”. The inversion of “2′ becomes 2. This number inverts to itself. The musical parallel is as an octave inverts to a unison.  Next, the inversion of “3” becomes “1”.

In order, the inverted numbers of  1,1,2,3,  are 3,3,2,1. Now we have to points to make (1) Ancient philosophers often either separated successive numbers and/or placed them together.(2) Ancient numbers squares give rise to the Fibonacci series. The internal link explains, in depth, how Fibonacci numbers dominate 4 x 4 number square.

Remarkable Foursome is a Mathematical Wonder

I keep within the ancient tradition of number squares for this next explanation.  Take the first four inverted  Fibonacci numbers, 3,3,2,1 – as a straight read. You have 3321. The is the numerical total of the 9 x 9 number square of the Moon. This square (with other ancient squares) is pictured below. It houses all the numbers from 1 to 81. Any two opposite numbers total 82. My page was copied from an earlier blog about the “Neolithic Periodic Chart”. Note the obvious vertical sequence of numbers on the periodic chart.  It is found on the diagonal on odd numbered squares. They are clearly reinforced in reinforced black ink. The numbers are 2,8,8,18,18,32,32, …

Hidden Periodic Chart Sequence Found in a set order

So what is my conclusion? Again,  there once was a former advanced civilization. It was based on number squares. Times were then peaceful and harmonious. Somehow it was destroyed. Could it have been the continent of Atlantis that Plato mentions in his writings?

Reversing polarities means going to the left or right from "C"

Reversing Polarities in Mathematics and Music

Reversing Polarities in Math and Music. First, let us define polarity:

  1. the relative orientation of poles; the direction of a magnetic or electric field.
    plural noun: polarities
    “the magnetic field peaks in strength immediately after switching polarity”
the state of having two opposite or contradictory tendencies, opinions, or aspects.
“the polarity between male and female”.

Reversing polarities is also found on this number square.
This number square acts as a bar magnet when it is cut in half (see illustration of bar magnet).

It is impossible to make magnetic monopoles from a bar magnet. If a bar magnet is cut in half, it is not the case that one half has the north pole and the other half has the south pole. Instead, each piece has its own north and south poles.


Reversing polarities as the subdominant and dominant are extremes.
The key of “C” is like the center of a bar magnet in this example.

Reversing Polarities in the Number Square

Many blogs on DSOworks are about this basic 3 x 3 number square. They are easy to access. I’ll use the bar figure of the numbers 9-5-1 for purposes of explanation. Taken as a straight read, any three numbers that cross the central 5 in a straight line is its own number backwards. It is just like a bar magnet. The number that always occurs is 1,110. Here, 951 + 159 = 1,110.

Next, let’s cut these numbers down the middle. We now have 95 and 15. This still has its North and South poles. This is like the split bar magnet on the left.  Note: 95 + 15 =110. Reversed- 59 and 51 =110. These numbers are smaller than the initial 159 and 951. However, they still have their poles. A theme on is how this number square sets the cosmos in motion.

Reversing Polarities in Triads or Key Signature Relationships

The subdominant and dominant relationship mark the extremes in the poles of the keys. The tonic draws these two opposite keys together. Here’s how:

  1. The highest note of subdominant “F” chord is “C”. That is also the lowest note of the tonic triad.
  2. The highest note in the tonic triad example here is “G”. That now becomes the lowest note of the dominant “G” triad. This central “C” triad bonds the extremes together.
  3. Finally let’s cut the three letter names so “G” now becomes the central note. “C” is now set to the left. “D” is now to the right. This becomes like cutting the bar pole magnet in two new parts.

Conclusion: Polarity refers back to the 3 x 3 number square.  I would like to conclude a picture of  an emblem of the Lennie Lenape. They have a wonderful motto: “we are all family”. The Lenape (English: /ləˈnɑːpi/ or /ˈlɛnəpi/),[7] also called the Leni Lenape,[8] Lenni Lenape and Delaware people.[9] They are an indigenous people of the Northeastern Woodlands.  They live in Canada and the United States.[4]

Related image

Internet is the Keyword in Megalitic Times