When you reach the end of this website, you'll know the following statement is true.

It is extremely likely that the songs on this site are considered sacred, and revered by countless extraterrestrial civilizations, on countless planets, in countless galaxies, and they have been for billions of years.

Are you ready to join this Universal club? All you have to do is give the first video your full attention, all the way to the final note.

These are the Cosmic Melodies. They were discovered in the laws of mathematics, in the digits of transcendental, irrational, and rational constants. There are 12 tones in music, and these songs exist in the digits of these constants, in base 12, where there are 12 digits used for counting.

Pi is the ratio of a circle's circumference, divided by the diameter.
In base 10, π = 3.14...
 

Welcome home.


Euler's number is the base of the natural logarithm. (compounding interest formula)
In base 10, e = 2.718...

Both pi and e are irrational numbers, meaning there is no repeating pattern in the digits. I recently started looking into rational constants and discovered some amazing melodies.

The opening chords sound like Heart and Soul. Right now, this is likely being hummed, sung, and whistled all throughout the Universe.

 

I like to think that somewhere out there exists a club, where this tune is being covered by some extremely talented extraterrestrial musicians, taking turns soloing.

 

What is base 12?

We use base 10, or decimal.  This means we use 10 digits to do math 0-9, but digits are merely symbols that represent amounts.

Think of Roman Numeral “X”.  

We need two digits to express that quantity …10 

Base 12 means we are using 12 digits to do math. 
The digits are…

0 1 2 3 4 5 6 7 8 9 X E

X = ten 

E = eleven

With this counting system, we can line up the 12 digits with the 12 musical tones. With minimal intervention, akin to a "paint by number", the songs are revealed.
Sometimes, A and B are used instead of X and E. It's only important to understand the concept of bases and symbols.

Here is pi in several different bases.

Universal Tonality

There is a Universal way to tune our instruments. We can use Hydrogen as a benchmark. 

1,420 MHz is E +47 cents. What do we know about phase? ;)
Between Hydrogen and Planck time, there is a third tone that makes symmetry with them. Perhaps it's the actual expansion rate of the Universe, unaffected by errors in measurement method.

Neighborly Peace

These are the colors arranged in the circle of fifths. Many find it soothing. 

The neighbors are perfect complements, and the colors that clash are as far away as possible.
 

Below is the mood calibration wheel. The blue color at the top is the “color of infinite temperature”. Going clock-wise is the circle of fourths. Each color equates to a smell, and each smell stirs a mood. The saturated colors are not right for that application.

The rational value of pi

Here is the rational value of pi based on the resolved melody, converted back to base 10. 

Here's Euler's number as a rational expression. After I made this picture, I've since added the “9”  “2” to the end of the song, so this is out of date, but you get the idea. 

Maybe these values of pi and e can resolve the fact we have a cosmological constant fudge-factor, fix the vacuum catastrophe, give us a star in a jar, matter replication, and space lensing, or the ability to manipulate gravity.

Here is something else I discovered. This is the Mandelbrot set. It is an algebraic function (basically an X-Y graph, or plot). It is the most famous fractal.
 

Someone did another analysis of it and called it the Buddhabrot set, because it resembles the sitting Buddha.

I came along and asked the question: What does it look like if you flip it upside down? I gasped the first two times I looked at it. I felt like I was being watched, for real… but it's math. We're meant to see it.
Is this us in a few billion years? Our aura? A face, brain, third eye and all.

 

This is the 330 digit version of the pi song, with only the music and colors. This is the purest information I can imagine subjecting oneself to. How many other sentient travellers out there “tune in” to their versions, likely longer than 330 digits.

Lastly, this is a meditation tone, based on the third Universal frequency, fractally. Although it sounds amazing through a car stereo, do not drive or operate heavy machinery while listening. This is likely enjoyed on a lot of planets when they want to “tune in”.

 Here are two more songs in rational constants. The melodies based on rational numbers must have a prime number in the denominator.
 

A simple dance tune.