## Time

I am not sure why this is not common knowledge, but there is a way doing mathematics that appears to be older than most things we know about. It is not much different to the way we do maths today, because our way is really a continuation of this ancient system. We do tend to get lost in unnecessary complications nowadays though, and seem to have lost the beauty and simplicity that mathematics once had.

The Sumerian “kings list” which was found in an ancient temple in Uruk is a good example of this mathematics. I am not sure what this list really is, but to me it makes no sense that it could measure the “length of ruler-ship” of actual kings. The reigns are measured in Sumerian units known as Sars (units of 3600), Ners (units of 600), and Sosses (units of 60). It is said to originate from the gods, and starts with the kingship descending from heaven and ends with the great flood.

(If you are viewing this on an android phone or tablet and find the display to be strange or hard to read , scroll to the end of this page and toggle the "mobile / web" settings).

The Sumerian “kings list” which was found in an ancient temple in Uruk is a good example of this mathematics. I am not sure what this list really is, but to me it makes no sense that it could measure the “length of ruler-ship” of actual kings. The reigns are measured in Sumerian units known as Sars (units of 3600), Ners (units of 600), and Sosses (units of 60). It is said to originate from the gods, and starts with the kingship descending from heaven and ends with the great flood.

(If you are viewing this on an android phone or tablet and find the display to be strange or hard to read , scroll to the end of this page and toggle the "mobile / web" settings).

The Mayans had very similar numbers in their long count calendar which they used to measure what they called “universal time”. They believed that the universe was destroyed and re-created at the end / start of each 2880000 day cycle, and that everything on earth was directly affected by the smaller cycles in between.

The Hindu religion also has a very similar long count calendar called the “Yugas”. The Yugas make up 4 ages within a larger cycle called a Manvantara, which was made up of 71 times the amount of years in all of the Yugas. These are parts of smaller and larger cycles which are confusing to me, but at some point also marked the destruction / creation of the universe.

The Yugas are said to be like seasons that create golden and dark ages that effect mankind, making us more or less conscious, and also increasing and decreasing our life span and physical size. The Yugas say that one full precession of the equinoxes is 24,000 years long, this is quite close to most modern estimates for this, which range from 26000, 25920 to 25772 years. The precession of the equinoxes is thought to cause cold and warm ages, which really do have an effect on all life on earth...

The Yugas are said to be like seasons that create golden and dark ages that effect mankind, making us more or less conscious, and also increasing and decreasing our life span and physical size. The Yugas say that one full precession of the equinoxes is 24,000 years long, this is quite close to most modern estimates for this, which range from 26000, 25920 to 25772 years. The precession of the equinoxes is thought to cause cold and warm ages, which really do have an effect on all life on earth...

These are the modern day estimates for the precession of the equinoxes:

The second by which we measure time has been based on the earths rotation since ancient times, today we use atomic clocks to measure the second, but this second is about the same as the original earth based one...

I am not an expert on mathematics, but it seems clear that all of these people used a very similar way of working things out. You can tell by the way the same numbers keep showing up with different amounts of 0's at the end, for example: 360, 3600 and 36000. Or certain numbers multiplied or divided by 2 (octaves), for example: 36, 72, 144 and 288, or 216, 432 and 864. and combinations of them with different amounts of 0's at the end.

The same mathematics seems to be involved in the sizes of the Sun, Earth and Moon too, even though this should not be possible:

The distance from the Sun to the Earth is 108 times the diameter of the Sun.

The distance from the Earth to the moon is 108 times the diameter of the moon.

Moons radius = 1080 miles.

Moon's diameter = 2160 miles.

Suns radius = 432000 miles.

Sun's diameter = 864000 miles.

Here there are many octaves of 432 with various 0's at the end (108, 216, 432 and 864 are octaves).

Another crazy thing is that the sun and moon are only the same size in the sky from Earth because the sun’s diameter is about 400 times greater than that of the moon, and the sun is also about 400 times farther away. This is what makes total eclipses possible on Earth.

The most logical explanation I can think of is that some god level being or beings designed the Sun, Earth and Moon using mathematics, but that is quite a thing to say without any proof. If this is the case, however, the math would actually have been very simple:

432 x 100 = 43200 seconds (12 hours)

432 x 200 = 86400 seconds (24 hours) (one rotation of the earth)

432 / 6 = 72 years (Earth moves through one degree of the Zodiac)

432 x 5 = 2160 years (Earth moves through one zodiacal age)

432 x 60 = 25920 years (one great year)

432 x 5 = 2160 miles (Moon's diameter)

432 x 2.5 = 1080 miles (Moon's radius)

432 x 2000 = 864000 miles (Sun's diameter)

432 x 1000 = 432000 miles (Sun's radius)

The diameter of the earth also has an interesting size, but I will get to that...

Bonus fact: 432 x 432 = 186624 (Speed of light = about 186000 miles per second in a vacuum).

One thing worth noting is that these patterns only show up in the imperial measures of inches, feet, yards or miles, while metric measures like cm or km for distance don’t reveal much of anything. I have heard that the imperial measures are based on ancient measures that originated in Ancient Egypt or Mesopotamia, so maybe they are also as old as time.

The distance from the Sun to the Earth is 108 times the diameter of the Sun.

The distance from the Earth to the moon is 108 times the diameter of the moon.

Moons radius = 1080 miles.

Moon's diameter = 2160 miles.

Suns radius = 432000 miles.

Sun's diameter = 864000 miles.

Here there are many octaves of 432 with various 0's at the end (108, 216, 432 and 864 are octaves).

Another crazy thing is that the sun and moon are only the same size in the sky from Earth because the sun’s diameter is about 400 times greater than that of the moon, and the sun is also about 400 times farther away. This is what makes total eclipses possible on Earth.

The most logical explanation I can think of is that some god level being or beings designed the Sun, Earth and Moon using mathematics, but that is quite a thing to say without any proof. If this is the case, however, the math would actually have been very simple:

432 x 100 = 43200 seconds (12 hours)

432 x 200 = 86400 seconds (24 hours) (one rotation of the earth)

432 / 6 = 72 years (Earth moves through one degree of the Zodiac)

432 x 5 = 2160 years (Earth moves through one zodiacal age)

432 x 60 = 25920 years (one great year)

432 x 5 = 2160 miles (Moon's diameter)

432 x 2.5 = 1080 miles (Moon's radius)

432 x 2000 = 864000 miles (Sun's diameter)

432 x 1000 = 432000 miles (Sun's radius)

The diameter of the earth also has an interesting size, but I will get to that...

Bonus fact: 432 x 432 = 186624 (Speed of light = about 186000 miles per second in a vacuum).

One thing worth noting is that these patterns only show up in the imperial measures of inches, feet, yards or miles, while metric measures like cm or km for distance don’t reveal much of anything. I have heard that the imperial measures are based on ancient measures that originated in Ancient Egypt or Mesopotamia, so maybe they are also as old as time.

## Geometry

Geometry is a part of this mathematical puzzle too. If you look at the numbers involved in the degrees of the angles, it seems obvious that it was designed by the same ancient intelligence.

Regular polygons:

If you add the degrees in the sides of each regular polygon together, you get some interesting numbers...

Plato’s 3 dimensional Platonic solids are made of these regular polygons. If you take the degrees in their interior angles and add the numbers together you get this:

Tetrahedron = 5 equilateral triangles = 720 degrees

Hexahedron (cube) = 6 squares = 2160 degrees.

Octahedron = 8 equilateral triangles= 1440 degrees

Dodecahedron = 12 pentagons = 6480 degrees

Icosahedron = 20 equilateral triangles = 3600 degrees.

Plato also connected these to the 5 elements:

Tetrahedron = Fire

Hexahedron (cube) = Earth

Octahedron = Air

Dodecahedron = Aether

Icosahedron = Water

What is very interesting is that if you take the degrees for the 4 Earthly ones (leave out aether) and add them together you get 7920. This is very close to the diameter of the Earth, which according to Google is about 7917.5 miles. To add to this, the moon’s diameter is about 2160 miles which is the same number as the amount of degrees in a cube. You must remember that it is impossible to actually measure planets, so all of these measures are estimated. A deeper internet search showed me that the Earth is not even perfectly round, and has an equatorial diameter of about 7926 miles, and a polar diameter of about 7899.86 miles. So at the end of the day, 7920 miles seems like a good enough estimate to me.

There is a very strange thing about all of the above geometric numbers, if you take any of them and add all of the digits together to make a single one, you will always get 9. If you don't know how this works it is simple: For a number like 1440, just go 1 + 4 + 4 + 0 = 9. For a more complicated number like 6480, just go 6 + 4 = 10 and 10 + 8 = 18 and then 1 + 8 = 9. I am not sure what this means but works with the pentagram, the regular polygons, the platonic solids, and many other geometric shapes not mentioned here.

If you scroll to the top of this page and compare all of the numbers up to here, you will see almost all of them add up to 3, 6 or 9. Nikola Tesla did say that "If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe” so maybe this is important in some way. It seems obvious that Tesla was using the "beautiful" maths too. You can always tell when it has been used when you see octaves and major thirds of certain octave sets like:

15, 30, 60, 120, 240...

27, 54, 108, 216, 432, 864...

45, 90, 180, 360...

All of the above numbers also add up to 3, 6 or 9...

1, 2, 4, 8, 16, 42, 64, 128, 256, 512... (octaves of 1) are obviously very important. They don't always add up to 3, 6 or 9, but 1 is the source of all numbers, so this makes sense.

The reason why these numbers keep showing up is mostly because they are very useful in mathematics, that is, they divide and multiply well without creating too many decimals and confusion. You can actually find most of them in among the highly composite numbers (very mathematically useful numbers).

The only problem is that the same number system exists in nature itself, and that was not meant to have been made using mathematics at all. Perhaps this mathematics is universal, and just exists everywhere no matter if humans are involved or not...

Tetrahedron = 5 equilateral triangles = 720 degrees

Hexahedron (cube) = 6 squares = 2160 degrees.

Octahedron = 8 equilateral triangles= 1440 degrees

Dodecahedron = 12 pentagons = 6480 degrees

Icosahedron = 20 equilateral triangles = 3600 degrees.

Plato also connected these to the 5 elements:

Tetrahedron = Fire

Hexahedron (cube) = Earth

Octahedron = Air

Dodecahedron = Aether

Icosahedron = Water

What is very interesting is that if you take the degrees for the 4 Earthly ones (leave out aether) and add them together you get 7920. This is very close to the diameter of the Earth, which according to Google is about 7917.5 miles. To add to this, the moon’s diameter is about 2160 miles which is the same number as the amount of degrees in a cube. You must remember that it is impossible to actually measure planets, so all of these measures are estimated. A deeper internet search showed me that the Earth is not even perfectly round, and has an equatorial diameter of about 7926 miles, and a polar diameter of about 7899.86 miles. So at the end of the day, 7920 miles seems like a good enough estimate to me.

There is a very strange thing about all of the above geometric numbers, if you take any of them and add all of the digits together to make a single one, you will always get 9. If you don't know how this works it is simple: For a number like 1440, just go 1 + 4 + 4 + 0 = 9. For a more complicated number like 6480, just go 6 + 4 = 10 and 10 + 8 = 18 and then 1 + 8 = 9. I am not sure what this means but works with the pentagram, the regular polygons, the platonic solids, and many other geometric shapes not mentioned here.

If you scroll to the top of this page and compare all of the numbers up to here, you will see almost all of them add up to 3, 6 or 9. Nikola Tesla did say that "If you only knew the magnificence of the 3, 6 and 9, then you would have a key to the universe” so maybe this is important in some way. It seems obvious that Tesla was using the "beautiful" maths too. You can always tell when it has been used when you see octaves and major thirds of certain octave sets like:

**3**,**6**, 12, 14, 48, 96, 192...

**9**, 18, 36, 72, 144, 288...15, 30, 60, 120, 240...

27, 54, 108, 216, 432, 864...

45, 90, 180, 360...

All of the above numbers also add up to 3, 6 or 9...

1, 2, 4, 8, 16, 42, 64, 128, 256, 512... (octaves of 1) are obviously very important. They don't always add up to 3, 6 or 9, but 1 is the source of all numbers, so this makes sense.

The reason why these numbers keep showing up is mostly because they are very useful in mathematics, that is, they divide and multiply well without creating too many decimals and confusion. You can actually find most of them in among the highly composite numbers (very mathematically useful numbers).

The only problem is that the same number system exists in nature itself, and that was not meant to have been made using mathematics at all. Perhaps this mathematics is universal, and just exists everywhere no matter if humans are involved or not...

## Music

A good way to understand mathematics is to understand how vibration works, and the best way to learn about that is though music. Before you read on you should listen to the following song. It is made using a scale called "Ptolemy's intense diatonic scale", which as you will hear, sounds about the same as the standard equal temperament scale used to make music today. To the trained ear it is more harmonious and has a smoother vibration than equal temperament, but this is not always obvious to the average listener. The reason for this similarity as because the modern day equal temperament scale was really based on the older scales like Ptolemy's intense diatonic scale. So in the end, most modern music could said to emanate from the perfect mathematics I am about to describe.

If you are not a musician, here is a quick crash course:

Sound vibration is usually measured in "Hz".

Hz means "cycles per second".

So a 192 Hz sound vibrates 192 times in one second, while a 256 Hz sound vibrates 256 times in one second.

If you take a Hz frequency like 192 Hz and multiply or divide it by 2, you will get octaves of this frequency. So 3 Hz, 6 Hz, 12 Hz, 24 Hz, 48 Hz and 96 Hz are all octaves of 192 Hz, as are 384 Hz, 768 Hz, 1536 Hz and so on. 192 Hz is very close to our modern day G which is 195.997718 Hz, so when you have it in a music scale, calling it G makes good sense. Using a frequency like 192 Hz instead of 195.997718 Hz has obvious benefits when making electronic music, as its octaves can be dialed into plugins etc. Octaves of 195.997718 Hz will go over almost any software's decimal limit and will need to be trimmed, loosing accuracy and harmony.

In the original old scales, intervals between notes were measured using ratios, the real major third for example has a ratio of 5/4. Mathematically this means that the second note in the interval is the first note, multiplied by the first number in the ratio and divided by the second one. So, if you want to know what the major third of G = 192 Hz is, all you need to do is to multiply 192 by 5, and divide the answer by 4 (192 x 5 = 960, and 960 / 4 = 240). So the major third of G = 192 Hz is 240 Hz which is very close to the modern day B of 246.9416505 Hz, and so it can be called B too.

If you look at the lower octaves of G = 192 Hz in the above paragraph you will see that 24 Hz is 3 octaves below it, if you add a 0 to 24 Hz you will have B = 240 Hz which is the major third of G = 192 Hz. This works because adding a 0 is the same as multiplying a frequency by 10, which in music gives the same note as multiplying it by 5. So now you can see that numbers like 108, 1080 and 10800 and separated by a major third and 3 octaves.

The following chart shows the 12 tone version of Ptolemy's intense diatonic scale, it shows that ratios for all 12 notes, the Hz frequencies for 2 octaves and their matching bpms. Because there are 60 seconds in a minute, the bpms are reached by multiplying the Hz frequency of a lower octave of that note by 60. You can also divide a bpm by 60, for example 180 bpm / 60 = 3 Hz (180 bpm and 3 Hz are exactly the same frequency).

I chose G = 192 Hz as a starting frequency (reference pitch) because it caused the other notes to have mathematically useful numbers.

Sound vibration is usually measured in "Hz".

Hz means "cycles per second".

So a 192 Hz sound vibrates 192 times in one second, while a 256 Hz sound vibrates 256 times in one second.

If you take a Hz frequency like 192 Hz and multiply or divide it by 2, you will get octaves of this frequency. So 3 Hz, 6 Hz, 12 Hz, 24 Hz, 48 Hz and 96 Hz are all octaves of 192 Hz, as are 384 Hz, 768 Hz, 1536 Hz and so on. 192 Hz is very close to our modern day G which is 195.997718 Hz, so when you have it in a music scale, calling it G makes good sense. Using a frequency like 192 Hz instead of 195.997718 Hz has obvious benefits when making electronic music, as its octaves can be dialed into plugins etc. Octaves of 195.997718 Hz will go over almost any software's decimal limit and will need to be trimmed, loosing accuracy and harmony.

In the original old scales, intervals between notes were measured using ratios, the real major third for example has a ratio of 5/4. Mathematically this means that the second note in the interval is the first note, multiplied by the first number in the ratio and divided by the second one. So, if you want to know what the major third of G = 192 Hz is, all you need to do is to multiply 192 by 5, and divide the answer by 4 (192 x 5 = 960, and 960 / 4 = 240). So the major third of G = 192 Hz is 240 Hz which is very close to the modern day B of 246.9416505 Hz, and so it can be called B too.

If you look at the lower octaves of G = 192 Hz in the above paragraph you will see that 24 Hz is 3 octaves below it, if you add a 0 to 24 Hz you will have B = 240 Hz which is the major third of G = 192 Hz. This works because adding a 0 is the same as multiplying a frequency by 10, which in music gives the same note as multiplying it by 5. So now you can see that numbers like 108, 1080 and 10800 and separated by a major third and 3 octaves.

The following chart shows the 12 tone version of Ptolemy's intense diatonic scale, it shows that ratios for all 12 notes, the Hz frequencies for 2 octaves and their matching bpms. Because there are 60 seconds in a minute, the bpms are reached by multiplying the Hz frequency of a lower octave of that note by 60. You can also divide a bpm by 60, for example 180 bpm / 60 = 3 Hz (180 bpm and 3 Hz are exactly the same frequency).

I chose G = 192 Hz as a starting frequency (reference pitch) because it caused the other notes to have mathematically useful numbers.

Here is the same thing as above only with the very low octaves, here you can see how G = 12 Hz while its major third is B = 240 Hz. You can also see that G# = 25.6 Hz in a lower octave, while its major third is C = 256 Hz in a higher one. This means that adding a decimal into a number lowers it by a major third and 3 octaves. If you look at the numbers with a decimal like G = 102.4 Hz or A# = 230.4 Hz, you will see that they have more recognizable numbers like G # = 25.6 Hz and A# 28.8 Hz as lower octaves. This is because they have that major third relationship to C = 256 Hz and D = 288 Hz.

You can use any Hz frequency as reference pitch (first note in the scale from which the others are calculated using the ratios).

In the following chart I have used higher octaves of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 and 15.

Because some of these are octaves of each other, you only need 1, 3, 5, 7, 9, 11, 13 and 15.

I have color coded all of the octaves of 1, 2, 3, 4, 5, 6, etc so that you can see how these numbers connect harmonically.

27 and 45 are there because higher octaves of 1, 3, 5, 9, 15, 27 and 45 give you Ptolemy's intense diatonic scale in G = 192 Hz !

In the following chart I have used higher octaves of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 and 15.

Because some of these are octaves of each other, you only need 1, 3, 5, 7, 9, 11, 13 and 15.

I have color coded all of the octaves of 1, 2, 3, 4, 5, 6, etc so that you can see how these numbers connect harmonically.

27 and 45 are there because higher octaves of 1, 3, 5, 9, 15, 27 and 45 give you Ptolemy's intense diatonic scale in G = 192 Hz !

If you look at the ratios and the lowest whole number octaves of the Hz frequencies in the above chart, it becomes obvious that the smallest whole numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, etc are the true source of all of this... Musically these numbers are of the greatest importance because they represent the harmonic series, which is the true source of all sounds and music.

The way the same numbers represent musical harmony and simple mathematics is quite interesting. It is almost as though confusing mathematics and disturbing musical intervals are one and the same. If for example you express the standard equal temperament scale as Hz frequencies, you will not get nice round numbers. Here is one octave of this:

261.625565 Hertz

277.182631 Hertz

293.664768 Hertz

311.126984 Hertz

329.627557 Hertz

349.228231 Hertz

369.994423 Hertz

391.995436 Hertz

415.304698 Hertz

440.000000 Hertz

466.163762 Hertz

493.883301 Hertz

523.251131 Hertz

The above numbers are actually even longer than what you see, it is only because the software I used has a 6 decimal limit that they end there. If you want to hear the difference between just intonation (simple maths) and normal equal temperament (messy maths) more clearly, listen to the examples below.

Major chord:

The way the same numbers represent musical harmony and simple mathematics is quite interesting. It is almost as though confusing mathematics and disturbing musical intervals are one and the same. If for example you express the standard equal temperament scale as Hz frequencies, you will not get nice round numbers. Here is one octave of this:

261.625565 Hertz

277.182631 Hertz

293.664768 Hertz

311.126984 Hertz

329.627557 Hertz

349.228231 Hertz

369.994423 Hertz

391.995436 Hertz

415.304698 Hertz

440.000000 Hertz

466.163762 Hertz

493.883301 Hertz

523.251131 Hertz

The above numbers are actually even longer than what you see, it is only because the software I used has a 6 decimal limit that they end there. If you want to hear the difference between just intonation (simple maths) and normal equal temperament (messy maths) more clearly, listen to the examples below.

Major chord:

As you can hear, the harmonic chord is smoother and more stable when compared to the more wobbly equal temperament one.

The Video below uses amazing visualization software that shows chords as moving patterns. Although these chords are in another key, the intervals between the notes are the same as in the above audio, and so they are actually the same two chords.

Now you can see and hear that simple maths with nice whole numbers sounds good when played as Hz frequencies, while maths with lots of decimals and confusion does not sound as good. The fact that these pleasing sound vibrations also mirror sacred geometry, ratios between the Sun, Earth and Moon and our way of measuring time is very interesting to say the least. Especially when you consider the fact that the Sun, Earth and Moon are meant to have formed naturally...

I am tired of writing now, so if you want to delve deeper into this you may want to read my books...

(Follow the links below and go to "look inside" to read the table of contents and first few pages for free).

I am tired of writing now, so if you want to delve deeper into this you may want to read my books...

(Follow the links below and go to "look inside" to read the table of contents and first few pages for free).

If you want to know more about all of this without buying anything, click the picture below to visit my other website, or join my Facebook group here: Life, the Universe and 432 Hz