## Music is math

Many years ago, I developed an urge to make music that is in harmony with earth, other planets, or even the whole universe. I started my journey on the web, where I discovered 432 Hz, the solfeggio 528 Hz thing, various websites with frequencies for various planets and loads of other conflicting information. It soon became obvious there was no way to discover the actual "frequency of the universe" by reading all of these web pages, so I started to read about binaural beats and isochronic tones instead. This was more scientific, had been proven in real labs, and actually made sense. While reading about this I learned that your brain mirrors all sounds that it hears, and that it prefers sounds that follow the harmonic series as closely as possible. To put it simply, sounds that are in good vibrational harmony with each other are more pleasant, while sounds that do not connect to each other well are not so great. So I decided that if I could not find the true frequency of the universe, I would simply try to tune all aspects of my music to each other. Then everything would work together creating more unified brainwaves, and therefore more pleasant music.

This seemed simple enough until I tried it in my DAW (Cubase)... When I did I realized that all software has a decimal limit, for example you can enter 120.123 BPM into cubase, but not 120.12345. Other software like the Hz based plugin that I use to make binaural beats can only have 2 decimals, so a brainwave frequency of 1.12 Hz would work while 1.123 was too long.

So, what I needed was a scale with some very specific properties.

1: It needed to have 12 keys that are in good harmony with each other so that I could make a nice sounding album with it.

2: These 12 keys needed to have less than 4 decimals as Hz frequencies so that I could enter them into my scale making software.

3: They also needed low decimals in their very low octaves so that I could enter them into my binaural plugins.

4: And they needed 12 harmonic BPMS (Hz x 60 = bpm) that have less than 3 decimals for entering into Cubase.

It took some time, but I eventually designed such a system. I would like to say that I invented all of this, but after further study, it seems like the mathematics behind it is really as old as time itself... As far back as ancient Babylon the same problem was encountered, not because of the decimal limit of computers, but because of the physical limits of clay tablets that they wrote on. This is the real reason why all of the scales in my book contain numbers found in ancient mathematics. Because the same maths was used. It also explains why the numbers in the scale mirror so many ancient texts measuring times and distance. Because the same mathematics was also used to measure these things. Even the length of the second was defined using this maths.

Here is a chart that pretty much sums the whole system up. Everything is in harmony. The Hz frequencies show you many octaves of the same note from left to right. And the BPM's on the far right are very low octaves of the same note. So all of them are playing the same musical note on the far left of the chart.

This seemed simple enough until I tried it in my DAW (Cubase)... When I did I realized that all software has a decimal limit, for example you can enter 120.123 BPM into cubase, but not 120.12345. Other software like the Hz based plugin that I use to make binaural beats can only have 2 decimals, so a brainwave frequency of 1.12 Hz would work while 1.123 was too long.

So, what I needed was a scale with some very specific properties.

1: It needed to have 12 keys that are in good harmony with each other so that I could make a nice sounding album with it.

2: These 12 keys needed to have less than 4 decimals as Hz frequencies so that I could enter them into my scale making software.

3: They also needed low decimals in their very low octaves so that I could enter them into my binaural plugins.

4: And they needed 12 harmonic BPMS (Hz x 60 = bpm) that have less than 3 decimals for entering into Cubase.

It took some time, but I eventually designed such a system. I would like to say that I invented all of this, but after further study, it seems like the mathematics behind it is really as old as time itself... As far back as ancient Babylon the same problem was encountered, not because of the decimal limit of computers, but because of the physical limits of clay tablets that they wrote on. This is the real reason why all of the scales in my book contain numbers found in ancient mathematics. Because the same maths was used. It also explains why the numbers in the scale mirror so many ancient texts measuring times and distance. Because the same mathematics was also used to measure these things. Even the length of the second was defined using this maths.

Here is a chart that pretty much sums the whole system up. Everything is in harmony. The Hz frequencies show you many octaves of the same note from left to right. And the BPM's on the far right are very low octaves of the same note. So all of them are playing the same musical note on the far left of the chart.

In its low octaves the scale contains: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16... and also the same numbers with a decimal added: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.8, 0.9, 1.0, 1.2, 1.5, 1.6... If you are looking for a simple system with low decimals in its frequencies over many octaves, you really can't get much better than this.