Category Archives: Math and music

More than you wanted to know about e – part 1

Chambered nautilus

If you ever owned a scientific calculator or used one on your computer, it is still likely that you have never used the button that reads ex. One of the most interesting secrets of the universe is evoked by pressing that button, but I have never heard it explained well. This post will likely add little to help that situation…. Read more »

Hearing, seeing, and choosing in logarithms – part 2

In Part One of this series of posts, I demonstrated the non-linear “natural logarithmic” relationship between the frequency of a sound and our perception of it. Likewise, our perception of the volume of sound has this same “proportion-based” relationship, and I noted that this is true for our other senses as well. These are manifestations of what is called the… Read more »

Hearing, seeing, and choosing in logarithms – part 1


The fret spacing on a guitar can give us a very important insight into how human volition (i.e., choice or free will) works biologically, at the deepest level of our brain neurons. The insight is that the biochemistry of our nerve cells has a natural logarithmic, rather than linear, mathematics built into it, which is crucial to how we hear,… Read more »