Nerd.
My mom always told me that the first word I ever spelled was “Chevrolet”. C’mon, how many kids spell Chevrolet? This comes from having a dad who worshiped anything and everything Chevy, he was a car freak who fixed engines, went to junk yards for parts, went to auto stores just to be… there. He was not an auto mechanic by trade, but rather an engineer. His love of fixing things did not rub off on me at all, I fix shit and I prefer buying a new one. But what I did enjoy was his knowledge and admiration of the mechanics and dynamics of what made a car run, and why. If he fixed a certain car and didn’t have the right part, he knew all of the “alternate” parts. If something needed to be modified, he would do his best to dig through his boxes of magazines and do it himself, always did it himself. If he could do it cheaply but properly, he would take all morning, dad, and night. Maybe it was to get out of the house, but still, he wanted to be in that machine. I could relate to this, even though cars were and are not my thing. The kind of machine I wanted to be in looked like this:
We remember how it all began. 1 is not just one, it can be two halves: 1/2 and 2/2, with 2/2 representing both halves. Then things could be divided even more. You learn about the numerators and denominators, how 1/2 = 2/4 = 4/8, etc. I would remember these numbers and sequence of things, and as anyone into math will tell you, once you have a sense of how these number systems work, you eventually find shortcuts to get to the equation. That leads to percentages, not only of “one” or a “whole”, but of different numbers. That would lead to how to count your change when you gave the cashier at a dollar, you’d learn how much you would get back and why. All of these things I really enjoyed knowing and studying, because they were mental games. I loved puzzles, quizzes, anything that had to do with challenging the mind, and perhaps that’s why I got into “enrichment” class, for the nerdy/geeky kids. They saw me as someone who wanted to not challenge myself, but find more things to be challenged by.
Music has always been a part of me, or at least my surroundings. Some things come natural to me, in that if I hear a song, I would have a sense of its rhythmic patterns or time signatures. At least the basic stuff, such as the standard 4/4 time signature, or a 3/4 waltz rhythm. As I would read more about music and how it works, I’d discover that songs could be more than 4/4 or 3/4. Or if a song was 4/4, you could do a number of different things in that 4/4. If a song sounded complex, I’d wonder about its sequence and try to figure it out in my head, or clap it out. Eventually, I figured out that a lot of the music I was listening to was mathematical, which lead to those fraction lines.
It was one of those “Bobby Brady fireworks in the head” moments. The music I loved also had games in them? Well, I know I didn’t say that, but I realized that music could be more than just the surface, that it might be filled with many layers. I am always curious about why certain sounds and songs work. Or if I heard a song like, let’s say, Blind Faith‘s “Do What You Like”, I’d want to know if the entire song is 5/4. It is, not unlike Lalo Schifrin‘s theme to Mission: Impossible.
As I got into progressive rock and heard King Crimson‘s “21st Century Schizoid Man”, I enjoyed the mid-section of the song commonly known as “Mirrors”. When the song comes out of the driving first part and the tempo increases, the time signature turns to 3/4. For the longest time, I could not figure out the segment that switches over to something else at the 4:40 mark:
I love this song and yet could not figure out that section. In my 30’s, after 20 years of hearing this song countless times, I realized when that fast section switches over, it moves from 3/4 to 4/4, and there are all of these intricate things going on before that sequence is played twice, wraps itself up, and heads back into the 3/4 for awhile before returning back into that slow grinding 4/4 groove. I remember when I discovered this, I thought “why didn’t I sense this when I was a teenager?” Keep in mind that I loved the different time signatures and bars of jazz and prog rock, which I’m a fan of, but sometimes things may not fully click until much later.
1… 2… 3…
1… 2… 3… 4…
1… 2… 3… 4… 5…
1… 2… 3… 4… 5… 6…
1… 2… 3… 4… 5… 6… 7…
1… 2… 3… 4… 5… 6… 7…
1… 2… 3… 4… 5… 6…
1… 2… 3… 4… 5…
1… 2… 3… 4…
1… 2… 3…
Significance? The sum of 3 + 4 + 5 + 6 + 7 is 25. That numbered sequence is reversed, so 25+25 = 50, a reference to the 50th anniversary of India’s independence from England. When I read this, I thought “wow, you can do that with music?” That’s when I decided to do a song using that same sequence, but in my case, the 50 would represent where I’m from, Hawai’i, which is the 50th U.S. state. I don’t have the audience or appeal of Shankar, and while I did come up with great results, it could have been a lot better if I added more elements to the track. Nonetheless, it was still fun to do.
You may not think “mathematical” when it comes to Paula Abdul, but in her video for “Forever Your Girl”, she was trying to teach a young girl how to dance in a certain sequence, and did so by trying to tell her where to do certain things in a sequence of 8 beats. The look on the girls’ face when Abdul says “you’re on” seems to be an expression that a lot of people have when you describe the time signature or pattern to them.
A lot of people fell in love with Outkast‘s “Hey Ya”, leading to countless cover version in a number of different styles. Part of its appeal is that the time signature is 22/4, or 4 + 4 + 4 + 2 + 4 + 4:
There’s also De La Soul‘s “Stakes Is High”, and outside of it being a Dilla production, what people like about it is because it is not the normal hip-hop 4/4 rhythm. In this case, it’s 12/4, or 4 + 4 + 4:
You also have one of my favorite DJ Shadow songs, “Changeling”, which is 14/4, or 4 + 4 + 4 + 2:
Music is the same way. Math is always a part of the equation, but you can have the freedom to bob and weave out of it if you follow the rules that are in play. Even with rules, you can still have fun with it. As a listener, or as a creator of sounds, math is important. It may not make people dance “on the on” at first, but with enough practice and dedication, you’ll get to the sum of that equation. Music should make us feel, and a lot of times it makes us happy, so if you’re happy and you know it, clap your hands.
Clap, clap.
One, two.