I’ve been listening to yesterday’s chord progression showing off the b7. I think it offers an excellent opportunity to hear the difference between equal temperament and just intonation. Equal temperament works by implying or evoking a note rather than playing it exactly. There are dozens of singable notes per octave; ET represents them all with just…
Doubling the frequency of a note certainly changes it. The ear hears a higher-pitched note. But there is something in the essence of the note that does not change, a character that stays consistent through the octaves. This allows a process called octave reduction. When you’re working with notes as ratios, it’s convenient to multiply or…
Notes are pitched sounds. A given note means little by itself. It could be the tonic of a key, or some member of a scale based on a different tonic. By itself, it generates no tension, resolution or sense of place on the harmonic map. So when I name a note in this blog, I’ll…
When I first learned to play guitar, I would sit on the couch late at night and pluck the low E string, again and again, and just listen to the beauty of the sound as it died away. That low E note is not just a simple vibration. The full length of the string is…
I grew up thinking that music was made with a particular set of twelve notes, the ones on the piano keyboard. I had a vague sense that there were other scales in the world, but I thought of them as “more primitive” or perhaps subsets of the 12-tone scale, like that pseudo-Asian music you make…
Over the next series of posts, I’m going to explain how the lattice in the Flying Dream video works. Before I do, I want to take time to mention a terrific book. I started investigating just intonation in earnest in early 2011. A couple of months in, my friend Kay Ashley loaned me her copy…
A note, in music, is a sound with a particular pitch. Pitch is frequency, measured in cycles per second, or Hertz (Hz). The faster the vibration, the higher the pitch. A vibration, at, say, 220 Hz, all by itself is a note by that general definition. But the note doesn’t acquire its distinct personality until it’s…
It may be Keats’ most famous pair of lines: ‘Beauty is truth, truth beauty,—that is all Ye know on earth, and all ye need to know.’ I believe he’s right on the money. I think that when we experience beauty, it’s because we have seen a little deeper into the nature of things. This seems…
Pythagoras was a Greek philosopher who lived about a century before Athens’ golden age. Some time before 530 BC, he had an epiphany. He had been investigating vibrating strings, and found that when you cut the length of the string in half, the note it makes is an octave higher. Sound is vibration. When one…