Tuning is the final frontier of my musical understanding. I start reading about it, and then I hit a big table of fractions or logarithms and my eyes immediately glaze over. However, tuning is important and interesting! So I continue to struggle on. Fortunately, as with so many music theory concepts, the right computer software …
Continue reading “The problem with just intonation – a visual guide”
Bach wrote The Well-Tempered Clavier as a showcase for a new tuning system that could play in all twelve major and all twelve minor keys. Up until that point, the various European tuning systems only worked for some keys, not all of them. If you were in or near the key of C, you were …
Continue reading “The Well-Tempered (and not-so-well-tempered) Clavier”
Western people like two things in harmony: intervals derived from the natural overtone series, and the ability to play in multiple keys. Unfortunately, it’s not possible to do both of these things within the same tuning system. If you want to use just intonation intervals derived from harmonics, then they will not work in every …
Ashanti Mills from my Patreon had a brilliant idea. He said, hey, you know how you combined interviews with Toni Blackman with hip-hop songs to explain hip-hop pedagogy? You should do that with music theory: have songs that explain their musical content to you. This is one of those ideas that seems obvious as soon …
We all love This Is Spin̈al Tap, but you’re not supposed to take it literally. Nevertheless, this very silly Rolling Stone article tries to prove Nigel right. The author is a doctoral student in quantitative methods. She should probably have asked a music theorist about this before publishing it, or really any musical person. I …
Continue reading “No, Rolling Stone, D minor is not the saddest of all keys”
First, some niche Twitter comedy: Twelve-tone equal temperament is socialism, Make Intonation Just Again — ethanhein.bsky.social (@ethanhein) June 26, 2020 The Well-Tempered Clavier is a book of JS Bach compositions for keyboard instruments in each of the twelve major and twelve minor keys. The name refers to Bach’s preferred tuning system, which made it possible …
Continue reading “What does the Well-Tempered Clavier sound like in actual well temperament?”
Jacob Collier is the internet’s favorite musical virtuoso. Here’s his mostly acapella arrangement of a Christmas carol called “In The Bleak Midwinter.” The most remarkable part of this arrangement comes between the third and fourth verses, when Collier modulates from the key of E to the key of G half-sharp. That’s the key which is …
Short answer: because math. Longer answer: because prime numbers don’t divide into each other evenly. To understand what follows, you need to know some facts about the physics of vibrating strings: When you pluck a guitar string, it vibrates to and fro. You can tell how fast the string is vibrating by listening to the …
Did you know that the man has some guitar lessons online? I did not. They are invaluable. Let him show you how it’s done.
If you’re a guitarist, you may have noticed that it’s hard to get your instrument perfectly in tune. This is not your imagination. If you tune each string perfectly to the one next to it, the low E string will end up out of tune with the high E string. If you use an electronic …
