This post is a continuation of my explainer on the difference between F-sharp and G-flat. To sum that one up: in our present-day standard tuning system, F-sharp and G-flat sound the same; the only difference between them is notational. In historical tuning systems, however, they sounded quite different. Tuning is hard! In this post, I …
Tag Archives: just intonation
F-sharp vs G-flat in just intonation
As I gear up for teaching music theory in the fall, I’m still refining my explanation of Western music’s arcane naming system for enharmonics. Why is the note between F and G sometimes called F-sharp and sometimes called G-flat? Why do we sometimes call the interval between that note and C an augmented fourth, and …
Understanding intervals
There are two ways to understand intervals: the right way, and the way I learned them. Before we get into that, let me point you to some good resources for learning the right way. I like the online tutorials by Robert Hutchinson, Chelsey Hamm and Bryn Hughes, musictheory.net and musicca.com. I really love Nate May’s visual …
I made some music using modes of the harmonic series
It’s a cliche to say that the harmonic series is the basis of all of music. It is true that the first five harmonics are the basis of Western tuning. The first seven harmonics are a possible basis for the blues. You don’t tend to hear much music based on the higher harmonics, but they …
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Just intonation harmonicas
A commenter on the last post informed me of a remarkable fact: for most of the twentieth century, Hohner harmonicas were tuned in just intonation, not twelve-tone equal temperament. This is surprising! Just about every fixed-pitch instrument in the Western world is tuned in 12-TET unless it’s highly specialized or esoteric. The most detailed information …
Check out this excellent blue note
I got a question from a Twitter friend: Oh @ethanhein, a blues tonality Q for you: On Muddy Waters’s “Double Trouble,” on the LP Sings Big Bill, James Cotton opens his harp solo w/a note so ripe it almost derails the record —yet somehow it works. My Q: what makes that note so bracing? Link: …
Seventh chords in just intonation vs 12-TET
I enjoy listening to Jacob Collier explain his music more than I enjoy the music itself. His arrangement of “Moon River” is mostly exhausting. However, Miles Comiskey pointed me to an interesting moment in this explainer video at the 1:04:22 mark where Jacob talks about how Kontakt enables you to change your instrument tuning on …
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The blues and the harmonic series – a visual guide
Does the harmony of the blues come from the natural overtone series? Is it a just intonation system that later got shoehorned into Western twelve-tone equal temperament? Whether the blues comes from just intonation, or just intonation happens to sound like the blues, this is a rich and promising avenue of inquiry, both for understanding …
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The problem with just intonation – a visual guide
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 …
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Just intonation and key changes
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 …