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 …
Continue reading “I made some music using modes of the harmonic series”
In Adam Neely’s new video, he responds to a question about how “the major sixth was illegal in the Renaissance.” This isn’t quite true, they liked major sixths fine in the Renaissance, but it is true that medieval theorists considered them to be dissonant. Adam quotes an anonymous medieval music theorist who called the sixth …
Continue reading “Why did 13th century Europeans think that major sixths were dissonant?”
Why do the black keys on the piano each have two different names? If the posts on r/musictheory are any indication, this is a persistent point of confusion, especially when music theory teachers get all persnickety about using the correct name. This confusion applies to all of the black keys, but in this post, I’ll be …
Continue reading “Why are D-sharp and E-flat considered to be two different notes”
My blog stats have made it crystal clear that very few of you want to read about tuning systems. However, a vocal minority of you do love reading about them, and I definitely enjoy writing about them. So, let’s dig in and see how much Western harmony we can derive from the natural overtone series!
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 …
Continue reading “Seventh chords in just intonation vs 12-TET”
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 …
Continue reading “The blues and the harmonic series – 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 …
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 …
