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- The Pythagorean Tetractys, or how to build all of music with only the numbers 2 and 3
- Tonal Harmony in 3D
- Inventions / Reinventions
- #BachUpsideDown: Bach’s Goldberg Variations in chromatic inversion, explained
- Ruben the Squirrel & the Boston Marathon bombing
- Lee Konitz, 1927 – 2020
- A Few Things I’ve Learned About Livestreaming
- TriadSculpture for sale
- Negative Harmony: a primer
- McCoy Tyner: dance, drums, beauty salons & fourths
Author Archives: dantepfer
The Pythagorean Tetractys, or how to build all of music with only the numbers 2 and 3
The Pythagorean Tetractys, or how multiplying by 2 & 3 gets you all the notes you need, with stops at the Pythagorean Comma and Equal Temperament along the way. Like my previous post, a deep rabbit hole, but — to … Continue reading
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Tonal Harmony in 3D
I sometimes disappear down a rabbit hole, and this one was deep. I wrote a program that generates a map of tonal harmony as I see it in my mind when I do free improvisation in a key, as on … Continue reading
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Inventions / Reinventions
Inventions / Reinventions, my new solo album, came out today on StorySound Records. Listen here (US & Canada) or here (Europe & UK). It’s also available in physical CD format here. What follows are my album liner notes. How to … Continue reading
Posted in Music, Personal History
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#BachUpsideDown: Bach’s Goldberg Variations in chromatic inversion, explained
My first project of the 2020/21 pandemic was something I called #BachUpsideDown, an exploration of the sound of Bach’s music in chromatic inversion. During the early months of lockdown, I recorded myself performing the Goldberg Variations as written, and after … Continue reading
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Ruben the Squirrel & the Boston Marathon bombing
Something extraordinary happened to me in the spring of 2013. I found a squirrel. Or rather, the squirrel found me. It’s not all that uncommon, it turns out, but it sure felt special at the time. It all started on … Continue reading
Posted in Personal History
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Lee Konitz, 1927 – 2020
Thanks to JazzTimes for inviting me to write this memoriam. It appeared in their March 2021 issue commemorating lives lost to the pandemic. The photographs are by Josh Goleman, originally taken for our 2018 duo album on Verve, “Decade”. As … Continue reading
Posted in Music, Personal History
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A Few Things I’ve Learned About Livestreaming
“Thanks” to the pandemic, I’ve spent much more time figuring out how to deal with video and live streaming than I ever thought I would. It’s turned out to be a surprisingly rewarding experience. In no particular order, here are … Continue reading
Posted in Music, Science
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TriadSculpture for sale
At long last, I’m now offering my triad sculptures — the ones that I created while developing my Natural Machines project — for sale. Here’s the Major Triad (ratios 4:5:6) in natural sandstone: And here’s the Minor Triad, ratios 10:12:15 … Continue reading
Posted in Science
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Negative Harmony: a primer
Ever since Five Pedals Deep, my trio record with Thomas Morgan and Ted Poor, came out in 2010, I’ve gotten a steady trickle of emails asking about a particular tune on it called Back Attya. If you listen to it … Continue reading
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McCoy Tyner: dance, drums, beauty salons & fourths
The great McCoy Tyner, giant of jazz, huge influence on me and countless others, died a week ago, on March 6th 2020. Back in 2008, when I was 26, I had the privilege of interviewing him for French magazine Jazzman … Continue reading
Creativity and Its Sources / Tom McCarthy’s Remainder
Reading Tom McCarthy’s novel Remainder, which I love, I’m reminded of a realization I had a while ago: pure creativity is closely related to dreams — a mysterious place where new visions are somehow born. You dream, and you see … Continue reading
Posted in Books, Music
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Sister Canons in the Goldberg Variations
In Bach’s Goldberg Variations, every third variation is a canon at an increasing interval. The first (Variation 3) is at the unison (the canonic voice repeats the leading voice verbatim), the second (Variation 6) is at the second (the response repeats … Continue reading
The question, when performing
The question, when performing, is: “Am I putting up with anything right now? Is there something that I’m unhappy with that I haven’t addressed?” For example, awkward posture, which looks uncomfortable, will make the audience uncomfortable too, because it shows … Continue reading
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A Container for Nothingness
Two of my favorite jokes rarely get any laughs. I learned them both as a kid growing up in France. The first goes: Why do Belgians sleep with two water glasses by their bed, one full and one empty? One … Continue reading
Natural Machines
The Natural Machines album is out today, Saturday October 27th. I’m bringing the project to Le Poisson Rouge in New York on October 30th. The fine folks there asked me some smart questions ahead of the gig. Thanks to John … Continue reading
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Short songs with absurdly long codas
Form-wise, the Beatles’ Hey Jude is unusual. For 3 minutes and 8 seconds, it’s a conventional song, with melody, varying harmony, A and B sections that repeat in a predictable pattern — what you’d expect from a pop song. Then, for … Continue reading
The TRAPPIST-1 System: Listening to Planetary Orbits
(Cross-posted from WBGO.org. Thanks to Nate Chinen for inviting me to write this.) With most things, I’ve found, what’s most interesting isn’t the thing in itself, but rather how it relates to other things. In other words, everything is relative, … Continue reading
Posted in Music, Science
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Interview: Improvisation, Mountain Climbing & the Meaning of Life
I’ve got a little time off from touring so I’m cleaning house. While sorting through old papers I came across the interview below. Most of these answers still ring true to me today. It’s fun to hear from past iterations of … Continue reading
Birdman! Absurdity, theater, music & the importance of madness
I left the movie theater last night, post-Birdman, intensely moved. Rarely has a film gotten to me so directly. Birdman is a wacky movie that seems to be asking a serious question: why live? What keeps us trucking on and floundering and … Continue reading
Doing It Bachwards: my unexpected Goldberg Variations
(Cross-posted from UCLA’s Ethnomusicological Review. Thanks to AJ Kluth for inviting me to write this piece for the journal.) As I look back over the last ten years and the peculiar journey with J.S. Bach that the time represents for me, … Continue reading
Lee Konitz on Spontaneity, Originality, Drugs & Playing Sharp
Lee Konitz will be turning 87 in October, and his long and distinguished career as one of the most singular saxophonists in jazz needs no introduction (but if you need one, it’s here). He is known in particular for his … Continue reading
The New Logic, Objectification, & Bob Dylan
When I got back home to Brooklyn from tour a couple days ago, one of the things I did was buy Logic Pro X, a big update to a music production app I’ve used for a long time. To get a … Continue reading
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Rhythm / Pitch Duality: hear rhythm become pitch before your ears
I just got home from a five-week tour in Europe and finally have some time to do what I call research. The way I see it, being a touring musician is a bit like being a scientist: you spend a … Continue reading
Algorithmic Art
My dirty little secret is that I can be a pretty serious nerd sometimes. While I was procrastinating from writing a piece for nonet a few months ago, I reopened a computer program I had started working on in 1998 … Continue reading
Questions from the Atlas
I’m bringing my trio with Ted Poor and Ben Street to the Atlas in Washington DC tomorrow night (Wednesday, May 30th, 8pm). Brad Linde, who curates the jazz series at the Atlas and is also a saxophonist/bandleader of renown on … Continue reading
Konitz Playlist
A few months ago, JazzTimes asked me to choose ten tracks from Lee Konitz’ recorded work that stand out to me in his career. Here’s what I came up with. Lee Konitz Playlist – Dan Tepfer Lee Konitz started recording in … Continue reading