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I teach music lessons in Minneapolis and online videochat. I work with all ages and levels and a variety of styles. I specialize in creative exploration, music psychology, and conscious music practices. Visit the lessons page to learn more.
Showing posts with label music theory. Show all posts
Showing posts with label music theory. Show all posts

Friday, January 31, 2020

Featured on the Now&Xen podcast playing the Kite Guitar

I was featured on the Now&Xen podcast! Full link: https://nowandxen.libsyn.com/29268-cents-kite-giedraitis-aaron-wolf-spencer-hargraves-jacob-collier

Here's an embedded player:


The "xen" in the podcast name refers to the prefix that means "strange" or "foreign" (so xenophobia is fear of foreign people or things, xenophilia is love of them). In this case, it refers to xenharmonic, a term for musical tunings that feel foreign.

In the podcast, I'm playing on and discussing the amazing Kite Guitar, named for my friend Kite Giedraitis who discovered the tuning and invented a practical language around it.

Sunday, January 14, 2018

My new Strum & Sing group class

Over my career, I've taught a variety of group classes covering a range of topics from general blues-rock/jam to classical ensembles to music-theory-and-cognition. Most of my students were school-age kids.

Now, I'm starting a new adult-focused (but younger students welcome too) beginning Strum & Sing class. Here's the flyer:


A new, more flexible approach to beginning guitar

The focus of the class will be students keeping a good rhythm while playing simple chord progressions and singing songs. Depending on each student's preference, any option that works will be fine including power chords, single-note bass-lines, small bits of chords, open-tuned bar or slide chords, various strummable instruments, or even muted percussion strumming. This addresses one of the biggest challenges of a group class: how to work with both absolute beginners and more experienced students playing together.

Unlike the way most teachers do this, I'm going to focus on the flexibility of some basic music theory contexts. We'll learn songs using common letter counting such as 1, 4, 5 which could be A, D, E or C, F, G, and so on.

The main emphasis: that there's no one right way to play any song. We can adapt and adjust to fit what works for our level and context. So, we'll explore multiple approaches so that each student can find a comfortable way to fit with the group and learn to be flexible musicians going forward.

For those in Portland, contact me if interested in joining the class. For consideration of the pros and cons of classes versus private lessons (versus other learning approaches like watching online videos etc.), see my old article on comparing learning options.

The rest of this article gets into some initial thoughts about the folk-song / pop-song focus of this new class…

Tuesday, June 12, 2012

Book Review: Guitar Zero by Gary Marcus

At 40 years of age, Gary Marcus had no music training and no apparent musical talents, but he loved music. With the excuse of testing the learning capacity of adults, he decided to commit to really giving music a try for the first time. In his 2012 book Guitar Zero, he tells of his experience. More significantly, he somehow managed to condense a vast overview of diverse research in music psychology and the psychology of learning into a fun read for all audiences.

If you assume this to be an instructional book, you will be overwhelmed. To follow the path of Professor Marcus, first become a tenured faculty at a well-funded institution; then get a paid sabbatical. As Marcus clarifies, the lack of dedicated time is the primary obstacle for most adult attempts at learning new skills. So, now that you have time, funding, and professional connections to call on, the next steps are simple: Make arrangements to meet some of the most famous living musicians; go take lessons with several of the very best teachers; and get the top experts in music psychology and theory to personally answer your questions and advise you on what research to read. With these simple steps, you too can become an adequate amateur musician!

Of course, Marcus is not suggesting that others could follow in his steps exactly. Instead, this book is more about the science of music and the science of learning, as told through a quirky personal story. Simply put, there's been no way to test theories about adult learning versus child learning. Children regularly put in persistent commitment over many thousands of hours; and researchers can't find adult beginners able to do the same. So Marcus decided to be subject number one.

Saturday, October 8, 2011

Review: Musical Cognition by Henkjan Honing

Musical Cognition: A Science of Listening is a short, concise book for popular readers that describes University of Amsterdam professor Henkjan Honing's particular views of music. This review is of the 2011 English translation recently published by Transaction Publishers.

With only 160 brief pages, this is a relatively quick read. The book is more like a long pamphlet introducing basic ideas but not getting deep. The writing style is very accessible and clean, with no technical jargon, notation, or traditional music theory. The 15 short chapters have clear internal breaks and section headings, so it is very easy to digest this in tiny chunks, which is something I appreciate in any book, whether popular or technical.

Monday, June 6, 2011

Review: How Music Works by John Powell

Since I first learned about things like tuning and temperament, the cognitive processing of rhythm, and the perception of timbre, I have had thoughts of writing some sort of universal how-music-works book. Music is usually taught through cultural context (sometimes without revealing this angle), and little to no mention of universal perceptual and cognitive facts. Clearly, however, I am not alone in having this idea of writing some universal music book. John Powell's 2010 book How Music Works: The Science and Psychology of Beautiful Sounds, from Beethoven to the Beatles and Beyond has a same main title that is included in the subtitle of the book I previously reviewed by Philip Ball from just earlier in 2010. These two books are far from alone in this burgeoning arena of authors hoping to enlighten the world to their grand universal insights on the nature of music. Unfortunately, these attempts all fall short of what I would like to see. If I had the same standards as John Powell, I would probably have already written my submission to the field. But I'm trying to learn from the attempts of others first and/or to find existing books I can truly recommend without qualification (Music and Memory: An Introduction by Bob Snyder being among the best I've yet found).

Saturday, March 19, 2011

Tonal Plexus microtonal keyboard: 3 videos

In 2008, I became one of the first owners of a Tonal Plexus keyboard from H-Pi Instruments (a mostly one-man production of owner Aaron Hunt, who hand-builds the keyboards and creates the supporting software).

I had already deeply studied pitch in music through barbershop harmony, alternatively tuning my guitars, listening to software tone generators, listening to a wide variety of music from around the world and from composers who explored pitch (such as Lou Harrison, Harry Partch, Toby Twining, Jon Catler, and many others), and through extensive reading (including Hermann Helmholtz, Easley Blackwood, Bill Sethares, and many more).

At one time, I had hoped to find some simple scale or guitar tuning or guitar fretting system that would achieve the sounds I was seeking; but no optimal system seemed possible. If I wanted one chord tuning, it interfered with tuning another chord. Frets would have to be so close together, that I might as well have no frets. No frets allows any pitch, but then it is much harder to avoid errors in tuning. Violinists and barbershop singers work hard enough to get one pitch tuned just so. Achieving consistent accuracy (to the degree that I want) with multiple notes and complex chords all on a single stringed instrument is unrealistic.

With the Tonal Plexus (TPX) keyboard, a whole new flexibility is possible without sacrificing accuracy. The sheer number of pitches approximates a complete pitch continuum. In other words, the very low-bit digital system of the traditional keyboard or fretted instruments is rough and blocky, like an old eight or sixteen color computer screen, whereas the Tonal Plexus is still digital but is more like 8-bit or 16-bit color (meaning hundreds to thousands of colors) on a computer monitor which can much better approximate the full color spectrum. Full analog devices are completely continuous, but being digital offers more accessible accuracy. I can press a specific button and get a specific predetermined pitch.

On the downside, the TPX cannot achieve the natural fluidity of analog instruments like fretless strings or the human voice. Also, the lack of touch sensitivity further limits the keyboard's expressive potential. Of course, adding touch sensitivity for so many buttons would make the instrument prohibitively expensive, if it were even possible. At least there is a randomization option for velocity as well as a whole-keyboard option for volume and velocity control via footpedals. It is worth noting that harpsichords and organs have still been used to make effective music despite their lack of touch sensitivity.

While I learned much upon initially playing with the keyboard, I found it frustrating that it still could not achieve quite what I wanted. The stretches seemed awkward. I wondered about all sorts of other alternatives. I decided to finally get a fretless guitar (see my 2009 video). The guitar's nuances and fluidity were thrilling, but it wasn't the full answer either. I've come to accept that my imagined complete instrument may simply be practically impossible (even though simultaneous fluid melodic motion, precise harmony, harmonic deviance, and control of touch sensitive nuance is — in principle — possible). Maybe touch-sensitive multi-touch computer screens along with some complex algorithmic tuning will get closer, but we're not there yet.

In the end, I have realized that what matters more is the human context: the cultural and psychological experience of music over the details of the objective form. And yet, I am convinced that much of the pitch subtlety available on the TPX is psychologically relevant. I have much more to study and hope to get more involved in that sort of research, but that's a subject for another time.

In an effort to be less idealistic and perfectionist, I have gone back to the TPX to show off its unique capabilities. It certainly can do particular expressive things that no other musical instrument has ever achieved. It is worth appreciating that without worrying about the compromises. All instruments bring different insights and potential, and exploring the Tonal Plexus for what it offers has been very enriching.

With help from my friend Doug Jones doing the camera-work and providing some direction and feedback, I have made an initial set of videos on my TPX. The first is an introductory explanation:



Next, a melodic improvisation over a drone:



Finally, a barbershop tag in just intonation:



[note: click the links to YouTube to read the specific descriptions I wrote of each video]

More videos will come soon. I hope these first ones highlight just a little of the enormous potential here. My future with this could include more careful practice, maybe detailed compositions, additional controllers for more timbrel and dynamic (and even additional pitch) nuance, and coordination with other instruments and musicians.

I welcome any comments or questions, though I suggest that anyone interested in the theory explore the H-Pi website first. There, Mr. Hunt has included everything from history to theory about much of the ideas behind this keyboard. He also offers software including a FREE virtual version of the keyboard (which is also used by owners to create alternate tunings or other adjustments). H-Pi also offers software for ear-training, an alternate-tuning device for standard keyboards, and much more.

Thursday, January 6, 2011

Review: The Music Instinct by Philip Ball

It is at once mundane and yet remarkable how much one's impression of the world is influenced by what one focuses on. In college, I was taught traditional eurocentric classical music theory. Though some exceptional professors had broader perspectives, it seemed they were still resigned to the primacy of the conservative traditions. Not wanting to be an ignorant critic, I made a conscious effort to understand and appreciate the traditional views. Later, I did the same with guitar pedagogy: reading through all the classical literature to understand that perspective. I learned a lot and valued some of the ideas, but I felt small and alone in my persistent interests in music cognition, ethnomusicology, and other less-classical approaches.

More recently, I began seeking out more cutting edge contemporary research. At first, I had little guidance because most of my professional acquaintances have only superficial awareness of the questions that interest me. But then one connection led to another, and I was soon overwhelmed with books, journal articles, conferences, websites, music, and names. It seems I wasn't so alone after all. Now I feel as though I am just one of a vast number, possibly even a majority, of younger researchers and teachers who are fully engaged and open to the broad perspectives on music that are available in the 21st century. It now seems to me that everyone acknowledges the validity of all the world's musics, appreciates the insights of cognitive neuroscience, and is interested in the whole complicated discourse of various perspectives. But, is this impression just a result of with whom and with what I am now surrounding myself? I think the reality is somewhere in the middle.

Philip Ball's new book The Music Instinct: How Music Works and Why We Can't Do Without It presents an impressive overview of the current issues in music scholarship, balancing respect and awareness of both classical perspectives and the important questions of global and scientific insights. Reading it, I felt very humbled. How can this popular science writer (who is not a career musician and who has covered a wide range of subjects from art to physics to biology) be so knowledgeable about all these music issues that took me years of study to understand? He even seems to possess a thoughtful perspective on evaluating it all.

Ball starts off with an introduction that beautifully addresses the concerns that I and others have dealt with in today's world of music. It emphasizes the inherent musicality of cognitive music listening skills over the Western emphasis on performance and note-reading. He addresses the concerns that ethnomusicologists have about attempts to understand music universally. He deals with the philosophical questions of music's significance to humanity.

Ball's book, along with other recent popular titles like This Is Your Brain On Music by Daniel Levitin and Musicophilia by Oliver Sacks, is another sign that the zeitgeist is shifting. The questions I have been asking for a long while are now mainstream. (Incidentally, I was excited to see Ball using the same music/cooking analogy which I developed independently). As I read further, however, I found that The Music Instinct is a mixed attempt, still hampered by some of the older assumptions and terminology. The Western art music tradition is foremost, balanced mostly by reference to Western popular music. Ball understands and explicitly states that non-Western music traditions are as rich, but he knows less about them and so offers little in that direction aside from some minor mentions. While his attitude is commendable, his compilation of a wide range of subjects is a jumble of blocks that struggle to cohere into a greater whole.

The main value of this book is its up-to-date overview of many of the interesting subjects at the forefront of musicology today. I see it as a signpost in the exciting progression of our understanding of music. It does not get all the way to the destination that is in sight — a place where understanding of music will be comprehensive, better organized, and liberated from cultural or historical bias.

The Music Instinct fails to justify the subtitle of "why we can't do without it." Even the known benefits of music, such as making repetitive work more fun and tolerable, are not addressed here. My own consciousness was raised by the remarkable movie Sound and Fury. In one scene, some members of the deaf community, happy — even proud — in their deafness, dismiss the supposed importance of music. I think, in fact, we can do without music, though I, for one, certainly prefer having it. And I enjoy understanding music enough to appreciate Philip Ball's compendium of issues in musicology despite his imperfect organization. I'm just not quite sure to whom I could recommend the book. It is too difficult a read for any true novice, not optimal for teaching music appreciation or theory, and not in-depth enough for serious academics (I was particularly frustrated that he mentions studies sometimes without any identifying title or citation). Perhaps the best fit is someone like me: already aware of many of these issues but interested in reading different perspectives.

Read on for more content summary and further discussion:

Thursday, October 7, 2010

Octave equivalence? Not so fast...

Sometimes I just feel like such an iconoclast in the world of music theory and pedagogy. Today I was inspired to make a video that attacks one of the most basic precepts of Western music theory: the idea of octave equivalence. To be sure, I'm far from the first to question the nature of octaves. I was inspired because today during a break I was practicing and came up with a very straightforward and accessible way to present one angle on the subject... read on and see the video below:

There are so many problems with the generic idea of octaves as taught in Western music that I can't get into them all here. The question of why do we treat octaves as equivalent has to be qualified by questions of when. In Bill Sethares' notable book Tuning Timbre Spectrum Scale (the link includes summary and samples), he describes and provides audio examples of how the idea of equivalence and blend is related to the particular vibrations in a sound's spectrum. Among the simplest examples, as piano tuners know, the inharmonicity of hammered (or plucked) strings can lead to stretched octaves. Bill goes on to discuss harmony for completely inharmonic sounds as well, which is a whole further (and very interesting) issue.

There have been many attempts to explain why the octave is so significant, some based on carefully controlled scientific experiments. What we know about octaves is that they are, at the most basic, a doubling (or halving) of vibration speed (or close). Because of that, they blend very well and fit into the same overall periodicity. Men and women have likely been singing octaves since prehistoric times. The vast majority of all the world's music treats the octave specially, usually with equivalency, giving the same note name to pitches at an octave.

While the significance of octaves must be acknowledged, there is more than enough evidence to disprove any claim that octaves are absolutely universally equivalent. Octaves are not fully equivalent. They sound different. Harmony does not work the same way at all octaves. A close position major chord sounds great in middle to high ranges, but move it down some octaves into bass ranges and it sounds muddy even if the tuning is not tempered. The vast majority of all guitar methods teach that octaves are equivalent and so any combination of C, E, and G makes a C chord; but the very same books near-universally teach students not to play the low E when holding a C chord. That E doesn't fit as well the harmonic series of the rest of the C chord, so it sounds rougher. If they explain at all, most books and teachers just say that while E is technically part of the chord, we just don't play it because it sounds bad. Some books say it is because the lowest note should be C for a C chord. And yet there is widespread acceptance of the same chord with a low G bass note (which fits the harmonic series in that octave better than the E). Explaining all this is simple once we drop the idea that octaves are totally equivalent.

Another great example is Diana Deutch's Mysterious Melody. She shows how if the octaves are mixed up in a melody it is unrecognizable. Significantly, however, once the melody is known by hearing it normally, then one can still hear it within the mixed-up-octaves version! So octaves have some equivalence: they can substitute for one another if our expectations are clear. But they aren't fully equivalent; it is based on expectations and context.

A common question says, "if octaves are equivalent because they fit into the same periodicity and are a simple 1:2 ratio and part of the harmonic series, wouldn't the 1:3 ratio be comparable and therefore also be equivalent?"

Maybe octaves are more significant because of cultural reinforcement. Maybe it's because men and women don't have such different ranges that they would sing at an even further 1:3 ratio. Maybe it's because 1:3 can be divided by 1:2, thus making 1:1.5 which is not as simple and thus 1:2 is more absolutely basic... but maybe we shouldn't even assume that 1:3 can't be equivalent. Maybe it can be.

I was playing around with this today and decided to make a video showing how effective it is to play at a set 1:3 ratio (called a twelfth in standard Western music theory terms counting letters; also called a tritave in harmonic terms because it's a multiple of 3)


Notice how the final note in the video sounds fully resolved (it does to me anyway). Both the low and high notes each feel not just like part of a tonic harmony but actually feel like the main tonal center, even though one is E and the other is B. But this isn't bitonality to me, though it might be arguably similar. I think this is more like twelfths/tritave equivalency and feels about the same as octave equivalency, just lacking the life-long cultural reinforcement. Maybe in a 12ths/tritave-based theory the E and B would actually get the same name, like we usually do with octaves (for example, the Bohlen-Pierce tuning is tritave-based). Sure, 12ths/tritaves don't sound really identical, but remember that octaves don't either...

EDIT update 11/15/10:
I should mention that the technique I used (playing some music and then checking whether an isolated tone seems to fit) has technical terms. The preparation listening is called "priming" and the isolated tone is called a "probe tone." These are some of the standard methods used in empirical studies of music cognition. My simple demonstration could easily be repeated in controlled testing administered to a number of listeners from different backgrounds. Different priming and different probe tones could be used. The results could better clarify my hypotheses about the potential for listeners to learn 12ths-equivalence (or other alternate equivalences), though additional varieties of tests would be needed to truly be conclusive.

Sunday, June 29, 2008

What is the whole point of music?

Music lessons generally involve learning the technique to play a specific instrument or learning the rules, patterns, and jargon of a particular music culture. However, those nuts and bolts do not address questions of why we bother with this music stuff in the first place.
I've heard explanations like, 'music is part of what makes us civilized', or 'music is food for the soul', or simply, 'music is wonderful and enriching'. Clearly, those answers don't really tell us anything. In some cases, we tend to hear about extramusical side-effects, such as learning teamwork or that music involves mathematics. Certainly, music is one of the many forms of play that develop all sorts of general skills, but as many of us sense, music can be deeper than just playing around.

Perhaps the main drive to music is simply that, for most people, it achieves a strong emotional response. How that happens is certainly worth studying, and that is a substantial aspect of the field of music psychology. Music can have useful functions as well. We use it to control our sense of time, coordinate groups of people, support rhythmic physical activity such as repetitive labor or exercise, augment verbal expression, control moods, entertain, assist in memorizing, and more.

There is an unlimited number of different pieces to learn and techniques and styles to study. Without an understanding of what music is and why we use it, music study can lose direction and meaning. With such understanding, we can prioritize and focus on the specific skills, techniques, and pieces that achieve our practical goals. We can more effectively teach, write, practice, and appreciate music. I strongly believe that no technique or theory should be taught without also explaining its purpose (or at least asking the questions if the answers aren't yet known).