Preventing accidents with pencil marks

After some recent windy weather I saw someone in my neighborhood cutting up some fallen tree branches with a chainsaw. He wore jeans and sneakers and handled the saw with something less than familiarity.

Later, I saw a professional tree removal crew working at a similar task. They operated their chainsaws expertly and with confidence, and wore helmets, eye and ear protection, and heavy protective clothing.

I thought the amateur might really be the one in need of safety gear. But the professionals showed up equipped to do the job right, do it promptly, and do it without mishaps.

Sometimes my students seem reluctant to make markings in their sheet music. I think some of them believe that penciling in a reminder of a key signature or fingering choice somehow indicates amateurism, that a better musician  would be able to play successfully without extra aids.

I prefer to gear up like a pro. No matter how confident I am of my abilities, I’d much rather save time and prevent accidents by putting some pencil marks in place. Why spend practice hours trying to remember a flat here or a trill key there when I can solve the problem permanently and in a matter of seconds with a quick marking? Why risk getting momentarily distracted and missing an entrance when a few judicious cue notes can provide a helpful reminder?

Any pencil mark that can shore up your preparation is worth making. Don’t wield a chainsaw or a clarinet without taking necessary precautions.

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  • Basic tuplet math

    A young music student with some basic competencies might be comfortable with these kinds of rhythms:
    tuplet-mathBut these are a little trickier to pull off well:

    tuplet-math-1 tuplet-math-2

    Divisions of the pulse into twos and threes is simple enough conceptually, but in most cases we really learn those kinds of rhythms better by ear—we just learn what eighth notes or triplet eighths sound like against a quarter note pulse. A division of the pulse into fourths, like sixteenth notes against a quarter note pulse, is something that could ostensibly be derived: you could start from a duple subdivision, then make the mental shift to hearing the subdivided pulse as the new pulse, then subdivide that. But the quadruple subdivision is common enough that I think most of us ultimately learn to play it by ear, too.

    The quarter- and half-note triplets in the first two bars of the example above are a little harder to place accurately, I think, because the “extra” pulses are hard to ignore. If I can somehow mentally block out the pulses (audible or implied) on beats two and four in the first measure, then I’m playing three notes per pulse again, and that’s really no different than, say, eighth-note triplets in 4/4. Same thing for the second bar: if I can tune out the pulses on beats two, three, and four, then I’m just playing that same triple subdivision.

    One approach to this problem is to simply learn the less-familiar subdivision by ear. Music notation software is the perfect tool for this; with a little skill you can usually enter rhythms as complex as you like, and hear them played back with the utmost precision against a pulse of your choice. But here are a couple of other useful tricks.

    Trick #1: Subdivide long-duration triplets

    To play triplets against a duple or quadruple pulse, you can derive them from triplets played against a single pulse. For example, this rhythm…

    tuplet-math-1

    …can be derived in this way:

    tuplet-math-3

    Trick #2: Approximate complex tuplets with duple/triple subdivisions

    “Tuplets” that are prime numbers greater than three can be difficult to audiate on the fly. But in many cases (not all cases) there is some room for complex tuplets to be somewhat less than perfectly even. For example, a composer might write a scalar “run” that contains a certain collection of pitches that doesn’t divide neatly into the number of beats allotted, and use a tuplet to make them fit into the score in a legible way. In such a case, it might be appropriate for the run to accelerate or decelerate a bit. If so, the tuplet can be reimagined as a series of duple, triple, or quadruple subdivisions.

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    tuplet-math-2…could be approached like this (with a slight acceleration effect on each tuplet)…

    tuplet-math-4…or like this (with a slight deceleration effect on each triplet:

    tuplet-math-5Rewriting the rhythms into duple/triple/quadruple subdivisions of the pulse makes it easier to practice these rhythms methodically and consistently with a metronome, and allows for some anchoring which ran really solidify longer runs. Even if the intention is eventually to play the tuplet with more exact evenness, practicing them this way can help to shore up technique in the early stages.

  • Counting rhythms with a non-quarter-note pulse

    Sometimes my students are stymied by rhythms like this:

    subdivisions

    These rhythms are really not at all difficult to play—to actually execute—for an intermediate-level student. The problem is just one of unfamiliar notation. It is usually related to the all-too-common misconception that the rhythmic pulse is always equal to a quarter note. If you approach this example with a quarter-note pulse in mind, the rhythms are indeed rather complex.

    But even an intermediate student should be quite at ease playing subdivisions of a beat into twos, threes, and fours. For a student with the pulse-is-always-a-quarter-note mentality, that means this specifically:

    subdivisions-1

    So the key is to reframe the “difficult” rhythm so that it breaks down into subdivisions of two, three, and four. One way would be to rewrite it like this, using more familiar notation:

    subdivisions-2

    But often it’s enough for my students just to mark up the original to show an eighth-note rhythmic pulse:

    subdivisions-3

    If I walk them through marking the first few measures, they can often finish the project without much additional help. At that point, they are surprised to discover that the rhythms are really much simpler than they first appeared (and that 32nd notes are not necessarily “fast”).

    For me this issue comes up most often in the Romantic-period etudes I have my students play, most especially the oboe etudes by Ferling (which my saxophonists also play) and the 32 clarinet etudes by Rose (which are mostly based on the Ferling etudes), but also some of the Milde bassoon etudes and Andersen flute etudes.

    In each of these cases, by far the most common occurrence of a non-quarter pulse is the eighth note pulse, and some editions of these indicate an eighth-note based metronome marking (which should be a big hint to a student). In general, my students handle this less-familiar notation with ease once they learn to watch out for etudes or repertoire movements that have 32nd-note rhythms, and to count those with an eighth-note pulse. (The clarinetists run into this early in the Rose 32, as the first and third etudes begin with seeming quarter-note-pulse rhythms, then surprise the student with 32nd-note passages later.)

    A 16th-note pulse is also not unheard of (I run across this most often in Baroque repertoire), and certainly others are possible. “Cut time” (2/2) time signatures also fall into this category, though they seem to alarm my students less because they are generally easy enough to count in 4/4; they do sound much more poised if I can convince them to use a true half-note pulse.

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    • If an etude or repertoire piece has 32nd-note rhythms, try counting with an eighth-note pulse. If it has 64th notes, try a sixteenth-note pulse, and so on.
    • If the composer or editor provides a metronome marking, notice what note duration is suggested (for ♩ = 50, count in quarters, but for ♪ = 100, count in eighths).
    • If it helps, mark in the pulse to reveal the familar two, three, and four subdivisions.
    • Don’t panic!
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    Photo, euthman
    Photo, euthman
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  • On purple violins

    Photo, Glamhag

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