Showing posts with label Music Theory. Show all posts
Showing posts with label Music Theory. Show all posts

Wednesday, January 18, 2017

Artist Spotlight #1: Max Keenlyside

Since stumbling on his work (via YouTube), I have been a huge fan of Max Keenlyside. It was refreshing to see/hear such dedicated, focused work from someone, and I was struck by his wide range of musical skills. For more about Max, head over to his site and read his bio & certainly listen to his compositions.

For those reasons and more, I knew Mr. Keenlyside would be a fantastic way to start my new series of interviews. Without further ado, enjoy this first Artist Spotlight...

Sunday, October 9, 2016

"Benedict" Break-Down: A Closer Look at My Egg-Inspired Invention

"Benedict" is the third movement of my Egg Suite for solo piano.

Here's the piece's description from the Egg Suite music book's preface:
'III. We’re skipping past sunny-side-up and plunging into poached territory. A difficult dish [Eggs Benedict], requiring patience and precision, brought to my mind the poise, regality, and even snobbishness of royalty. Let’s call him King Benedict. A quasi-invention, built off of a subject which begins with “E, G#, G#,” seems to capture the stately nature of the king.'
As mentioned (well, alluded to) in that blurb, "Benedict" is a Bach-like, baroque style invention of sorts. Basically, that means it features a main musical idea (subject), a complementary idea (countersubject), and imitative counterpoint to develop those subject and countersubject motives.

And that's what you can find in this piece! Furthermore, in terms of form, I structured it basically as an A-B-A' form: It contains an Exposition (Section A), Development (Section B), and a Recapitulation (A'). More on that later.

So, let's take a look at the piece, in excruciating detail. (Brace yourselves... ) Here we go!

Note: For all images, click them to enlarge.


The Exposition (Section A)


To kick off the thing, I (for obvious reasons) had to begin with the E-G-G motif (technically E-G#-G#). This first chunk of the subject (a) has a straightforward rhythm: three pairs of slur-staccato eighth notes. To break up that pattern, I injected some syncopation into the melody, as seen in (b).


Figure 1: The Subject (a + b)

This second chunk adds rhythmic interest in a couple ways: it includes smaller (i.e. quicker) note values—sixteenth notes, and each of its smaller rhythmic cells (1/16th, 1/16th, 1/8th, 1/8th) adds up to 1 and 1/2 beats. Since this is the case, a succession of these rhythmic cells effectively alternates which part of the beat gets the sixteenth notes. Yay, syncopation!

Side-by-side, I really liked how these two chunks (a) and (b) played off of each other. So, that meant I had a Subject (Figure 1) which I was happy with! Happy enough to write a whole invention... which brings us to the Countersubject:

The Countersubject, shown below with blue labels, enters while the subject is repeated in the lower voice.


Figure 2: The Countersubject (c + d)

As I did with the subject, I will break the countersubject into two chunks, for analysis' sake: (c) and (d).

(c) spans a wide interval (a nice contrast to the small thirds and seconds happening in the subject), and contains a longer note value—the dotted quarter note (a nice rhythmic contrast to the shorter eighth-note rhythms in the subject)

(d) includes some sixteenth notes, which I liked because that allowed for the subject and countersubject to connect on some sixteenth-note rhythms from time to time. For example, on the fourth beat of Figure 2's first measure.

As you can see, coming up with an effective countersubject often has to do with contrast, playing off of what is happening in the subject. In general, when there are quicker, shorter rhythms happening in the subject, I tried to use slower, longer rhythms in the countersubject. That way, when the two happen simultaneously, the two voices are distinct from each other, and each can be clearly picked out, aurally-speaking, by the listener.

Now that the subject and countersubject have been stated, we continue by expanding on the motives to build on the exposition. Again, I'm keeping in mind the contrasts we established earlier—so I'm sure to pair subject material with countersubject material. In this exposition section, you can see that the motivic material isn't always perfectly imitated. For example, the leap of (c') is sometimes a 5th, other times a 6th. What is usually maintained is the overall shape and rhythm of the motives.


Figure 3: Exposition continues with imitation.

From there, let's skip ahead a little bit, to measure 13.

By this point in the piece, I have modulated to B major (hence the A#'s). This is a 5th higher than the original E major. Also happening here, labeled in green in Figure 4, is the addition of a third voice. Since there's already so much going on with the subject and countersubject, I made sure to keep (e) comparatively simple (i.e. less busy): quarter notes and half notes.


Figure 4: Subject and Countersubject transposed up a fifth (Key of B Major), with new, third voice (e)

You'll notice in these examples that the subject doesn't always occur in the higher voice (right hand), and the countersubject doesn't always occur in the lower voice (bass clef)—and vice versa. That's characteristic of this compositional style: each voice imitates the other, so the melodic ideas are frequently passed between voices (and voices may even cross, occasionally, like in measure 14).

Are you still with me? Good! Let's develop these ideas...

The Development (Section B)


In the Exposition, I stated the main musical ideas: the Subject and the Countersubject. In terms of key centers, we had the 'home' key of E major, and then modulated up a fifth to the key of B major—a closely-related key. In this next section, the development, we...well, develop those ideas and take them to more distantly-related keys.

Figure 5.
In Figure 5, notice the upper voice's rhythm—borrowed from (b), but with a different, more chromatic melody. The lower voice plays with (a) and uses a couple counterpoint techniques to change it: inversion and augmentation.



The inversion isn't perfect, though: Instead of going up a 3rd then going down a 2nd, I went down a 6th then up a 2nd. That is to say, I flipped (inverted) the direction of the intervals, but the intervals themselves were not maintained.

Also at work is augmentation, lengthening the original rhythm. Where the subject's original rhythm contained eighth notes, this augmented (i.e. elongated) left hand line instead uses quarter notes, providing a solid foundation on top of which the more active right hand can take place.


Figure 6.
 Figure 6 shows how one simple idea can be sequenced to create a longer, more exciting passage. Here, the fragment used is the G# - F# - G# sixteenth note idea, which appears first in (b). A fourth sixteenth note is tacked on to those three, then this four-note idea is repeated three more times, each time a step lower than before. This constitutes a sequence.



Figure 7: One bar from the dominant prolongation section.
Skipping ahead a bit more, we arrive at measure 30 (Figure 7). Typically at the tail end of a development section, a device known as dominant prolongation is often employed, in which the dominant (the V chord) is prolonged for several measures, preparing for a return to the tonic (I).


And that's precisely what I did! Since I would be returning to the key of E major, the chord I prolonged was a B7sus. The lower voice adds rhythmic interest by playing the syncopated (b) material, which also foreshadows the imminent return of that motif...

The Recapitulation (Section A')


After all that harmonic turmoil, fragmentation/manipulation of the motives, and overall tomfoolery, we're ready to return to the original subject and countersubject, and in the original key, to boot.
Figure 8: Re-united and it feels so good.

That means we get to hear the E-G#-G# motif as it was originally stated in the subject at the very beginning of the piece, as well as the countersubject. Additionally, I included the newer, third voice. Doing this helped create a real sense of development for the piece: it didn't have this third voice at the beginning, but along the way it went through a transformation, and now it contains this third voice.

(By the way, Bach might have called this a sinfonia now that it has three voices instead of the typical invention's two voices.)

Conclusion (Codetta)


In terms of this piece, the conclusion is comprised of a tiny codetta, which jams as many E-G#-G# statements as I could fit in a small space. I'll refrain from sharing a Figure 9 to show that, because I think we have had enough images for this post.

In terms of this blog post, the conclusion is perhaps best accomplished by showing the sum of all these parts. Enjoy watching and listening to "Benedict," the third movement of the Egg Suite:


The scores of all five movements of "The Egg Suite" are available here (PDF).

Monday, September 12, 2016

Sus7 Chromatic Climb

Here's a little chromatic thing I stumbled upon one day at the piano. I like it because you get the smoothness of chromaticism (obviously), but also variety via slightly different chords.


The chords here alternate between a sus-7-with-9th and a sus-7-without-9th.



That 9th or 7th in the top voice in itself creates a satisfying shape and is a nice contrast to the straightforward half-step climb in the lower voices.

Here it is with the voices separated, which makes it easier to notice some of the intervallic relationships between each voice. In this image, I described each voice's movement and made note of each voice's relationship to the bass.


Tuesday, January 26, 2016

How to Write a 12-Tone Piece Using Eggs

One day, when I was cooking some eggs, I was feeling particularly creative...



Beautiful eggs! What else can I do for breakfast this morning? Cereal? Nah...

Serial? Perhaps...

My eyes fell upon the egg carton to my side, and I quickly zeroed in on its serial code. Eureka! How about a 12-tone, serialist piece using the digits off of the egg carton as inspiration? I mean, why not?

Here's what my process looked like:


eggxcelent


Well, I got through all of the steps–including step five–and the result was "Carton." This is the first movement from my piano work "The Egg Suite."


Check out the rest of the suite here.

Monday, September 14, 2015

Dominant inner-voice shift

Voices in blue are the ones that move. Notice that the outsides
of the chord stay put, while the inner voices make small changes.

Here's a way to add some extra crunch to a dominant chord, with the 13th on the top.











A few reasons I like this harmonic shift:

  1. It all happens in the middle of the voicing. The outter voices stay put.
  2. The shifts are small (half steps), but the harmonic effect is big.
  3. The top two shifting voices in the right hand move in contrary motion, which is great.
Handwritten break-down of this shift.

May your dominant chords be prolonged and extra-crunchy. Enjoy.

Monday, June 1, 2015

DIY Music Flashcards

While rummaging through old junk drawers the other day, I came across a stack of unused, blank photo-paper. Since I don't have a photo printer, I was somewhat confused about how I came to acquire the paper in the first place. In fact, I was just about ready to toss it into the 'recycle' pile.

But then I started doodling on them with a dry-erase marker, curious to see if the paper would act like a white board and allow me to wipe off the marker and re-write something else. It did not. Instead, the ink dried fast, and was quite permanent.

Getting further carried away, I decided to re-purpose the blank paper into slick, glossy music flashcards. Why the heck not?!

Here's what I came up with (click to enlarge):



Noticing that I had a big stack of blank cards still left over, I brought them, and some markers, along to my piano students' lessons later that day.

Click to enlarge

As part of their theory assignment, I tasked them with making their own cards. They had fun using different colors to make their own unique set of flashcards.

Here's what one of my students came up with:

Click to enlarge

I'm glad I didn't toss the paper in the first place!

Thursday, February 5, 2015

"West Side Score-y" Pt. 3: Tri-tones...They're Everywhere!!

Part 3

It seemed appropriate that Part 3 of this series was about the tri-tone. Even if it weren't for this numerical match-up, a post about the tri-tone seems inevitable when writing about West Side Story. Bernstein throws them into the score like I throw chocolate chips into cookie dough (excessively, perhaps, but to great effect).

Part 1 addressed something I called the "Smush Chord," and
Part 2 explored Bernstein's rhythmic stuff.
Part 3 continues, below... (read on!)

The Tri-Tone

Literally meaning "three-tones," the tri-tone is the musical interval spanning the range of three whole steps (6 half steps). Since our octave is most typically divided into 12 half steps, the tri-tone represents the octave divided exactly in half. The sonic result is a jarring, highly dissonant sound—so dissonant that history has given it the sinister nickname "diabolus in musica" (the Devil in music).

(More about the tri-tone and other intervals here.)

Melodic Appearances

  1. "Do" up to "fi." Of course, the best-known example of the tri-tone (at least, within the realm of West Side Story), is in "Maria." The interval, here appearing as an augmented 4th, is heard in the first two syllables: "Ma-ri..." 
  2. "Cha-Cha"
  3. "Cool" (pictured below)
  4. Basically everywhere.
from "Cool" (C up to F#, an augumented 4th)
Harmonic Appearances

from "Prologue" [C major over F#] and [Eb major over A]
  1. Polytonal-type chords (a la Petrushka), in which a major triad is coupled with a tone 6 half steps away from the root, appear in selections such as "Prologue" (pictured above), "The Rumble," "I Have a Love," and several scene changes. In fact, the very last musical sound heard in the show is one of these puppies, with C major up high, F# down below.
  2. Major chords, with #4 (a.k.a. #11). These bright chords, which suggest the Lydian mode, can be found, among others, in "Prologue," "Jet Song," and "Gee, Officer Krupke" ("Dear...")
  3. #ii°7 diminished chords (in 3rd inversion). Closely related to the previous chord, this one is just slightly crunchier in sound. It's featured most prominently in "Something's Coming."
  4. Whole-tone spots: "Tonight" m. 37 (pictured below)
  5. Again, basically everywhere.
Pitch inventory (F, G, A, B, C#) comprised of whole tones.
(Tri-tone appears on beat 2, between F and B.)
Conclusion

To sum up (clumsily, quickly), that there are tri-tones just about everywhere in West Side Story is perhaps "needless to say," but there, I said it.

Being such a grating interval, it certainly catches the ear, and the sound sticks with you. It's what helps make the lyrical "Maria" so beautiful ("Say it loud and there's music playing / Say it soft and it's almost like praying..."), and it's what makes the show's final chord so hauntingly dissonant.

Friday, November 14, 2014

"West Side Score-y" Pt. 1: The "Smush Chord"

West Side Score-y

One of my current jobs is as a rehearsal accompanist for a production of Leonard Bernstein's West Side Story. This means I attend rehearsals with the singers/actors/dancers and play whichever piece of music they are working on. And that means that one night I may be teaching pitches for a new song, but on another night, I might be playing an entire dance number so that the dancers can work on their choreography along with live music.

All of this meaning: I have a lot of music to learn, and it's to the benefit of everyone involved that I learn this music very thoroughly. I'm up for the challenge! Part of this thorough learning, on my part, means that I'm analyzing some of the music theory behind Bernstein's music.

Knowing the motifs (recurring musical ideas) and harmonic structures of the music helps a great deal with learning it more efficiently and more thoroughly—at least for me, anyways!

The "Smush Chord"

I'm calling this blog series "West Side Score-y" (A Score Study of West Side Story). Hilarious, I know. This first part addresses what I am calling the "Smush Chord."

Here's what it looks like on the printed page:

Excerpted from "Jet Song"
As you can see, the chord took a fair amount of black ink to print on the page. It's not a pretty looking thing, nor does it sound pretty.

The visual and aural harshness of the chord is part of what made me want to analyze it a bit deeper and try to wrap my head around it.

(To be honest, sometimes my instinct when seeing a chord like this, is to just smash my hand down onto the keyboard and hope for the best. This more measured, analytical approach is an effort to avoid that tactic.)







Pitch Inventory


Here's the chord's pitches re-ordered according to ascending (G major) scale order. Above each note, I've attached a scale-degree label, based on the G major scale. I have used some enharmonic spellings in the analysis.

*Notice the tritone (diminished 5th) interval between A# and E. West Side Story is riddled with tritones (Think: "Ma-ri-a").


Major + Minor = Smush

I noticed that the chord's pitches can be divided into two separate groups, one of which forms a Major 6 chord, and the other of which forms a Minor chord (with a flattened 6). Keep in mind, I'm adding the bass note "G" in order to create these chords (indeed, G is the root note).


G6 + Gm(b6) = G smush
When these two chords are combined, the result is a clashing of major tonality against minor. And that, ladies and gentlemen, just sounds pretty unattractive to the ear. When I realized that this chord can be thought of as two chords superimposed, my mind leapt to the word "smush," meaning that the minor tones (minor 3rd, minor 6th) are "smushing" against the major tones (major 3rd, perfect 5th, major 6th).




Why?

Why discuss this? Frankly, because it helps. Personally, knowing where the chord tones come from, and how they relate to a familiar tonality helps me wrap my head (and my fingers) around the chord. Furthermore, I knew it was a chord worth exploring because I noticed it shows up at other places throughout the score.

More generally, the half steps (and tritones!) found within this chord are extremely characteristic of Bernstein's intensely chromatic writing throughout the musical. (More on that later.)

Stay tuned for additional installments of "West Side Score-y," which will be created the next time I run into a similarly intriguing musical morsel!

Tuesday, August 26, 2014

"Drop 2" Chord Voicing Technique

The "Drop 2" chord voicing technique is a common arranging/composing/piano trick. It's a great way to voice a chord for a horn section, or if you're a piano player, it's a slick way of creating strong 4- or 5-note voicings.

It's simple:

1) Start with a 4-note chord that exists all within an octave. (This may be a chord in root position, but may also be a different inversion of a chord, or some other type of cluster.)
2) Identify the second highest note (the "2" of "Drop 2").
3) Move this note down an octave.

That's it!

Here's a step-by-step video showing the process:




A Handful of Major Chord Voicings (with colorful illustrations) [Part 2 of 2]

In Part 1 of this series, the handful of major chord voicings was introduced along with an accompanying A/V example.

Now, in Part 2, each voicing will be colorfully broken down.


Color-Coding Chord Tones


I will show each voicing notated on a grand staff, using a color-coded system. In the system, each scale degree (in these case of C major) is assigned a color, following the order of ROYGBIV. Since there are 7 notes in a scale, and 7 distinct colors in the visible light spectrum, this works out nicely. (This colorful choice of mine was inspired by this very interesting article about the link between Music and Color.)

C major scale, in colors.

*Please note that the people I attribute the following voicings to (and therefore the labels I assign each one), are by no means the originators of a particular voicing. Rather, they are the musicians/educators from whom I personally learned each voicing. (I will link to the relevant sources as we go along.)

Five Colorful Voicings


1) Symmetrical "Martin" Cmaj13 (via Peter Martin)

  • Symmetry in intervals: 3rd, 4th, 4th, 4th, 3rd
  • Very similar to the next voicing (Tristano), but more colorful because it contains the 7th
  • LH contains a minor chord in first inversion, RH contains a major chord in second inversion








2) "Tristano" Cmaj6/9 (a la Lennie Tristano)




  • Top four notes are spaced out by a 4th
  • Root is doubled, appearing on the very bottom and top of the voicing
  • Tristano often used this by "planing" this shape, moving it up or down chromatically







3) Rootless "A Position" Quartal Voicing, Cmaj6/9 (via Earl MacDonald)




  • 3rd on bottom (root on top)
  • Basically the same as Tristano's voicing, but without the root doubled in the LH








4) "B Position" Quartal Voicing, Cmaj13 (via Earl Macdonald)




  • 7th on bottom (5th on top)
  • Rootless









5) "Drop 2" Cmaj9









Final Remarks


What to do with all of this information? If you happen to latch on to the sound/feel of one or two of these, take a second to figure it out on the piano. Divide the notes between hands however is most comfortable to you (in some 5-note cases, it may be preferable to put three notes in the LH, two in the RH, but you might prefer it the other way around). From there, continue around the Cycle of Fourths (or Fifths), constructing the voicing slowly and carefully.

Happy voicing!

A Handful of Major Chord Voicings (with colorful illustrations) [Part 1 of 2]

Prepare yourself to play some of these pretty chords. In general, they more-or-less all share the following characteristics:

  • Mostly quartal (stacked in fourths)
  • Contain extensions such as the 6th (13th) or 9th
  • Relatively equal spacing between notes
  • Sound really great
Here they are all together on one line of music, with an accompanying video (listen for the subtle differences between each voicing):

(These labels I assigned each one will be explained in Part 2.)



In the next installment [Part 2 of 2], I will show you how to construct each of these voicings.

Thursday, August 14, 2014

Inverting Intervals

To invert an interval means to move one note (out of the two) up or down by an octave. For example, to invert a 3rd (C and the E above), I can move the C up an octave. This effectively puts the C above the E. So, the new order from lower to higher is E up to C. Furthermore, this creates a different interval: the 3rd became a 6th.

Here's a visual, which matches the style of a previous post on reading intervals from a staff:

When you invert an interval on the staff, its line/space category becomes reversed (same to different, or different to same). Click to enlarge.

You'll see that interval numbers of each inversion pair always add up to 9:
  • A unison inverts to an octave (1+8=9)
  • A 2nd inverts to a 7th (2+7=9)
  • A 3rd inverts to a 6th (3+6=9)
  • A 4th inverts to a 5th (4+5=9)
  • And vice versa

Seeing Intervals on a Staff

When I teach beginner-level piano students, one of the first things they learn is the "step" vs. "skip" concept. This coincides with their introduction to reading music from a staff. If a "line" note goes up to the adjacent "space" note, we call it a step (like stepping up on a flight of stairs). But if that line note goes up to a note on the next line above, we call it a skip (it is skipping the space between the lines). This is often how students begin their understanding of intervals. They soon learn that the line-space example is called a 2nd, and the line-line example is a 3rd.

Beyond 2nds and 3rds, of course, the intervals become larger, and perhaps can be a little trickier to identify on a staff. Fortunately, with a little practice, this becomes easier and easier, until soon enough it is second-nature.

Here's a handwritten sheet showing what different intervals (unisons up to octaves) look like on the staff (5 lines, 4 spaces) The ability to quickly recognize an interval (and eventually, several intervals/chords at once) when reading from written music notation--especially when sight-reading--is very valuable.

I hope my handwriting is legible for you. Click to enlarge.
In quotation marks, I wrote out simple mental steps someone might go through when looking at each interval. Visually, when I see a 7th, I like to imagine climbing up the rungs of a ladder (i.e. going from one line to the line above). On each rung, I can count up by odd numbers: "1, 3, 5, 7." A four-line ladder means I'm looking at a 7th.

The basic nugget of information to take-away from this post is this:

Intervals of Odd Numbers (1, 3, 5, 7) always appear as line-line or space-space.
Intervals of Even Numbers (2, 4, 6, 8) always appear as line-space or space-line.

To help visualize these intervals in another way (pianists especially), it would be a good idea to plunk out each of the intervals depicted above on a keyboard. Begin doing this in the key of C major (all white keys), and when comfortable try out some other keys in order to incorporate black keys into your visual memory bank.

Wednesday, July 16, 2014

Key Signature Calculation (via MusicTheory.net)

Lesson from MusicTheory.net

Recently I found myself in a situation quite common for me: purposelessly browsing musictheory.net and aimlessly clicking through the site's many lessons and exercises (yes, really). One lesson I came across was called Key Signature Calculation, and it explained a handy method of calculating key signatures with minimal rote memorization required.

I have previously written about key signatures in a post where I shared a visual aid (a variation on the standard Circle of Fifths) that can be used to remember the number of sharps or flats in a particular key. This tool covers 12 major keys, and by extension, 12 minor keys. That's a total of 24 keys, and when you account for enharmonic keys, there are actually 30 possible key signatures.

Instead of struggling to memorize all these key signatures, this calculation method can be used with minimal memorization. All the information that must be memorized to use this method is summarized in the following image, which I lifted from musictheory.net:





The Method

The top row of the image shows the seven notes of a C major scale (C, D, E, F, G, A, B) with their respective key-signature-numbers. The absolute value of the numbers refers to the number of sharps (positive) or flats (negative).

The next few bits of information (bottom row) show three possible calculations you can use to get from a key from the top line to a different key not on the top line:
  • Major key to parallel minor: subtract 3  (C major to c minor: 0-3=-3
  • Key to half step lower: subtract 7 (C major to Cb major: 0-7=-7)
  • Key to half step higher: add 7 (C major to C# major: 0+7=7)
The method is simple: apply the appropriate operation (from the image's bottom row) to a (top-row) numeric value.


Application

Once that information is committed to memory, it is now possible to quickly and easily calculate any key signature. Let's practice:


1. Desired key signature: Eb major

  • E's numeric value is 4, then we subtract 7, yielding -3
  • -3 translates to 3 flats (Bb, Eb, Ab). Voila.
2. Desired key signature: G minor

  • G's numeric value is 1 (1 sharp). To get to its parallel minor, subtract 3, yielding -2.
  • -2 translates to 2 flats (Bb, Eb). Boom.
3. Desired key signature: F# major

  • F's numeric value is -1 (1 flat). To go up a half step, add 7, which yields 6.
  • 6 translates to 6 sharps (F#, C#, G#, D#, A#, E#). Piece of cake.

Final Words

That's about it. Commit those seven key-signature-numbers (from the top row of the image) to memory, then either subtract 3 (to get to the key's parallel minor), add 7 (to go up a half step), or subtract 7 (to go down a half step). The resulting number tells you the number of sharps (positive number) or flats (negative number) in your desired key. If you want more key signature information, check out this circle of fifths visual I made.

Thursday, January 30, 2014

'A' Train Ending

Months ago, I wrote up a little post about the classic "Take the 'A' Train" introduction, so I thought I ought to also write a bit about the tune's equally classic ending (its caboose?).

Here it is (in its most basic form), with some approximations of chord symbols above the staves:

Key of C Major. (click to enlarge)

The ending's coolness,  I think, is a result of its simplicity (and its smooth contrary motion).

With some inferential chord labeling, you end up with strong structural chords (I, IV, and V). There's even a bit of augmented sixth chord action in there! (The Ab7 can be analyzed as a German chord, which I wrote about in this earlier post.)

The final fermata chord is somewhat variable, and it's where you can have fun adding in more interesting colors (my go-to is the #11 extension). Even the chord-quality can be modified, if you so desire (e.g. playing a C major-seventh chord rather than a C dominant-seventh chord).

This two-bar ending is a great thing to memorize and learn in all 12 keys, as it is very commonly used to end songs other than 'A' Train itself. (If someone instructs you to end a tune with the 'A' Train ending, this is what they're referring to.)

And that's about it... Have fun with the "caboose"!

Thursday, January 9, 2014

Dissecting an Oscar Peterson lick ("Night and Day")

Last semester, I was in a "Jazz Improv" course, which taught improvisation through the study of standard melodic devices, idiomatic scales, and listening/transcription projects. For one transcription assignment, I chose an Oscar Peterson solo on the song "Night and Day." I chose O.P. because I love how he develops ideas and structures solos, all with with his signature touch and impeccable sense of time.

A word on transcription

Transcription can be useful for finding lines that you like and integrating them into your own vocabulary, verbatim. But what I like to do, rather than memorize and regurgitate a line exactly, is to identify lines that sound good to me, and then really dissect them and try to figure out why they sound good. (Maybe it's the rhythm that I like, or maybe it's the contour of the melodic line, or maybe it's the use of space, etc.)

And after listening to plenty of solos from my favorite players, over time, I start to see the 'common denominators' —what sorts of musical qualities tend to resonate with me?

From there, I can work on integrating those qualities (not necessarily the exact line verbatim) into my playing. That way, my style is influenced and informed by my musical role models, but my playing is still unique and 'my own.'

The lick

So let's get back to Oscar Peterson and look at just a couple measures from the "Night and Day" solo (click to enlarge):

Original O.P. lick, with target notes in blue.
After spending some time analyzing the line, I took an inventory of the passage's most obvious characteristics:
  • Static harmony (it all occurs over one chord, Ebmaj7)
  • Rhythmic repetition (two eighth notes, four sixteenth notes)
  • Contour of line: large leaps up, sprinkled with small movements down (like taking three steps up a staircase, one step down, three more steps up, another down, etc.)
  • Enclosure
Enclosure and embellishment

Let's focus in on the last bullet point: enclosure. To do so, I'm going to sort of reverse-engineer the line so that we can understand exactly how the enclosure is working. This process is essentially a Schenkerian method of analysis. (Heinrich Schenker said that a piece of music can be reduced down to its most basic elements, and from this structural base, a composer 'composes out' (Auskomponierung) by way of elaboration and embellishment.)

First, we can reduce the whole line into four structural half notes (highlighted in blue, Fig. 1).

Figure 1: Structural 'target' notes.
From there, you can think of the other notes as embellishments of these primary notes, achieved by way of approaching the target note. A common way to approach (precede) a note is through enclosure: playing the notes just above and below the target note.

I have notated this concept in Fig. 2, with slightly condensed rhythmic activity (flattening the first measure into all eighth notes). It works by using two "above" notes and one "below" note to connect beat 1 with the target note on beat 3.

This idea from beats 1-2 is sequenced (repeated up a fourth) on beats 3-4, and it is this repetition that gives the line a sense of structure. The second measure introduces a new connective idea, an ascending Eb major 7 arpeggio up to the F.

Figure 2: Simplified line, with 3-note approaches to target notes (labelled in bar 1).
To get from Fig. 2 (condensed version) to O.P.'s actual line, we add a little bit more embellishment to beats 2 and 4 of the first measure. This is done by adding 'upper neighboring tones,' achieved by increasing the rhythmic activity from eighth notes to sixteenths. (For example, on beat 2, we change Db - B [eighths] to Db - D - Db - B [sixteenths]. The 'D' in this case would be the upper neighbor).

And... voila! We arrive at the original lick (finally!).

The takeaway

Of course all of this analysis is rather long-winded and perhaps reeks of academic stuffiness. Surely, while playing his solo, Oscar Peterson wasn't consciously thinking, "Okay, that was a structural note... now let's connect it to beat 3 with a three-note enclosure. Oh, that sounded nice; let me do that again, this time up a fourth..." (Well, maybe he was...)

The point of this all, then, is to identify and analyze techniques and devices, and 'shed' them in the practice room. Work on them to the point that you no longer need to think through all those theoretical steps. In other words, master the technique; internalize it.

For instance, from these couple measures, I would hone in on the idea of enclosure, and I'd try to figure out how to apply it to my own playing. (I might start by looking at a standard jazz head and identifying a melody note as my target note. Then, I could practice enclosing that target note.)

This is just one way to begin applying a new concept. The point is to think of creative ways to apply new ideas, and to practice the techniques until a level of familiarity/comfort is reached.

Once you really own an idea, it's yours, and you will then gain insight into how you might apply the idea in other contexts, and how you might adapt the idea to meet new musical challenges. (And that's a lot of fun.)

Sunday, October 27, 2013

Visual Aid for Key Signatures

The visual aid

One late night I began doodling around the topic of key signatures. I had fun interweaving note names with numbers, and when I was finished, I found that I had created a musical tool that perhaps you might find handy.

The end result, in effect, is a visual fusion of a key (letter name) with its respective number of sharps or flats. Here I have posted the tool in two forms (click to enlarge each image):
  • Vertical (black and white), progressing in ascending fourths as you move from the top of the image to the bottom.
  • Circular (with color), as in the circle of fifths. As you move clockwise, you are moving up by fifths. As you move counter-clockwise, you are moving up by fourths.



Circle of fifths


 To use the visual tool...
  1. Locate your desired major key.
  2. Observe its corresponding number. This is the number of sharps/flats in a particular key.
  3. If you are in a flat key (the blue half of the circle), add that number of flats to the key signature by following the order of flats (B E A D G C F).
  4. If you are in a sharp key (the green half of the circle), add that number of sharps to the key signature by following the order of sharps (F C G D A E B).
 *Keep in mind this tool is designed for finding the key signatures of major keys. That said, it's easy enough to figure out the key signature for a minor key if you know its relative major key.
  • Relative keys share the same key signature. In the same way you and your relatives share similar DNA, relative keys share the same number of sharps/flats.
  • To go from a minor key to its relative major key, simply move up three half steps.
  • Example: To get from F minor to its relative major, walk up three half steps (F#, G, Ab). We arrived at Ab, which means the relative major of F minor is Ab major. Therefore, we can say that both F minor and Ab major have the same key signature!
**In these visuals, I included only one of the common enharmonic key spellings (Gb and F#). Other enharmonics include Db/C# and Cb/B.

If you found these visuals helpful or if you know someone who might find them helpful, please feel free to share!

Thursday, June 27, 2013

Bebop Scales

Around the 1940s, the jazz world saw the emergence of a style known as "bebop." The style is characterized by fast tempos and an advanced harmonic vocabulary, and it places significant importance on the improvisatory element of music.

In order to improvise in this jazz style, it is helpful to first learn the idiomatic harmonic "language" (vocabulary). So, here are a few bebop scales (each beginning on C) which can be practiced in all keys, and then applied to your soloing.

Three bebop scales

The scales are constructed by taking a traditional scale/mode and altering it slightly by adding one chromatic passing tone between certain scale degrees. This additional note results in an eight-note scale (rather than the normal seven-note scale), which is handy when dealing with 4/4 time signatures. The scale, played as eight eighth notes, perfectly fills up a measure, and helps the soloist more easily place chord tones on the strong part of the beat.

In order to apply these scales, consider a 2-5-1 progression. Use the Dorian bebop scale on the 2, Mixolydian bebop on the 5, and Major bebop on the 1. (You'll notice that the Dorian bebop scale contains the same notes as the Mixolydian bebop scale. Indeed, they are both modes of the same scale.) The example below applies these scales to a 2-5-1 in B-flat major.

Dorian, Mixolydian, Major

Wednesday, February 6, 2013

Musical Mnemonics

For the beginning music student, reading musical notation from the staves can be tricky at first. Fortunately, clever music teachers have come up with several mnemonic devices to help remember the note names of the staves' lines and spaces (always ordered from bottom to top of the staff).

Here are some I've heard over the years:

TREBLE CLEF


Spaces


  • FACE

Lines

  • Every Good Boy Does Fine
  • Every Good Boy Deserves Fudge
  • Empty Garbage Before Dad Flips
  • Even George Bush Drives Fast

BASS CLEF

Spaces


  • All Cows Eat Grass
  • All Cars Eat Gas
  • American Composers Envy Gershwin

Lines

  • Good Boys Do Fine Always
  • Good Boys Deserve Fudge Always
  • Great Big Dogs Fight Animals
  • Good Burritos Don't Fall Apart

cimbura.com


Do you have any favorites I should add to the list? Comment below!

Sunday, January 6, 2013

Augmented Sixth Chords (French)

With this post, I conclude the Augmented Sixth Chords series. This final installment takes a look at the French chord, in all its glory. (Click the images to enlarge.)





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