Introducing Dissonance

Our modern ears have become so accustomed to advanced tonal languages that dissonance has become a relative concept. Just a few short centuries ago, composers would not include a third in the final chord of a piece because it was considered dissonant. In the 20th-century, Olivier Messiaen crafted pieces that end peacefully on a dominant seventh chord (as in Le banquet celeste). Context allows us to walk away from this final chord without demanding a traditional harmonic resolution.

Wrong notes

I don’t necessarily remember where I got the idea, but one of the foundational ideas of the instruction I received in improvisation was that there are no wrong notes when improvising. Why then do some notes sound wrong? Why do the pieces I end on a dominant seventh chord usually sound unfinished (unlike Messiaen)?

I believe the simple answer is that these wrong notes make a change in the level of dissonance.

This works both ways. If you are playing in an early tonal language and your melody lands on the minor third while the accompaniment has a major third (F natural above a D-major triad for example), it will certainly sound like a wrong note and a mistake. Likewise, if you are playing in an advanced language with lots of seconds, sevenths and clusters, the appearance of a major triad can sound quite jarring. The sounds are perfectly acceptable by themselves. It is the context that makes them seem wrong.

New Rules

The study of counterpoint introduces dissonance in a very systematic and controlled way. First species allows no dissonance. In the language of Palestrina, this limits us to thirds, fifths and sixths using notes within the mode. If we wish to develop a more modern sound, what if we did first species using only seconds, fourths, and sevenths? For example:
DorianModern2v

Another alternative might be to keep the intervals restricted to thirds and sixths, but move one hand into another key:
DorianBitonal2v

Second species counterpoint where there are two notes against each note of the cantus firmus allows more options for introducing dissonance. Like first species, it can be done without any dissonance (only seconds, fourths and sevenths here):
DorianModSpecies22v

Or passing and neighbor notes can be included:
DorianSpecies2PN2v

With its carefully graded level of difficulty, the traditional path to the study of counterpoint introduces dissonance in a careful and controlled manner. Even if we wish to use a more modern language, we can still apply those same concepts for the introduction of dissonance. Choose which intervals will be consonant for your exercise. As you move into the second and third species, introduce categories of dissonant notes one by one: passing tones, neighbor notes, chromatic passing and neighbor notes, appoggiaturas, and accented passing tones. How do these categories change or alter your dissonance level?

In my first days as a student, I spent an entire year (or two) on two voice counterpoint working slowly through the levels of dissonance and species. Mastery of counterpoint takes time, but that doesn’t mean it has to be dull and boring. Change the rules and keep exploring!

Happy counterpointing!
Glenn


Newsletter Issue 57 – 2016 04 11

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A season of resurrection

EasterIIHappy Easter! I hope all of you who had extra and important services over the last weeks are now recovered and ready to continue with your improvisation study. During this season with liturgical churches focus on the resurrection of Jesus Christ, it seemed fitting that I should resurrect the newsletter and take up the task once again of encouraging people to improvise at the organ. The message of Christianity has not spread far and wide because it was only practiced by a few people, but because those who practiced it told others about it. We must do the same for improvisation. If you have colleagues that do not improvise, teach them something simple as a way to get started (or send them to explore the previous newsletters).

Gradus Ad Parnassum

Aloysius– But are you not aware that this study is like an immense ocean, not to be exhausted even in the lifetime of a Nestor? You are indeed taking on a heavy task, a burden greater than Aetna.

My area of focus for 2016 is counterpoint. I was fortunate as an undergraduate student that my composition teacher included counterpoint exercises as part of every lesson. Most undergraduate theory programs include some study of harmony and counterpoint, but usually spend more time analyzing them than actually creating them. For me, this is the equivalent of learning to read, but never learning to write or speak. As improvisers, we need to learn to speak music, and thus have embarked upon the lifetime of learning Johann Joseph Fux mentions in the quote above.

Gradus Ad Parnassum is one of the classic texts for the study of counterpoint. Written in 1725 by Johann Joseph Fux, it was held in high esteem and used by such composers as Mozart, Haydn, Beethoven, Brahms, and even Strauss. It is written as a dialogue between a student, Josephus, and the teacher, Aloysius, identified in the Foreward as Palestrina. The dialogue is a fictional creation of Fux therefore, but is meant to present the rules of counterpoint (indeed all musical composition) as practiced by Palestrina.

Species Counterpoint

One of the advantages of learning composition through the study of counterpoint is the very easily identified and graded levels. Beginning with only two voices, the student progresses through five species before adding another voice:

  1. First Species – note against note
  2. Second Species – two notes against one
  3. Third Species – four notes against one
  4. Fourth Species – syncopation
  5. Fifth Species – florid counterpoint

When creating counterpoint, one of the voices is identified as the cantus firmus. This is the given melody for the exercise that may not be changed. The other voice(s) must be written to follow the rules and fit correctly with the cantus firmus. Here is the first theme Fux provides:
FuxDorianTheme

All notes in first species counterpoint must be consonant intervals: 3rds, 5ths, 6ths, or octaves. There are many more rules regulating the movement between the voices, but before we get there, let’s consider some practice ideas we can take away from what we’ve covered so far.

  • All rhythms are equal in first species. What happens to a melody or theme if we strip the rhythm away from it? Some hymns are almost all quarter notes, so won’t change much. Others have a variety of rhythms and will sound quite different when equalized.
  • Counterpoint can appear either above or below the cantus firmus. Here is a chance to practice our dexterity at the organ. Each of your hands, as well as your feet could be the cantus firmus, while one of the others plays the counterpoint. For an added challenge, play the theme in the bass register with the right hand while your feet play an added melody above on a 4′ (or 2′) stop!
  • Fux (and Palestrina) make use of the church modes: Dorian, Phrygian, Lydian, and Mixolydian. If these modes are not part of your improvisational vocabulary, spend some time becoming more familiar with them. Ideas for practicing them can be found here and here. Counterpoint is not required in order to learn a mode.
  • Themes are written in whole notes. Practice slowly. Whether it is counterpoint, or some other improvisation technique, take your time. Especially as we move into more complicated counterpoint, never play faster than you can think.

Spread the Word

Improvisation is not an easy task to master. It takes time and practice, but there are ways to start and make it accessible to everyone. In this Easter season when Jesus sent his disciples out to spread the Good News, I hope you will practice your improvisations and share with others the joy and delight you find in creating music in the moment.

Wishing you all the best,
Glenn


Newsletter Issue 56 – 2016 04 04

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