Mathias Polligkeit

Recently I came across a small function in our code base that was meant to transform a list of arbitrarily sorted and possibly overlapping time ranges into a sorted list of non-overlapping time ranges, or in other words, to merge the time ranges in a list.

Elm has onClick and onDoubleClick event handlers, but what if you need to handle triple, quadruple or any number of clicks?

Swarm behavior is a fascinating field where simple rules can lead to complex and often mesmerizing patterns.

The following exercises are meant to solidify what you have learned so far.

These exercises are written in C lydian.

The next note is the major sixth.

With the root, the perfect fifth and the major third, you lay down the foundation for everything that follows.

Grouping Exercises 1-3 Grouping Exercises 4-5

We will begin with the root, the perfect fifth and the major third.

Every rhythm can be broken down into units of two or three notes.

In the following exercises, chromaticism is added to scales.

Below you find some examples of chromatic ornaments.

Konnakol is a system of syllables and gestures you can use to practice rhythms.

Through the exercises in this book you will learn the unique color of each note in a harmonic context.

Do I have to learn all of this?

Start a phrase inside, go outside in the middle and end the phrase inside again.

Practice soloing on a chord progression using only quartal chords.

Each type of triad can have different harmonic implications depending on the musical context.

Choose a chord progression and practice soloing using only triads.

Practice soloing on a chord progression using only the underlying seventh chords.

Now we’ll take a look at what happens when we put different roots underneath each quartal chord.

The exercises are written out in C major.

Practice in all keys and with all types of quartal chords.

Exercise 1 For dual triads and quartal chords in all scales.

Play the chords in the circle of fifths, major thirds or minor thirds.

In the halftone wholetone scale, you can a build quartal chords from the b9, stacking a perfect fourth and an augmented fourth.

Play each triad in one of the circles again, but this time, don’t use a particular permutation.

Practice each of the quartal chords in the circle of fifths, major thirds or minor thirds, but use all the permutations.

Play the chords in the circle of fifths, major thirds or minor thirds.

In ionian, melodic minor and harmonic minor scales, two quartal chords a third from each other will result in the same kind of six note scales as above.

Practice in all keys with any chord quality you want to learn.

There are basically five ways to practice the intervals within a scale.

Practice each kind of triad in the circle of fifths, major thirds or minor thirds.

Practice each of the quartal chords above in the circle of fifths, major thirds or minor thirds.

Seventh chords are built by stacking three thirds.

This chapter starts with an overview of common and not so common scales.

Just like you can build a triad by stacking two thirds, you can build quartal chords by stacking two fourths.

By combining two triads, you can create hexatonic scales.

Choice of notes Emphasize the notes that stay the same throughout the changes.

Triads are composed of three notes stacked in thirds.