Arpeggios Chords Composition Tools Melodic Construction Permutations & Combinations Scales Tetrachords Uncategorized

Complete Tetrachord Combinations: Major, Melodic Minor, Harmonic Minor, & Harmonic Major Scale Harmony

This post explores all of the possible tetrachords (four-note combinations) in Major, Melodic Minor, Harmonic Minor, & Harmonic Major Harmony.

(Download the accompanying PDF at the bottom of the post.)

These exhaustive lists may appear too information-packed to be useful. (There are 840 combinations per scale.)

I suggest dipping into them occasionally to more deeply explore the vertical (chords) and horizontal (melody) aspects of their all-important parent scales.

You’ll find every standard approach to chord voicing contained herein, as well as many uncommon sonorities.

Some structures may be impossible to play as chords unless one or more of the tones are raised an octave.

Experiment with the lists, and you’ll discover many new things about these commonly-used harmonic palettes (scales).

Below are a few examples of how the lists can be used to create chords and arpeggios (taking some liberties with octave placement and contour):

Arpeggios Right-hand Technique Technique Uncategorized

360 Double-Stroke Right-Hand Combinations

Practicing even a “handful” of the 360 possible double-stroke right-hand combinations will rapidly improve right-hand independence and flexibility.

The example below shows the first four combinations, realized on string group 6321:

String groups with an unused string (or two) between “m” and “a” are particularly important for developing strength and flexibility in the weaker (“m & a”) side of the right hand.

Here are the same four combinations on string set 6431:

Experiment with different degrees of separation between right-hand fingers, and also different rhythms, accents, and dynamics.

For reference, here are the 15 possible four-string groups:

Download the PDF below for a list of all 360 combinations:

Arpeggios Chord Cycles Chord Progressions Contour Harmonized Scales Melodic Construction Permutations & Combinations Tetrachords

7th Chord Arpeggio Permutations, Contours, & Chord Cycles

“The poet only asks to get his head into the heavens. It is the logician who seeks to get the heavens into his head. And it is his head that splits.” – G.K. Chesterton, Orthodoxy

Below are 24 possible orderings of a 7th chord arpeggio.

I have organized the combinations across a six-day practice cycle for digestibility:

Though notated as C Major 7 arpeggios, these permutations can represent other harmonies. I highly recommend playing the permutations through harmonized scale “cycle” progressions, “tweaking” the intervals to suit the chord qualities involved in a given progression:

Various contours are possible, depending on the octave chosen for each of the tones. Here are four different contours for the same combination (1357):

Here are the same four contours, transposed up an octave:

Now through the harmonized Melodic Minor scale, Cycle 2:

The same four contours, transposed up an octave:

Now through the harmonized Harmonic Minor scale, Cycle 2:

The same four contours, transposed up an octave:

As you can see, the possibilities are endless.

Try practicing a few permutations per day through either Major, Melodic Minor, or Harmonic Minor harmonized scales.

Remember to explore the various “Cycle” progressions, listed above.

It’s not reasonable to practice every pattern, but you’ll discover some exciting things if you occasionally dip into this well of possibility.