Harmonic and Melodic Equivalence V17 Trichord Pair
This course examines a two 3 note pair that works over a dominant chord. Most commonly it is used for a dominant that resolves up a fourth to a minor chord. This is an extremely useful two trichord combination and when included with Harmonic and Melodic Equivalence V16 it gives you a new modern sound to use for the two common ways a dominant chord resolves. That being up a fourth to a major or minor chord. This is a must own book because of the properties just mentioned in my opinion.
Two Trichords
Two 3 note pairs and also be called “two trichords.” Two trichords which unlike a two triad pair are not build in thirds. The term was coined by Milton Babbitt to distinguish a three note collection from a triad built in 3rds. Trichords form a sound that is very useful to a modern improviser both as melodic and harmonic content. Through the Harmonic and Melodic Equivalence Series these trichords are studied in-depth. I think you will find them to be a welcome addition to your improvisational palette.
Harmonic and Melodic Equivalence V17 Trichord Pair
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Background Information on a Two Triad Pair or Two Trichords
“Harmonic and Melodic Equivalence Trichord Pair” is a series of books that will help you to develop many different musical skills simultaneously. The source materials for this book are exercises that contain two 3 note groupings which are not built in thirds. First a little background, “two triad pairs” consist of two 3 note groupings that are built in 3rds. These combinations typically use a major, minor, diminished or augmented triad and when grouped into a collection of two are called a “two triad pair.”
A trichord pair on the other hand takes any of the 9 other possible 3 note combinations and builds pairs using these pitch class sets. These include 012, 013, 014, 015, 016, 024, 025, 026 and 027. Any three note group can be referred to as a “trichord” but is more commonly used when speaking of a three note grouping not built in thirds. Trichords can also be referred to as non-tertial two triad pairs.
The exercises found in this course use many different types of harmonic and melodic ideas that can be superimposed over common chord progressions, scales and other musical situations. This course concentrates on the 027-026 combination. An example of that would be C, D, G and E, Ab, Bb. Notice that these six notes work over a 7 chord and are part of a mixoldyian sound resolving up a 4th to a minor chord or could be used for any diatonic chord in the melodic minor ascending scale. This combination is extremely useful for an improvising musician and the book contains many examples of how to apply this combination to different situations. There are also many charts included in this course to show you how these notes function in all 12 keys.
Unique Aspect of These Two Trichord Books
The two trichord books are pretty unique to the Muse Eek Publishing Inc. catalog. The various non-tertial two triad pairs found in this collection are both beautiful and highly applicable to modern improvisation. They work well as a melodic and harmonic device and Mr. Arnold has written a body of work through both recordings, videos and books dedicated to these non-tertial combinations. As with all of Mr. Arnold’s books there is a sharp focus on the ear training and the “Harmonic and Melodic Equivalence Two Trichord” Series is no different. Each exercise or chart is always relating back to the idea of how you would hear these notes within a key center. This book includes a section where the two trichord pair are put into common chord progressions but more importantly shows you how these progressions relate to the overall key center. Learning music based on how your hear it rather than relating everything to a chord by chord approach is the rosetta stone of music. This is the secret to the previously undecipherable mystery of understanding music from an aural perspective.
Harmonic and Melodic Equivalence Series
This course is part of the Harmonic and Melodic Equivalence Series which explores over 50 different either trichord pairs or two triad pairs. To see all volumes follow the link above to explore each volume and hear examples from each course as well as finding links to compositions that I’ve written using each combination.
Harmonic and Melodic Equivalence Exercises
This course is divided up into two sets of exercises written in treble and bass clef. The 1st set of exercises gets gradually harder but also more musical. Depending upon your musical skills you can start anywhere you want but for beginners I would recommend starting from the 1st exercise of the five. The 2nd set of exercises are called “Atomic Scales.” These exercises are a technical exercise that really helps you to learn these ideas but also sound great as a melody right off the bat. There are 6 different types of “Atomic Scales” exercises in this course. You don’t have to play every exercise in every key. But doing this will greatly increase the likelihood of you using it in real music in the future. Below is a listing of the exercises found in this course:
- Closed position studies.
- 1st inversion studies.
- 2nd inversion studies.
- Random combinations of closed position along with 1st and 2nd inversion.
- Random combinations of closed position along with 1st and 2nd inversion with rhythmic displacement.
- Atomic Scales Exercise 1
- Atomic Scales Exercise 2
- Atomic Scales Exercise 3
- Atomic Scales Exercise 4
- Atomic Scales Exercise 5
- Atomic Scales Exercise 6
Explanation of 2nd Set of Exercises in Harmonic and Melodic Equivalence V17 Trichord Pair Course
Below is an explanation for each set of the 6 different atomic scale exercises found in this course. Three octave sequences that move back and forth between the two 3 note groups are presented in six different configurations. These exercises are highly melodic and can be used verbatim as melodies when soloing. If we thought of the three notes as A,B,C then there would be six different ways to combine these notes. i.e. ABC, ACB, BAC, BCA, CAB and CBA. All exercises include MP3s as well as midi files so that you can hear and play these exercises at any tempo as well as versions in all 12 keys.
- Three octave sequences that move back and forth between the two 3 note groups in the ABC sequence
- Three octave sequences that move back and forth between the two 3 note groups in the ACB sequence
- Three octave sequences that move back and forth between the two 3 note groups in the BAC sequence
- Three octave sequences that move back and forth between the two 3 note groups in the BCA sequence
- Three octave sequences that move back and forth between the two 3 note groups in the CAB sequence
- Three octave sequences that move back and forth between the two 3 note groups in the CBA sequence
1st Set of Exercises in Harmonic and Melodic Equivalence V17 Trichord Pair Course
Here are a few examples from the 1st set of exercises. A complete list of the different types of exercises can also be found below.
Closed Position Exercise
MP3 example
1st Inversion Exercise
MP3 example
2nd Inversion Exercise
MP3 example
Random combinations of closed position along with 1st and 2nd inversion.
MP3 example
Random combinations of closed position along with 1st and 2nd inversion and rhythm permutation
MP3 example
2nd Set of Exercises in Harmonic and Melodic Equivalence V11B Course
Here are a few examples from the 2nd set of exercises.
Atomic Scales 1st Rotation
MP3 example
Atomic Scales 2nd Rotation
MP3 example
Atomic Scales 3rd Rotation
MP3 example
Atomic Scales 4th Rotation
MP3 example
Atomic Scales 5th Rotation
MP3 example
Atomic Scales 6th Rotation
MP3 example
TOC in the Harmonic and Melodic Equivalence V17 Trichord Pair Course:
- How to Use This Course
- Harmonic/Melodic Possibilities of 027-026 combination.
- Chord Possibilities of this 027-026 combination
- Two triad pairs rotations Starting on every eighth note
- How to think of these an 027-026 combinations that are used in this course
- The 027-026 combination Daily Exercise-Atomic Scales
- Thinking of these two triad pairs as applications to Modes
- Thinking of these two triad pairs as One Scale
- C, D, G and E, Ab, Bb as One Scale in All Keys
- Forming chord progressions with two triad pairs
- Forming extended chord progressions with two triad pairs
- Choosing chord progressions from two triad pairs
- Additional practice ideas
Get Harmonic and Melodic Equivalence V17 Trichord Pair Today!
Status: In stock, Digital book is available for immediate access.
Additional Information for Harmonic and Melodic Equivalence V17 Trichord Pair:
- Digital Edition 978-1-59489-267-7
- One 14 page PDF explaining exercises, 5 different types of exercises, 328 pages of exercises in PDF format in treble and bass clef.
- Information and examples of forming extended chord progressions with this two triad pair.
- MP3’s and Midi files for all exercises.
- 12 MP3s from Tuba MetroDrone®
What people are saying:
OK so now I’m seeing a whole different picture with this book and the Harmonic and Melodic Equivalence V16. These couple of books are like the two ways that I commonly use a dominant chord. V16 is used when a dominant chord resolves to a major chord or is used as a one chord vamp and V17 is used when the dominant resolves to a minor chord up a fourth. This is awesome for both melodies and chords. Thanks so much for spelling this out for me, this is very useful! J. Ogland
Hi, I just became aware of your Harmonic and Melodic Equivalence Series a few days ago. I have to say this is the most comprehensive group of books on the subject that I’ve ever seen. What I like about this is all the practice exercises that you give for each course. I’ve seen some of this information about two 3 note groups other places but they never tell you how to practice the stuff. This is great how you break down each exercise and talk about using the various hexatonic or trichords for chord progressions. Very enlightening! D. Anders
Bruce I think the thing that is really striking home for me with these various releases is the importance of 026 as a three note group. The whole Harmonic and Melodic Equivalence Series that covers the 026 in various settings and the fact that it’s a killer way to build reharmonizations or just to play over changes is really striking. I never thought this way and now I’m really seeing the power behind these pitch class sets. Really appreciate the info! A. Harry