Barry HarrisThe method
2.4

Minor thirds and key families (brothers and sisters)

Barry called the minor third the most important interval. Keys a minor third apart, such as C, E♭, F♯ and A, spell one diminished chord and form a family, as do the four dominants from one diminished: play with your family first.

In plain words

Everything is minor thirds, Barry told Eli Yamin: the minor third is the most important interval of all. The whole-tone scale gives you major thirds, but the diminished chord is built of minor thirds, and that is what makes families. The major keys of C, E♭, F♯ and A, the four notes of one diminished chord, are brothers and sisters: C’s family is E♭, E♭’s is F♯, and so on.

Jazz theory, part 1: key families a minor third apart4:585:35The minor-third family0:00

The same goes for dominants. Lower each note of a diminished chord a half step in turn and you get four dominant sevenths, also a minor third apart; from C diminished they are B7, D7, F7 and A♭7. Barry called them brother and sister, children who grew up together, and asked who you play with first: your brothers and sisters.

Jazz theory, part 3: four dominants from one diminished8:369:10Student performances and coaching32:0733:51Believe: a talk to musicians19:4120:15

Grouping keys this way shapes practice. Barry put Eli through a ‘torture test’ in four keys, C, E♭, F♯ and A, one after the other, so that each key is learned with its relatives: practise C and you practise E♭ too, because they are related.

Jazz theory, part 1: key families a minor third apart2:303:454:234:585:35

For Barry this is what the diminished scale is really about. Defining it as half step, whole step tells you nothing; what it gives you is families, and someone who does not know that four dominants come from every diminished and belong together gets nothing from it.

The last train to Monk: an interview30:48Believe: a talk to musicians19:4120:15

Step by step

  1. Stack minor thirds from a key’s tonic to find its family.

    C’s family
    𝄞♭♯
    1. C
    2. E♭
    3. F♯
    4. A

    Jazz theory, part 1: key families a minor third apart4:58The minor-third family0:00

  2. Those four notes are one diminished chord, and there are only three diminished chords, so the twelve keys fall into three families of four.

    D♭’s family
    𝄞♭♭
    1. D♭
    2. E
    3. G
    4. B♭
    D’s family
    𝄞♭
    1. D
    2. F
    3. A♭
    4. B

    Jazz theory, part 1: key families a minor third apart4:58Student performances and coaching29:53Howard Rees, Chord Explorations ¶8

  3. For the dominants: lower each note of the diminished chord in turn; the lowered note is the root of a dominant seventh, and the four are one family.

    Roots of the four dominants from C dim7
    𝄞♭
    1. B
    2. D
    3. F
    4. A♭

    Jazz theory, part 3: four dominants from one diminished8:36Student performances and coaching32:07

How he said to practise it

In Barry’s words

Each one plays from the moment he says it. Every other moment he teaches it is listed below.

Everything is minor thirds. Minor thirds is the most important thing of all.

Jazz theory, part 1: key families a minor third apart, New York City. Lincoln Center lesson, after the four-key exercise with Eli Yamin 4:51 Watch on YouTube at 4:51

The family is minor thirds. C is the family [of E flat]...

The minor-third family, Rome, 2010–19. Rome class, March 2016 0:00 Watch on YouTube

They’re brother and sister. Who do you play with first? Your brother and your sister... You play with your family first.

Jazz theory, part 3: four dominants from one diminished, New York City. On the four dominants that come from C diminished 9:10 Watch on YouTube at 9:10

All of you should be practicing those four dominants. They’re brother and sister, they grew up together.

Student performances and coaching, New York City, 2004. Artists House master class, after finding the dominants from a diminished 33:51 Watch on YouTube at 33:51

Where this comes from

Everything above is drawn from these. Open any one to check it.

Every moment he teaches it12 moments in 7 recordings

Each time opens the transcript there; the video plays when you are online.

Jazz theory, part 1: key families a minor third apart

New York City — 12 min On YouTube

  1. 4:58

    Everything is minor thirds: C, E♭, F♯ and A are brothers and sisters, one family.

    Watch on YouTube at 4:58

  2. 2:30

    Starts a ‘torture test’ for Eli Yamin: playing in four keys.

    Watch on YouTube at 2:30

  3. 3:45

    Steers Eli through the keys, naming the two and one of each new key.

    Watch on YouTube at 3:45

  4. 7:25

    Second round through the keys; Barry notes Eli is getting to know each of them.

    Watch on YouTube at 7:25

The minor-third family

Rome, 2010–19 — 1 min On YouTube

  1. 0:00

    Rome 2016: the family is minor thirds; C, E♭, F♯ and A are one family.

    Watch on YouTube

Jazz theory, part 3: four dominants from one diminished

New York City — 12 min On YouTube

  1. 8:36

    Lowers each note of C diminished: B7, D7, F7, A♭7.

    Watch on YouTube at 8:36

  2. 9:10

    The four dominants are brother and sister: play with your family first.

    Watch on YouTube at 9:10

Student performances and coaching

New York City, 2004 — 45 min On YouTube

  1. 33:51

    Dominants from one diminished grew up together; everyone should practise those four.

    Watch on YouTube at 33:51

  2. 36:05

    A family of four: the children play with each other first; run E♭7 into C7.

    Watch on YouTube at 36:05

Believe: a talk to musicians

Almería, 2014 — 60 min On YouTube

  1. 19:41

    Four dominants from every diminished are brother and sister; half-whole definitions miss this.

    Watch on YouTube at 19:41

The last train to Monk: an interview

various, 1987–2019 — 34 min On YouTube

  1. 30:48

    What the diminished scale gives us is families, which teachers do not know.

    Watch on YouTube at 30:48

Introducing the sixth diminished scale

The Hague, 1989–98 — 27 min On YouTube

  1. 13:41

    Names D7’s relatives, F7, A♭7 and B7; their triads in the chord sound right: family.

    Watch on YouTube at 13:41

From the lessons2 lessons, 6 points

Notes taken from Barry’s classes, each tied to the moment it comes from.

Minor thirds and the diminished family

  1. Idea

    The twelve notes divide into two whole-tone scales and into three diminished seventh chords, and nothing goes beyond those twelve. Barry reminds the class of this as a basic fact to know before working with diminished chords.

    Jazz theory, part 2: drop voicings4:58

  2. Idea

    Everything is minor thirds, Barry says; it is the most important interval of all. The whole-tone scale gives you major thirds, but the diminished chord gives you minor thirds. So the major keys a minor third apart, C, E-flat, F-sharp and A, are brothers and sisters: one family. C major’s family is E-flat, F-sharp and A, and you practise them together.

    Jazz theory, part 1, with score4:23

  3. Exercise

    In a class in Bilbao, given through a Spanish interpreter, Barry described the diminished scale as the four notes of the diminished chord combined with the roots of the dominants it relates to. Each diminished note therefore sits between two of those roots: E-flat, for example, is surrounded by D and F. Exercise: from a diminished note, move to a neighbouring note and come back to the original, and do this through every inversion of the diminished chord.

    Diminished chords0:331:091:412:18

  4. Idea

    The first way to modulate, Barry says, is with the diminished chord. He calls the diminished the ruler: you may think you are heading for G, but the diminished can say no and take you to F, B-flat or C instead. One diminished chord can lead you into several different keys.

    11 March 2016, part 2: the diminished as ruler2:39

Swapping dominants within the family

  1. Idea

    Barry called the minor third the most important interval of all. Major thirds are good too, since the whole-tone scale is built from them, but the diminished chord gives you minor thirds. The major keys C, E-flat, F-sharp and A are brothers and sisters, one family: C’s family includes E-flat, E-flat’s includes F-sharp, and so on.

    Jazz theory, part 1: key families a minor third apart4:58

  2. Idea

    Barry treated E-flat 7 and C7 as one family: E-flat 7, he said, stands for C7, and when he plays a half-diminished he plays E-flat 7 to C7, because E-flat 7 gives the G half-diminished. He also linked C7 and A7 to E half-diminished. From the E-flat 7 he went into F-sharp 7 to get into the tritone, which he said starts something else altogether. The four dominants of a family, he said, play with each other first.

    Student performances and coaching35:1836:06

In writing5 notes

What his interviews, his students’ class notes and other teachers’ articles add.

How other teachers explain it7 videos, 10 series episodes

Barry’s students, and their students, teaching it their way. A second opinion, not Barry.

In the teaching series

Episodes on this idea in the long series by other teachers. Each name opens that whole series in order.

Where the accounts differ1 point
Read further3 links

These open on the web.

Free to read

  • Howard Rees, Jazz Workshops

    — Free article by Howard Rees with Barry’s brothers-and-sisters line and the four related dominants in notation.

Books and paid courses