In plain words
Play a diminished seventh chord and drop one note a half step: you have a dominant. Do it to each note in turn and C diminished gives B7, D7, F7 and A♭7, the four dominants that are brother and sister to each other. Barry learned this years ago where he came from, from other players and from records; only later did he find that Schoenberg had written it down. He thought guitarists especially should know it.
Jazz theory, part 3: four dominants from one diminished8:369:10Believe: a talk to musicians20:5121:26
Barry’s question was why Schoenberg only said to move the note down. Raise it instead: raising the C of C diminished gives an F♯ minor 6, and any one note raised gives a minor sixth, which you might also call a half-diminished.
Jazz theory, part 4: borrowing diminished notes3:206:18Jazz theory, part 5: the sixth diminished scale0:36
Then move two notes. Two consecutive notes of the diminished, lowered or raised together, give a major sixth: lower C and E♭ for D6, raise them for A6. Two notes that are not neighbours give a seventh with a flat five. In his 2003 class in The Hague Barry added that every seventh with a flat five is two dominants, so that learning six of those scales gives you all twelve.
Eyes of the Masters: the first progression1:54Jazz theory, part 5: the sixth diminished scale0:361:15Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶42
So the dominant 7, minor 6, major 6 and 7♭5 all grow out of the diminished, which is where the four scales of chords come from. The point is movement: Barry’s first progression is a minor sixth going down to the diminished and on down to the dominant it comes from, and he wanted the progressions these moves make learned, not just the chords.
Jazz theory, part 5: the sixth diminished scale4:265:03Eyes of the Masters: the first progression0:021:54Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶42
Step by step
Lower any one note of a diminished chord a half step: the lowered note is the root of a dominant 7th. From C diminished (C E♭ F♯ A):
Lower C: B7- B
- D♯
- F♯
- A
Lower E♭: D7- D
- F♯
- A
- C
Lower F♯: F7- F
- A
- C
- E♭
Lower A: A♭7- A♭
- C
- E♭
- G♭
Jazz theory, part 3: four dominants from one diminished8:36Believe: a talk to musicians20:51Howard Rees, Evolutionary Voicings, Part I: Barry Harris Keeps Things Movin’ ¶11
Raise any one note a half step: you get a minor sixth chord (the same notes as a half-diminished).
Raise C: F♯ minor 6- F♯
- A
- C♯
- D♯
Raise E♭: A minor 6- A
- C
- E
- F♯
Raise F♯: C minor 6- C
- E♭
- G
- A
Raise A: E♭ minor 6- E♭
- G♭
- B♭
- C
Jazz theory, part 4: borrowing diminished notes3:20Jazz theory, part 5: the sixth diminished scale0:36Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶54
Move two neighbouring notes together, down or up: you get a major sixth chord.
Lower C and E♭: D6- D
- F♯
- A
- B
Raise C and E♭: A6- A
- C♯
- E
- F♯
Eyes of the Masters: the first progression1:54Jazz theory, part 5: the sixth diminished scale0:36Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶54
Move two notes that are not neighbours (they lie a tritone apart): you get a seventh with a flat five, which can be named from either of two roots.
Lower C and F♯: B7♭5 (the same notes as F7♭5)- B
- D♯
- F
- A
Jazz theory, part 5: the sixth diminished scale1:15Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶42
Turn the moves into movement. Barry’s first move: raise a note for a minor sixth, bring it back to the diminished, then lower it once more for the dominant.
C minor 6- C
- E♭
- G
- A
C diminished- C
- E♭
- F♯
- A
F7- C
- E♭
- F
- A
Eyes of the Masters: the first progression0:02Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶42
His next move works with two notes: raise F♯ and A of C diminished, move them back down to the diminished, then down once more.
C E♭ G B♭ (C minor 7 = E♭6)- C
- E♭
- G
- B♭
C diminished- C
- E♭
- F♯
- A
C E♭ F A♭ (F minor 7 = A♭6)- C
- E♭
- F
- A♭
How he said to practise it
Lower each note of C diminished in turn and name the dominant, as Barry had a pianist do; then go back and raise each note and name the minor sixth.
Jazz theory, part 3: four dominants from one diminished8:36Jazz theory, part 4: borrowing diminished notes3:20
Move pairs: neighbouring notes up and down for the major sixths, then opposite notes for the 7♭5 chords, and learn the progressions they make.
Jazz theory, part 5: the sixth diminished scale0:361:15Eyes of the Masters: the first progression1:54
Play the first progression until it is in your hands: minor sixth, down to the diminished, down to the dominant it comes from.
Eyes of the Masters: the first progression0:02Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶42
In Barry’s words
Each one plays from the moment he says it. Every other moment he teaches it is listed below.
That diminished seven... you dropped it one note at a time, you’ll find out that you got a dominant.
Why would you say move the note down and not move it up?
If you want major sixes from a diminish[ed]... all you do is lower two consecutive notes or... raise those two consecutive notes.
That’s the minor six going down to the diminish[ed], down to the dominant that it comes from.
Where this comes from
Everything above is drawn from these. Open any one to check it.
Every moment he teaches it10 moments in 5 recordings
Each time opens the transcript there; the video plays when you are online.
Jazz theory, part 3: four dominants from one diminished
- 8:36
Lowers each note of C diminished in turn: B7, D7, F7, A♭7; the four are brother and sister.
Jazz theory, part 4: borrowing diminished notes
Jazz theory, part 5: the sixth diminished scale
Eyes of the Masters: the first progression
Believe: a talk to musicians
- 20:51
Guitarists should drop one note at a time to find the dominants; he learned it in the street.
From the lessons1 lesson, 4 points
Notes taken from Barry’s classes, each tied to the moment it comes from.
One diminished chord, many chords
- Exercise
Play a diminished seventh chord and lower one note at a time by a half step: each time you get a dominant seventh chord. Barry credits Schoenberg with stating the rule: lower the C of C diminished (C, E-flat, F-sharp, A) to B and you have B7. He called the guitar the best instrument for really learning the diminished, and said guitar players especially are supposed to do this.
Believe: a talk to musicians20:1520:51Jazz theory, part 4: borrowing diminished notes3:20Jazz theory, part 5: the sixth diminished scale0:36
- Idea
Barry learned the lower-one-note trick years ago, from other players and from listening to records where he came from, long before he found out that Schoenberg had written it down. He could not have afforded Schoenberg’s book back then.
Believe: a talk to musicians20:51
- Idea
Barry asked why Schoenberg only said to lower the note. Raise it instead: raising the C of C diminished gives C-sharp, E-flat, F-sharp, A, a minor sixth chord on F-sharp. Raising any one note of a diminished chord gives a minor sixth chord, which you might also call a half-diminished.
Jazz theory, part 4: borrowing diminished notes3:206:18Jazz theory, part 5: the sixth diminished scale0:36
- Exercise
Now move two notes at once. Lowering or raising two neighbouring notes gives a major sixth chord: on C, E-flat, F-sharp, A, lowering C and E-flat gives B, D, F-sharp, A (D6), and raising them gives C-sharp, E, F-sharp, A (A6). Moving two notes that are not neighbours gives a seventh chord with a flat five. So one diminished chord leads to dominant sevenths, minor sixths, major sixths and seventh-flat-five chords. Then learn the progressions these make.
Jazz theory, part 5: the sixth diminished scale0:361:15Eyes of the Masters: the first progression1:201:54
In writing5 notes
What his interviews, his students’ class notes and other teachers’ articles add.
Barry’s own words from his 2003 class in The Hague, written out by Howard Rees: after the dominants and minor sixths come major sixths from two consecutive notes, lowered or raised, and a 7♭5 from two non-consecutive notes. The first move is minor sixth to diminished to dominant; learn these scales for chording.
Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶39Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶42
Howard Rees’s ‘drop a root, float a note’ chart: lowering a note of a diminished is borrowing from the diminished a half step below and gives the family of four dominants; raising one borrows from the diminished above and gives a family of half-diminished II chords, each a II to one of those dominants.
Howard Rees with Ernie Rideout, Diminished Dimensions ¶9Howard Rees with Ernie Rideout, Diminished Dimensions ¶10
Vera Marijt’s chart for C diminished: raising pairs of neighbouring notes gives A6, C6, E♭6 and G♭6 (that is, F♯m7, Am7, Cm7, E♭m7); raising single notes gives minor sixths; lowering single notes gives dominants, and lowering pairs another set of major sixths.
Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶54Vera Marijt (research coach Jarmo Hoogendijk), Barry Harris: Exploring the Diminished (MA research paper) ¶55
A forum summary points out that the four minor sixths from one diminished (G♭m6, Am6, Cm6, E♭m6 from C diminished) lie a minor third apart and move together like the diminished itself, just as the four dominants do.
jazzguitar.be members (usernames kept per post), Official Barry Harris Thread (jazzguitar.be forum thread) ¶1933jazzguitar.be members (usernames kept per post), Official Barry Harris Thread (jazzguitar.be forum thread) ¶1934
A forum example of chaining the moves: raise two notes for a major sixth, lower them back to the diminished, lower one note for a dominant, then flatten its fifth before resolving.
How other teachers explain it3 videos, 14 series episodes
Barry’s students, and their students, teaching it their way. A second opinion, not Barry.
- My Chat With Chris Parks From Things I Learned From Barry Harris
Finds B diminished’s family by lowering one note at a time: B♭7, E7, G7, D♭7.
62 min, transcript On YouTube
- Jazz GUITAR Reflections on BARRY HARRIS
On guitar, raises each note of D7’s diminished for four minor sixes, naming the minor six on the five and the tritone’s minor.
1.7 h, transcript On YouTube
- Using Diminished Inversions as Dominant 7th Voicings
Using diminished inversions as dominant 7th voicings, resolving five to one.
4 min, transcript On YouTube
In the teaching series
Episodes on this idea in the long series by other teachers. Each name opens that whole series in order.
Read further5 links
These open on the web.
Free to read
- researchcatalogue.net
— Vera Marijt’s thesis prints Barry’s 2003 Hague explanation and a chart of every chord from C diminished.
- Howard Rees, Jazz Workshops
— Rees shows the four dominants from one diminished, and major and minor sixths from it.
- jazzguitar.be members (usernames kept per post), Official Barry Harris Thread (jazzguitar.be forum thread)
— A poster’s numbered rules for deriving the chords and how they relate.
Books and paid courses
- Howard Rees with Ernie Rideout, ‘Diminished Dimensions’, Keyboard Magazine Apr 2004 (borrow from the diminished a half step above/below; lower a note -> family of dominants, raise -> family of m7b5)
student (Howard Rees) — Howard Rees’s ‘drop a root, float a note’ chart: dominants below, half-diminished II chords above.
- Fiona Bicket, ‘Tutorial Part II: The Four Important Chord Types and Their Scales’ (20 pp): maj6, min6, dom7, 7b5 from the diminished scale; the four scales; the extended family; whole tone to diminished
student, sold on Barry’s official site — Fiona Bicket’s tutorial on the four chord types from the diminished, sold on Barry’s site (paid).