music theory online : chords in detaillesson 17
Dr. Brian Blood




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There is nothing more difficult than talking about music.
Camille Saint-Saëns (1835-1921) French composer

Seventh Chords :: Inverted Chords :: Slash Chords :: Extended Chords (9th, 11th, 13th) :: Special Chords :: Naming Chords
supplement: Piano Chords & Scales by Colm Mac Cárthaigh


Important: To see and hear our 'live' music examples you will need to install the free Scorch plug-in for PC and MAC systems.


Seventh Chords ::

In the previous lesson we introduced the nomenclature used to identify different chords. We met terms such as major, minor, augmented, diminished, dominant, dominant seventh, and so forth. These names are part of a system that defines the quality of chords by how various intervals of a third are built one upon another.

There is one aspect of chord naming that causes many people considerable problems. Music theory sometimes names chords according to how they are constructed - one might call this the structural approach. However, it can also name chords according to the role they play in a particular harmonic progression - one might call that the functional approach. A student of music theory should be familiar with both approaches so that you can appreciate the benefits of understanding what chords are as well as what they do.

This point is particularly important because different publishers work within different naming traditions and can use different naming styles: East Coast, West Coast, Nashville and so on.

In this lesson we are going to introduce more 'exotic' chords, show how they may be notated and how they might be used.

We discussed earlier the chord numbering of each degree of the C major scale harmonised in sevenths. Let us look at these chords again in greater detail. To hear these chords press the play button in the bar below.

C major scale harmonised in sevenths

The first and fourth are major seventh chords, the second, third and sixth are minor seventh chords, the fifth is a dominant seventh chord while the last, the seventh, is called a minor seventh flat five chord.

The harmonised natural minor scale in sevenths is shown below. To hear these chords press the play button in the bar below.

C natural minor scale harmonised in sevenths

The four chord types we met with the harmonisation of the major scale in sevenths occur again but in a different order.

We summarise below the seventh chords that arise from harmonising major, natural, melodic and harmonic minor scales.

Chord NameTriadSeventhAbbreviationOther Comments
Dominant Seventh majorminorMm7 The most common type of 7th chord having the simplest name, just the number 7 added to the root letter.
For example: C7, F7, E7 all indicate dominant 7th chords.
Major Seventh majormajorMM7 Named with the abbreviation Ma7
For example: CMa7, EMa7, F#Ma7 indicate major 7th chords.
The abbreviation M7 may also be used. For example: CM7
Minor Seventh minorminormm7 Named with the addition of mi7 or -7 to the letter name.
For example: Cmi7, Gmi7, Dmi7 all indicate minor 7th chords.
C-7, D-7, A-7 may also be used.
Diminished Seventh
(also called Fully Diminished Seventh)
diminisheddiminisheddd7 Named with the small raised circle and a 7.
For example: C°7, B°7, and D°7 all indicate a fully diminished 7th chord.
Half Diminished Seventh
(also called Minor Seventh Flat Five or Tristan Chord)
diminishedminordm7 The name relates them to the minor 7th, but with a lowered or flattened 5th.
For example: Cmi7(b5), Ami7(b5) indicate half diminished chords.
Note: Sometimes half diminished is indicted by a small circle with a slash through it. This symbol is more common in Roman numeral analysis than chord names.
Augmented Triad, Major Seventh
(also called Augmented Seventh)
augmentedmajoraM7  
Minor Triad, Major Seventh
(also called Minor Major Seventh)
minormajormM7  

We also summarise the degree of the scale where each type of seventh chord occurs.

  Major Scale Natural Minor Scale Harmonic Minor Scale Melodic Minor Scale
Dominant 7th. V VII V IV, V
Major 7th. I, IV III, VI VI  
Minor 7th. II, III, VI I, IV, V IV II
Diminished 7th.     VII  
Half Diminished 7th.
Minor 7th Flat 5
VII II II VI, VII
Augmented 7th
Augmented Triad, Major Seventh
    III III
Minor Triad, Major Seventh     I I

One area of confusion when naming or identifying seventh chords is the use of the term dominant seventh chord. If you look at the table above summarising the degree of the scale where each type of seventh chord occurs, you will see that the dominant seventh need not lie only on the Vth degree of the scale, the degree we call the dominant. Indeed, in the natural minor scale, the dominant seventh chord lies on the VIIth degree not on the Vth degree. The point to remember is that the dominant seventh chord is any chord formed by adding a minor seventh to a major triad. Remember too that the chord's note name is determined by its root note. So the chord G B D F is written G7 because the root note is G. G B D is a major triad and F is the minor seventh above G. This chord, therefore, is a dominant seventh chord. In the key of C major, the notes G B D F form a seventh chord on the Vth degree, i.e. a dominant seventh on the dominant of the scale. This is also true for the C minor natural and C minor melodic scales. However, the same notes, G B D F, are a G7 chord and a dominant seventh on the fourth (IV) degree of the D melodic minor scale. For completeness, we note finally that the notes G B D F are also a G7 chord and a dominant seventh on the seventh (VII) degree of the A natural minor scale.

One useful convention for naming any seventh chord is:

root pitch letter, then triad quality, then seventh quality

For example, an Ab Major Minor 7 chord: the first term (Ab) tells us the root of the chord; the second term (Major) identifies the quality of the triad that forms the lower three notes of the seventh chord; and, the third term (Minor) identifies the quality of the interval of the seventh formed between the root and the seventh.

Long Name ExamplesShort or Abbreviated Name(s)Chord Notes (root to seventh)
F Major Major 7FM7, FMaj7, F Major 7F A C E
F Major Minor 7F7, also called Dominant 7F A C Eb
F Minor Major 7FmM7F Ab C E
F Minor Minor 7Fm7, Fmin7, F minor 7F Ab C Eb
F Diminished Major 7FdM7F Ab Cb E
F Diminished Minor 7Fø7, Fm7b5F Ab Cb Eb
F Augmented Major 7F+M7, FM7#5F A C# E
F Augmented Minor 7F+7, F7#5F A C# Eb
F Diminished 7F°7, Fdim7F Ab Cb Ebb


Inverted Chords ::

While it is easier to number chords assuming that they are in root position and that the notes above the root complete a close triad or chord, in practice, musicians arrange their chords in a wide variety of ways and we must consider how these might be described. Even if the chord is in root position, whether the third or the fifth lie lower and which notes are repeated are both important to the chord's sound. The vertical order of the notes in a chord is called its 'voicing'.

We looked at this point earlier but now we want to consider how inverted chords are notated in popular music. We give some examples below which you can hear using the play bar below the score.

Inverted Chords

Note that in each line the chord is the same but progresses through a series of inversions.

On the first line the chord is C major, in root, first and second inversion.
On the second line the chord is a major seventh chord on C in root, first, second and third inversion.

It is actually not good practice to place 'ma' after a major chord. A C major chord should be written C; a C minor chord would be written Cmi. This allows you to add further major intervals to a major chord as, for example, Cma7, which means a C major chord with a major 7th - the 'ma' used as a qualifier for the '7' and not for the 'C' where it is understood.

The Roman notation we used for inverted triads may also be used to denote inverted chords. Thus, a small a after the chord name denotes a chord in root position (although this is usually omitted), a small b indicates that the chord is in first position, a small c that the chord is a second inversion, and so on.


Slash Chords ::

From the example above you will see that inverted chords can be shown using the notation chord tye, (named or numbered), then a slash /, then the name (or number) of the bass note, i.e. the note at the bottom of the played chord. This is called 'slash' notation.

For example:

C/E indicates a C major triad with E in the bass, that is a first inversion triad.
Dm/A indicates a D minor triad with A in the bass, that is a second inversion triad.
E7/D indicates E dominant 7th chord with D in the bass, that is in third inversion.

Sometimes you might see numerals used to indicate inversion, D6 for example. This usage is borrowed from Roman numeral analysis symbols. In chord names, numbers are usually used to indicate "added tone" chords; i.e. D6 might mean D major triad with the added pitch B.

Slash Chordsnotation: first: named or numbered chord; second: a slash /; third: numbered or named bass note
for example: C7/E = C major 7th with an E in the bass, in other words first inversion C major 7th chord

The whole subject of chord notation is covered more fully in lesson 30

References:

  • Dansm's Guitar Chord Theory - Slash Chords
  • Slash Chords for the Guitar
  • Exploring Slash Chords for Pianists
  • Interesting Chords for Pianists


    Extended Chords (9th, 11th, 13th) ::

    We discussed extended intervals, or extensions, in an earlier lesson. How might we notate the addition of extensions to a chord?

    The first point to make is that extensions of the tenth and twelve are just thirds and fifths plus an octave. The extensions of real interest are the ninth, eleventh and thirteenth. The chords are named for the extension; so, ninth chords, eleventh chords and thirteenth chords. The extensions are added to seventh chords, the quality and function of which is preserved. Thus, a dominant chord with an added ninth remains a dominant chord.

    For those who find the naming of extended chords rather baffling, remember that it is assumed that ninths are added to seventh chords to produce ninth chords, that eleventh and ninths are both added to seventh chords to produce eleventh chords and that thirteenths, elevenths and ninths are all added to seventh chords to give thirteenth chords. So if one calls a chord an eleventh it is assumed that the ninth and eleventh are present and that there is a seventh chord present too.

    The quality of the chord is determined by the seventh and the greatest extension names the chord. Thus, a major thirteenth chord will be a major seventh chord plus a ninth and a thirteenth, while a dominant ninth is a dominant seventh chord plus a ninth.

    There are a few practical rules about building extended chords. We list these below.

    Ninth Chordsmajor ninth is added to all possible seventh chords.
    Augmented Ninth ChordsChopin used the addition of an augmented ninth to a dominant seventh in his piano music.

    We illustrate the four ninth chords on C all in root position; in order they are

    major ninth (9)
    minor ninth (9)
    dominant ninth (9) and
    minor ninth flat five (9).

    Use the play bar below to listen to them.

    Ninth Chords

    Eleventh Chordsadd sharpened eleventh to major ninth and dominant ninth chords: sharp 11
    Eleventh Chordsadd perfect eleventh to minor ninth and minor ninth flat five chords: natural 11

    We illustrate the four eleventh chords on C all in root position; in order they are

    major eleventh (11)
    minor eleventh (11)
    dominant eleventh (11) and
    minor eleventh flat five (11).

    Use the play bar below to listen to them.

    Eleventh Chords

    Eleventh Chordsif the third is missing then adding a perfect eleventh produces a 'suspended fourth' chord: sus4 or sus
    Eleventh Chordsdo not confuse the dominant 11th chord (which has a #11th) with the dominant 9th sus4 chord (which has a perfect 4th that can be 'voiced' one octave higher as a perfect 11th) - see graphic below

    Thirteenth Chordsmajor thirteenth is added to the eleventh chords given above
    Thirteenth Chordsif, to relieve the texture, the eleventh is missing the chord remains a 13th;
    if, however, the eleventh is present but altered, this must be shown in the name of the chord


    Special Chords ::

    We have collected below a number of other chords that feature in modern popular music.

    Power Chordswhere one wants neutrality as to whether a chord is major or minor, you can leave out the third. A chord made up only of the key-note and its fifth (maybe plus octaves up or down) is called a power chord. It is written as the (letter name of the chord) together with the number 5: e.g. G5.
    Suspended Fourth Chordsif the third in a chord is changed to a fourth the chord feels as though it is waiting for the fourth to resolve back to the third. This feeling of suspension gives the chord its name, a suspended fourth chord. We have already pointed out in the table above that sometimes suspended fourth chords are mistakenly called eleventh chords.
    Add2 Chordsif a second is added to a major or minor triad or to a power chord the chord is called an add2 chord. A figure 2 is added to the end of the chord name, with a slash in the case of a power chord.
    Augmented & Diminished Fifth Chordsthe fifth is often raised (augmented) or lowered (diminished) in major triads and dominant seventh chords.
    Sixth Chordsif a major sixth is added to a major or minor triad the chord is called a sixth chord. The chord name is followed by a figure 6.
    Augmented Sixth Chordsthe German augmented 6th chord is derived from the raised subdominant, whereas the Swiss augmented 6th chord is derived from the raised supertonic chord. Both chords resolve to the key's dominant chord by way of the I 6-4 chord (to avoid parallel 5ths). The progression is: German aug. 6th (or Swiss aug. 6th)-»I 6-4 chord-»V chord.
    the English augmented 6th differs from the German augmented 6th in its 'spelling'. This is why the English augmented 6th is sometimes known as the misspelled German, Swiss or doubly augmented fourth
    the German augmented 6th chord is 'spelled' (1-3-5-#6), whereas the English augmented 6th chord is 'spelled' (1-3-x4-#6). The two chords are actually enharmonic because double sharp 4 (x4) and 5 are enharmonically equivalent
    the perfect fifth of the German augmented 6th chord is preferred in a major key when going to the I 6-4 because the approach to the 3rd of the tonic appears as an ascending minor second and not an ascending augmented unison
    Note: in the Italian augmented 6th, there is no fifth; in the German 6th, the fifth is perfect; in the French 6th, fifth is flattened. Despite these differences the chords are functionally identical
    Italian 'Augmented' Sixth Chordformed on the fourth degree of the scale and generally used in first inversion. Its root is raised creating an augmented sixth interval with the bass. Augmented sixth chords function by resolving the dissonance of the augmented sixth outward to the octave
    French 'Augmented' Sixth Chordformed on the second degree of the scale, it is a seventh chord, generally in its second inversion. Its third is raised in order to build an augmented sixth interval with the bass. (see also above)
    German 'Augmented' Sixth Chordbuilt on the fourth degree of the scale, it is a seventh chord generally used in its first inversion. Its root is raised in order to create an augmented sixth interval with the bass. (see also two above)
    Six/Nine Chordswhen both a major sixth and a major ninth are added to a major or minor triad the chord is called a 6/9 chord. A six/nine chord is shown as the chord name followed by 6/9.
    Polychordsa polychord is one triad placed above another, often used by keyboard players where each hand plays a different triad. The standard notation is to place one chord name above a horizontal line with the second chord name below the line.


    Naming Chords ::

    Legend for Chord Names in the key of C
    CC
    D
    DD
    E
    EFF
    G
    GG
    A
    AA
    B
    B
    Tonic or RootFlattened SupertonicSupertonicmin3maj3455+6V7maj7
    Octave9maj9  1111  13  

    Chord as writtenChord as namedChord notes
    Two Note Chord
    C5, C(no3), C(omit3)C power chordC G
    Three Note Chord (Triad)
    Cm5, Cmi5, Co, C dimC minor flat 5 or C diminishedC E G
    Cm, CmiC minor triadC E G
    C5C major flat 5 triadC E G
    CC or C major triadC E G
    C+C augmented triadC E G
    Csus4, CsusC suspended 4th triad where the third of the major triad is raised by a semi-tone (half-step). Because the third is absent, the triad is neither major nor minor.C F G
    Four Note Chord
    Cmi2, Cm(add2)C minor add 2C D E G
    Cmi4, Cm(add4)C minor add 4C E F G
    C2, C(add2)C major add 2C D E G
    C4, C(add4)C major add 4C E F G
    Cdim, Co, Co7C diminished seventhC E G B
    Cm75, Cmi75, CøC half diminished seventhC E G B
    Cm6, Cmi6C minor sixthC E G A
    Cm7, Cmi7C minor seventhC E G B
    C6C sixthC E G A
    C7, V7C seventh or dominant seventhC E G B
    Cmaj7C major 7thC E G B
    C7+, C+7C augmented 7thC E G B
    Five Note Chord
    Cm6/9, Cmi6/9, Cm69, Cm6(add9), Cm9/6C minor six ninthC E G A D
    Cm9, Cmi9C minor ninthC E G BD
    C79C seven flat ninthC E G B D
    C9C ninthC E G B D
    C95C ninth flat fifthC E G B D
    C79C seven sharp ninthC E G B D
    Cmaj9C major ninthC E G B D
    C6/7, C67, C6(add7), C7/6C six seventhC E G A B
    C6/9, C69, C6(add9), C9/6C six ninthC E G A D
    C79+, C+79C seven flat nine augmentedC E G B D
    C9+, C+9C ninth augmentedC E G B D
    C79+, C+79C seven sharp ninth augmentedC E G B D
    C9sus4, C9susC ninth suspended 4thC F G B D
    Six Note Chord
    Cm11, Cmi11C minor eleventhC E G B D F
    C799C seven flat ninth sharp ninthC E G B D D
    C7911C seven flat ninth sharp eleventhC E G B D F
    C911C ninth sharp eleventhC E G B D F
    Cmaj911C major ninth sharp eleventhC E G B D F
    C799+, C+799C seven flat ninth sharp ninth augmentedC E G B D D
    C7911+, C+7911C seven flat ninth sharp eleventh augmentedC E G B D F
    Seven Note Chord
    Cm13, Cmi13C minor thirteenthC E G B D F A
    C1311 9C thirteenth sharp eleventh flat nine or C dominant thirteenthC E G B D F A
    C1311, C13C thirteenth sharp eleventh or C thirteenth or C dominant thirteenthC E G B D F A
    Cmaj13, Cma1311C major thirteenth sharp eleventh or C major thirteenthC E G B D F A
    C13sus4, C13susC thirteenth suspended fourthC F G B D F A

    Added or missing notes can also by identified by writing (add, then the note, then ), writing (no, then the note, then ) or writing (omit, then the note, then ). The bracket convention is discussed further in lesson 30 where we also introduce a number of other special chords. Chord notation is not well standardised and you will need to recognise all notational forms, even those that we would not necessarily favour ourselves.

    Reference:

  • Chords Types for Guitarists
  • Virtual Piano Chords and Scales - see scales and chords on a piano keyboard


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