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    YoutubeMusic Theory Video SeriesA step-by-step guide to music theory fundamentals. These 60-second videos provide a clear, structured path to understanding how music works, optimized for a full-screen learning experience.YoutubeMusic Theory ShortsMaster music theory concepts in 60 seconds or less. Quick, vertical videos designed to give you essential theory knowledge in a fast-paced, mobile-friendly format.
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    1. Home
    2. Chord Library
    3. F
    4. Major thirteenth

    F Major thirteenth

    Major 13th chord (1–3–5–7–9–13); the most extensive diatonic major expansion, defined by the exclusion of the 11th and the inclusion of the 13th to achieve maximum consonant stability.

    majormaj13Maj13^13

    Similar chords

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    Which intervals and notes are in the F Major thirteenth chord?

    Intervals from the root that spell this chord and its chord tones.

    To which mode does F Major thirteenth belong?

    Parent scales and degrees where this chord appears as a diatonic sonority.

    Which scales can you play on the F Major thirteenth chord?

    Scales that contain this chord’s notes and usually fit over it.

    Practice the major thirteenth chord

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    Practice the major thirteenth chord

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    The major thirteenth (maj13) chord represents the ultimate expansion of major tonality. By stacking all available diatonic tensions—the 9th, 11th, and 13th—onto a major seventh foundation, you create a complex, shimmering harmonic texture that defines the sophisticated sound of modern jazz, high-end funk, and contemporary gospel. While the 13th is enharmonically equivalent to a major 6th, its functional role as an extension placed high above the 7th gives the chord a feeling of expansive verticality and luxurious stability.

    Construction & Definition

    Interval Formula: 1 - 3 - 5 - 7 - 9 - (11) - 13
    • In Cmaj13: The notes include C - E - G - B - D - (F) - A.
    • The "Avoid Note" Dilemma: In professional arranging, the 11th (F) is almost always omitted from major 13th voicings. Because the 11th sits a minor ninth above the major 3rd (E), it creates an acoustically abrasive clash that undermines the chord's serene, open character. By omitting the 11th, you allow the 9th and 13th to bloom in clear, consonant space above the 7th.
    • Acoustic Properties: The maj13 chord is the pinnacle of "consonant complexity." Unlike dominant 13th chords, which carry the inherent tension of a tritone, the major 13th is entirely free of tritones. It sounds simultaneously grounded—thanks to the major 7th core—and uplifted, as if the chord is reaching toward a higher resolution point that never quite needs to arrive.

    Harmonic Usage & Contextual Function

    The maj13 chord is rarely used to create tension; instead, it is used to provide the richest possible musical "home" or a destination of extreme relaxation:

    • Tonic Splendor: The primary use of the maj13 is on the I chord of a major key. In ballads or mid-tempo jazz standards, replacing a standard major 7th with a maj13 provides a lush, "cinematic" finish that makes the tonic feel like an expansive, golden landscape.
    • The Subdominant (IV) Glow: In funk and neo-soul, the IVmaj13 is a legendary sound. Because the 13th (A in a Cmaj7 context) acts as a melodic anchor, these chords are perfect for vamps where the goal is to create a sense of floating, effortless joy.
    • Upper-Structure Brilliance: Pianists often construct maj13 chords using triad-over-bass techniques. For a Cmaj13, playing a Em triad or a Am triad over a C bass note effortlessly delivers the color tones (3, 5, 7, 9, 13) without needing to play all seven notes of the scale.

    Historical Context 

    The functional application of the major 13th has shifted significantly over time, evolving from the dense, multi-instrument textures of the mid-20th century to the minimalist keyboard voicings prevalent today. During the peak of the big band era, composers utilized the full range of orchestral ensembles to voice major 13th structures across entire brass and reed sections, creating a massive, regal wall of sound. In contrast, modern keyboard and guitar practice prioritizes transparency and a "top-down" approach; contemporary players focus on placing the 7th and 13th in the upper registers to achieve a signature "hollow but bright" sparkle, while purposefully leaving the mid-range of the instrument empty to avoid muddiness.

    Ear-Training Cues

    To identify a major 13th chord, listen for the "velvet" quality of a major seventh, but with a distinct, sweet "lift" on top. It feels brighter and more "open-ended" than a basic maj7. If a major 7th chord sounds like a comfortable armchair, the major 13th sounds like that same armchair placed on a terrace with an infinite view—it is perfectly stable, but it feels elevated and magically illuminated by the added 13th.

    F 5
    F 6
    F 6add9
    F M
    F Madd9
    F maj7
    F maj9
    F sus2
    F Major
    F Bebop
    F Bebop major
    F Chromatic
    F Ichikosucho
    F Lydian

    DegreeTriadSeventhExtendedScale
    I
    II
    III
    IV
    V
    VI
    VII

    These modes come from a defined series of intervals! Checkout our blogpost about the major modes!

    M
    maj7
    maj13
    maj9
    Major
    m
    m7
    m9
    m11
    m13
    m69
    Dorian
    m
    m7
    m
    Phrygian
    M
    maj7
    M13♯11
    maj9♯11
    Lydian
    M
    7
    13
    9
    7no5
    Mixolydian
    m
    m7
    m9
    m11
    madd9
    Minor
    m7♭5
    Locrian
    IntervalsemitonesNote
    0F
    4A
    7C
    11E
    14G
    21D
    Perfect unison
    Major third
    Perfect fifth
    Major seventh
    Major ninth
    Major thirteenth