Chords » A Minor 7th Flat Thirteenth (2nd inversion)

Symbols:Am7b13/E
Scale Degree Formula:1-♭3-♭9-11-♭13
Interval Stack:m3 + m7 + M3 + m3
Notes:E, G, F, A, C
Hear this chord:▸ Guitar

Construction

This chord is an inversion of the A Minor 7th Flat Thirteenth chord, so construction is a little different from standard chords. An inversion is the same as the base version of a chord, though its notes are played in a different order. For this inversion, you'll start with the notes of the base chord (A, C, E, G, F), then count 2 to the right to find the lowest note of this chord (E). The rest of the notes to the right of this continue this chord, and then we 'wrap around' to the beginning, until we have reached our new first note. After all of this, we end up with the final notes for this inversion: E, G, F, A, C.
You can also use the more traditional methods described below, though you'll need to start from the lowest note as described above to find your starting point. The scale degree and interval stack listed above are from the perspective of this interval, so they'll produce the same notes as the base chord, but in the order required by this inversion.
Using the scale degree formula, we first start with the E major scale, and number each note in the scale starting from 1 - these are the scale degrees. Next, we use the scale degree formula, in this case 1-♭3-♭9-11-♭13, to select notes from our enumerated scale. When a chord requires notes that are not in the scale, this is indicated with a flat (♭) or a sharp (#) along with the scale degree; a ♭3, for instance, would be one half-step down from the 3rd scale degree.
Alternatively, we can use the interval stack to construct our chord. With this approach, we first start with the lowest note of the chord (E), then move our first interval (m3), which brings us to our second note in the chord (G). We repeatedly apply each of the remaining intervals in the stack to get the full list of notes for our chord.
The diagram below shows how both the scale degree formula and interval stack methods result in the same selection of notes:
E1F♭2F#2G♭3G#3A4Bb♭5B5C#5C#6D♭7D#7E8F♭9F#9G♭10G#10A11Bb#11B12C♭13m3m7M3m3

Similar Chords

The following chords are similar to this chord and may be a suitable replacement in certain scenarios.

Chord TypeChords
Added 9thFadd9
Dominant 6thC7(6)
Dominant 7th Flat ThirteenthA7b13
Dominant 7th Sharp 9thA7#9
Dominant 7th Sharp Five Sharp 9thA7#5#9
Dominant 9thF9
Major 2ndF2
Major 6thCM6
Major 7thFM7
Major 7th Flat ThirteenthFMaj7b13
Major 9thFM9
Major 9th Flat FifthFMaj9b5
Major Added 11thCadd11
Major EleventhFM11
Minor 7thAm7
Minor 7th Flat ThirteenthAm7b13
Minor 9thDm9, Am9
Minor EleventhDm11
Minor Major 9thFmMaj9
Six-NineF6/9, C6/9

Associated Scales

This chord can be found in the following scales.

ScaleRoots
DorianD, G
Dorian b5G
Harmonic MajorF
LocrianB, E
Locrian bb7E
LydianBb, F
Lydian Augmented #2C#
Lydian b3Bb
MajorC, F
MinorD, A
MixolydianC, G
Mixolydian b2C
PhrygianA, E
Phrygian b4A

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About the Algorithms
Read about the algorithms and methods used in constructing chord details.