Chords » B Minor Added 9th (2nd inversion)

Symbols:Bmadd9/F#, Bminadd9/F#, Bmadd9/F#
Scale Degree Formula:1-5-11-♭13
Interval Stack:P5 + m7 + m3
Notes:F#, C#, B, D
Hear this chord:▸ Guitar
Inversion of:B Minor Added 9th

Construction

This chord is an inversion of the B Minor Added 9th 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 (B, D, F#, C#), then count 2 to the right to find the lowest note of this chord (F#). 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: F#, C#, B, D.
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 F# 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 1-5-11-♭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 (F#), then move our first interval (P5), which brings us to our second note in the chord (C#). 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:
F#1G♭2G#2A♭3Bb3B4C♭5C#5D#5D#6E♭7F7F#8G♭9G#9A♭10Bb10B11C#11C#12D♭13P5m7m3

Frequencies and Harmonics

On acoustic instruments (such as guitar or piano), a single played note will result in more than a single sounded frequency. There's a lot of complexity here, but at its simplest, the fundamental (eg: A4 = 440Hz) will sound, as well as a number of harmonies, which are multiples of that frequency.
The graph below presents a simplied representation of the sounds and relative amplitudes that are sounded when this chord is played. The exact instrument, and even how the chord is played, can vary things dramatically, but this can give you an understanding of certain sounds you may hear when playing a chord.
Each fundamental and its harmonies are given a different color. The height of the bar represents the amplitude (volume) of the frequency, and the position (left-to-right) represents the frequency of the sound (further to the right means higher). Finally, the grid-lines represent notes in 12-tone-equal-temperment (notes used in traditional western music).
frequencyamplitudeC2C3C4C5C6C7
From these frequencies, we can determine harmonics that sound when we play the notes of a chord. These harmonies are listed below, along with the frequencies contributing to each. It's worth noting that these frequencies won't all be the same for higher harmonies, and some harmonies will be flat, sharp (or both).

Primary chord notes

These 'harmonics' are the primary notes of the chord.
B
Frequencies (HZ):247, 494, 970, 988, ...
Intonation:Mixed — Sometimes flat, sharp, or in-tune. Cents off range from -31 to 0.
C#
Frequencies (HZ):139, 277, 277, 554, 555, 1109, 1110, ...
Intonation:In tune
D
Frequencies (HZ):294, 587, 1175, 1202, ...
Intonation:Mixed — Sometimes flat, sharp, or in-tune. Cents off range from 0 to 41.
F#
Frequencies (HZ):92, 185, 370, 740, 741, 1468, 1480, 1482, ...
Intonation:Mixed — Sometimes flat, sharp, or in-tune. Cents off range from -14 to 2.

Significant harmonics

Harmonics with a prominent presence in the chord.
G#
Frequencies (HZ):416, 832, 832, ...
Intonation:Mixed — Sometimes flat, sharp, or in-tune. Cents off range from 2 to 4.

Lesser harmonics

Harmonics that are less prominent, but present nonetheless.
A
Frequencies (HZ):881, ...
Intonation:In tune
Bb
Frequencies (HZ):462, 925, ...
Intonation:Flat — the lowest frequency sounded for this note is 14 cents flat.
D#
Frequencies (HZ):1235, 1247, ...
Intonation:Mixed — Sometimes flat, sharp, or in-tune. Cents off range from -14 to 4.
E
Frequencies (HZ):647, 1295, ...
Intonation:Flat — the lowest frequency sounded for this note is 31 cents flat.
F
Frequencies (HZ):693, 1386, 1387, ...
Intonation:Flat — the lowest frequency sounded for this note is 14 cents flat.

Similar Chords

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

Chord TypeChords
7th Suspended Four Flat 9thC#7sus4b9
7th Suspended FourthF#7sus, C#7sus
7th Suspended SecondE7sus2, B7sus2
Added 9thBadd9
Augmented Major 7thD+Maj7
Half-Diminished 7thG#m7(b5)
Major 2ndB2
Major 6thDM6
Major 7thGM7, DM7
Major 7th Flat FifthGMaj7b5, DMaj7b5
Major Added 11thF#add11
MinorBm
Minor 2ndBm2
Minor 6thBm6
Minor 7thBm7
Minor 9thBm9
Minor Added 11thF#madd11, Bmadd11
Minor Added 9thBmadd9
Minor Major 7thBmM7
Minor Major 9thBmMaj9
Minor Six-NineBm6/9
Suspended FourthF#sus
Suspended SecondBsus2

Associated Scales

This chord can be found in the following scales.

ScaleRoots
BluesG#
DorianE, B
Dorian b5G#
Harmonic MajorF#
Harmonic MinorB, F#
Ionian #5D, A
LocrianC#, G#
Locrian bb7F
Locrian ♮6C#, G#
LydianD, G
Lydian #9D, G
Lydian Augmented #2D
Lydian b3B
MajorD, A
MinorB, F#
MixolydianE, A
Mixolydian b2C#
PhrygianC#, F#
Phrygian DominantC#, F#
Phrygian b4Bb
Super-Locrian bb7F, Bb
Ukrainian DorianE, B

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