Chord Extension Calculator

Chord Extension Calculator

Build 7th, 9th, 11th, 13th, altered, added-tone, and rootless chord voicings from a root note, chord family, extension choice, and playable register.

🎹 Chord Presets

Preset use: Load a common jazz, pop, gospel, funk, film, or guitar voicing, then adjust the root, upper extension, alteration, register, and spread.

🎼 Chord Inputs
Enharmonic note names are shown as practical spellings.
Sets the 3rd, 5th, 6th, and 7th foundation.
13th chords include 9 and 11 unless omitted by voicing.
Altered options replace or add common dominant colors.
Changes omissions, octave spread, and playability score.
The 5th is often optional unless altered or diminished.
Middle C is C4. Voicing notes are built above this area.
12 semitones is one octave; 19 is an octave plus a fifth.
Chord Symbol
G13
dominant extension spelling
Chord Tones
7 tones
root, guide tones, and colors
Voicing Span
18 st
within target hand span
Color Density
Rich
extension and alteration weight

Calculation Breakdown

📊 Chord Spec Grid
3 & b7
Guide tone structure
9 11 13
Upper extension set
5 kept
Omission choice
Good
Playable fit status
📐 Extension Interval Reference
ExtensionSimple IntervalSemitones Above RootCommon Function
9thCompound 2nd14 semitonesSmooth color above triads and seventh chords
Flat 9Lowered compound 2nd13 semitonesStrong dominant pull, especially into minor keys
Sharp 9Raised compound 2nd15 semitonesBlues and altered dominant bite with major 3rd
11thCompound 4th17 semitonesSuspended or modal color; can clash with major 3rd
Sharp 11Raised compound 4th18 semitonesLydian major or dominant color without the natural 11 clash
13thCompound 6th21 semitonesOpen jazz color, often voiced above 3rd and 7th
Flat 13Lowered compound 6th20 semitonesAltered dominant color with darker resolution pressure
🔎 Chord Family Comparison
FamilyCore FormulaTypical ExtensionsBest Omission
Major 71, 3, 5, 79, sharp 11, 13Omit 5th when adding sharp 11 and 13
Minor 71, b3, 5, b79, 11, 13Keep 11 for modal color; 5th can go
Dominant 71, 3, 5, b7b9, #9, #11, 13, b13Omit 5th before omitting 3rd or b7
Minor major 71, b3, 5, 79, 11, 13Keep 7th audible for the signature color
Half-diminished1, b3, b5, b79, 11, b13Do not omit b5; it defines the family
Diminished 71, b3, b5, bb79, 11, b13Keep symmetry clear before adding colors
🎵 Voicing Style Table
VoicingMain TreatmentStrong ForSpan Tendency
Closed positionStacks tones as close as possibleChoir pads, compact piano blocks, horn section checksSmallest span
Open positionRaises alternating upper tonesBallads, film harmony, spacious keyboard partsWide span
Drop 2Drops the second-highest voice one octaveGuitar sets, horn soli, jazz keyboard colorMedium-wide span
Rootless keyboardRemoves root, keeps 3rd and 7thJazz comping with bass, left-hand voicingsMedium span
Shell plus colorPrioritizes root, 3rd, 7th, top colorArranging sketches and quick lead-sheet choicesControlled span
Guitar friendlyLimits note count and spreadPlayable grips and chord-melody reductionsTargeted span
📋 Common Extension Recipes
RecipeFormulaTypical Notes In CPractical Use
Cmaj91, 3, 5, 7, 9C E G B DClean major color for pop, jazz, and film cues
Cm111, b3, 5, b7, 9, 11C Eb G Bb D FMinor modal sound with a soft suspended top
C131, 3, 5, b7, 9, 11, 13C E G Bb D F ADense dominant color; often omit 5th or 11th
C7b91, 3, 5, b7, b9C E G Bb DbClassic V7 tension resolving down a fifth
C7#111, 3, 5, b7, #11C E G Bb F#Lydian dominant color for jazz and fusion
C6/91, 3, 5, 6, 9C E G A DStable major color without a leading-tone 7th
Guide-tone tip: For extended seventh chords, the 3rd and 7th usually identify the harmony more strongly than the root. Keep those clear before adding extra color tones.
Density tip: When the voicing feels crowded, omit the perfect 5th first. Preserve altered fifths, diminished fifths, 3rds, 7ths, and the top extension that creates the sound.

Chord extensions involve adding additional note to a basic chord triad to create chords with additional color to the basic triad chord. A basic chord consists of a root, third, and fifth note. However, chord extensions go beyond the fifth note to add notes such as the ninth, eleventh, or thirteenth note to a chord.

Adding these notes make the chord more complex. However, too many chord extension can make a chord sound muddy. Therefore, before adding chord extensions, a musician must decide how to add these extensions to keep the chord clear to the listener.

How to Use Chord Extensions

Several decisions must be made before playing chord extensions. The musician must decide on the chord family that they will use. Additionally, they must decide the number of chord extensions that they want to use.

Furthermore, the musician must decide if they will alter the chord extensions and how they will voice those chord extensions. The third and seventh notes is known as the guide tone for a chord. These are the most important note for a chord because they determine where the chord is going.

The chord extensions simply provide color to the chord; however, the extensions provide color only if the guide tones remains clear and strong in the chord. A chord extension calculator is a helpful tool for musicians to manage the chord extensions in a chord. A chord extension calculator takes the variables that a musician use, such as the root of the chord, the quality of the chord, the chord extensions to be used, the alterations to the chord, the voicing of the chord, and the treatment of the fifth note in the chord.

Based off these variables, the chord extension calculator will show the musician the resulting chord notes. Using a chord extension calculator, a musician can see if the chord notes will work for their instrument. They can see the span of the chord and the density of the chord notes.

The reference tables will allow a musician to understand the intervals of the chord extensions, such as why a sharp eleventh note is a semitone above the natural fourth note. Many musicians will find that omitting the fifth note in a chord will allow for additional chord extensions to be played in the chord. Because the fifth note is less distinctive than the other notes in a chord, it can be omitted to allow for more room for chord extensions such as the ninth, eleventh, and thirteenth notes.

Additionally, another way to manage chord extensions is to use rootless voicing. In a rootless voicing, the musician omits the root of the chord so that a bass player can play that root note. This allows for chord extensions to be played while having enough space in the chord for each note to ring clearly.

Depending on the type of music that is to be played, there will be different density of chord extensions that will work best. Gospel and soul music will use many chord extensions to create the thick sound that is required for these music genre. Jazz music will use chord extensions with more air space between each extension so that the chords has breathing room for the instrumentation to stand out from each other.

Guitar players may use fewer chord extensions because it is difficult for them to play six or more notes at once. The chord extension calculator will allow musicians to accommodate for these differences with the chord extension variables and the chord span that will result. A common mistake that many musicians make when playing chord extensions is that they treat all chord extensions as being of the same importance.

However, the top note of a chord is the most important for a chord’s identity. Therefore, the musician should place the most interesting of the chord extensions on the top note of a chord to give it a sense of identity. Placing the chord extension in the middle of a chord can make the identity of that chord not as clear to the listener.

The chord extension calculator can be used to calculate and test a few different chord extensions to determine which should be the highest note of the chord. Additionally, the chord extensions that are used will also dictate the chord’s timing. Using many chord extensions in a chord can work for long time span of music.

However, it can look clumsily for music that requires chords to change quickly. For fast timings, shell voicings can work better. Shell voicings contain only the root, third, seventh, and one chord extension.

These voicings work better for faster musical rhythms than chords with many extensions. The chord extension calculator can help a musician by demonstrating the difference in the number of notes that will be played in a chord. However, the musician must make the decision on which chord will work best for the specific musical phrase that is to be played.

The purpose of using chord extensions is not simply to play more notes in a chord. No, the purpose is to ensure that the correct notes are played in the correct register for the chord. The goal is to create a chord that contains the chord extensions to provide color to the chord while ensuring that the third and the seventh notes are still audible.

If the third and seventh notes are still audible, the chord extensions can be used to provide color to the chord without fighting for the listener’s attention. The chord extension calculator will calculate and demonstrate the chord extensions that will be played. However, a musician must use their ears to fine-tune the chord and ensure that it is correctly balance.

Chord Extension Calculator

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