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Chord laboratory · A complete major-seventh stack up to thirteen

Major Thirteenth Chord Generator

Generate a major thirteenth chord with the explicit formula 1 · 3 · 5 · 7 · 9 · 11 · 13. Select a root, read each note, hear the full reference and download its WAV audio.

Cmaj13: C · E · G · B · D · F · A

Formula: 1 · 3 · 5 · 7 · 9 · 11 · 13. Root position, octave 3. Semitone offsets: 0 · 4 · 7 · 11 · 14 · 17 · 21.

Interactive root selection, inversions, playback and WAV download load with JavaScript. The complete formula and listening guide are available below.

major thirteenth chord generator

Build and Listen to Major Thirteenth Chords

A complete major thirteenth reference contains the major triad, major seventh, ninth, eleventh and thirteenth. Cmaj13 is C, E, G, B, D, F and A. The major seventh B distinguishes it from the dominant thirteenth quality.

Compare Cmaj13 with C13 at the same root; only B becomes B-flat. Hear the top A, then the E and F buttons to identify the natural-eleventh tension. Use the arpeggio to hear all seven members without a dense simultaneous attack.

Play the instrument ↑
Chord formula
1 · 3 · 5 · 7 · 9 · 11 · 13
Semitone offsets
0 · 4 · 7 · 11 · 14 · 17 · 21
C reference
C · E · G · B · D · F · A
Sound
Sine reference · A4 = 440 Hz

A complete major-seventh stack up to thirteen

A complete major thirteenth reference contains the major triad, major seventh, ninth, eleventh and thirteenth. Cmaj13 is C, E, G, B, D, F and A. The major seventh B distinguishes it from the dominant thirteenth quality.

Cmaj13 does not require every extension to be sounded in a performance. Our reference includes the natural eleventh explicitly. C6/9 has no seventh or eleventh, so it is a different five-tone collection even though both contain A and D.

  • Degree 1 is 0 semitones above the root in this reference.
  • Degree 3 is 4 semitones above the root in this reference.
  • Degree 5 is 7 semitones above the root in this reference.
  • Degree 7 is 11 semitones above the root in this reference.
  • Degree 9 is 14 semitones above the root in this reference.
  • Degree 11 is 17 semitones above the root in this reference.
  • Degree 13 is 21 semitones above the root in this reference.

A listening test for maj13

Compare Cmaj13 with C13 at the same root; only B becomes B-flat. Hear the top A, then the E and F buttons to identify the natural-eleventh tension. Use the arpeggio to hear all seven members without a dense simultaneous attack.

The Compare dominant thirteenth button retains your chosen root and octave and plays the comparison in root position. Set the current chord to root position for a direct comparison. The note buttons let you isolate the chord member that makes this quality different.

Follow the selected bass through each voicing

This 7-tone reference offers 7 positions. Root position starts with degree 1; First inversion starts with degree 3; Second inversion starts with degree 5; Third inversion starts with degree 7; Fourth inversion starts with degree 9; Fifth inversion starts with degree 11; Sixth inversion starts with degree 13. The bass suffix beneath the chord symbol identifies the actual lowest tone.

Root position preserves compound ninths, elevenths and thirteenths at their original height. The inversion selector first moves the extensions into one octave, sorts by sounding pitch and rotates from the selected degree. These close pitch-class study voicings are different from the complete extended root-position stack; they are not recommended jazz fingerings.

Practical major-thirteenth voicings frequently omit the fifth or natural eleventh and may use a sharp eleventh when specified. This full seven-note ladder is for formula study; it intentionally exposes notes that an arranger might leave out.

Check C, F and A before transposing further

Begin with C and confirm C · E · G · B · D · F · A. Use the F and A example buttons to transpose the same interval collection. Follow the MIDI values if an enharmonic spelling looks unfamiliar: changing the root shifts every sounding note by the same interval.

Use Root octave 2 for a lower reference or octave 5 for a higher one. A root change keeps your selected voicing; the example buttons return to root position. Reset restores C, octave 3 and root position. Stop sound ends the currently active chord or arpeggio.

What playback and the WAV file contain

The displayed notes are synthesized locally using sine waves after your click. The tool does not create a progression, transcribe a song, provide guitar fingering or simulate an acoustic instrument. No camera, microphone, registration or file upload is needed.

Download WAV saves the currently displayed voicing as a 2.4-second mono PCM file at 44.1 kHz with a short fade. It does not export the comparison chord or an arpeggiated performance. If Web Audio is unavailable, the note display and WAV download remain usable.

Theoretical note names preserve each degree and may use double accidentals. Equal-tempered playback gives enharmonic notes the same frequency. This browser tool does not add new extended-chord gestures to the webcam instrument; that instrument has its own triad, inversion and seventh controls.

Answers before you play

Major Thirteenth Chord Questions

What are the notes in C major thirteenth?

C · E · G · B · D · F · A. The formula is 1 · 3 · 5 · 7 · 9 · 11 · 13, with semitone offsets 0, 4, 7, 11, 14, 17, 21. These are the complete notes sounded by this generator in root position.

How does this differ from dominant thirteenth?

Compare Cmaj13 with C13 at the same root; only B becomes B-flat. Hear the top A, then the E and F buttons to identify the natural-eleventh tension. Use the arpeggio to hear all seven members without a dense simultaneous attack.

Are these standard performance voicings?

Practical major-thirteenth voicings frequently omit the fifth or natural eleventh and may use a sharp eleventh when specified. This full seven-note ladder is for formula study; it intentionally exposes notes that an arranger might leave out. The tool states its complete formula and uses close pitch-class rotations for inversion study. Performance omissions and spacing depend on the instrument and musical context.

Can I play and export without a camera?

Yes. Click Play chord or Play arpeggio for local audio. Download WAV saves the displayed chord even if live audio is unavailable. Camera and microphone permission are never requested.

Why does the displayed accidental look unusual?

Cmaj13 does not require every extension to be sounded in a performance. Our reference includes the natural eleventh explicitly. C6/9 has no seventh or eleventh, so it is a different five-tone collection even though both contain A and D. Note letters follow chord degrees; MIDI numbers show the actual pitches at A4 = 440 Hz.