The distance spanning thirteen note names, with 20 semitones between them.
Chords whose formulas include this interval from the root note.
Scales whose formulas include this interval.
Intervals with a comparable quality and character.
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The minor thirteenth (m13) spans 20 semitones. It is the compound form of a minor sixth and provides dark, expressive extension color.
m13 is built as an octave plus minor sixth, for example C-Ab above the octave. It can be viewed as a high tension color in extended voicings. Spelling keeps clear thirteenth-function meaning.
Harmonically, m13 appears in minor 13 colors, altered dominant settings, and cinematic sonorities. Melodically, it creates broad and melancholic leaps. It is useful for warmth mixed with tension.
Practice m13 against m6 to connect simple and compound hearing. Test voicings with 9, 11, and 13 balance to avoid muddy spacing. This improves command of complex extension palettes.