Negative Harmony Shortcut: Major-Minor Triad Translation Guide

Intervals are measured by counting semitones between notes. A unison has 0 semitones, minor second has 1, major second has 2, minor third has 3, major third has 4, perfect fourth has 5, perfect fifth has 7, minor sixth has 8, major sixth has 9, minor seventh has 10, major seventh has 11, and perfect octave has 12 semitones. This measurement system allows precise identification of interval qualities regardless of pitch location.

The chromatic scale consists of 12 notes: Dó, Dó sustenido, Ré, Ré sustenido, Mi, Fá, Fá sustenido, Sol, Sol sustenido, Lá, Lá sustenido, Si, and Dó. The interval between consecutive notes is a semitone. A semitone is the smallest interval in Western music. Between Mi and Fá, and between Si and Dó, there is no sharp or flat in between, making these semitones unique. All other notes have a sharp or flat between them.

The chromatic scale consists of 12 equal subdivisions between two C's. A more familiar scale is the diatonic scale, which is an interesting collection of notes that are two steps apart and one step apart. When you start the scale on different notes (like C versus D), the order of intervals changes, which changes the characteristic of that order of notes. This demonstrates how the same notes can create different musical feelings depending on their arrangement.

The chromatic scale consists of 12 notes arranged in a specific pattern of intervals. Each cell in a 12-cell grid represents one semitone (half step). The notes are: Do (C), Re (D), Mi (E), Fa (F), Sol (G), La (A), Si (B), Do (C), Re (D), Mi (E), Fa (F), Sol (G). The intervals between notes follow a specific pattern: Mi to Fa and Si to Do are semitones (half steps), while all other adjacent notes are whole tones (whole steps). This pattern of semitones and whole tones forms the foundation of Western music theory and is called the major scale when starting from Do.

The chromatic scale includes all 12 notes of the musical system, with each adjacent note separated by a semitone (half tone). Starting from do, the chromatic scale progresses as: do, do# (re b), re, re#, mi, fa, fa#, sol, sol#, la, la#, si, do. Each step represents a semitone distance, and this scale forms the foundation for understanding all interval calculations.

To find the tonal center (root note) from a key signature: For sharps, identify the last sharp and move up one semitone (except F#, which is F Major). For flats, identify the last flat and move down one semitone (except Bb, which is Bb Major). Major scales with sharps follow the pattern: F# (1 sharp), C# (2 sharps), G# (3 sharps), D# (4 sharps), A# (5 sharps), E# (6 sharps), B# (7 sharps). Major scales with flats follow: Bb (1 flat), Eb (2 flats), Ab (3 flats), Db (4 flats), Gb (5 flats), Cb (6 flats), Fb (7 flats).

Key signatures (armadura de clave) are built by gradually adding accidentals to create major scales, with sharps always added to the leading tone (7th degree) and flats always added to the 4th degree; the order of sharps is F-C-G-D-A-E-B and the order of flats is B-E-A-D-G-C-F, and each key signature corresponds to a specific tonal center where the last accidental indicates the leading tone for sharps or the 4th degree for flats, with the same key signature applying to both major and relative minor keys.

This comprehensive lesson covers key signatures and major scales. Key signatures appear first on the stave, followed by time signatures. Sharps and flats are accidentals that modify notes. The fundamental pattern for all major scales is tone-tone-semitone-tone-tone-tone-semitone. The sharp family of keys follows a predictable pattern: 1 sharp = G major (F#), 2 sharps = D major (F#, C#), 3 sharps = A major (F#, C#, G#), 4 sharps = E major (F#, C#, G#, D#), 5 sharps = B major (F#, C#, G#, D#, A#), 6 sharps = F# major (F#, C#, G#, D#, A#, E#), 7 sharps = C# major (F#, C#, G#, D#, A#, E#, B#). The flat family follows a parallel pattern: 1 flat = F major (Bb), 2 flats = Bb major (Bb, Eb), 3 flats = Eb major (Bb, Eb, Ab), 4 flats = Ab major (Bb, Eb, Ab, Db), 5 flats = Db major (Bb, Eb, Ab, Db, Gb), 6 flats = Gb major (Bb, Eb, Ab, Db, Gb, Cb), 7 flats = Cb major (Bb, Eb, Ab, Db, Gb, Cb, Fb). To construct a major scale on the stave: 1) Draw the stave with the appropriate key signature, 2) Locate the starting note (tonic), 3) Apply the tone-semitone pattern by placing notes on lines and spaces in sequence, 4) Continue until you reach the octave. A tonic triad consists of three notes: the root, the third, and the fifth.

The root or tonic—the first note of a scale—serves as the tonal center, creating a sense of home and resolution when music ends on this note. Chords are numbered based on their position within the scale, with chord one (the tonic chord) always being major in a major key. This chord progression system provides structural completeness. Additionally, every major scale possesses a relative minor scale sharing identical notes but beginning at a different position, creating two distinct tonal centers from the same set of pitches. For instance, C major and A minor share all white keys yet establish different home notes, demonstrating how the same notes can produce fundamentally different musical effects depending on which note functions as the tonal center.

Every key has a center note called the tonic. For example, C major has C as its tonic, D major has D as its tonic, and G-sharp major has G-sharp as its tonic. There are 12 major keys corresponding to the 12 distinct notes. Songs are written following a specific key or note library and try to keep using the same notes for harmony.

Negative harmony is a theory proposed by Ernst Levy that every chord in any key has a polar opposite chord within that key center. This is achieved by rotating every single note of a chord around the axis of the key center. For example, in the key of C, the axis is between C and G. A G7 chord (G-B-D-F) reflects to become a D half diminished chord (D-F-Ab-C), which is equivalent to F minor 6. This creates a 'gravity' equivalent to the original chord but with inverted voice leading, converting perfect cadences to plagal cadences.

This section traces the theoretical development from harmonic dualism to modern negative harmony. Harmonic monism holds that only the major triad is real, while harmonic dualism argues major and minor triads are equally valid reflections of each other, derived from the overtone and undertone series respectively. Ernst Levy introduced 'telluric gravity' to solve the problem that undertone series starting from A produces a D minor chord rather than an A chord. He proposed viewing chords from bottom-up (gravity) versus top-down (absolute conception). Modern negative harmony then extends this by reflecting across the key's axis (midpoint between root and fifth) rather than individual chord axes, creating a systematic method for finding chords with equivalent harmonic function.

Negative harmony is a musical concept where notes are reflected or mirrored in a specific pattern, transforming major chords into minor chords and vice versa; for example, in C major, the notes reflect as follows: C becomes G, C# becomes F#, D becomes Eb, F becomes D, E becomes F#, A becomes Ab, and B becomes Bb, which when applied to triads transforms C major (C-E-G) into C minor (C-Eb-G), and when applied to seventh chords like G7 (G-B-D-F), it becomes a diminished seventh chord (C-Ab-F-Eb).

Negative Harmony is a musical transformation technique where notes and chords are reflected around an axis positioned between the minor and major thirds of a scale, creating an emotional opposite while preserving the harmonic gravity toward the tonic; this technique, originating from Ernst Levy's 2017 theory and popularized by Jacob Collier, transforms major chords to minor chords, dominant progressions to plagal cadences, and maintains the same tension-release patterns as the original music.