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Harmony

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Harmony is the musical concept of combining different sounds to create new and distinct musical ideas. It involves the relationship between different pitches or tones that coincide with one another. In music theory, researchers identify and categorize harmonic objects like chords, textures, and tonalities. Harmony is understood through two main dimensions. The vertical dimension refers to frequency-space, which involves sounds happening at the same time. The horizontal dimension refers to time-space, which involves how sounds follow one another.

US Navy 080615-N-7656R-003 Navy Band Northwest's Barbershop Quartet win the hearts of the audience with a John Philip Sousa rendition of
US Navy 080615-N-7656R-003 Navy Band Northwest's Barbershop Quartet win the hearts of the audience with a John Philip Sousa rendition of

Musicians build harmony by juxtaposing individual pitches to create chords. They then place these chords together to form larger chord progressions. The study of these structures involves both music theory and psychoacoustics, which is the study of how we perceive sound. A major part of this perception is recognizing consonance. Consonance refers to pitch relationships that often sound pleasant, beautiful, or euphonious. This is often linked to simple mathematical ratios between frequencies. For example, a 1:2 ratio describes an octave relationship, which is a doubling of frequency.

C triad
C triad

In contrast to consonance, musicians also use dissonance. Dissonance involves pitch relationships that can sound unpleasant, discordant, or rough. In the classical common practice period, a dissonant chord often "resolves" to a consonant chord. This resolution means the tension moves toward a more relaxed state. Many musicians add "tensions" to chords to create these effects. A tension is an additional chord member that creates a dissonant interval in relation to the bass. Effective harmonization often requires a careful balance between these tense and relaxed moments.

C triad open position
C triad open position

There are several ways to categorize different types of harmony. Carl Dahlhaus distinguishes between coordinate and subordinate harmony. Subordinate harmony is the hierarchical tonal harmony most people recognize today. Coordinate harmony is an older style called tonalité ancienne from the Medieval and Renaissance periods. In coordinate harmony, sonorities are linked one after another without a goal-directed development. Chords can also be organized by their position. Close harmony uses close position chords, while open harmony uses open position chords.

Major triad
Major triad

Many Western chords are based on tertian harmony. This means the chords are built using the interval of thirds. For example, in a C Major7 chord, the notes are C, E, G, and B. The intervals are a major third (C to E), a minor third (E to G), and a major third (G to B). Other types of harmony include quartal harmony, which uses fourths, and quintal harmony, which uses fifths. Even a unison is a harmonic interval. A unison occurs when two identical notes are produced at the same time. In pop music, this technique is often called doubling.

Bach cello harmony
Bach cello harmony

The history of harmony shows how musical ideas have evolved over centuries. The term itself comes from the Greek word "harmonia," meaning agreement or to fit together. Aristoxenus wrote the Elements of Harmony, which is considered the first European work on the subject. While the Pythagoreans focused on mathematical ratios, Aristoxenus argued that the listener's ear determines harmony. In Western religious music, early works often used parallel perfect intervals. These were performed in cathedrals to use the building's resonant modes. Later, the English style introduced the use of thirds and sixths for a sweeter sound.

Bach cello harmony
Bach cello harmony

Different cultures approach harmony in very different ways. While Western music often emphasizes vertical chords and progressions, other traditions have different foundations. For instance, South Asian art music, such as Hindustani and Carnatic music, often uses a drone. A drone is a held interval, such as a fourth or a fifth, that does not change pitch. In these traditions, pitch simultaneity is rarely the main focus. Instead, they use complex systems like Ragas, which combine melodic and modal elements. This highlights how harmony is not a single universal rule, but a diverse set of practices across the world.

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File:Bach cello harmony.JPG
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File:C triad.svg
C triad.svg
File:C triad open position.svg
C triad open position.svg
File:Major triad.svg
Major triad.svg
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