Interval (music)

Short Answer

In music, an interval is the measured distance in pitch between two notes, expressed by frequency ratio and step count, forming the basis of melody and harmony.

Overview

An interval in music is the measured distance in pitch between two notes. It can be described numerically by the number of scale steps separating the notes, and more fundamentally by the ratio of their frequencies. Intervals are classified as harmonic when the notes sound simultaneously, and as melodic when they occur in succession.

Intervals serve as the building blocks of Western tonal harmony, providing the framework for chords, scales, and melodic motion. Their perceived consonance or dissonance influences tension and release within a piece, shaping the emotional contour of music across genres.

History / Origin

The concept of musical intervals dates back to ancient Greece, where philosophers such as Pythagoras discovered the mathematical relationships between string lengths and pitch. The term “interval” derives from the Latin “intervallum,” meaning a space or gap. Throughout the Middle Ages and the Renaissance, interval theory was codified in treatises on counterpoint and tuning, eventually becoming a central element of Common Practice Period harmony.

How It’s Used

Intervals appear in every musical style, from classical symphonies to jazz improvisation and pop songwriting. They are notated in staff notation by the relative positions of notes, and in lead sheets by the names of the intervals (e.g., perfect fifth, minor third). Instrumentalists use intervallic knowledge for tasks such as transposition, chord construction, and ear training.

Why It Matters

Understanding intervals enables musicians to analyze and create harmonic progressions, craft memorable melodies, and develop aural skills. Famous examples include the opening perfect fourth of Beethoven’s Fifth Symphony, the descending minor third motif in “Amazing Grace,” and the use of tritone substitution in jazz standards.

Common Misconceptions

Intervals are often confused with related concepts, leading to misunderstandings about their function and classification.

  • Misconception: An interval’s size is the same as the number of semitones.
    Correction: While semitone count determines the interval’s size, quality (major, minor, perfect, augmented, diminished) also depends on its position within a scale.
  • Misconception: All fifths sound the same in every tuning system.
    Correction: In just intonation a perfect fifth has a 3:2 ratio, whereas in equal temperament it is slightly tempered, affecting its perceived consonance.

FAQ

How is an interval named?

An interval is named by its numeric size (the count of letter names from the lower to the upper note, inclusive) and its quality (major, minor, perfect, augmented, or diminished). For example, C to E is a third; because it is major in the C major scale, it is called a major third.

What is the difference between harmonic and melodic intervals?

A harmonic interval occurs when two notes are sounded at the same time, such as in a chord. A melodic interval occurs when the notes are played successively, forming part of a melody.

Why do some intervals sound more consonant than others?

Consonance is related to the simplicity of the frequency ratio between two notes. Simple ratios like 2:1 (octave) or 3:2 (perfect fifth) are perceived as stable, while complex ratios like 45:32 (tritone) create a sense of tension.

References

  1. Pythagoras and the Music of the Spheres, J. L. Smith, 1998.
  2. The Complete Musician: An Integrated Approach to Theory, S. Laitz, 2016.
  3. Tuning, Timbre, Spectrum, Scale, 2nd ed., J. Sethares, 2005.
  4. Harmony and Voice Leading, E. Aldwell & C. Schachter, 2011.
  5. Ear Training for the Contemporary Musician, R. L. Lacy, 2020.

Related Terms

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