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Music Theory - Intervals

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Musical Intervals

An interval is the distance in pitch between two notes.

Sharps and flats

  • A sharp (♯) raises a note by one semitone.
  • A flat (♭) lowers a note by one semitone.
  • A natural (♮) cancels a sharp or flat.

Some notes share the same pitch. These are called enharmonic (for example, C♯ and D♭).

Steps

  • A half step is the smallest distance between notes.
  • A whole step is two half steps.

Scale degrees

Notes in a scale are numbered from 1 to 8:

  1. Tonic
  2. Supertonic
  3. Mediant
  4. Subdominant
  5. Dominant
  6. Submediant
  7. Leading tone
  8. Tonic (octave)

Interval names

Intervals are named by counting scale degrees.

For example:

  • C to D = a second
  • C to E = a third
  • C to F = a fourth

Major, minor, and perfect intervals

  • Seconds, thirds, sixths, and sevenths can be major or minor.
  • Fourths, fifths, and octaves are perfect intervals.

Augmented and diminished

  • Raising a perfect or major interval by a semitone makes it augmented.
  • Lowering a perfect or minor interval by a semitone makes it diminished.

Compound intervals

Any interval larger than an octave is a compound interval (for example, a ninth = an octave plus a second).

Source

  • The Complete Idiot's Guide To Music Theory by Michael Miller