⛓ Harmonic series

= multiple harmonics playing at once

Parts

  • “fundamental”: first harmonic
  • “overtones”: higher frequency harmonics (multiples of 2)

Relations

  • “Two notes are in a ratio
    • = their overtone series-es make two series-es of vertical tones having that ratio

Types

  • step: interval of a generic second (= 1)
    • → adjacent
  • skip: interval of a generic third or more (= > 1)

Nonharmonic tones 1

Neighbor tone (NT)
  • A tone that’s approached by step and then returns by step to the original tone
  • Example: C → C# → C

Passing tone (PT)

  • A tone that’s approached by step and then continues by step into the same direction
  • Example: C → C# → D
Anticipation (Ant)
  • A tone that’s approached by step and then remains the same (= note of second chord played early)
  • Example: C → C# → C#
Escape tone (ET)
  • A tone that’s approached by step and then skips into the opposite direction
  • Example: C → C# → B
Appoggiatura (App)
  • A tone that’s approached by skip and then steps onto the opposite direction
  • Example: C → D → C#
Suspension (Sus)
  • Keeps a note the same and then steps downward
Retardation (Ret)
  • Keeps a note the same and then steps upwards
Changing tone (CT)
  • Two nonharmonic tones in succession
    1. nonharmonic by ET in opposite direction of second nonharmonic
    1. nonharmonic resolved by step

Footnotes

  1. Nonharmonic tones