Interval of equivalence: Difference between revisions

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This equivalence is so strong that in most musical notation systems, notes separated by octaves share the same name.
This equivalence is so strong that in most musical notation systems, notes separated by octaves share the same name.
For the same reason, most [[scale]]s repeat at the octave.
For the same reason, most [[scale]]s repeat at the octave.
The physical basis for octave equivalence is believed to be caused by the [[harmonic series|harmonic structure]] of periodic sounds.
When a tone with frequency ''f'' is played, it typically produces [[overtone]]s at 2''f'', 3''f'', 4''f'', etc.
The first overtone (2''f'') is an octave above the fundamental, creating a consistent pattern in many natural sounds.
This harmonic relationship may contribute to the perceptual significance of the octave in human hearing.


The perception of octave equivalence appears to have both biological and cultural components.
The perception of octave equivalence appears to have both biological and cultural components.