Stretched and compressed tuning: Difference between revisions
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{{Wikipedia|Stretched tuning}} | {{Wikipedia|Stretched tuning}} | ||
In stretched tuning, two notes an [[equivalence]] apart, whose fundamental frequencies theoretically have an exact ratio, are tuned slightly farther apart (a stretched [[equivalence]]). | |||
== | In compressed tuning, also known as narrowed tuning, two notes an [[equivalence]] apart, whose fundamental frequencies theoretically have an exact ratio, are tuned slightly closer together (a compressed or narrowed [[equivalence]]). | ||
== In 12edo == | |||
Stretched tuning is used even outside of a xenharmonic context. Most acoustic pianos have [[overtones]] which do not exactly line up with the [[harmonic series]], so stretched [[octaves]] are usually used to compensate. | |||
== In xenharmonic music == | |||
Within a xenharmonic context, stretched or compressed tuning may be used to reduce the [[harmonic entropy]] of a scale without sacrificing its melodic shape. | |||
Examples include: | |||
* [[23edo and octave stretching]] | * [[23edo and octave stretching]] | ||
* [[5- to 8-tone scales in zeta stretched 15edo]] | |||
* [[Musical cells]] | * [[Musical cells]] | ||
* [[The Riemann zeta function and tuning#Optimal octave stretch|The Riemann zeta function and tuning#Optimal octave stretch]] | |||
[[Category:Tuning]] | [[Category:Tuning]] | ||