Hyperpent and hypopent: Difference between revisions

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'''Hyperpent''' or hyperpental edo is an [[equal division of the octave]] which has a [[3/2|just fifth]] that is less than a [[81/80|syntonic comma]] sharp. It is juxtaposed by [[hypopent]] or hypopental edo tuning systems.

'''Hyperpent''' or hyperpental edo is an [[equal division of the octave]] which has a [[3/2|just fifth]] that is less than a [[81/80|syntonic comma]] sharp. It is juxtaposed by '''hypopent''' or hypopental edo tuning systems, which have a [[3/2|just fifth]] that is less than a [[81/80|syntonic comma]] flat.

== Background ==

"Hyper-" is the Greek prefix for high or above and "pent" is Greek for five. The term is loosely associated with "[[Superpyth|superpythagorean]]," but specifically refers to equal division of the octave that result in any fifth tempered sharp, while "hypo-" is the Greek prefix for low or below and "pent" is Greek for five. The term is loosely associated with "[[meantone]]," but specifically refers to equal division of the octave that result in any fifth tempered flat.

"Hyper-" is the Greek prefix for high or above and "pent" is Greek for five. The term is loosely associated with "[[Superpyth|superpythagorean]]," but specifically refers to equal division of the octave that result in any fifth tempered sharp.

Large edo's are generally "amphipent," meaning both hyperpent and hypopent, because they contain multiple representations of the fifth that may be sharp and flat. Some edo's may contain no intervals in the span of a just fifth plus or minus a [[syntonic comma]], and thus are neither hyperpent nor hypopent, and are refered to as "anpent."

Large edo's are generally both hyperpent and hypopent, because they contain multiple representations of the fifth that may be sharp and flat. Some edo's may contain no intervals in the span of a just fifth plus or minus a [[syntonic comma]], and thus are neither hyperpent nor hypopent.

== Partial List ==

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-'''Hyperpent''' or hyperpental edo is an [[equal division of the octave]] which has a [[3/2|just fifth]] that is less than a [[81/80|syntonic comma]] sharp.  It is juxtaposed by [[hypopent]] or hypopental edo tuning systems.
+'''Hyperpent''' or hyperpental edo is an [[equal division of the octave]] which has a [[3/2|just fifth]] that is less than a [[81/80|syntonic comma]] sharp.  It is juxtaposed by '''hypopent''' or hypopental edo tuning systems, which have a [[3/2|just fifth]] that is less than a [[81/80|syntonic comma]] flat.
 == Background ==
+"Hyper-" is the Greek prefix for high or above and "pent" is Greek for five.  The term is loosely associated with "[[Superpyth|superpythagorean]]," but specifically refers to equal division of the octave that result in any fifth tempered sharp, while "hypo-" is the Greek prefix for low or below and "pent" is Greek for five. The term is loosely associated with "[[meantone]]," but specifically refers to equal division of the octave that result in any fifth tempered flat.
-"Hyper-" is the Greek prefix for high or above and "pent" is Greek for five.  The term is loosely associated with "[[Superpyth|superpythagorean]]," but specifically refers to equal division of the octave that result in any fifth tempered sharp.
+Large edo's are generally "amphipent," meaning both hyperpent and hypopent, because they contain multiple representations of the fifth that may be sharp and flat. Some edo's may contain no intervals in the span of a just fifth plus or minus a [[syntonic comma]], and thus are neither hyperpent nor hypopent, and are refered to as "anpent."
-Large edo's are generally both hyperpent and hypopent, because they contain multiple representations of the fifth that may be sharp and flat.  Some edo's may contain no intervals in the span of a just fifth plus or minus a [[syntonic comma]], and thus are neither hyperpent nor hypopent.
 == Partial List ==