User:Eufalesio/Harmonic Segments Along Fifths: Difference between revisions
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Harmonic Segments Along Fifths (HSA5) are a type of [[Periodic scale|periodic scales]] built by taking a specific [[harmonic series]] segment that ends in 4/3 and repeating times 3/2. They are a unique mix of [[tetrachord]]<nowiki/>s and [[overtone scales]] that exhibit [[omnitetrachordality]] to some extent, and a type of [[NEJI]] (Near-equivalent Just Intonation). | Harmonic Segments Along Fifths (HSA5) are a type of [[Periodic scale|periodic scales]] built by taking a specific [[harmonic series]] segment that ends in 4/3 and repeating times 3/2. They are a unique mix of [[tetrachord]]<nowiki/>s and [[overtone scales]] that exhibit [[omnitetrachordality]] to some extent, and a type of [[NEJI]] (Near-equivalent Just Intonation). | ||
== Definitions == | == Definitions == | ||
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== Properties == | == Properties == | ||
Except the first, the harmonic segments conforming HSA5s up to the 13th are [[strictly proper]] [[constant structure]]<nowiki/>s, so the | Except the first, the harmonic segments conforming HSA5s up to the 13th are [[strictly proper]] [[constant structure]]<nowiki/>s, so the | ||
HSA5s beyond the 3rd will have noticeable gaps between 4/3 and 3/2. An HSA5 is said to need extensions if the smallest step of the harmonic series segment is smaller than 9/8^2/3. | HSA5s beyond the 3rd will have noticeable gaps between 4/3 and 3/2. An HSA5 is said to need extensions if the smallest step of the harmonic series segment is smaller than 9/8^2/3. | ||