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An illustratively surprising result of this higher harmonic tuning is that, since a just [[4/3]] does not have a power of 2 in the denominator and thus does not exist in the (octave-reduced) harmonic series, it will not be used in this tuning. Instead, when the inverse of the [[3/2]] ratio is needed, one may use [[43/32]] (511.517706¢) or [[171/128]] (501.423018¢). | An illustratively surprising result of this higher harmonic tuning is that, since a just [[4/3]] does not have a power of 2 in the denominator and thus does not exist in the (octave-reduced) harmonic series, it will not be used in this tuning. Instead, when the inverse of the [[3/2]] ratio is needed, one may use [[43/32]] (511.517706¢) or [[171/128]] (501.423018¢). | ||
Due to having only one prime factor (2), yet also being a higher octave of a prime mode (mode 2), it is a very strong tuning for [[primodality]], providing a large gamut of intervals without compromising their clear prime identity. | |||
== Reading == | == Reading == | ||
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Composers John Eaton, Rovner, Thoegersen, Golden, and others have also worked with 8<sup>th</sup> Octave Overtone Tuning. | Composers John Eaton, Rovner, Thoegersen, Golden, and others have also worked with 8<sup>th</sup> Octave Overtone Tuning. | ||
[[Category:Harmonic series]] | [[Category:Harmonic series]] | ||
[[Category:Primodality]] | |||
[[Category:Listen]] | [[Category:Listen]] | ||