4L 3s: Difference between revisions
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== Tuning ranges == | == Tuning ranges == | ||
=== Parasoft === | === Parasoft === | ||
[[Parasoft]] smitonic tunings | [[Parasoft]] smitonic tunings have step ratios between 4/3 and 3/2, which implies a generator sharper than 5\18 = 333.3¢ and flatter than 7\25 = 336.0¢. | ||
Parasoft smitonic can be considered "meantone smitonic". This is because these tunings share the following features with [[meantone]] diatonic tunings: | Parasoft smitonic can be considered "meantone smitonic". This is because these tunings share the following features with [[meantone]] diatonic tunings: | ||
* The large step is a "meantone", somewhere between near-10/9 (as in [[32edo]]) and near-9/8 (as in [[18edo]]). | * The large step is a "meantone", somewhere between near-10/9 (as in [[32edo]]) and near-9/8 (as in [[18edo]]). | ||
* The major mosthird (made of two large steps) is a roughly [[meantone]]-sized major third, thus is a stand-in for the classical diatonic major third. | * The major mosthird (made of two large steps) is a roughly [[meantone]]-sized major third, thus is a stand-in for the classical diatonic major third. | ||
Parasoft smitonic tunings have both minor fifths and major fifths about equally off a just perfect fifth, and they approximate diatonic structure and 5-limit harmony fairly well otherwise. For this reason, parasoft might be the most accessible smitonic tuning range. | |||
Parasoft smitonic EDOs include [[18edo]], [[25edo]], [[32edo]], and [[43edo]]. | Parasoft smitonic EDOs include [[18edo]], [[25edo]], [[32edo]], and [[43edo]]. | ||