4edt: Difference between revisions

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4edt can be viewed as a "collapsed" version of the [[Bohlen-Pierce]] [[4L 5s (3/1-equivalent)|lambda scale]], analogous to how 5edo is a [[collapsed]] version of the [[diatonic]] scale.  While the approximation for the 5th and 7th harmonics by 4edt may seem excessively vague (or even impossibly vague, as some might say), they are nevertheless categorically important to the perception of the scale{{clarify}}. Given the width of the "scale", 4edt can even be perceived as within the modal logic of Bohlen-Pierce harmony. However, it is doubtful that this scale could receive much melodic treatment, and is more useful as an abstract harmonic entity, either to skeletonize BP harmony, or serving as a subset of scales like [[8edt]].
4edt can be viewed as a "collapsed" version of the [[Bohlen-Pierce]] [[4L 5s (3/1-equivalent)|lambda scale]], analogous to how 5edo is a [[collapsed]] version of the [[diatonic]] scale.  While the approximation for the 5th and 7th harmonics by 4edt may seem excessively vague (or even impossibly vague, as some might say), they are nevertheless categorically important to the perception of the scale{{clarify}}. Given the width of the "scale", 4edt can even be perceived as within the modal logic of Bohlen-Pierce harmony. However, it is doubtful that this scale could receive much melodic treatment, and is more useful as an abstract harmonic entity, either to skeletonize BP harmony, or serving as a subset of scales like [[8edt]].


=== Odd harmonics ===
=== Harmonics ===
{{Harmonics in equal|4|3|1|intervals=odd}}
{{Harmonics in equal|4|3|1}}