Neutral third: Difference between revisions

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A '''neutral third (n3)''' is ~~an interval that spans two steps~~ of ~~the~~ [[~~5L 2s|diatonic~~]] ~~scale with a quality between major~~ and ~~minor. It exists in~~ [[~~neutralization|neutralized~~]] ~~diatonic scales as exactly one half~~ of a [[~~perfect fifth~~]].

A '''neutral third (n3)''', as a concrete [[interval region]], is typically near 350 [[cents]] in size, distinct from the [[minor third]] of roughly 300 [[cent]]s and the [[major third]] of roughly 400{{c}}. A rough tuning range for the neutral third is 330 to 370{{c}} according to [[Margo Schulter]]'s theory of interval regions.

In [[just intonation]], an interval may be classified as a neutral third if it is reasonably mapped to ~~2\7 and [[24edo|7\24]] (precisely~~ two steps of the diatonic scale and three and a half steps of the chromatic scale).

In [[just intonation]], an interval may be classified as a neutral third if it is reasonably mapped to two steps of the diatonic scale and three and a half steps of the chromatic scale.

~~As a concrete~~ [[~~interval region~~]], ~~it is typically near 350 [[cents]] in size, distinct from the [[minor~~ third]] of ~~roughly 300~~ [[~~cent~~]]s and ~~the~~ [[~~major third~~]] of ~~roughly 400{{c}}. A rough tuning range for the neutral third is 330 to 370{{c}} according to~~ [[~~Margo Schulter~~]]~~'s theory of interval regions~~.

In the [[diatonic]] scale, a neutral third spans two steps of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a [[perfect fifth]].

Two neutral thirds stack to a perfect fifth, and as such the neutral third range is generally divided at roughly 350{{c}} into '''artoneutral''' (flatter) and '''tendoneutral''' (sharper) thirds. As such, neutral thirds tend to exist in pairs.

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 {{Wikipedia}}
-A '''neutral third (n3)''' is an interval that spans two steps of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a [[perfect fifth]].
+A '''neutral third (n3)''', as a concrete [[interval region]], is typically near 350 [[cents]] in size, distinct from the [[minor third]] of roughly 300 [[cent]]s and the [[major third]] of roughly 400{{c}}. A rough tuning range for the neutral third is 330 to 370{{c}} according to [[Margo Schulter]]'s theory of interval regions.
-In [[just intonation]], an interval may be classified as a neutral third if it is reasonably mapped to 2\7 and [[24edo|7\24]] (precisely two steps of the diatonic scale and three and a half steps of the chromatic scale).
+In [[just intonation]], an interval may be classified as a neutral third if it is reasonably mapped to two steps of the diatonic scale and three and a half steps of the chromatic scale.
-As a concrete [[interval region]], it is typically near 350 [[cents]] in size, distinct from the [[minor third]] of roughly 300 [[cent]]s and the [[major third]] of roughly 400{{c}}. A rough tuning range for the neutral third is 330 to 370{{c}} according to [[Margo Schulter]]'s theory of interval regions.
+In the [[diatonic]] scale, a neutral third spans two steps of the [[5L 2s|diatonic]] scale with a quality between major and minor. It exists in [[neutralization|neutralized]] diatonic scales as exactly one half of a [[perfect fifth]].
 Two neutral thirds stack to a perfect fifth, and as such the neutral third range is generally divided at roughly 350{{c}} into '''artoneutral''' (flatter) and '''tendoneutral''' (sharper) thirds. As such, neutral thirds tend to exist in pairs.