Neutral third: Difference between revisions
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The concept started as an interval in the diatonic scale, and is still used this way. The interval region is a later association. You can't just make it the main definition Tag: Undo |
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{{Wikipedia}} | {{Wikipedia}} | ||
A '''neutral third (n3)''' | 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]]. | ||
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. | 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). | ||
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. | |||
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. | 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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== In | == In edos == | ||
The following table lists the best tuning of 39/32 and 16/13 in various significant [[edo | The following table lists the best tuning of 39/32 and 16/13 in various significant [[edo]]s. For applicable edos, it also lists one half of the edo's perfect fifth, approximating 1\[[2edf]], which, while not a just interval, is the "canonical" neutral third tuning, as stacking two of them gives [[3/2]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | ! Edo | ||
! 1\2edf | ! 1\2edf | ||
! 39/32 | ! 39/32 | ||
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== In moment-of-symmetry scales == | == In moment-of-symmetry scales == | ||
Intervals between 327 and 400{{c}} generate the following [[mos | Intervals between 327 and 400{{c}} generate the following [[mos]] scales: | ||
These tables start from the last monolarge | These tables start from the last monolarge mos generated by the interval range. | ||
Scales with more than 12 notes are not included. | Scales with more than 12 notes are not included. | ||
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|- | |- | ||
! Range | ! Range | ||
! colspan="4" | | ! colspan="4" | Mos | ||
|- | |- | ||
| 327–343{{c}} | | 327–343{{c}} | ||