Neutral third: Difference between revisions
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 |
florac, the intro is fine |
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{{Wikipedia}} | {{Infobox interval region|Name=Neutral third|Cents lower=340|Cents lower wide=330|Cents upper=360|Cents upper wide=370|JI intervals=11/9, 27/22, 16/13|MOSes=[[4L 3s]], [[3L 4s]], [[7L 3s]], [[3L 7s]]|Complement=[[Neutral sixth]]|Lower region=[[Minor third]]|Higher region=[[Major third]]}}{{Wikipedia}} | ||
A '''neutral third (n3)''' is | 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 | 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 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. | 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]]s. For applicable | The following table lists the best tuning of 39/32 and 16/13 in various significant [[edo|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]] scales: | Intervals between 327 and 400{{c}} generate the following [[mos|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}} | ||