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{{Infobox|Title=Diatonic major third|Data 5=400c|Data 8=[[Pentic diminished third]]|Header 9=Daughter intervals|Header 8=Parent interval|Data 7=[[Antidiatonic minor third]], [[oneirotonic minor fifth]]|Data 6=[[Diatonic minor third]]|Header 7=Adjacent tunings|Header 6=Chromatically adjacent interval|Data 4=343c - 480c|Header 1=MOS|Data 3=+4 generators|Data 2=Major 2-diastep|Header 5=Basic tuning|Header 4=Tuning range|Header 3=Generator span|Header 2=Other names|Data 1=[[5L 2s]]|Data 9=[[M-chromatic minor fifth]], [[P-chromatic major fifth]]|Header 10=Associated just intervals|Data 10=[[5/4]], [[81/64]]}}
In the diatonic scale, the '''major third''' is the major variant of the 2-diastep, or ''third.'' It is generated by stacking 4 [[Diatonic perfect fifth|diatonic perfect fifths]] and octave-reducing. It can be stacked with a [[diatonic minor third]] to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony.
In the diatonic scale, the '''major third''' is the major variant of the 2-diastep, or ''third.'' It is generated by stacking 4 [[Diatonic perfect fifth|diatonic perfect fifths]] and octave-reducing. It can be stacked with a [[diatonic minor third]] to form a perfect fifth, and as such is often involved in chord structures in diatonic harmony.
Infobox TBD


== Name ==
== Name ==
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Being an abstract MOS degree, and not a specific interval, the diatonic major third doesn't have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.
Being an abstract MOS degree, and not a specific interval, the diatonic major third doesn't have a fixed tuning, but instead has a range of ways it can be tuned, based on the tuning of the generator used in making the scale.


The tuning range of the diatonic major third ranges from 342.8 cents to 480 cents. Sharp of this, it becomes a [[minor 4-oneirostep]], and flat of this, it becomes a [[minor 2-pelstep]].
The tuning range of the diatonic major third ranges from 342.8 cents to 480 cents. Sharp of this, it becomes an [[oneirotonic minor fifth]], and flat of this, it becomes an [[antidiatonic minor third]].


The diatonic major third is itself a type of [[diminished 2-pentstep]], and contains the categories of [[m-chromatic minor 4-step]] and [[p-chromatic major 4-step]], corresponding to the flat-of-basic and sharp-of-basic tunings of the major third respectively.
The diatonic major third is itself a type of [[pentic diminished third]], and contains the categories of [[m-chromatic minor fifth]] and [[p-chromatic major fifth]], corresponding to the flat-of-basic and sharp-of-basic tunings of the major third respectively.
{| class="wikitable"
{| class="wikitable"
|+Tunings of the major 2-diastep
|+Tunings of the major 2-diastep
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|[[Io]]
|[[Io]]
|[[33/32]]
|[[33/32]]
|Perfect 4-diastep ≈ 689c
|Perfect fifth ≈ 689c
|-
|-
|[[16/13]]
|[[16/13]]
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|[[Superflat]]
|[[Superflat]]
|[[1053/1024]]
|[[1053/1024]]
|Perfect 4-diastep ≈ 690c
|Perfect fifth ≈ 690c
|-
|-
|[[21/17]]
|[[21/17]]
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|Temperament of 459/448
|Temperament of 459/448
|459/448
|459/448
|Perfect 4-diastep ≈ 692c
|Perfect fifth ≈ 692c
|-
|-
|[[5/4]]
|[[5/4]]
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|[[Meantone]]
|[[Meantone]]
|[[81/80]]
|[[81/80]]
|Perfect 4-diastep ≈ 697c
|Perfect fifth ≈ 697c
|-
|-
|[[81/64]]
|[[81/64]]
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|[[Pythagorean tuning|Pythagorean]]
|[[Pythagorean tuning|Pythagorean]]
|[[1/1]]
|[[1/1]]
|Perfect 4-diastep ≈ 702c
|Perfect fifth ≈ 702c
|-
|-
|[[14/11]]
|[[14/11]]
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|[[Parapyth]]/[[Pentacircle]]
|[[Parapyth]]/[[Pentacircle]]
|[[896/891]]
|[[896/891]]
|Perfect 4-diastep ≈ 705c
|Perfect fifth ≈ 705c
|-
|-
|[[9/7]]
|[[9/7]]
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|[[Superpyth|Archy/Superpyth]]
|[[Superpyth|Archy/Superpyth]]
|[[64/63]]
|[[64/63]]
|Perfect 4-diastep ≈ 709c
|Perfect fifth ≈ 709c
|-
|-
|[[13/10]]
|[[13/10]]
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|[[Oceanfront]]/Temperament of 416/405
|[[Oceanfront]]/Temperament of 416/405
|[[416/405]]
|[[416/405]]
|Perfect 4-diastep ≈ 714c
|Perfect fifth ≈ 714c
|}
|}
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