Major third: Difference between revisions

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== In just intonation ==
== In just intonation ==
=== By prime limit ===
3-limit intervals in the range of major thirds include the '''Pythagorean major third''' of [[81/64]], about 408 cents in size, which corresponds to the MOS-based interval category of the [[diatonic major third]] and is generated by [[stacking]] four just perfect fifths of [[3/2]], and the '''Pythagorean diminished fourth''' of [[8192/6561]], which is flat of 81/64 by one Pythagorean comma, and is about 384 cents in size.
3-limit intervals in the range of major thirds include the '''Pythagorean major third''' of [[81/64]], about 408 cents in size, which corresponds to the MOS-based interval category of the [[diatonic major third]] and is generated by [[stacking]] four just perfect fifths of [[3/2]], and the '''Pythagorean diminished fourth''' of [[8192/6561]], which is flat of 81/64 by one Pythagorean comma, and is about 384 cents in size.


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** There is also a 13-limit '''submajor third''', which is a ratio of [[26/21]], and is about 370 cents.
** There is also a 13-limit '''submajor third''', which is a ratio of [[26/21]], and is about 370 cents.
* The 17-limit '''submajor third''' is a ratio of [[21/17]], and is about 366 cents.
* The 17-limit '''submajor third''' is a ratio of [[21/17]], and is about 366 cents.
=== By delta ===
{| class="wikitable"
|+
!Delta 1
!Cents
!Delta 2
!Cents
!Delta 3
!Cents
!Delta 4
!Cents
!Delta 5
!Cents
|-
|5/4
|386c
|9/7
|435c
|13/10
|454c
|19/15
|409c
|22/17
|446c
|-
|
|
|
|
|14/11
|418c
|21/17
|366c
|23/18
|424c
|-
|
|
|
|
|
|
|
|
|24/19
|404c
|-
|
|
|
|
|
|
|
|
|26/21
|370c
|}


== In EDOs ==
== In EDOs ==