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 == | ||