Minor third: Difference between revisions

TallKite (talk | contribs)
By prime limit: removed an extremely complex ratio in the tens of thousands
CompactStar (talk | contribs)
The pythagorean augmented second is considered theoretically important, it appears in Pythagorean[12] and is the schismic tepresentation for 6/5, this is presumably why it is mentioned.
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== In just intonation ==
== In just intonation ==
=== By prime limit ===
=== By prime limit ===
The simplest 3-limit interval in the range of minor thirds is the Pythagorean minor third of [[32/27]], about 294{{c}} in size, which is generated by [[stacking]] three just perfect fourths of [[4/3]].
3-limit intervals in the range of minor thirds include the Pythagorean minor third of [[32/27]], 294.1{{c}} in size, which corresponds to the mos-based interval category of the diatonic minor third and is generated by [[stacking]] three just perfect fourths of [[4/3]], and the Pythagorean augmented second of [[19683/16384]], which is sharp of 32/27 by one Pythagorean comma, and is about 318{{c}} in size.


Much [[odd limit|simpler]] minor thirds exist in higher [[prime limit|limits]], however, for example:
Much [[odd limit|simpler]] minor thirds exist in higher [[prime limit|limits]], however, for example: