Major third: Difference between revisions
m →By prime limit: the precision here is free |
"MOS" and "EDO" should be capitalized to make it clear that they are acronyms. |
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== In just intonation == | == In just intonation == | ||
=== By prime limit === | === By prime limit === | ||
3-limit intervals in the range of major thirds include the '''Pythagorean major third''' of [[81/64]], 407.8{{c}} in size, which corresponds to the | 3-limit intervals in the range of major thirds include the '''Pythagorean major third''' of [[81/64]], 407.8{{c}} 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{{c}} in size. | ||
Much [[odd limit|simpler]] major thirds exist in higher [[prime limit|limits]], however, for example: | Much [[odd limit|simpler]] major thirds exist in higher [[prime limit|limits]], however, for example: | ||
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== In | == In EDOs == | ||
The following table lists the best tuning of 5/4 and 9/7, as well as other major thirds if present, in various significant [[edos]]. | The following table lists the best tuning of 5/4 and 9/7, as well as other major thirds if present, in various significant [[edos|EDOs]]. | ||
{| class="wikitable" | {| class="wikitable" | ||