https://xenreference.com/wiki/index.php?action=history&feed=atom&title=Perfect_consonancePerfect consonance - Revision history2026-06-05T12:30:01ZRevision history for this page on the wikiMediaWiki 1.44.2https://xenreference.com/wiki/index.php?title=Perfect_consonance&diff=7117&oldid=prevVector: Created page with "A '''perfect consonance''' is one of the most consonant intervals; they are usually extremely easy to sing and recognize by ear. The set of perfect consonances is equivalent in most systems of theory to the '''3-odd-limit''', which is the set of intervals wherein the highest allowable odd in the numerator and denominator is 3. It is the smallest odd-limit containing intervals of the 3-limit. == Table of 3-odd-limit intervals == Reduced to an octave, the intervals of the..."2026-05-17T08:20:55Z<p>Created page with "A '''perfect consonance''' is one of the most consonant intervals; they are usually extremely easy to sing and recognize by ear. The set of perfect consonances is equivalent in most systems of theory to the '''3-odd-limit''', which is the set of intervals wherein the highest allowable odd in the numerator and denominator is 3. It is the smallest odd-limit containing intervals of the 3-limit. == Table of 3-odd-limit intervals == Reduced to an octave, the intervals of the..."</p>
<p><b>New page</b></p><div>A '''perfect consonance''' is one of the most consonant intervals; they are usually extremely easy to sing and recognize by ear. The set of perfect consonances is equivalent in most systems of theory to the '''3-odd-limit''', which is the set of intervals wherein the highest allowable odd in the numerator and denominator is 3. It is the smallest odd-limit containing intervals of the 3-limit.<br />
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== Table of 3-odd-limit intervals ==<br />
Reduced to an octave, the intervals of the 3-odd-limit are:<br />
{| class="wikitable"<br />
!Interval<br />
!Cents<br />
!Name<br />
|-<br />
|1/1<br />
|0.0<br />
|Unison<br />
|-<br />
|4/3<br />
|498.0<br />
|Perfect 4th<br />
|-<br />
|3/2<br />
|702.0<br />
|Perfect 5th<br />
|-<br />
|2/1<br />
|1200.0<br />
|Octave<br />
|}<br />
<br />
== Approximation by edos ==<br />
All edos are consistent to the 3-odd-limit, because the requirement is simply to map 3/1 somewhere between 1800c and 2400c, which is a property of all edos. The first edo that is distinctly consistent to the 3-odd-limit is 3edo. However, the first edos that tune all its intervals reasonably accurately are 5edo and 7edo, outlining the basic structures of equipentatonic and equiheptatonic scales.<br />
<br />
== Intervals of the 3-odd-limit ==<br />
More info at [[5-odd-limit#Perfect consonances]].</div>Vector