Small comma: Difference between revisions

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A **comma** is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, and generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is //[[tempering out|tempered out]]//, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in [[cent]]s.

=List of commas, by prime limit=  

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A &lt;strong&gt;comma&lt;/strong&gt; is a small interval that occurs in &lt;a class="wiki_link" href="/just%20intonation"&gt;just intonation&lt;/a&gt;, between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, and generally in a &lt;a class="wiki_link" href="/Harmonic%20Limit"&gt;low prime limit&lt;/a&gt;. The word is often used in reference to &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;regular tempering&lt;/a&gt; when the comma is &lt;em&gt;&lt;a class="wiki_link" href="/tempering%20out"&gt;tempered out&lt;/a&gt;&lt;/em&gt;, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by &lt;a class="wiki_link" href="/Meantone"&gt;meantone temperament&lt;/a&gt;. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms, as well as the size in &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s.&lt;br /&gt;

&lt;br /&gt;

&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="List of commas, by prime limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;List of commas, by prime limit&lt;/h1&gt;