Small comma
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2010-05-31 03:19:45 UTC.
- The original revision id was 145974791.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
A **comma** is a small just interval, greater than 1 and not a power such as a square or cube of any other interval, generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is //tempered out//, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by [[Meantone|meantone temperament]]. ==3-limit commas== 256/243 = |8 -5>: limma or Pythagorean minor second 2187/2048 = |-11 7>: apotome 531441/524288 = |-19 12>: Pythagorean comma 134217728/129140163 = |27 -17>: 17-comma 70368744177664/68630377364883 = |46, -29>: 29-comma |65 -41>: 41-comma |-84 53>: Mecator's comma, 53-comma,
Original HTML content:
<html><head><title>Comma</title></head><body>A <strong>comma</strong> is a small just interval, greater than 1 and not a power such as a square or cube of any other interval, generally in a <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em>tempered out</em>, which is to say reduced to a unison, by the temperament. For example the Didymos comma of 81/80 is tempered out by <a class="wiki_link" href="/Meantone">meantone temperament</a>. <br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:0 -->3-limit commas</h2> <br /> 256/243 = |8 -5>: limma or Pythagorean minor second<br /> 2187/2048 = |-11 7>: apotome<br /> 531441/524288 = |-19 12>: Pythagorean comma<br /> 134217728/129140163 = |27 -17>: 17-comma<br /> 70368744177664/68630377364883 = |46, -29>: 29-comma<br /> |65 -41>: 41-comma<br /> |-84 53>: Mecator's comma, 53-comma,</body></html>