|
|
| (13 intermediate revisions by 10 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Ratio = 20000/19683 |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-26 14:23:08 UTC</tt>.<br>
| | | Name = tetracot comma, minimal diesis |
| : The original revision id was <tt>248683303</tt>.<br>
| | | Color name = sy<sup>4</sup>1, Saquadyo comma |
| : The revision comment was: <tt></tt><br>
| | | Comma = yes |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | | }} |
| <h4>Original Wikitext content:</h4>
| | The '''tetracot comma''' ({{monzo|legend=1| 5 -9 4 }}, [[ratio]]: 20000/19683), or '''minimal diesis''', is a [[small comma|small]] [[5-limit]] [[comma]] of 27.660 [[cent]]s which is the amount by which four [[10/9|minor whole tones]] exceed a [[3/2|fifth]]; that is, (10/9)<sup>4</sup>/(3/2). It can also be expressed as the octave-reduced difference between four [[5/4|just major thirds]] and nine just perfect fifths, which directly follows from its monzo. Another characterization is the interval between four [[81/80|syntonic commas]] and a [[2187/2048|Pythagorean apotome]], making the corresponding temperament a member of the [[syntonic–chromatic equivalence continuum]]. Since an apotome minus two syntonic commas is a [[25/24|classical chroma]], the comma can be expressed as the difference between an apotome and a stack of two classical chromas, or between a classical chroma and a stack of two syntonic commas. |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">20000/19683, the tetracot comma or minimal diesis, is an interval of 27.660 cents which is the amount by which four [[10_9|minor whole tones]] exceed a fifth; that is, (10/9)^4/(3/2). Tempering it out leads to [[Tetracot family|tetracot temperament]].</pre></div>
| | |
| <h4>Original HTML content:</h4>
| | == Temperaments == |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>tetracot comma</title></head><body>20000/19683, the tetracot comma or minimal diesis, is an interval of 27.660 cents which is the amount by which four <a class="wiki_link" href="/10_9">minor whole tones</a> exceed a fifth; that is, (10/9)^4/(3/2). Tempering it out leads to <a class="wiki_link" href="/Tetracot%20family">tetracot temperament</a>.</body></html></pre></div>
| | Tempering out this comma leads to the [[tetracot family]] of temperaments. |
| | |
| | [[Category:Tetracot]] |
| | [[Category:Commas named for how they divide the fifth]] |