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| <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 = 134217728/129140163 |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-05 21:41:08 UTC</tt>.<br>
| | | Name = gothic comma, 17-comma, Pythagorean gothma, Pythagorean double-diminished third |
| : The original revision id was <tt>282666630</tt>.<br>
| | | Color name = ssw3, sasawa 3rd,<br>17wM, sewama |
| : 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 '''gothic comma''', otherwise known as the '''17-comma''' or '''Pythagorean gothma''' ({{monzo|legend=1| 27 -17 }}, [[ratio]]: 134217728/129140163), is a [[3-limit]] interval of 66.765{{cent}}. It is the amount by which seventeen [[perfect fifth]]s fall short of ten [[octave]]s, or 2<sup>10</sup>/(3/2)<sup>17</sup>. If used as an interval in its own right, it is the '''Pythagorean double-diminished third'''. |
| <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">134217728/129140163 = |27 -17>, called the 17-comma, is an interval of 66.765 cents, is the amount by which seventeen fifths fall short of ten octaves, or 2^10/(3/2)^17. For EDOs up to 150 the 17-comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].
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| See: [[comma]], [[Gallery of Just Intervals]]</pre></div>
| | == Temperaments == |
| <h4>Original HTML content:</h4>
| | Tempering out this comma in the 5-limit leads to the [[gothic]] temperament. For edos up to [[136edo|136]], the comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]]. |
| <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>17-comma</title></head><body>134217728/129140163 = |27 -17&gt;, called the 17-comma, is an interval of 66.765 cents, is the amount by which seventeen fifths fall short of ten octaves, or 2^10/(3/2)^17. For EDOs up to 150 the 17-comma is tempered out if and only if 17 divides it, for example <a class="wiki_link" href="/17edo">17edo</a>, <a class="wiki_link" href="/34edo">34edo</a> or <a class="wiki_link" href="/68edo">68edo</a>.<br />
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| | == Terminology == |
| See: <a class="wiki_link" href="/comma">comma</a>, <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
| | The names were given by [[Flora Canou]] in 2023. The first term ''gothic comma'' draws two inspirations: |
| | # the [[neogothic]] tuning available in 17edo, and |
| | # the link of [[TAMNAMS Extension]] name and comma names by the analogy pair gothic : pytha<u>go</u>tonic :: mystery : pytha<u>mys</u>tonic. |
| | Additionally, by coincidence, the term "gothic" fits into the naming scheme of the [[comptonesque]] temperament collection, representing Vector's project Not!Earth in which the Goths are a major culture group. |
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| | The second term ''Pythagorean gothma'' is part of a series of step names in the [[Pythagorean tuning|Pythagorean]] [[diatonic scale]], where ''gothma'' (adjective: ''gothmic'') refers to the double diminished 2-step, i.e. |3s - L|. |
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| | == See also == |
| | * [[Gallery of just intervals]] |
| | * [[Medium comma]] |
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| | [[Category:Commas named for other reasons]] |