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List of superparticular intervals: Difference between revisions

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Wikispaces>keenanpepper
**Imported revision 269491218 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 269640280 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-10-28 04:40:39 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-10-28 13:10:41 UTC</tt>.<br>
: The original revision id was <tt>269491218</tt>.<br>
: The original revision id was <tt>269640280</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 52: Line 52:
|| [[55_54|55/54]] || 31.767 || (5*11)/(2*3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;) ||  ||
|| [[55_54|55/54]] || 31.767 || (5*11)/(2*3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;) ||  ||
|| [[56_55|56/55]] || 31.194 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*7)/(5*11) ||  ||
|| [[56_55|56/55]] || 31.194 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*7)/(5*11) ||  ||
|| [[99_98|99/98]] || 17.576 || (3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)/(2*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) || small undecimal comma ||
|| [[99_98|99/98]] || 17.576 || (3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)/(2*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) || small undecimal comma, mothwellsma ||
|| [[100_99|100/99]] || 17.399 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11) || Ptolemy's comma ||
|| [[100_99|100/99]] || 17.399 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11) || Ptolemy's comma,  ptolemisma ||
|| [[121_120|121/120]] || 14.376 || 11^2/(2^3*3*5) || undecimal seconds comma ||
|| [[121_120|121/120]] || 14.376 || 11^2/(2^3*3*5) || undecimal seconds comma, biyatisma ||
|| [[176_175|176/175]] || 9.8646 || (2^4*11)/(5^2*7) ||   ||
|| [[176_175|176/175]] || 9.8646 || (2^4*11)/(5^2*7) || valinorsma ||
|| [[243_242|243/242]] || 7.1391 || 2^5/(2*11^2) || neutral third comma ||
|| [[243_242|243/242]] || 7.1391 || 2^5/(2*11^2) || neutral third comma, rastma ||
|| [[385_384|385/384]] || 4.5026 || (5*7*11)/(2^7*3) || keenanisma ||
|| [[385_384|385/384]] || 4.5026 || (5*7*11)/(2^7*3) || keenanisma ||
|| [[441_440|441/440]] || 3.9302 || (3^2*7^2)/(2^3*5*11) || Werckmeister's undecimal septenarian schisma ||
|| [[441_440|441/440]] || 3.9302 || (3^2*7^2)/(2^3*5*11) || Werckmeister's undecimal septenarian schisma, werckisma ||
|| [[540_539|540/539]] || 3.2090 || (2^2*3^3*5)/(7^2*11) || Swets' comma ||
|| [[540_539|540/539]] || 3.2090 || (2^2*3^3*5)/(7^2*11) || Swets' comma,  swetisma ||
|| [[3025_3024|3025/3024]] || 0.57240 || (5^2*11^2)/(2^4*3^3*7) || Lehmerisma ||
|| [[3025_3024|3025/3024]] || 0.57240 || (5^2*11^2)/(2^4*3^3*7) || Lehmerisma ||
|| [[9801_9800|9801/9800]] || 0.17665 || (3^4*11^2)/(2^3*5^2*7^2) || Gauss comma, kalisma ||
|| [[9801_9800|9801/9800]] || 0.17665 || (3^4*11^2)/(2^3*5^2*7^2) || Gauss comma, kalisma ||
Line 70: Line 70:
|| [[65_64|65/64]] || 26.841 || (5*13)/2&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt; || 13th-partial chroma ||
|| [[65_64|65/64]] || 26.841 || (5*13)/2&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt; || 13th-partial chroma ||
|| [[66_65|66/65]] || 26.432 || (2*3*11)/(5*13) ||  ||
|| [[66_65|66/65]] || 26.432 || (2*3*11)/(5*13) ||  ||
|| [[78_77|78/77]] || 22.339 || (2*3*13)/(7*11) ||   ||
|| [[78_77|78/77]] || 22.339 || (2*3*13)/(7*11) || negustma ||
|| [[91_90|91/90]] || 19.130 || (7*13)/(2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5) || [[The Biosphere|Biome]] comma ||
|| [[91_90|91/90]] || 19.130 || (7*13)/(2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5) || [[The Biosphere|Biome]] comma,  superleap comma ||
|| [[105_104|105/104]] || 16.567 ||  || small tridecimal comma ||
|| [[105_104|105/104]] || 16.567 ||  || small tridecimal comma, animist comma ||
|| [[144_143|144/143]] || 12.064 ||  ||   ||
|| [[144_143|144/143]] || 12.064 ||  || grossma ||
|| [[169_168|169/168]] || 10.274 ||  ||   ||
|| [[169_168|169/168]] || 10.274 ||  || dhanvantarisma ||
|| [[196_195|196/195]] || 8.8554 ||  ||   ||
|| [[196_195|196/195]] || 8.8554 ||  || mynucuma ||
|| [[325_324|325/324]] || 5.3351 ||  ||   ||
|| [[325_324|325/324]] || 5.3351 ||  || marveltwin comma ||
|| [[351_350|351/350]] || 4.9393 ||  ||   ||
|| [[351_350|351/350]] || 4.9393 ||  || ratwolfsma ||
|| [[352_351|352/351]] || 4.9253 ||  ||   ||
|| [[352_351|352/351]] || 4.9253 ||  || minthma ||
|| [[364_363|364/363]] || 4.7627 ||  ||   ||
|| [[364_363|364/363]] || 4.7627 ||  || gentle comma ||
|| [[625_624|625/624]] || 2.7722 ||  ||  ||
|| [[625_624|625/624]] || 2.7722 ||  ||  ||
|| [[676_675|676/675]] || 2.5629 ||  ||   ||
|| [[676_675|676/675]] || 2.5629 ||  || island comma ||
|| [[729_728|729/728]] || 2.3764 ||  ||  ||
|| [[729_728|729/728]] || 2.3764 ||  ||  ||
|| [[1001_1000|1001/1000]] || 1.7304 ||  ||  ||
|| [[1001_1000|1001/1000]] || 1.7304 ||  ||  ||
Line 90: Line 90:
|| [[6656_6655|6656/6655]] || 0.26012 ||  ||  ||
|| [[6656_6655|6656/6655]] || 0.26012 ||  ||  ||
|| [[10648_10647|10648/10647]] || 0.16260 || harmonisma ||  ||
|| [[10648_10647|10648/10647]] || 0.16260 || harmonisma ||  ||
|| [[123201_123200|123201/123200]] || 0.014052 ||  ||   ||
|| [[123201_123200|123201/123200]] || 0.014052 ||  || chalmersia ||
||||||||~ 17-limit (incomplete) ||
||||||||~ 17-limit (incomplete) ||
|| [[17_16|17/16]] || 104.955 || 17/2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; || 17th harmonic (octave reduced) ||
|| [[17_16|17/16]] || 104.955 || 17/2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt; || 17th harmonic (octave reduced) ||
Line 525: Line 525:
         &lt;td&gt;(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)/(2*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)&lt;br /&gt;
         &lt;td&gt;(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)/(2*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small undecimal comma&lt;br /&gt;
         &lt;td&gt;small undecimal comma, mothwellsma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 535: Line 535:
         &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)&lt;br /&gt;
         &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ptolemy's comma&lt;br /&gt;
         &lt;td&gt;Ptolemy's comma,  ptolemisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 545: Line 545:
         &lt;td&gt;11^2/(2^3*3*5)&lt;br /&gt;
         &lt;td&gt;11^2/(2^3*3*5)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal seconds comma&lt;br /&gt;
         &lt;td&gt;undecimal seconds comma, biyatisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 555: Line 555:
         &lt;td&gt;(2^4*11)/(5^2*7)&lt;br /&gt;
         &lt;td&gt;(2^4*11)/(5^2*7)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;valinorsma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 565: Line 565:
         &lt;td&gt;2^5/(2*11^2)&lt;br /&gt;
         &lt;td&gt;2^5/(2*11^2)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;neutral third comma&lt;br /&gt;
         &lt;td&gt;neutral third comma, rastma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 585: Line 585:
         &lt;td&gt;(3^2*7^2)/(2^3*5*11)&lt;br /&gt;
         &lt;td&gt;(3^2*7^2)/(2^3*5*11)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Werckmeister's undecimal septenarian schisma&lt;br /&gt;
         &lt;td&gt;Werckmeister's undecimal septenarian schisma, werckisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 595: Line 595:
         &lt;td&gt;(2^2*3^3*5)/(7^2*11)&lt;br /&gt;
         &lt;td&gt;(2^2*3^3*5)/(7^2*11)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Swets' comma&lt;br /&gt;
         &lt;td&gt;Swets' comma,  swetisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 699: Line 699:
         &lt;td&gt;(2*3*13)/(7*11)&lt;br /&gt;
         &lt;td&gt;(2*3*13)/(7*11)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;negustma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 709: Line 709:
         &lt;td&gt;(7*13)/(2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5)&lt;br /&gt;
         &lt;td&gt;(7*13)/(2*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/The%20Biosphere"&gt;Biome&lt;/a&gt; comma&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/The%20Biosphere"&gt;Biome&lt;/a&gt; comma,  superleap comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 719: Line 719:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small tridecimal comma&lt;br /&gt;
         &lt;td&gt;small tridecimal comma, animist comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 729: Line 729:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;grossma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 739: Line 739:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;dhanvantarisma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 749: Line 749:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;mynucuma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 759: Line 759:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;marveltwin comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 769: Line 769:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;ratwolfsma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 779: Line 779:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;minthma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 789: Line 789:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;gentle comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 809: Line 809:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;island comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 899: Line 899:
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;chalmersia&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"