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List of superparticular intervals: Difference between revisions

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VisualWikitext
Wikispaces>Kosmorsky
**Imported revision 513947714 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 538882498 - Original comment: **
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<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:Kosmorsky|Kosmorsky]] and made on <tt>2014-06-14 14:45:38 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-01-28 16:19:01 UTC</tt>.<br>
: The original revision id was <tt>513947714</tt>.<br>
: The original revision id was <tt>538882498</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>
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|| [[16_15|16/15]] || 111.713 || 2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;/(3*5) || minor diatonic semitone, 15th subharmonic ||
|| [[16_15|16/15]] || 111.713 || 2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;/(3*5) || minor diatonic semitone, 15th subharmonic ||
|| [[25_24|25/24]] || 70.672 || 5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3) || chroma, (classic) chromatic semitone, Zarlinian semitone ||
|| [[25_24|25/24]] || 70.672 || 5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3) || chroma, (classic) chromatic semitone, Zarlinian semitone ||
|| [[81_80|81/80]] || 21.506 || 3&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*5) || syntonic comma, Didymus comma ||
|| [[81_80|81/80]] || 21.506 || &lt;span style="line-height: 15.6000003814697px;"&gt;(&lt;/span&gt;3&lt;span style="line-height: 1.5;"&gt;/&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;2)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;4&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;/&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;5&lt;/span&gt; || syntonic comma, Didymus comma ||
||||||||~ 7-limit ||
||||||||~ 7-limit ||
|| [[7_6|7/6]] || 266.871 || 7/(2*3) || (septimal) subminor third, septimal minor third, augmented second ||
|| [[7_6|7/6]] || 266.871 || 7/(2*3) || (septimal) subminor third, septimal minor third, augmented second ||
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|| [[36_35|36/35]] || 48.770 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(5*7) || septimal quarter tone, septimal diesis ||
|| [[36_35|36/35]] || 48.770 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(5*7) || septimal quarter tone, septimal diesis ||
|| [[49_48|49/48]] || 35.697 || 7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*3) || large septimal diesis, slendro diesis, septimal 1/6-tone ||
|| [[49_48|49/48]] || 35.697 || 7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*3) || large septimal diesis, slendro diesis, septimal 1/6-tone ||
|| [[50_49|50/49]] || 34.976 || (2*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; || septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma ||
|| [[50_49|50/49]] || 34.976 || 2*(5&lt;span style="line-height: 1.5;"&gt;/7)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt; || septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma ||
|| [[64_63|64/63]] || 27.264 || 2&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt;/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*7) || septimal comma, Archytas' comma ||
|| [[64_63|64/63]] || 27.264 || 2&lt;span style="vertical-align: super;"&gt;6&lt;/span&gt;/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*7) || septimal comma, Archytas' comma ||
|| [[126_125|126/125]] || 13.795 || (2*3^2*7)/5^3 || starling comma, septimal semicomma ||
|| [[126_125|126/125]] || 13.795 || (2*3^2*7)/5^3 || starling comma, septimal semicomma ||
|| [[225_224|225/224]] || 7.7115 || (3^2*5^2)/(2^5*7) || marvel comma, septimal kleisma ||
|| [[225_224|225/224]] || 7.7115 || (3*5)&lt;span style="line-height: 1.5;"&gt;^2/(2^5*7)&lt;/span&gt; || marvel comma, septimal kleisma ||
|| [[2401_2400|2401/2400]] || 0.72120 || 7^4/(2^5*3*5^2) || breedsma ||
|| [[2401_2400|2401/2400]] || 0.72120 || 7^4/(2^5*3*5^2) || breedsma ||
|| [[4375_4374|4375/4374]] || 0.39576 || (5^4*7)/(2*3^7) || ragisma ||
|| [[4375_4374|4375/4374]] || 0.39576 || (5^4*7)/(2*3^7) || ragisma ||
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|| [[22_21|22/21]] || 80.537 || (2*11)/(3*7) || undecimal minor semitone ||
|| [[22_21|22/21]] || 80.537 || (2*11)/(3*7) || undecimal minor semitone ||
|| [[33_32|33/32]] || 53.273 || (3*11)/2&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt; || unidecimal quarter tone, unidecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced) ||
|| [[33_32|33/32]] || 53.273 || (3*11)/2&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt; || unidecimal quarter tone, unidecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced) ||
|| [[45_44|45/44]] || 38.906 || (3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11) || 1/5-tone ||
|| [[45_44|45/44]] || 38.906 || (3&lt;span style="line-height: 15.6000003814697px;"&gt;/&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;2)^&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;2*&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;(&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;5/&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;11)&lt;/span&gt; || 1/5-tone ||
|| [[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, mothwellsma ||
|| [[99_98|99/98]] || 17.576 || (3&lt;span style="line-height: 1.5;"&gt;/7)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*(11/2)&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, ptolemisma ||
|| [[100_99|100/99]] || 17.399 || (2&lt;span style="line-height: 1.5;"&gt;*5/3)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;/11)&lt;/span&gt; || Ptolemy's comma, ptolemisma ||
|| [[121_120|121/120]] || 14.376 || 11^2/(2^3*3*5) || undecimal seconds comma, biyatisma ||
|| [[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) || valinorsma ||
|| [[176_175|176/175]] || 9.8646 || (2^4*11)/(5^2*7) || valinorsma ||
|| [[243_242|243/242]] || 7.1391 || 3^5/(2*11^2) || neutral third comma, rastma ||
|| [[243_242|243/242]] || 7.1391 || 3^5/(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, werckisma ||
|| [[441_440|441/440]] || 3.9302 || (3*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, swetisma ||
|| [[540_539|540/539]] || 3.2090 || (2/7)^2*3^3*5/11 || 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*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 || &lt;span style="line-height: 1.5;"&gt;[11/(5*7)]&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;^2*&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;3^4/2^3&lt;/span&gt; || Gauss comma, kalisma ||
||||||||~ 13-limit ||
||||||||~ 13-limit ||
|| [[13_12|13/12]] || 138.573 || 13/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3) || tridecimal 2/3-tone ||
|| [[13_12|13/12]] || 138.573 || 13/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3) || tridecimal 2/3-tone ||
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|| [[78_77|78/77]] || 22.339 || (2*3*13)/(7*11) || negustma ||
|| [[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, superleap 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, animist comma ||
|| [[105_104|105/104]] || 16.567 || (3*5*7)/(2^3*13) || small tridecimal comma, animist comma ||
|| [[144_143|144/143]] || 12.064 ||   || grossma ||
|| [[144_143|144/143]] || 12.064 || (&lt;span style="line-height: 1.5;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*3)^2/(11*13)&lt;/span&gt; || grossma ||
|| [[169_168|169/168]] || 10.274 ||   || buzurgisma, dhanvantarisma ||
|| [[169_168|169/168]] || 10.274 || 13&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3*7) || buzurgisma, dhanvantarisma ||
|| [[196_195|196/195]] || 8.8554 ||   || mynucuma ||
|| [[196_195|196/195]] || 8.8554 || (2*7)^2/(3*5*13) || marveltwin comma ||
|| [[325_324|325/324]] || 5.3351 ||  || marveltwin comma ||
|| [[351_350|351/350]] || 4.9393 || (3/5)^2*13/(2*7) || ratwolfsma ||
|| [[351_350|351/350]] || 4.9393 ||   || ratwolfsma ||
|| [[352_351|352/351]] || 4.9253 || (&lt;span style="line-height: 1.5;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;5&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*11)/(&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;3^&lt;/span&gt;2&lt;span style="line-height: 15.6000003814697px;"&gt;*13)&lt;/span&gt; || minthma ||
|| [[352_351|352/351]] || 4.9253 ||   || minthma ||
|| [[364_363|364/363]] || 4.7627 || (2/11)^2*7*13/3 || gentle comma ||
|| [[364_363|364/363]] || 4.7627 ||   || gentle comma ||
|| [[625_624|625/624]] || 2.7722 ||  || tunbarsma ||
|| [[625_624|625/624]] || 2.7722 ||  || tunbarsma ||
|| [[676_675|676/675]] || 2.5629 ||  || island comma ||
|| [[676_675|676/675]] || 2.5629 ||  || island comma ||
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|| [[85_84|85/84]] || 20.488 || (5*17)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3*7) ||  ||
|| [[85_84|85/84]] || 20.488 || (5*17)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*3*7) ||  ||
|| 120/119 || 14.487 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3*5)/(7*17) ||  ||
|| 120/119 || 14.487 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3*5)/(7*17) ||  ||
|| 136/135 || 12.777 || (2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*17)/(3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*5) ||  ||
|| 136/135 || 12.777 || (2/&lt;span style="line-height: 1.5;"&gt;3)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;3&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*17/5&lt;/span&gt; ||  ||
|| 154/153 || 11.278 || (2*7*11)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) ||  ||
|| 154/153 || 11.278 || (2*7*11)/(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) ||  ||
|| 170/169 || 10.214 || (2*5*17)/13&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; ||  ||
|| 170/169 || 10.214 || (2*5*17)/13&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; ||  ||
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|| 256/255 || 6.7759 || (2^8)/(3*5*17) || 255th subharmonic ||
|| 256/255 || 6.7759 || (2^8)/(3*5*17) || 255th subharmonic ||
|| 273/272 || 6.3532 || (3*7*13)/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*17) ||  ||
|| 273/272 || 6.3532 || (3*7*13)/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*17) ||  ||
|| 289/288 || 6.0008 || 17&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;) ||  ||
|| 289/288 || 6.0008 || (17&lt;span style="line-height: 1.5;"&gt;/3)^&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;/2&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;5&lt;/span&gt; ||  ||
|| 375/374 || 4.6228 || (3*5&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(2*11*17) ||  ||
|| 375/374 || 4.6228 || (3*5&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(2*11*17) ||  ||
|| 442/441 || 3.9213 || (2*13*17)/(3*7)&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; ||  ||
|| 442/441 || 3.9213 || (2*13*17)/(3*7)&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt; ||  ||
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|| 1225/1224 || 1.4138 || (5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) ||  ||
|| 1225/1224 || 1.4138 || (5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) ||  ||
|| 1275/1274 || 1.3584 || (3*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17)/(2*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*13) ||  ||
|| 1275/1274 || 1.3584 || (3*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17)/(2*7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*13) ||  ||
|| 1701/1700 || 1.0181 || (3&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*7)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) ||  ||
|| 1701/1700 || 1.0181 || (3&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*7)/[(2*5)&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17] ||  ||
|| 2058/2057 || 0.8414 || (2*3*7&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(11&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) || xenisma ||
|| 2058/2057 || 0.8414 || (2*3*7&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;)/(11&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17) || xenisma ||
|| 2431/2430 || 0.7123 || (11*13*17)/(2*3&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*5) ||  ||
|| 2431/2430 || 0.7123 || (11*13*17)/(2*3&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*5) ||  ||
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|| [[70_69|70/69]] || 24.910 || (2*5*7)/(3*23) ||  ||
|| [[70_69|70/69]] || 24.910 || (2*5*7)/(3*23) ||  ||
|| [[92_91|92/91]] || 18.921 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*23)/(7*13) ||  ||
|| [[92_91|92/91]] || 18.921 || (2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*23)/(7*13) ||  ||
|| 208/207 ||   || 16*13/23*9 ||  ||
|| 115/114 || 15.120 || (5*23)/(2*3*19) ||  ||
|| 576/575 ||   || 64*9/23*25 ||  ||
|| 161/160 || 10.7865 || (7*23)/(2^5*5) ||  ||
|| 162/161 || 10.720 || (2*3^4)/(7*23) ||  ||
|| 208/207 || 8.343 || (16*13)/(23*9) ||  ||
|| 576/575 || 3.008 || (64*9)/(23*25) ||  ||
||||||||~ 29-limit (incomplete) ||
||||||||~ 29-limit (incomplete) ||
|| [[29_28|29/28]] || 60.751 || 29/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*7) ||  ||
|| [[29_28|29/28]] || 60.751 || 29/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*7) ||  ||
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         &lt;td&gt;21.506&lt;br /&gt;
         &lt;td&gt;21.506&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;*5)&lt;br /&gt;
         &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;(&lt;/span&gt;3&lt;span style="line-height: 1.5;"&gt;/&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;2)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;4&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;/&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;syntonic comma, Didymus comma&lt;br /&gt;
         &lt;td&gt;syntonic comma, Didymus comma&lt;br /&gt;
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         &lt;td&gt;34.976&lt;br /&gt;
         &lt;td&gt;34.976&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(2*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)/7&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;&lt;br /&gt;
         &lt;td&gt;2*(5&lt;span style="line-height: 1.5;"&gt;/7)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma&lt;br /&gt;
         &lt;td&gt;septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma&lt;br /&gt;
Line 466: Line 468:
         &lt;td&gt;7.7115&lt;br /&gt;
         &lt;td&gt;7.7115&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(3^2*5^2)/(2^5*7)&lt;br /&gt;
         &lt;td&gt;(3*5)&lt;span style="line-height: 1.5;"&gt;^2/(2^5*7)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;marvel comma, septimal kleisma&lt;br /&gt;
         &lt;td&gt;marvel comma, septimal kleisma&lt;br /&gt;
Line 540: Line 542:
         &lt;td&gt;38.906&lt;br /&gt;
         &lt;td&gt;38.906&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*11)&lt;br /&gt;
         &lt;td&gt;(3&lt;span style="line-height: 15.6000003814697px;"&gt;/&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;2)^&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;2*&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;(&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;5/&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;11)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1/5-tone&lt;br /&gt;
         &lt;td&gt;1/5-tone&lt;br /&gt;
Line 570: Line 572:
         &lt;td&gt;17.576&lt;br /&gt;
         &lt;td&gt;17.576&lt;br /&gt;
&lt;/td&gt;
&lt;/td&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;(3&lt;span style="line-height: 1.5;"&gt;/7)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*(11/2)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small undecimal comma, mothwellsma&lt;br /&gt;
         &lt;td&gt;small undecimal comma, mothwellsma&lt;br /&gt;
Line 580: Line 582:
         &lt;td&gt;17.399&lt;br /&gt;
         &lt;td&gt;17.399&lt;br /&gt;
&lt;/td&gt;
&lt;/td&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;(2&lt;span style="line-height: 1.5;"&gt;*5/3)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;/11)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ptolemy's comma, ptolemisma&lt;br /&gt;
         &lt;td&gt;Ptolemy's comma, ptolemisma&lt;br /&gt;
Line 630: Line 632:
         &lt;td&gt;3.9302&lt;br /&gt;
         &lt;td&gt;3.9302&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(3^2*7^2)/(2^3*5*11)&lt;br /&gt;
         &lt;td&gt;(3*7)^2/(2^3*5*11)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Werckmeister's undecimal septenarian schisma, werckisma&lt;br /&gt;
         &lt;td&gt;Werckmeister's undecimal septenarian schisma, werckisma&lt;br /&gt;
Line 640: Line 642:
         &lt;td&gt;3.2090&lt;br /&gt;
         &lt;td&gt;3.2090&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(2^2*3^3*5)/(7^2*11)&lt;br /&gt;
         &lt;td&gt;(2/7)^2*3^3*5/11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Swets' comma, swetisma&lt;br /&gt;
         &lt;td&gt;Swets' comma, swetisma&lt;br /&gt;
Line 650: Line 652:
         &lt;td&gt;0.57240&lt;br /&gt;
         &lt;td&gt;0.57240&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(5^2*11^2)/(2^4*3^3*7)&lt;br /&gt;
         &lt;td&gt;(5*11)^2/(2^4*3^3*7)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Lehmerisma&lt;br /&gt;
         &lt;td&gt;Lehmerisma&lt;br /&gt;
Line 660: Line 662:
         &lt;td&gt;0.17665&lt;br /&gt;
         &lt;td&gt;0.17665&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(3^4*11^2)/(2^3*5^2*7^2)&lt;br /&gt;
         &lt;td&gt;&lt;span style="line-height: 1.5;"&gt;[11/(5*7)]&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;^2*&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;3^4/2^3&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Gauss comma, kalisma&lt;br /&gt;
         &lt;td&gt;Gauss comma, kalisma&lt;br /&gt;
Line 764: Line 766:
         &lt;td&gt;16.567&lt;br /&gt;
         &lt;td&gt;16.567&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;(3*5*7)/(2^3*13)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small tridecimal comma, animist comma&lt;br /&gt;
         &lt;td&gt;small tridecimal comma, animist comma&lt;br /&gt;
Line 774: Line 776:
         &lt;td&gt;12.064&lt;br /&gt;
         &lt;td&gt;12.064&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;(&lt;span style="line-height: 1.5;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*3)^2/(11*13)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;grossma&lt;br /&gt;
         &lt;td&gt;grossma&lt;br /&gt;
Line 784: Line 786:
         &lt;td&gt;10.274&lt;br /&gt;
         &lt;td&gt;10.274&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;13&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*3*7)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;buzurgisma, dhanvantarisma&lt;br /&gt;
         &lt;td&gt;buzurgisma, dhanvantarisma&lt;br /&gt;
Line 794: Line 796:
         &lt;td&gt;8.8554&lt;br /&gt;
         &lt;td&gt;8.8554&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;(2*7)^2/(3*5*13)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mynucuma&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;a class="wiki_link" href="/325_324"&gt;325/324&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5.3351&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;marveltwin comma&lt;br /&gt;
         &lt;td&gt;marveltwin comma&lt;br /&gt;
Line 814: Line 806:
         &lt;td&gt;4.9393&lt;br /&gt;
         &lt;td&gt;4.9393&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;(3/5)^2*13/(2*7)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;ratwolfsma&lt;br /&gt;
         &lt;td&gt;ratwolfsma&lt;br /&gt;
Line 824: Line 816:
         &lt;td&gt;4.9253&lt;br /&gt;
         &lt;td&gt;4.9253&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;(&lt;span style="line-height: 1.5;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;5&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*11)/(&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;3^&lt;/span&gt;2&lt;span style="line-height: 15.6000003814697px;"&gt;*13)&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;minthma&lt;br /&gt;
         &lt;td&gt;minthma&lt;br /&gt;
Line 834: Line 826:
         &lt;td&gt;4.7627&lt;br /&gt;
         &lt;td&gt;4.7627&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;(2/11)^2*7*13/3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;gentle comma&lt;br /&gt;
         &lt;td&gt;gentle comma&lt;br /&gt;
Line 1,038: Line 1,030:
         &lt;td&gt;12.777&lt;br /&gt;
         &lt;td&gt;12.777&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*17)/(3&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;*5)&lt;br /&gt;
         &lt;td&gt;(2/&lt;span style="line-height: 1.5;"&gt;3)&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;3&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;*17/5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 1,098: Line 1,090:
         &lt;td&gt;6.0008&lt;br /&gt;
         &lt;td&gt;6.0008&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;17&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;/(2&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*3&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;)&lt;br /&gt;
         &lt;td&gt;(17&lt;span style="line-height: 1.5;"&gt;/3)^&lt;/span&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;2&lt;/span&gt;&lt;span style="line-height: 1.5;"&gt;/2&lt;/span&gt;&lt;span style="line-height: 1.5; vertical-align: super;"&gt;5&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 1,218: Line 1,210:
         &lt;td&gt;1.0181&lt;br /&gt;
         &lt;td&gt;1.0181&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(3&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*7)/(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*5&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17)&lt;br /&gt;
         &lt;td&gt;(3&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;*7)/[(2*5)&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*17]&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 1,607: Line 1,599:
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*23)/(7*13)&lt;br /&gt;
         &lt;td&gt;(2&lt;span style="vertical-align: super;"&gt;2&lt;/span&gt;*23)/(7*13)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;115/114&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15.120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(5*23)/(2*3*19)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;161/160&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10.7865&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(7*23)/(2^5*5)&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;162/161&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10.720&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;(2*3^4)/(7*23)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 1,614: Line 1,636:
         &lt;td&gt;208/207&lt;br /&gt;
         &lt;td&gt;208/207&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;8.343&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;16*13/23*9&lt;br /&gt;
         &lt;td&gt;(16*13)/(23*9)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Line 1,624: Line 1,646:
         &lt;td&gt;576/575&lt;br /&gt;
         &lt;td&gt;576/575&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;3.008&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;64*9/23*25&lt;br /&gt;
         &lt;td&gt;(64*9)/(23*25)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"