Gallery of just intervals

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[[toc|flat]]
----
=Introduction= 

In [[JustIntonation|Just Intonation]], a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.

What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it.

This page lists links to dedicated pages for each interval. Wiki page names are formatted "n_d" (where n is the numerator and d is the denominator of the interval) because both colons and slashes cannot be part of page names on wikispaces, but the links as they appear on the page are in the form n/d.

----

=Gallery of Just Intervals= 

See also [[List of Superparticular Intervals]] and [[http://www.huygens-fokker.org/docs/intervals.html|List of intervals (Huygens-Fokker foundation)]]

||~ frequency ratio ||~ cents value
(six decimal places) ||~ some common names ||
|| [[1_1|1/1]] || 0 || unison, unity, perfect prime, tonic ||
|| [[32805_32768|32805/32768]] || 1.95372 || schisma ||
|| [[100_99|100/99]] || 17.399484 || Ptolemy's comma ||
|| [[99_98|99/98]] || 17.576131 || Mothwellsma ||
|| [[81_80|81/80]] || 21.506286 || syntonic comma, Didymus comma ||
|| [[531441_524288|531441/524288]] || 23.46001 || Pythagorean comma, ditonic comma ||
|| [[66_65|66/65]] || 26.431568 || winmeanma ||
|| [[65_64|65/64]] || 26.841376 || wilsorma, 13th-partial chroma ||
|| [[64_63|64/63]] || 27.264092 || septimal comma, Archytas' comma ||
|| [[3125_3072|3125/3072]] || 29.613568 || magic comma, small diesis ||
|| [[50_49|50/49]] || 34.975615 || septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis ||
|| [[49_48|49/48]] || 35.696812 || large septimal diesis, slendro diesis ||
|| [[45_44|45/44]] || 38.905773 || undecimal 1/5th tone ||
|| [[128_125|128/125]] || 41.058858 || Diesis, minor diesis, augmented comma, enharmonic comma ||
|| [[525_512|525/512]] || 43.408335 || Avicenna's enharmonic diesis ||
|| [[36_35|36/35]] || 48.770381 || septimal quarter tone ||
|| [[250_243|250/243]] || 49.166137 || Porcupine comma ||
|| [[59049_57344|59049/57344]] || 50.724102 || Harrison's comma ||
|| [[100_97|100/97]] || 52.732017 || shrutar quarter tone ||
|| [[33_32|33/32]] || 53.272943 || undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic ||
|| [[648_625]] || 62.565148 || diminished comma, major diesis ||
|| [[28_27|28/27]] || 62.960904 || septimal chroma, small septimal chromatic semitone, septimal subminor second ||
|| [[25_24|25/24]] || 70.672427 || chroma, chromatic semitone, Zarlinian semitone ||
|| [[68_65|68/65]] || 78.114034 || valentine semitone ||
|| [[22_21|22/21]] || 80.537035 || undecimal minor semitone ||
|| [[64_61|64/61]] || 83.115195 || harry minor semitone ||
|| [[21_20|21/20]] || 84.467193 || minor semitone, large septimal chromatic semitone ||
|| [[256_243|256/243]] || 90.224996 || Pythagorean limma, Pythagorean minor second ||
|| [[135_128|135/128]] || 92.178716 || major limma ||
|| [[18_17|18/17]] || 98.954592 || small septendecimal semitone, Arabic lute index finger ||
|| [[17_16|17/16]] || 104.95541 || large septendecimal semitone, octave-reduced 17th harmonic ||
|| [[16_15|16/15]] || 111.731285 || diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||
|| [[2187_2048|2187/2048]] || 113.685006 || apotome ||
|| [[77_72|77/72]] || 116.233847 || undecimal secor ||
|| [[15_14|15/14]] || 119.442808 || septimal diatonic semitone ||
|| [[14_13|14/13]] || 128.298245 || 2/3-tone, trienthird, tridecimal supraminor second ||
|| [[27_25|27/25]] || 133.237575 || large limma ||
|| [[13_12|13/12]] || 138.572661 || tridecimal subtone, tridecimal 2/3-tone ||
|| [[243_224|243/224]] || 140.949098 || septimal subtone ||
|| [[88_81|88/81]] || 143.497939 || undecimal subtone ||
|| [[49_45|49/45]] || 147.428097 || swetismic neutral second ||
|| [[12_11|12/11]] || 150.637059 || small undecimal neutral second, 3/4-tone ||
|| [[35_32|35/32]] || 155.13962 || septimal neutral second ||
|| [[78_71|78/71]] || 162.786119 || porcupine neutral second ||
|| [[11_10|11/10]] || 165.004228 || large undecimal neutral second, 4/5-tone, Ptolemy's second ||
|| [[54_49|54/49]] || 168.21319 || Zalzal's mujannab ||
|| [[10_9|10/9]] || 182.403712 || minor whole tone ||
|| [[49_44|49/44]] || 186.333871 || werckismic minor second ||
|| [[xenharmonic/19_17|19/17]] || 192.5576 || quasi-meantone ||
|| [[28_25|28/25]] || 196.198479 || middle major second ||
|| [[55_49|55/49]] || 199.979843 || werckismic tone ||
|| [[9_8|9/8]] || 203.910002 || major whole tone, Pythagorean tone, octave-reduced 9th harmonic ||
|| [[17_15|17/15]] || 216.686695 || septendecimal whole tone, septendecimal eventone ||
|| [[8_7|8/7]] || 231.174094 || supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic ||
|| [[63_55|63/55]] || 235.104252 || werckismic supermajor second ||
|| [[55_48|55/48]] || 235.676655 || keenanismic supermajor second ||
|| [[15_13|15/13]] || 247.741053 || semifourth, tridecimal ultramajor second, tridecimal inframinor third ||
|| [[22_19|22/19]] || 253.804926 || minimal minor third, godzilla third ||
|| [[64_55|64/55]] || 262.368344 || keenanismic subminor third, octave-reduced 55th subharmonic ||
|| [[7_6|7/6]] || 266.870906 || subminor third, septimal minor third, augmented second ||
|| [[90_77|90/77]] || 270.079867 || swetismic subminor third ||
|| [[62_53|62/53]] || 271.531027 || orwell subminor third ||
|| [[75_64|75/64]] || 274.582429 || classic augmented second ||
|| [[20_17|20/17]] || 281.358304 || septendecimal augmented second, septendecimal minor third ||
|| [[13_11|13/11]] || 289.209179 || tridecimal minor third ||
|| [[32_27|32/27]] || 294.134997 || Pythagorean minor third, octave-reduced 27th subharmonic ||
|| [[19_16|19/16]] || 297.513016 || otonal minor third, octave-reduced 19th harmonic ||
|| [[25_21|25/21]] || 301.84652 || quasi-tempered minor third ||
|| [[61_51|61/51]] || 309.974395 || myna third ||
|| [[6_5|6/5]] || 315.641287 || minor third, pental minor third ||
|| [[77_64|77/64]] || 320.143849 || keenanismic minor third, octave-reduced 77th harmonic ||
|| 135/112 || 323.3528 || large septimal minor third, marvelous minor third ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
|| [[17_14|17/14]] || 336.129503 || septendecimal supraminor third ||
|| [[73_60|73/60]] || 339.520756 || amity supraminor third ||
|| [[11_9|11/9]] || 347.40794 || undecimal neutral third ||
|| [[60_49|60/49]] || 350.616902 || smaller septimal neutral third ||
|| [[49_40|49/40]] || 351.338099 || larger septimal neutral third ||
|| [[27_22|27/22]] || 354.547060 || rastmic neutral third ||
|| [[16_13|16/13]] || 359.472338 || tridecimal neutral third ||
|| [[xenharmonic/21_17|21/17]] || 365.8255 || septendecimal submajor third ||
|| [[56_45|56/45]] || 378.602191 || narrow perde segah, marvelous major third ||
|| [[71_57|71/57]] || 380.228526 || witchcraft major third ||
|| [[76_61|76/61]] || 380.628211 || magic major third ||
|| [[96_77|96/77]] || 381.811152 || undecimal perde segah, keenanismic major third ||
|| [[5_4|5/4]] || 386.313714 || major third, octave-reduced 5th harmonic, pental major third ||
|| [[81_64|81/64]] || 407.820003 || Pythagorean major third, octave-reduced 81st harmonic ||
|| [[80_63|80/63]] || 413.577806 || werckismic sharp major third ||
|| [[14_11|14/11]] || 417.507964 || undecimal major third, undecimal diminished fourth ||
|| [[32_25|32/25]] || 427.372572 || classic diminished fourth ||
|| [[77_60|77/60]] || 431.875134 || swetismic supermajor third ||
|| [[9_7|9/7]] || 435.084095 || supermajor third, septimal major third, diminished fourth ||
|| [[31_24|31/24]] || 443.080572 || sensi supermajor third ||
|| [[22_17|22/17]] || 446.362533 || septendecimal supermajor third ||
|| [[35_27|35/27]] || 449.274618 || semi-diminished fourth ||
|| [[13_10|13/10]] || 454.213948 || Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third ||
|| [[64_49|64/49]] || 462.348187 || septatonic major third ||
|| [[17_13|17/13]] || 464.427748 || septendecimal sub-fourth ||
|| [[21_16|21/16]] || 470.780907 || sub-fourth, narrow fourth, augmented third, octave-reduced 21st harmonic ||
|| 33/25 || <span style="background-color: #ffffff;">480.645516</span> || "5-EDO"-esque fourth ||
|| 117/88 || 493.1197 || tridecimal gentle fourth (2.3.11.13) ||
|| [[4_3|4/3]] || 498.044999 || just perfect fourth, octave-reduced 3rd subharmonic, diatessaron ||
|| [[75_56|75/56]] || 505.756522 || marvelous fourth ||
|| [[27_20|27/20]] || 519.551289 || acute fourth ||
|| [[xenharmonic/19_14|19/14]] || 528.6871 || 19-limit wide fourth ||
|| [[49_36|49/36]] || 533.741811 || Arabic lute acute fourth ||
|| [[15_11|15/11]] || 536.950772 || undecimal augmented fourth, subaugmented fourth ||
|| [[48_35|48/35]] || 546.815381 || septimal super-fourth ||
|| [[11_8|11/8]] || 551.317942 || super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa ||
|| [[18_13|18/13]] || 563.38234 || tridecimal augmented fourth ||
|| [[25_18|25/18]] || 568.717426 || classic augmented fourth, pental augmented fourth ||
|| [[88_63|88/63]] || 578.582034 || werckismic augmented fourth ||
|| [[7_5|7/5]] || 582.512193 || augmented fourth, septimal tritone, Huygen's tritone ||
|| [[108_77|108/77]] || 585.721154 || swetismic augmented fourth ||
|| [[24_17|24/17]] || 596.999591 || smaller septendecimal tritone ||
|| [[17_12|17/12]] || 603.000409 || larger septendecimal tritone ||
|| [[10_7|10/7]] || 617.487807 || diminished fifth, Euler's tritone, superaugmented fourth ||
|| [[xenharmonic/23_16|23/16]] || 628.2743 || 23-limit superaugmented fourth, octave-reduced 23rd harmonic ||
|| [[36_25|36/25]] || 631.282574 || pental diminished fifth, classic diminshed fifth ||
|| [[13_9|13/9]] || 636.61766 || tridecimal diminished fifth ||
|| [[16_11|16/11]] || 648.682058 || sub-fifth, octave-reduced 11th subharmonic ||
|| [[35_24|35/24]] || 653.184619 || septimal sub-fifth ||
|| [[22_15|22/15]] || 663.049228 || undecimal diminished fifth, semidiminished fifth ||
|| [[72_49|72/49]] || 666.258889 || septimal catafifth ||
|| [[81_55|81/55]] || 670.188347 || undecimal catafifth ||
|| [[40_27|40/27]] || 680.448711 || grave fifth ||
|| [[112_75|112/75]] || 694.243478 || marvelous fifth ||
|| [[Just perfect fifth|3/2]] || 701.955001 || [[perfect fifth|just perfect fifth]], octave-reduced 3rd harmonic, diapente ||
|| [[xenharmonic/182_121|182/121]] || <span style="line-height: 1.5;">706.7177</span> || tridecimal gentle fifth (2.7.11.13) ||
|| 176/117 || <span style="line-height: 1.5;">706.8803</span> || tridecimal gentle fifth (2.3.11.13) ||
|| 50/33 || <span style="background-color: #ffffff;">719.354484</span> || "5-EDO"-esque fifth ||
|| [[32_21|32/21]] || 729.219093 || super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic ||
|| [[26_17|26/17]] || 735.572252 || septendecimal super-fifth ||
|| [[49_32|49/32]] || 737.651813 || superduper fifth, octave-reduced 49th harmonic ||
|| [[20_13|20/13]] || 745.786052 || Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth ||
|| [[17_11|17/11]] || 753.637467 || septendecimal subminor sixth ||
|| [[14_9|14/9]] || 764.915905 || subminor sixth, septimal minor sixth, augmented fifth ||
|| [[25_16|25/16]] || 772.627428 || pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic ||
|| [[11_7|11/7]] || 782.492036 || undecimal subminor sixth, undecimal augmented fifth ||
|| [[8_5|8/5]] || 813.686286 || minor sixth, octave-reduced 5th subharmonic ||
|| [[13_8|13/8]] || 840.527662 || tridecimal neutral sixth, octave-reduced 13th harmonic ||
|| [[80_49|80/49]] || 848.661901 ||   ||
|| [[49_30|49/30]] || 849.383198 ||   ||
|| [[18_11|18/11]] || 852.59216 || undecimal neutral sixth ||
|| [[28_17|28/17]] || 863.870497 || septendecimal submajor sixth ||
|| [[5_3|5/3]] || 884.358713 || major sixth ||
|| [[42_25|42/25]] || 898.15348 ||   ||
|| [[27_16|27/16]] || 905.865003 || Pythagorean major sixth, octave-reduced 27th harmonic ||
|| [[22_13|22/13]] || 910.790821 || tridecimal major sixth ||
|| [[17_10|17/10]] || 918.641696 || septendecimal diminished seventh, septendecimal major sixth ||
|| [[12_7|12/7]] || 933.129094 || supermajor sixth, septimal major sixth, diminished seventh ||
|| [[26_15|26/15]] || 952.258947 || semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth ||
|| [[7_4|7/4]] || 968.825906 || subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic ||
|| [[225_128|225/128]] || 976.537429 || marvel five-limit harmonic seventh, octave-reduced 225th harmonic ||
|| [[30_17|30/17]] || 983.313305 || septendecimal minor seventh ||
|| [[16_9|16/9]] || 996.089998 || Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic ||
|| [[25_14|25/14]] || 1003.801521 ||   ||
|| [[9_5|9/5]] || 1017.596288 || minor seventh, large minor seventh ||
|| [[xenharmonic/29_16|29/16]] || 1029.5772 || 29-limit large minor seventh, octave-reduced 29th harmonic ||
|| [[20_11|20/11]] || 1034.995772 || undecimal minor seventh, small undecimal neutral seventh ||
|| [[64_35|64/35]] || 1044.86038 ||   ||
|| [[11_6|11/6]] || 1049.362941 || undecimal neutral seventh, 21/4-tone ||
|| [[24_13|24/13]] || 1061.427339 || tridecimal neutral seventh ||
|| [[13_7|13/7]] || 1071.701755 || 16/3-tone, tridecimal submajor seventh ||
|| [[28_15|28/15]] || 1080.557192 || grave major seventh ||
|| [[15_8|15/8]] || 1088.268715 || major seventh, just major seventh, octave-reduced 15th harmonic ||
|| [[32_17|32/17]] || 1095.04459 || small septendecimal major seventh, octave-reduced 17th subharmonic ||
|| [[17_9|17/9]] || 1101.045408 || large septendecimal major seventh ||
|| [[243_128|243/128]] || 1109.775004 || Pythagorean major seventh, octave-reduced 243rd harmonic ||
|| [[40_21|40/21]] || 1115.532907 || acute major seventh ||
|| [[61_32|61/32]] || 1116.884905 || octave-reduced 61st harmonic ||
|| [[48_25|48/25]] || 1129.327573 ||   ||
|| [[xenharmonic/31_16|31/16]] || 1145.0356 || 31-limit ultramajor seventh, octave-reduced 31st harmonic ||
|| [[64_33|64/33]] || 1146.727057 || octave-reduced 33rd subharmonic ||
|| [[35_18|35/18]] || 1151.239619 ||   ||
|| [[96_49|96/49]] || 1164.303188 ||   ||
|| [[49_25|49/25]] || 1165.024385 ||   ||
|| [[160_81|160/81]] || 1178.493814 || octave minus syntonic comma ||
|| [[Octave|2/1]] || 1200 || [[octave]], [[http://en.wikipedia.org/wiki/Diapason|diapason]] ||

=Links= 
[[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt|Regions of the Interval Spectrum]] by Margo Schulter [[http://www.webcitation.org/5xeoz4zmC|Permalink]]
[[http://www.huygens-fokker.org/docs/intervals.html|Manuel Op de Coul interval list]]
[[http://www.kylegann.com/Octave.html|Anantomy of an Octave]] by Kyle Gann
<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span>

Original HTML content:

<html><head><title>Gallery of Just Intervals</title></head><body><!-- ws:start:WikiTextTocRule:6:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Introduction">Introduction</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Gallery of Just Intervals">Gallery of Just Intervals</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: -->
<!-- ws:end:WikiTextTocRule:10 --><hr />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Introduction"></a><!-- ws:end:WikiTextHeadingRule:0 -->Introduction</h1>
 <br />
In <a class="wiki_link" href="/JustIntonation">Just Intonation</a>, a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a &quot;fusing&quot; quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what &quot;consonance&quot; means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of &quot;consonance versus dissonance.&quot; Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: &quot;5/3&quot; or &quot;21/16&quot; or what have you.<br />
<br />
What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it.<br />
<br />
This page lists links to dedicated pages for each interval. Wiki page names are formatted &quot;n_d&quot; (where n is the numerator and d is the denominator of the interval) because both colons and slashes cannot be part of page names on wikispaces, but the links as they appear on the page are in the form n/d.<br />
<br />
<hr />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Gallery of Just Intervals"></a><!-- ws:end:WikiTextHeadingRule:2 -->Gallery of Just Intervals</h1>
 <br />
See also <a class="wiki_link" href="/List%20of%20Superparticular%20Intervals">List of Superparticular Intervals</a> and <a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/intervals.html" rel="nofollow">List of intervals (Huygens-Fokker foundation)</a><br />
<br />


<table class="wiki_table">
    <tr>
        <th>frequency ratio<br />
</th>
        <th>cents value<br />
(six decimal places)<br />
</th>
        <th>some common names<br />
</th>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/1_1">1/1</a><br />
</td>
        <td>0<br />
</td>
        <td>unison, unity, perfect prime, tonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32805_32768">32805/32768</a><br />
</td>
        <td>1.95372<br />
</td>
        <td>schisma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/100_99">100/99</a><br />
</td>
        <td>17.399484<br />
</td>
        <td>Ptolemy's comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/99_98">99/98</a><br />
</td>
        <td>17.576131<br />
</td>
        <td>Mothwellsma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/81_80">81/80</a><br />
</td>
        <td>21.506286<br />
</td>
        <td>syntonic comma, Didymus comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/531441_524288">531441/524288</a><br />
</td>
        <td>23.46001<br />
</td>
        <td>Pythagorean comma, ditonic comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/66_65">66/65</a><br />
</td>
        <td>26.431568<br />
</td>
        <td>winmeanma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/65_64">65/64</a><br />
</td>
        <td>26.841376<br />
</td>
        <td>wilsorma, 13th-partial chroma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/64_63">64/63</a><br />
</td>
        <td>27.264092<br />
</td>
        <td>septimal comma, Archytas' comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/3125_3072">3125/3072</a><br />
</td>
        <td>29.613568<br />
</td>
        <td>magic comma, small diesis<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/50_49">50/49</a><br />
</td>
        <td>34.975615<br />
</td>
        <td>septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_48">49/48</a><br />
</td>
        <td>35.696812<br />
</td>
        <td>large septimal diesis, slendro diesis<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/45_44">45/44</a><br />
</td>
        <td>38.905773<br />
</td>
        <td>undecimal 1/5th tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/128_125">128/125</a><br />
</td>
        <td>41.058858<br />
</td>
        <td>Diesis, minor diesis, augmented comma, enharmonic comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/525_512">525/512</a><br />
</td>
        <td>43.408335<br />
</td>
        <td>Avicenna's enharmonic diesis<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/36_35">36/35</a><br />
</td>
        <td>48.770381<br />
</td>
        <td>septimal quarter tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/250_243">250/243</a><br />
</td>
        <td>49.166137<br />
</td>
        <td>Porcupine comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/59049_57344">59049/57344</a><br />
</td>
        <td>50.724102<br />
</td>
        <td>Harrison's comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/100_97">100/97</a><br />
</td>
        <td>52.732017<br />
</td>
        <td>shrutar quarter tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/33_32">33/32</a><br />
</td>
        <td>53.272943<br />
</td>
        <td>undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/648_625">648_625</a><br />
</td>
        <td>62.565148<br />
</td>
        <td>diminished comma, major diesis<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_27">28/27</a><br />
</td>
        <td>62.960904<br />
</td>
        <td>septimal chroma, small septimal chromatic semitone, septimal subminor second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/25_24">25/24</a><br />
</td>
        <td>70.672427<br />
</td>
        <td>chroma, chromatic semitone, Zarlinian semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/68_65">68/65</a><br />
</td>
        <td>78.114034<br />
</td>
        <td>valentine semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/22_21">22/21</a><br />
</td>
        <td>80.537035<br />
</td>
        <td>undecimal minor semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/64_61">64/61</a><br />
</td>
        <td>83.115195<br />
</td>
        <td>harry minor semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/21_20">21/20</a><br />
</td>
        <td>84.467193<br />
</td>
        <td>minor semitone, large septimal chromatic semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/256_243">256/243</a><br />
</td>
        <td>90.224996<br />
</td>
        <td>Pythagorean limma, Pythagorean minor second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/135_128">135/128</a><br />
</td>
        <td>92.178716<br />
</td>
        <td>major limma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/18_17">18/17</a><br />
</td>
        <td>98.954592<br />
</td>
        <td>small septendecimal semitone, Arabic lute index finger<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_16">17/16</a><br />
</td>
        <td>104.95541<br />
</td>
        <td>large septendecimal semitone, octave-reduced 17th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/16_15">16/15</a><br />
</td>
        <td>111.731285<br />
</td>
        <td>diatonic semitone, classic minor second, octave-reduced 15th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/2187_2048">2187/2048</a><br />
</td>
        <td>113.685006<br />
</td>
        <td>apotome<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/77_72">77/72</a><br />
</td>
        <td>116.233847<br />
</td>
        <td>undecimal secor<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/15_14">15/14</a><br />
</td>
        <td>119.442808<br />
</td>
        <td>septimal diatonic semitone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/14_13">14/13</a><br />
</td>
        <td>128.298245<br />
</td>
        <td>2/3-tone, trienthird, tridecimal supraminor second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/27_25">27/25</a><br />
</td>
        <td>133.237575<br />
</td>
        <td>large limma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/13_12">13/12</a><br />
</td>
        <td>138.572661<br />
</td>
        <td>tridecimal subtone, tridecimal 2/3-tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/243_224">243/224</a><br />
</td>
        <td>140.949098<br />
</td>
        <td>septimal subtone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/88_81">88/81</a><br />
</td>
        <td>143.497939<br />
</td>
        <td>undecimal subtone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_45">49/45</a><br />
</td>
        <td>147.428097<br />
</td>
        <td>swetismic neutral second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/12_11">12/11</a><br />
</td>
        <td>150.637059<br />
</td>
        <td>small undecimal neutral second, 3/4-tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/35_32">35/32</a><br />
</td>
        <td>155.13962<br />
</td>
        <td>septimal neutral second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/78_71">78/71</a><br />
</td>
        <td>162.786119<br />
</td>
        <td>porcupine neutral second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/11_10">11/10</a><br />
</td>
        <td>165.004228<br />
</td>
        <td>large undecimal neutral second, 4/5-tone, Ptolemy's second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/54_49">54/49</a><br />
</td>
        <td>168.21319<br />
</td>
        <td>Zalzal's mujannab<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/10_9">10/9</a><br />
</td>
        <td>182.403712<br />
</td>
        <td>minor whole tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_44">49/44</a><br />
</td>
        <td>186.333871<br />
</td>
        <td>werckismic minor second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/19_17">19/17</a><br />
</td>
        <td>192.5576<br />
</td>
        <td>quasi-meantone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_25">28/25</a><br />
</td>
        <td>196.198479<br />
</td>
        <td>middle major second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/55_49">55/49</a><br />
</td>
        <td>199.979843<br />
</td>
        <td>werckismic tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/9_8">9/8</a><br />
</td>
        <td>203.910002<br />
</td>
        <td>major whole tone, Pythagorean tone, octave-reduced 9th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_15">17/15</a><br />
</td>
        <td>216.686695<br />
</td>
        <td>septendecimal whole tone, septendecimal eventone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/8_7">8/7</a><br />
</td>
        <td>231.174094<br />
</td>
        <td>supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/63_55">63/55</a><br />
</td>
        <td>235.104252<br />
</td>
        <td>werckismic supermajor second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/55_48">55/48</a><br />
</td>
        <td>235.676655<br />
</td>
        <td>keenanismic supermajor second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/15_13">15/13</a><br />
</td>
        <td>247.741053<br />
</td>
        <td>semifourth, tridecimal ultramajor second, tridecimal inframinor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/22_19">22/19</a><br />
</td>
        <td>253.804926<br />
</td>
        <td>minimal minor third, godzilla third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/64_55">64/55</a><br />
</td>
        <td>262.368344<br />
</td>
        <td>keenanismic subminor third, octave-reduced 55th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/7_6">7/6</a><br />
</td>
        <td>266.870906<br />
</td>
        <td>subminor third, septimal minor third, augmented second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/90_77">90/77</a><br />
</td>
        <td>270.079867<br />
</td>
        <td>swetismic subminor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/62_53">62/53</a><br />
</td>
        <td>271.531027<br />
</td>
        <td>orwell subminor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/75_64">75/64</a><br />
</td>
        <td>274.582429<br />
</td>
        <td>classic augmented second<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/20_17">20/17</a><br />
</td>
        <td>281.358304<br />
</td>
        <td>septendecimal augmented second, septendecimal minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/13_11">13/11</a><br />
</td>
        <td>289.209179<br />
</td>
        <td>tridecimal minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32_27">32/27</a><br />
</td>
        <td>294.134997<br />
</td>
        <td>Pythagorean minor third, octave-reduced 27th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/19_16">19/16</a><br />
</td>
        <td>297.513016<br />
</td>
        <td>otonal minor third, octave-reduced 19th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/25_21">25/21</a><br />
</td>
        <td>301.84652<br />
</td>
        <td>quasi-tempered minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/61_51">61/51</a><br />
</td>
        <td>309.974395<br />
</td>
        <td>myna third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/6_5">6/5</a><br />
</td>
        <td>315.641287<br />
</td>
        <td>minor third, pental minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/77_64">77/64</a><br />
</td>
        <td>320.143849<br />
</td>
        <td>keenanismic minor third, octave-reduced 77th harmonic<br />
</td>
    </tr>
    <tr>
        <td>135/112<br />
</td>
        <td>323.3528<br />
</td>
        <td>large septimal minor third, marvelous minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/35_29">35/29</a><br />
</td>
        <td>325.562426<br />
</td>
        <td>doublewide minor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_14">17/14</a><br />
</td>
        <td>336.129503<br />
</td>
        <td>septendecimal supraminor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/73_60">73/60</a><br />
</td>
        <td>339.520756<br />
</td>
        <td>amity supraminor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/11_9">11/9</a><br />
</td>
        <td>347.40794<br />
</td>
        <td>undecimal neutral third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/60_49">60/49</a><br />
</td>
        <td>350.616902<br />
</td>
        <td>smaller septimal neutral third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_40">49/40</a><br />
</td>
        <td>351.338099<br />
</td>
        <td>larger septimal neutral third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/27_22">27/22</a><br />
</td>
        <td>354.547060<br />
</td>
        <td>rastmic neutral third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/16_13">16/13</a><br />
</td>
        <td>359.472338<br />
</td>
        <td>tridecimal neutral third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/21_17">21/17</a><br />
</td>
        <td>365.8255<br />
</td>
        <td>septendecimal submajor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/56_45">56/45</a><br />
</td>
        <td>378.602191<br />
</td>
        <td>narrow perde segah, marvelous major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/71_57">71/57</a><br />
</td>
        <td>380.228526<br />
</td>
        <td>witchcraft major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/76_61">76/61</a><br />
</td>
        <td>380.628211<br />
</td>
        <td>magic major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/96_77">96/77</a><br />
</td>
        <td>381.811152<br />
</td>
        <td>undecimal perde segah, keenanismic major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/5_4">5/4</a><br />
</td>
        <td>386.313714<br />
</td>
        <td>major third, octave-reduced 5th harmonic, pental major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/81_64">81/64</a><br />
</td>
        <td>407.820003<br />
</td>
        <td>Pythagorean major third, octave-reduced 81st harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/80_63">80/63</a><br />
</td>
        <td>413.577806<br />
</td>
        <td>werckismic sharp major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/14_11">14/11</a><br />
</td>
        <td>417.507964<br />
</td>
        <td>undecimal major third, undecimal diminished fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32_25">32/25</a><br />
</td>
        <td>427.372572<br />
</td>
        <td>classic diminished fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/77_60">77/60</a><br />
</td>
        <td>431.875134<br />
</td>
        <td>swetismic supermajor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/9_7">9/7</a><br />
</td>
        <td>435.084095<br />
</td>
        <td>supermajor third, septimal major third, diminished fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/31_24">31/24</a><br />
</td>
        <td>443.080572<br />
</td>
        <td>sensi supermajor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/22_17">22/17</a><br />
</td>
        <td>446.362533<br />
</td>
        <td>septendecimal supermajor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/35_27">35/27</a><br />
</td>
        <td>449.274618<br />
</td>
        <td>semi-diminished fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/13_10">13/10</a><br />
</td>
        <td>454.213948<br />
</td>
        <td>Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/64_49">64/49</a><br />
</td>
        <td>462.348187<br />
</td>
        <td>septatonic major third<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_13">17/13</a><br />
</td>
        <td>464.427748<br />
</td>
        <td>septendecimal sub-fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/21_16">21/16</a><br />
</td>
        <td>470.780907<br />
</td>
        <td>sub-fourth, narrow fourth, augmented third, octave-reduced 21st harmonic<br />
</td>
    </tr>
    <tr>
        <td>33/25<br />
</td>
        <td><span style="background-color: #ffffff;">480.645516</span><br />
</td>
        <td>&quot;5-EDO&quot;-esque fourth<br />
</td>
    </tr>
    <tr>
        <td>117/88<br />
</td>
        <td>493.1197<br />
</td>
        <td>tridecimal gentle fourth (2.3.11.13)<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/4_3">4/3</a><br />
</td>
        <td>498.044999<br />
</td>
        <td>just perfect fourth, octave-reduced 3rd subharmonic, diatessaron<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/75_56">75/56</a><br />
</td>
        <td>505.756522<br />
</td>
        <td>marvelous fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/27_20">27/20</a><br />
</td>
        <td>519.551289<br />
</td>
        <td>acute fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/19_14">19/14</a><br />
</td>
        <td>528.6871<br />
</td>
        <td>19-limit wide fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_36">49/36</a><br />
</td>
        <td>533.741811<br />
</td>
        <td>Arabic lute acute fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/15_11">15/11</a><br />
</td>
        <td>536.950772<br />
</td>
        <td>undecimal augmented fourth, subaugmented fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/48_35">48/35</a><br />
</td>
        <td>546.815381<br />
</td>
        <td>septimal super-fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/11_8">11/8</a><br />
</td>
        <td>551.317942<br />
</td>
        <td>super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/18_13">18/13</a><br />
</td>
        <td>563.38234<br />
</td>
        <td>tridecimal augmented fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/25_18">25/18</a><br />
</td>
        <td>568.717426<br />
</td>
        <td>classic augmented fourth, pental augmented fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/88_63">88/63</a><br />
</td>
        <td>578.582034<br />
</td>
        <td>werckismic augmented fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/7_5">7/5</a><br />
</td>
        <td>582.512193<br />
</td>
        <td>augmented fourth, septimal tritone, Huygen's tritone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/108_77">108/77</a><br />
</td>
        <td>585.721154<br />
</td>
        <td>swetismic augmented fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/24_17">24/17</a><br />
</td>
        <td>596.999591<br />
</td>
        <td>smaller septendecimal tritone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_12">17/12</a><br />
</td>
        <td>603.000409<br />
</td>
        <td>larger septendecimal tritone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/10_7">10/7</a><br />
</td>
        <td>617.487807<br />
</td>
        <td>diminished fifth, Euler's tritone, superaugmented fourth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/23_16">23/16</a><br />
</td>
        <td>628.2743<br />
</td>
        <td>23-limit superaugmented fourth, octave-reduced 23rd harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/36_25">36/25</a><br />
</td>
        <td>631.282574<br />
</td>
        <td>pental diminished fifth, classic diminshed fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/13_9">13/9</a><br />
</td>
        <td>636.61766<br />
</td>
        <td>tridecimal diminished fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/16_11">16/11</a><br />
</td>
        <td>648.682058<br />
</td>
        <td>sub-fifth, octave-reduced 11th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/35_24">35/24</a><br />
</td>
        <td>653.184619<br />
</td>
        <td>septimal sub-fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/22_15">22/15</a><br />
</td>
        <td>663.049228<br />
</td>
        <td>undecimal diminished fifth, semidiminished fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/72_49">72/49</a><br />
</td>
        <td>666.258889<br />
</td>
        <td>septimal catafifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/81_55">81/55</a><br />
</td>
        <td>670.188347<br />
</td>
        <td>undecimal catafifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/40_27">40/27</a><br />
</td>
        <td>680.448711<br />
</td>
        <td>grave fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/112_75">112/75</a><br />
</td>
        <td>694.243478<br />
</td>
        <td>marvelous fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Just%20perfect%20fifth">3/2</a><br />
</td>
        <td>701.955001<br />
</td>
        <td><a class="wiki_link" href="/perfect%20fifth">just perfect fifth</a>, octave-reduced 3rd harmonic, diapente<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/182_121">182/121</a><br />
</td>
        <td><span style="line-height: 1.5;">706.7177</span><br />
</td>
        <td>tridecimal gentle fifth (2.7.11.13)<br />
</td>
    </tr>
    <tr>
        <td>176/117<br />
</td>
        <td><span style="line-height: 1.5;">706.8803</span><br />
</td>
        <td>tridecimal gentle fifth (2.3.11.13)<br />
</td>
    </tr>
    <tr>
        <td>50/33<br />
</td>
        <td><span style="background-color: #ffffff;">719.354484</span><br />
</td>
        <td>&quot;5-EDO&quot;-esque fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32_21">32/21</a><br />
</td>
        <td>729.219093<br />
</td>
        <td>super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/26_17">26/17</a><br />
</td>
        <td>735.572252<br />
</td>
        <td>septendecimal super-fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_32">49/32</a><br />
</td>
        <td>737.651813<br />
</td>
        <td>superduper fifth, octave-reduced 49th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/20_13">20/13</a><br />
</td>
        <td>745.786052<br />
</td>
        <td>Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_11">17/11</a><br />
</td>
        <td>753.637467<br />
</td>
        <td>septendecimal subminor sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/14_9">14/9</a><br />
</td>
        <td>764.915905<br />
</td>
        <td>subminor sixth, septimal minor sixth, augmented fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/25_16">25/16</a><br />
</td>
        <td>772.627428<br />
</td>
        <td>pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/11_7">11/7</a><br />
</td>
        <td>782.492036<br />
</td>
        <td>undecimal subminor sixth, undecimal augmented fifth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/8_5">8/5</a><br />
</td>
        <td>813.686286<br />
</td>
        <td>minor sixth, octave-reduced 5th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/13_8">13/8</a><br />
</td>
        <td>840.527662<br />
</td>
        <td>tridecimal neutral sixth, octave-reduced 13th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/80_49">80/49</a><br />
</td>
        <td>848.661901<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_30">49/30</a><br />
</td>
        <td>849.383198<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/18_11">18/11</a><br />
</td>
        <td>852.59216<br />
</td>
        <td>undecimal neutral sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_17">28/17</a><br />
</td>
        <td>863.870497<br />
</td>
        <td>septendecimal submajor sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/5_3">5/3</a><br />
</td>
        <td>884.358713<br />
</td>
        <td>major sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/42_25">42/25</a><br />
</td>
        <td>898.15348<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/27_16">27/16</a><br />
</td>
        <td>905.865003<br />
</td>
        <td>Pythagorean major sixth, octave-reduced 27th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/22_13">22/13</a><br />
</td>
        <td>910.790821<br />
</td>
        <td>tridecimal major sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_10">17/10</a><br />
</td>
        <td>918.641696<br />
</td>
        <td>septendecimal diminished seventh, septendecimal major sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/12_7">12/7</a><br />
</td>
        <td>933.129094<br />
</td>
        <td>supermajor sixth, septimal major sixth, diminished seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/26_15">26/15</a><br />
</td>
        <td>952.258947<br />
</td>
        <td>semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/7_4">7/4</a><br />
</td>
        <td>968.825906<br />
</td>
        <td>subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/225_128">225/128</a><br />
</td>
        <td>976.537429<br />
</td>
        <td>marvel five-limit harmonic seventh, octave-reduced 225th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/30_17">30/17</a><br />
</td>
        <td>983.313305<br />
</td>
        <td>septendecimal minor seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/16_9">16/9</a><br />
</td>
        <td>996.089998<br />
</td>
        <td>Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/25_14">25/14</a><br />
</td>
        <td>1003.801521<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/9_5">9/5</a><br />
</td>
        <td>1017.596288<br />
</td>
        <td>minor seventh, large minor seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/29_16">29/16</a><br />
</td>
        <td>1029.5772<br />
</td>
        <td>29-limit large minor seventh, octave-reduced 29th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/20_11">20/11</a><br />
</td>
        <td>1034.995772<br />
</td>
        <td>undecimal minor seventh, small undecimal neutral seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/64_35">64/35</a><br />
</td>
        <td>1044.86038<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/11_6">11/6</a><br />
</td>
        <td>1049.362941<br />
</td>
        <td>undecimal neutral seventh, 21/4-tone<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/24_13">24/13</a><br />
</td>
        <td>1061.427339<br />
</td>
        <td>tridecimal neutral seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/13_7">13/7</a><br />
</td>
        <td>1071.701755<br />
</td>
        <td>16/3-tone, tridecimal submajor seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_15">28/15</a><br />
</td>
        <td>1080.557192<br />
</td>
        <td>grave major seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/15_8">15/8</a><br />
</td>
        <td>1088.268715<br />
</td>
        <td>major seventh, just major seventh, octave-reduced 15th harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/32_17">32/17</a><br />
</td>
        <td>1095.04459<br />
</td>
        <td>small septendecimal major seventh, octave-reduced 17th subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/17_9">17/9</a><br />
</td>
        <td>1101.045408<br />
</td>
        <td>large septendecimal major seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/243_128">243/128</a><br />
</td>
        <td>1109.775004<br />
</td>
        <td>Pythagorean major seventh, octave-reduced 243rd harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/40_21">40/21</a><br />
</td>
        <td>1115.532907<br />
</td>
        <td>acute major seventh<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/61_32">61/32</a><br />
</td>
        <td>1116.884905<br />
</td>
        <td>octave-reduced 61st harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/48_25">48/25</a><br />
</td>
        <td>1129.327573<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/31_16">31/16</a><br />
</td>
        <td>1145.0356<br />
</td>
        <td>31-limit ultramajor seventh, octave-reduced 31st harmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/64_33">64/33</a><br />
</td>
        <td>1146.727057<br />
</td>
        <td>octave-reduced 33rd subharmonic<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/35_18">35/18</a><br />
</td>
        <td>1151.239619<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/96_49">96/49</a><br />
</td>
        <td>1164.303188<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/49_25">49/25</a><br />
</td>
        <td>1165.024385<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/160_81">160/81</a><br />
</td>
        <td>1178.493814<br />
</td>
        <td>octave minus syntonic comma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Octave">2/1</a><br />
</td>
        <td>1200<br />
</td>
        <td><a class="wiki_link" href="/octave">octave</a>, <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Diapason" rel="nofollow">diapason</a><br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:4 -->Links</h1>
 <a class="wiki_link_ext" href="http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt" rel="nofollow">Regions of the Interval Spectrum</a> by Margo Schulter <a class="wiki_link_ext" href="http://www.webcitation.org/5xeoz4zmC" rel="nofollow">Permalink</a><br />
<a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/intervals.html" rel="nofollow">Manuel Op de Coul interval list</a><br />
<a class="wiki_link_ext" href="http://www.kylegann.com/Octave.html" rel="nofollow">Anantomy of an Octave</a> by Kyle Gann<br />
<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span></body></html>