Gallery of just intervals: Difference between revisions

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Wikispaces>TallKite
**Imported revision 596799000 - Original comment: **
Wikispaces>TallKite
**Imported revision 596816550 - 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:TallKite|TallKite]] and made on <tt>2016-10-25 03:36:52 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10-25 04:06:02 UTC</tt>.<br>
: The original revision id was <tt>596799000</tt>.<br>
: The original revision id was <tt>596816550</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 95: Line 95:
|| [[6_5|6/5]] || 315.641287 || g3 = green 3rd, minor third, pental minor third ||
|| [[6_5|6/5]] || 315.641287 || g3 = green 3rd, minor third, pental minor third ||
|| [[77_64|77/64]] || 320.143849 || jb3 = jade blue 3rd, keenanismic minor third, octave-reduced 77th harmonic ||
|| [[77_64|77/64]] || 320.143849 || jb3 = jade blue 3rd, keenanismic minor third, octave-reduced 77th harmonic ||
|| 135/112 || 323.3528 || large septimal minor third, marvelous minor third ||
|| 135/112 || 323.3528 || ry2 = reddish aug 2nd, large septimal minor third, marvelous minor third, |-4, 3, 1, -1&gt; ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
|| [[17_14|17/14]] || 336.129503 || septendecimal supraminor third ||
|| [[17_14|17/14]] || 336.129503 || tr3 = tan red 3rd, septendecimal supraminor third ||
|| [[73_60|73/60]] || 339.520756 || amity supraminor third ||
|| [[73_60|73/60]] || 339.520756 || amity supraminor third ||
|| 625/512 || &lt;span style="background-color: #ffffff;"&gt;345.254855&lt;/span&gt; || 5-limit neutral third ||
|| 625/512 || &lt;span style="background-color: #ffffff;"&gt;345.254855&lt;/span&gt; || Ly&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;2 = large quadruple yellow double-aug 2nd, 5-limit neutral third, |-9, 0, 4&gt; ||
|| [[11_9|11/9]] || 347.40794 || undecimal neutral third ||
|| [[11_9|11/9]] || 347.40794 || j3 = jade 3rd, undecimal neutral third ||
|| [[60_49|60/49]] || 350.616902 || smaller septimal neutral third ||
|| [[60_49|60/49]] || 350.616902 || rry2 = reddish-red aug 2nd, p3 = purple 3rd, smaller septimal neutral third ||
|| [[49_40|49/40]] || 351.338099 || larger septimal neutral third ||
|| [[49_40|49/40]] || 351.338099 || bbg4 = bluish blue dim 4th, p3 = purple 3rd, larger septimal neutral third ||
|| [[27_22|27/22]] || 354.547060 || rastmic neutral third ||
|| [[27_22|27/22]] || 354.547060 || a3 = amber 3rd, rastmic neutral third ||
|| [[16_13|16/13]] || 359.472338 || tridecimal neutral third ||
|| [[16_13|16/13]] || 359.472338 || o3 = ochre 3rd, tridecimal neutral third ||
|| [[xenharmonic/21_17|21/17]] || 365.8255 || septendecimal submajor third ||
|| [[xenharmonic/21_17|21/17]] || 365.8255 || ub3 = umber-blue 3rd, septendecimal submajor third ||
|| [[56_45|56/45]] || 378.602191 || narrow perde segah, marvelous major third ||
|| [[56_45|56/45]] || 378.602191 || bg4 = bluish dim 4th, narrow perde segah, marvelous major third ||
|| 51/41 || &lt;span style="background-color: #ffffff;"&gt;377.848005&lt;/span&gt; || maja third ||
|| 51/41 || &lt;span style="background-color: #ffffff;"&gt;377.848005&lt;/span&gt; || maja third ||
|| [[71_57|71/57]] || 380.228526 || witchcraft major third ||
|| [[71_57|71/57]] || 380.228526 || witchcraft major third ||
|| [[76_61|76/61]] || 380.628211 || magic major third ||
|| [[76_61|76/61]] || 380.628211 || magic major third ||
|| [[96_77|96/77]] || 381.811152 || undecimal perde segah, keenanismic major third ||
|| [[96_77|96/77]] || 381.811152 || ar3 = amber-red 3rd, undecimal perde segah, keenanismic major third ||
|| [[5_4|5/4]] || 386.313714 || major third, octave-reduced 5th harmonic, pental major third ||
|| [[5_4|5/4]] || 386.313714 || y3 = yellow 3rd, major third, octave-reduced 5th harmonic, pental major third ||
|| [[81_64|81/64]] || 407.820003 || Pythagorean major third, octave-reduced 81st harmonic ||
|| [[81_64|81/64]] || 407.820003 || Lw3 = large white 3rd, Pythagorean major third, octave-reduced 81st harmonic ||
|| [[80_63|80/63]] || 413.577806 || werckismic sharp major third ||
|| [[80_63|80/63]] || 413.577806 || ry3 = reddish 3rd, werckismic sharp major third ||
|| [[14_11|14/11]] || 417.507964 || undecimal major third, undecimal diminished fourth ||
|| [[14_11|14/11]] || 417.507964 || ab4 = amber-blue 4th, undecimal major third, undecimal diminished fourth ||
|| [[32_25|32/25]] || 427.372572 || classic diminished fourth ||
|| [[32_25|32/25]] || 427.372572 || gg4 = deep green dim 4th, classic diminished fourth ||
|| [[77_60|77/60]] || 431.875134 || swetismic supermajor third ||
|| [[77_60|77/60]] || 431.875134 || jbg4 = jade-bluish 4th,swetismic supermajor third ||
|| [[9_7|9/7]] || 435.084095 || supermajor third, septimal major third, septimal diminished fourth ||
|| [[9_7|9/7]] || 435.084095 || r3 = red 3rd, supermajor third, septimal major third, septimal diminished fourth ||
|| [[31_24|31/24]] || 443.080572 || sensi supermajor third ||
|| [[31_24|31/24]] || 443.080572 || sensi supermajor third ||
|| [[22_17|22/17]] || 446.362533 || septendecimal supermajor third ||
|| [[22_17|22/17]] || 446.362533 || uj3 = umber jade 3rd, septendecimal supermajor third ||
|| [[35_27|35/27]] || 449.274618 || semi-diminished fourth ||
|| [[35_27|35/27]] || 449.274618 || yb4 = yellowish 4th, semi-diminished fourth ||
|| [[13_10|13/10]] || 454.213948 || Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third ||
|| [[13_10|13/10]] || 454.213948 || eg4 = emerald-green 4th, Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third ||
|| [[64_49|64/49]] || 462.348187 || septatonic major third ||
|| [[64_49|64/49]] || 462.348187 || rr3 = deep red 3rd, septatonic major third ||
|| [[17_13|17/13]] || 464.427748 || septendecimal sub-fourth ||
|| [[17_13|17/13]] || 464.427748 || to4 = tan-ochre 4th, septendecimal sub-fourth ||
|| [[21_16|21/16]] || 470.780907 || sub-fourth, narrow fourth, augmented third, octave-reduced 21st harmonic ||
|| [[21_16|21/16]] || 470.780907 || b4 = blue 4th, sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic ||
|| 33/25 || &lt;span style="background-color: #ffffff;"&gt;480.645516&lt;/span&gt; || "5-EDO"-esque fourth ||
|| 33/25 || &lt;span style="background-color: #ffffff;"&gt;480.645516&lt;/span&gt; || jgg4 = jadish green 4th, "5-EDO"-esque fourth ||
|| 117/88 || 493.1197 || tridecimal gentle fourth (2.3.11.13) ||
|| 117/88 || 493.1197 || ea4 = emerald amber 4th, tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1&gt; ||
|| [[4_3|4/3]] || 498.044999 || just perfect fourth, octave-reduced 3rd subharmonic, diatessaron ||
|| [[4_3|4/3]] || 498.044999 || w4 = white 4th, just perfect fourth, octave-reduced 3rd subharmonic, diatessaron ||
|| [[75_56|75/56]] || 505.756522 || marvelous fourth ||
|| [[75_56|75/56]] || 505.756522 || ryy3 = reddish-yellow aug 3rd, marvelous fourth ||
|| [[27_20|27/20]] || 519.551289 || acute fourth ||
|| [[27_20|27/20]] || 519.551289 || g4 = green 4th, acute fourth ||
|| [[xenharmonic/19_14|19/14]] || 528.6871 || 19-limit wide fourth ||
|| [[xenharmonic/19_14|19/14]] || 528.6871 || fr4 = fawn-red 4th, 19-limit wide fourth ||
|| [[49_36|49/36]] || 533.741811 || Arabic lute acute fourth ||
|| [[49_36|49/36]] || 533.741811 || bb5 = deep blue dim 5th, Arabic lute acute fourth ||
|| [[15_11|15/11]] || 536.950772 || undecimal augmented fourth, subaugmented fourth ||
|| [[15_11|15/11]] || 536.950772 || ay4 = amberish 4th, undecimal augmented fourth, subaugmented fourth ||
|| [[48_35|48/35]] || 546.815381 || septimal super-fourth ||
|| [[48_35|48/35]] || 546.815381 || gr4 = greenish 4th, septimal super-fourth ||
|| [[11_8|11/8]] || 551.317942 || super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa ||
|| [[11_8|11/8]] || 551.317942 || j4 = jade 4th, super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa ||
|| [[18_13|18/13]] || 563.38234 || tridecimal augmented fourth ||
|| [[18_13|18/13]] || 563.38234 || o4 = ochre 4th, tridecimal augmented fourth ||
|| [[25_18|25/18]] || 568.717426 || classic augmented fourth, pental augmented fourth ||
|| [[25_18|25/18]] || 568.717426 || yy4 = deep yellow 4th, classic augmented fourth, pental augmented fourth ||
|| [[88_63|88/63]] || 578.582034 || werckismic augmented fourth ||
|| [[88_63|88/63]] || 578.582034 || jr4 = jade-red 4th, werckismic augmented fourth ||
|| [[7_5|7/5]] || 582.512193 || augmented fourth, septimal tritone, Huygen's tritone ||
|| [[7_5|7/5]] || 582.512193 || bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone ||
|| [[108_77|108/77]] || 585.721154 || swetismic augmented fourth ||
|| [[108_77|108/77]] || 585.721154 || ar4 = amber-red 4th, swetismic augmented fourth ||
|| [[24_17|24/17]] || 596.999591 || smaller septendecimal tritone ||
|| [[24_17|24/17]] || 596.999591 || u4 = umber 4th, smaller septendecimal tritone ||
|| [[17_12|17/12]] || 603.000409 || larger septendecimal tritone ||
|| [[17_12|17/12]] || 603.000409 || t5 = tan 5th, larger septendecimal tritone ||
|| [[10_7|10/7]] || 617.487807 || diminished fifth, Euler's tritone, superaugmented fourth ||
|| [[10_7|10/7]] || 617.487807 || ry4 = reddish 4th, diminished fifth, Euler's tritone, superaugmented fourth ||
|| [[xenharmonic/23_16|23/16]] || 628.2743 || 23-limit superaugmented fourth, octave-reduced 23rd harmonic ||
|| [[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 ||
|| [[36_25|36/25]] || 631.282574 || pental diminished fifth, classic diminshed fifth ||
Line 815: Line 815:
         &lt;td&gt;323.3528&lt;br /&gt;
         &lt;td&gt;323.3528&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;large septimal minor third, marvelous minor third&lt;br /&gt;
         &lt;td&gt;ry2 = reddish aug 2nd, large septimal minor third, marvelous minor third, |-4, 3, 1, -1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 831: Line 831:
         &lt;td&gt;336.129503&lt;br /&gt;
         &lt;td&gt;336.129503&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal supraminor third&lt;br /&gt;
         &lt;td&gt;tr3 = tan red 3rd, septendecimal supraminor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 847: Line 847:
         &lt;td&gt;&lt;span style="background-color: #ffffff;"&gt;345.254855&lt;/span&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="background-color: #ffffff;"&gt;345.254855&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;5-limit neutral third&lt;br /&gt;
         &lt;td&gt;Ly&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;2 = large quadruple yellow double-aug 2nd, 5-limit neutral third, |-9, 0, 4&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 855: Line 855:
         &lt;td&gt;347.40794&lt;br /&gt;
         &lt;td&gt;347.40794&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal neutral third&lt;br /&gt;
         &lt;td&gt;j3 = jade 3rd, undecimal neutral third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 863: Line 863:
         &lt;td&gt;350.616902&lt;br /&gt;
         &lt;td&gt;350.616902&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;smaller septimal neutral third&lt;br /&gt;
         &lt;td&gt;rry2 = reddish-red aug 2nd, p3 = purple 3rd, smaller septimal neutral third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 871: Line 871:
         &lt;td&gt;351.338099&lt;br /&gt;
         &lt;td&gt;351.338099&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;larger septimal neutral third&lt;br /&gt;
         &lt;td&gt;bbg4 = bluish blue dim 4th, p3 = purple 3rd, larger septimal neutral third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 879: Line 879:
         &lt;td&gt;354.547060&lt;br /&gt;
         &lt;td&gt;354.547060&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;rastmic neutral third&lt;br /&gt;
         &lt;td&gt;a3 = amber 3rd, rastmic neutral third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 887: Line 887:
         &lt;td&gt;359.472338&lt;br /&gt;
         &lt;td&gt;359.472338&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;tridecimal neutral third&lt;br /&gt;
         &lt;td&gt;o3 = ochre 3rd, tridecimal neutral third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 895: Line 895:
         &lt;td&gt;365.8255&lt;br /&gt;
         &lt;td&gt;365.8255&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal submajor third&lt;br /&gt;
         &lt;td&gt;ub3 = umber-blue 3rd, septendecimal submajor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 903: Line 903:
         &lt;td&gt;378.602191&lt;br /&gt;
         &lt;td&gt;378.602191&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;narrow perde segah, marvelous major third&lt;br /&gt;
         &lt;td&gt;bg4 = bluish dim 4th, narrow perde segah, marvelous major third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 935: Line 935:
         &lt;td&gt;381.811152&lt;br /&gt;
         &lt;td&gt;381.811152&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal perde segah, keenanismic major third&lt;br /&gt;
         &lt;td&gt;ar3 = amber-red 3rd, undecimal perde segah, keenanismic major third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 943: Line 943:
         &lt;td&gt;386.313714&lt;br /&gt;
         &lt;td&gt;386.313714&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;major third, octave-reduced 5th harmonic, pental major third&lt;br /&gt;
         &lt;td&gt;y3 = yellow 3rd, major third, octave-reduced 5th harmonic, pental major third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 951: Line 951:
         &lt;td&gt;407.820003&lt;br /&gt;
         &lt;td&gt;407.820003&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean major third, octave-reduced 81st harmonic&lt;br /&gt;
         &lt;td&gt;Lw3 = large white 3rd, Pythagorean major third, octave-reduced 81st harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 959: Line 959:
         &lt;td&gt;413.577806&lt;br /&gt;
         &lt;td&gt;413.577806&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;werckismic sharp major third&lt;br /&gt;
         &lt;td&gt;ry3 = reddish 3rd, werckismic sharp major third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 967: Line 967:
         &lt;td&gt;417.507964&lt;br /&gt;
         &lt;td&gt;417.507964&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal major third, undecimal diminished fourth&lt;br /&gt;
         &lt;td&gt;ab4 = amber-blue 4th, undecimal major third, undecimal diminished fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 975: Line 975:
         &lt;td&gt;427.372572&lt;br /&gt;
         &lt;td&gt;427.372572&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;classic diminished fourth&lt;br /&gt;
         &lt;td&gt;gg4 = deep green dim 4th, classic diminished fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 983: Line 983:
         &lt;td&gt;431.875134&lt;br /&gt;
         &lt;td&gt;431.875134&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;swetismic supermajor third&lt;br /&gt;
         &lt;td&gt;jbg4 = jade-bluish 4th,swetismic supermajor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 991: Line 991:
         &lt;td&gt;435.084095&lt;br /&gt;
         &lt;td&gt;435.084095&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermajor third, septimal major third, septimal diminished fourth&lt;br /&gt;
         &lt;td&gt;r3 = red 3rd, supermajor third, septimal major third, septimal diminished fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,007: Line 1,007:
         &lt;td&gt;446.362533&lt;br /&gt;
         &lt;td&gt;446.362533&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal supermajor third&lt;br /&gt;
         &lt;td&gt;uj3 = umber jade 3rd, septendecimal supermajor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,015: Line 1,015:
         &lt;td&gt;449.274618&lt;br /&gt;
         &lt;td&gt;449.274618&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;semi-diminished fourth&lt;br /&gt;
         &lt;td&gt;yb4 = yellowish 4th, semi-diminished fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,023: Line 1,023:
         &lt;td&gt;454.213948&lt;br /&gt;
         &lt;td&gt;454.213948&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third&lt;br /&gt;
         &lt;td&gt;eg4 = emerald-green 4th, Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,031: Line 1,031:
         &lt;td&gt;462.348187&lt;br /&gt;
         &lt;td&gt;462.348187&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septatonic major third&lt;br /&gt;
         &lt;td&gt;rr3 = deep red 3rd, septatonic major third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,039: Line 1,039:
         &lt;td&gt;464.427748&lt;br /&gt;
         &lt;td&gt;464.427748&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal sub-fourth&lt;br /&gt;
         &lt;td&gt;to4 = tan-ochre 4th, septendecimal sub-fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,047: Line 1,047:
         &lt;td&gt;470.780907&lt;br /&gt;
         &lt;td&gt;470.780907&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;sub-fourth, narrow fourth, augmented third, octave-reduced 21st harmonic&lt;br /&gt;
         &lt;td&gt;b4 = blue 4th, sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,055: Line 1,055:
         &lt;td&gt;&lt;span style="background-color: #ffffff;"&gt;480.645516&lt;/span&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="background-color: #ffffff;"&gt;480.645516&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&amp;quot;5-EDO&amp;quot;-esque fourth&lt;br /&gt;
         &lt;td&gt;jgg4 = jadish green 4th, &amp;quot;5-EDO&amp;quot;-esque fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,063: Line 1,063:
         &lt;td&gt;493.1197&lt;br /&gt;
         &lt;td&gt;493.1197&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;tridecimal gentle fourth (2.3.11.13)&lt;br /&gt;
         &lt;td&gt;ea4 = emerald amber 4th, tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,071: Line 1,071:
         &lt;td&gt;498.044999&lt;br /&gt;
         &lt;td&gt;498.044999&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;just perfect fourth, octave-reduced 3rd subharmonic, diatessaron&lt;br /&gt;
         &lt;td&gt;w4 = white 4th, just perfect fourth, octave-reduced 3rd subharmonic, diatessaron&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,079: Line 1,079:
         &lt;td&gt;505.756522&lt;br /&gt;
         &lt;td&gt;505.756522&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;marvelous fourth&lt;br /&gt;
         &lt;td&gt;ryy3 = reddish-yellow aug 3rd, marvelous fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,087: Line 1,087:
         &lt;td&gt;519.551289&lt;br /&gt;
         &lt;td&gt;519.551289&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;acute fourth&lt;br /&gt;
         &lt;td&gt;g4 = green 4th, acute fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,095: Line 1,095:
         &lt;td&gt;528.6871&lt;br /&gt;
         &lt;td&gt;528.6871&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;19-limit wide fourth&lt;br /&gt;
         &lt;td&gt;fr4 = fawn-red 4th, 19-limit wide fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,103: Line 1,103:
         &lt;td&gt;533.741811&lt;br /&gt;
         &lt;td&gt;533.741811&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Arabic lute acute fourth&lt;br /&gt;
         &lt;td&gt;bb5 = deep blue dim 5th, Arabic lute acute fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,111: Line 1,111:
         &lt;td&gt;536.950772&lt;br /&gt;
         &lt;td&gt;536.950772&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal augmented fourth, subaugmented fourth&lt;br /&gt;
         &lt;td&gt;ay4 = amberish 4th, undecimal augmented fourth, subaugmented fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,119: Line 1,119:
         &lt;td&gt;546.815381&lt;br /&gt;
         &lt;td&gt;546.815381&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal super-fourth&lt;br /&gt;
         &lt;td&gt;gr4 = greenish 4th, septimal super-fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,127: Line 1,127:
         &lt;td&gt;551.317942&lt;br /&gt;
         &lt;td&gt;551.317942&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa&lt;br /&gt;
         &lt;td&gt;j4 = jade 4th, super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,135: Line 1,135:
         &lt;td&gt;563.38234&lt;br /&gt;
         &lt;td&gt;563.38234&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;tridecimal augmented fourth&lt;br /&gt;
         &lt;td&gt;o4 = ochre 4th, tridecimal augmented fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,143: Line 1,143:
         &lt;td&gt;568.717426&lt;br /&gt;
         &lt;td&gt;568.717426&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;classic augmented fourth, pental augmented fourth&lt;br /&gt;
         &lt;td&gt;yy4 = deep yellow 4th, classic augmented fourth, pental augmented fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,151: Line 1,151:
         &lt;td&gt;578.582034&lt;br /&gt;
         &lt;td&gt;578.582034&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;werckismic augmented fourth&lt;br /&gt;
         &lt;td&gt;jr4 = jade-red 4th, werckismic augmented fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,159: Line 1,159:
         &lt;td&gt;582.512193&lt;br /&gt;
         &lt;td&gt;582.512193&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;augmented fourth, septimal tritone, Huygen's tritone&lt;br /&gt;
         &lt;td&gt;bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,167: Line 1,167:
         &lt;td&gt;585.721154&lt;br /&gt;
         &lt;td&gt;585.721154&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;swetismic augmented fourth&lt;br /&gt;
         &lt;td&gt;ar4 = amber-red 4th, swetismic augmented fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,175: Line 1,175:
         &lt;td&gt;596.999591&lt;br /&gt;
         &lt;td&gt;596.999591&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;smaller septendecimal tritone&lt;br /&gt;
         &lt;td&gt;u4 = umber 4th, smaller septendecimal tritone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,183: Line 1,183:
         &lt;td&gt;603.000409&lt;br /&gt;
         &lt;td&gt;603.000409&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;larger septendecimal tritone&lt;br /&gt;
         &lt;td&gt;t5 = tan 5th, larger septendecimal tritone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,191: Line 1,191:
         &lt;td&gt;617.487807&lt;br /&gt;
         &lt;td&gt;617.487807&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;diminished fifth, Euler's tritone, superaugmented fourth&lt;br /&gt;
         &lt;td&gt;ry4 = reddish 4th, diminished fifth, Euler's tritone, superaugmented fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 04:06, 25 October 2016

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author TallKite and made on 2016-10-25 04:06:02 UTC.
The original revision id was 596816550.
The revision comment was:

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Original Wikitext content:

[[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 || w1 = unison, unity, perfect prime, Tonic ||
|| [[32805_32768|32805/32768]] || 1.95372 || Ly-2 = yellow subcomma, schisma, |-15, 8, 1> ||
|| [[100_99|100/99]] || 17.399484 || ayy1 = amber deep yellow comma, Ptolemy's comma ||
|| [[99_98|99/98]] || 17.576131 || jrr-2 = jade deep red comma, Mothwellsma ||
|| [[81_80|81/80]] || 21.506286 || g1 = green comma, Syntonic comma, Didymus comma ||
|| [[531441_524288|531441/524288]] || 23.46001 || LLw-2 = white comma, Pythagorean comma, Ditonic comma, |-19, 12> ||
|| [[66_65|66/65]] || 26.431568 || ojg1 = oche-jadish comma, Winmeanma ||
|| [[65_64|65/64]] || 26.841376 || ey1 = emerald-yellow comma, Wilsorma, 13th-partial chroma ||
|| [[64_63|64/63]] || 27.264092 || r1 = red comma, Septimal comma, Archytas' comma ||
|| [[3125_3072|3125/3072]] || 29.613568 || Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma, Magic comma, small diesis, |-10, -1, 5> ||
|| [[50_49|50/49]] || 34.975615 || rryy-2 = deep reddish comma, septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis ||
|| [[49_48|49/48]] || 35.696812 || bb2 = deep blue comma, large septimal diesis, slendro diesis ||
|| [[45_44|45/44]] || 38.905773 || ay1 = amber-yellow comma, undecimal 1/5th tone ||
|| [[128_125|128/125]] || 41.058858 || g<span style="vertical-align: super;">3</span>2 = triple green comma, Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3> ||
|| [[525_512|525/512]] || 43.408335 || Lyyb1 = large blue deep yellow comma, Avicenna's enharmonic diesis, |-9, 1, 2, 1> ||
|| [[36_35|36/35]] || 48.770381 || gr1 = greenish comma, double comma, septimal quarter tone ||
|| [[250_243|250/243]] || 49.166137 || y<span style="vertical-align: super;">3</span>1 = triple yellow comma, Porcupine comma, |1, -5, 3> ||
|| [[59049_57344|59049/57344]] || 50.724102 || Lr-2 = large red comma, Harrison's comma, |-13, 10, 0, -1> ||
|| [[100_97|100/97]] || 52.732017 || shrutar quarter tone ||
|| [[33_32|33/32]] || 53.272943 || j1 = jade quarter-tone, undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic ||
|| [[648_625|648/]]625 || 62.565148 || g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd, diminished comma, major diesis, |8, 4, -4> ||
|| [[28_27|28/27]] || 62.960904 || b2 = blue 2nd, septimal chroma, small septimal chromatic semitone, septimal subminor second ||
|| [[25_24|25/24]] || 70.672427 || yy1 = deep yellow semitone, chroma, chromatic semitone, Zarlinian semitone ||
|| [[68_65|68/65]] || 78.114034 || tog2 = tannish ocher 2nd, valentine semitone ||
|| [[22_21|22/21]] || 80.537035 || jr1 = jade-red semitone, undecimal minor semitone ||
|| [[64_61|64/61]] || 83.115195 || harry minor semitone ||
|| [[21_20|21/20]] || 84.467193 || bg2 = bluish 2nd, minor semitone, large septimal chromatic semitone ||
|| [[256_243|256/243]] || 90.224996 || sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second ||
|| [[135_128|135/128]] || 92.178716 || Ly1 = large yellow semitone, major limma, |-7, 3, 1> ||
|| [[18_17|18/17]] || 98.954592 || u1 = umber semitone, small septendecimal semitone, Arabic lute index finger ||
|| [[17_16|17/16]] || 104.95541 || t2 = tan 2nd, large septendecimal semitone, octave-reduced 17th harmonic ||
|| [[16_15|16/15]] || 111.731285 || g2 = green 2nd, diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||
|| [[2187_2048|2187/2048]] || 113.685006 || Lw1 = large white semitone, apotome ||
|| [[77_72|77/72]] || 116.233847 || jb2 = jade-blue 2nd, undecimal secor ||
|| [[15_14|15/14]] || 119.442808 || ry1 = reddish semitone, septimal diatonic semitone ||
|| [[14_13|14/13]] || 128.298245 || ob2 = ochre-blue 2nd, 2/3-tone, trienthird, tridecimal supraminor second ||
|| [[27_25|27/25]] || 133.237575 || gg2 = deep green 2nd, large limma ||
|| [[13_12|13/12]] || 138.572661 || e2 = emerald 2nd, tridecimal subtone, tridecimal 2/3-tone ||
|| [[243_224|243/224]] || 140.949098 || Lr1 = large red semitone, septimal subtone, |-5, 5, 0, -1> ||
|| [[88_81|88/81]] || 143.497939 || j2 = jade 2nd, undecimal subtone ||
|| [[49_45|49/45]] || 147.428097 || bbg3 = bluish-blue dim 3rd, swetismic neutral second ||
|| [[12_11|12/11]] || 150.637059 || a2 = amber 2nd, small undecimal neutral second, 3/4-tone ||
|| [[35_32|35/32]] || 155.13962 || yb2 = yellowish 2nd, septimal neutral second ||
|| [[78_71|78/71]] || 162.786119 || porcupine neutral second ||
|| [[11_10|11/10]] || 165.004228 || jg2 = jade-green 2nd, large undecimal neutral second, 4/5-tone, Ptolemy's second ||
|| [[54_49|54/49]] || 168.21319 || rr1 = deep red augmented unison, Zalzal's mujannab ||
|| [[10_9|10/9]] || 182.403712 || y2 = yellow 2nd, minor whole tone ||
|| [[49_44|49/44]] || 186.333871 || abb3 = amber deep blue dim 3rd, werckismic minor second ||
|| [[xenharmonic/19_17|19/17]] || 192.5576 || fu2 = fawn umber 2nd, quasi-meantone ||
|| [[28_25|28/25]] || 196.198479 || bgg3 = bluish-green dim 3rd, middle major second ||
|| [[55_49|55/49]] || 199.979843 || jrry1 = jade-red reddish double-aug unison, werckismic tone ||
|| [[9_8|9/8]] || 203.910002 || w2 = white 2nd, major whole tone, Pythagorean tone, octave-reduced 9th harmonic ||
|| [[17_15|17/15]] || 216.686695 || tg3 = tannish dim 3rd, septendecimal whole tone, septendecimal eventone ||
|| [[8_7|8/7]] || 231.174094 || r2 = red 2nd, supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic ||
|| [[63_55|63/55]] || 235.104252 || abg3 = amber bluish dim 3rd, werckismic supermajor second ||
|| [[55_48|55/48]] || 235.676655 || jy2 = jade-yellow 2nd, keenanismic supermajor second ||
|| [[15_13|15/13]] || 247.741053 || oy2 = ochre-yellow 2nd, semifourth, tridecimal ultramajor second, tridecimal inframinor third ||
|| [[22_19|22/19]] || 253.804926 || kj2 = khaki-jade 2nd, minimal minor third, godzilla third ||
|| [[64_55|64/55]] || 262.368344 || ag3 = amber-green 3rd, keenanismic subminor third, octave-reduced 55th subharmonic ||
|| [[7_6|7/6]] || 266.870906 || b3 = blue 3rd, subminor third, septimal minor third, augmented second ||
|| [[90_77|90/77]] || 270.079867 || ary2 = amber reddish 2nd, swetismic subminor third ||
|| [[62_53|62/53]] || 271.531027 || orwell subminor third ||
|| [[75_64|75/64]] || 274.582429 || yy2 = deep yellow 2nd, classic augmented second ||
|| [[20_17|20/17]] || 281.358304 || uy2 = umber yellow aug 2nd, septendecimal augmented second, septendecimal minor third ||
|| [[13_11|13/11]] || 289.209179 || ea3 = emerald amber 3rd, tridecimal minor third ||
|| [[32_27|32/27]] || 294.134997 || w3 = white 3rd, Pythagorean minor third, octave-reduced 27th subharmonic ||
|| [[19_16|19/16]] || 297.513016 || f3 = fawn 3rd, otonal minor third, octave-reduced 19th harmonic ||
|| [[25_21|25/21]] || 301.84652 || ryy2 = reddish-yellow aug 2nd, quasi-tempered minor third ||
|| [[61_51|61/51]] || 309.974395 || myna third ||
|| [[6_5|6/5]] || 315.641287 || g3 = green 3rd, minor third, pental minor third ||
|| [[77_64|77/64]] || 320.143849 || jb3 = jade blue 3rd, keenanismic minor third, octave-reduced 77th harmonic ||
|| 135/112 || 323.3528 || ry2 = reddish aug 2nd, large septimal minor third, marvelous minor third, |-4, 3, 1, -1> ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
|| [[17_14|17/14]] || 336.129503 || tr3 = tan red 3rd, septendecimal supraminor third ||
|| [[73_60|73/60]] || 339.520756 || amity supraminor third ||
|| 625/512 || <span style="background-color: #ffffff;">345.254855</span> || Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow double-aug 2nd, 5-limit neutral third, |-9, 0, 4> ||
|| [[11_9|11/9]] || 347.40794 || j3 = jade 3rd, undecimal neutral third ||
|| [[60_49|60/49]] || 350.616902 || rry2 = reddish-red aug 2nd, p3 = purple 3rd, smaller septimal neutral third ||
|| [[49_40|49/40]] || 351.338099 || bbg4 = bluish blue dim 4th, p3 = purple 3rd, larger septimal neutral third ||
|| [[27_22|27/22]] || 354.547060 || a3 = amber 3rd, rastmic neutral third ||
|| [[16_13|16/13]] || 359.472338 || o3 = ochre 3rd, tridecimal neutral third ||
|| [[xenharmonic/21_17|21/17]] || 365.8255 || ub3 = umber-blue 3rd, septendecimal submajor third ||
|| [[56_45|56/45]] || 378.602191 || bg4 = bluish dim 4th, narrow perde segah, marvelous major third ||
|| 51/41 || <span style="background-color: #ffffff;">377.848005</span> || maja 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 || ar3 = amber-red 3rd, undecimal perde segah, keenanismic major third ||
|| [[5_4|5/4]] || 386.313714 || y3 = yellow 3rd, major third, octave-reduced 5th harmonic, pental major third ||
|| [[81_64|81/64]] || 407.820003 || Lw3 = large white 3rd, Pythagorean major third, octave-reduced 81st harmonic ||
|| [[80_63|80/63]] || 413.577806 || ry3 = reddish 3rd, werckismic sharp major third ||
|| [[14_11|14/11]] || 417.507964 || ab4 = amber-blue 4th, undecimal major third, undecimal diminished fourth ||
|| [[32_25|32/25]] || 427.372572 || gg4 = deep green dim 4th, classic diminished fourth ||
|| [[77_60|77/60]] || 431.875134 || jbg4 = jade-bluish 4th,swetismic supermajor third ||
|| [[9_7|9/7]] || 435.084095 || r3 = red 3rd, supermajor third, septimal major third, septimal diminished fourth ||
|| [[31_24|31/24]] || 443.080572 || sensi supermajor third ||
|| [[22_17|22/17]] || 446.362533 || uj3 = umber jade 3rd, septendecimal supermajor third ||
|| [[35_27|35/27]] || 449.274618 || yb4 = yellowish 4th, semi-diminished fourth ||
|| [[13_10|13/10]] || 454.213948 || eg4 = emerald-green 4th, Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third ||
|| [[64_49|64/49]] || 462.348187 || rr3 = deep red 3rd, septatonic major third ||
|| [[17_13|17/13]] || 464.427748 || to4 = tan-ochre 4th, septendecimal sub-fourth ||
|| [[21_16|21/16]] || 470.780907 || b4 = blue 4th, sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic ||
|| 33/25 || <span style="background-color: #ffffff;">480.645516</span> || jgg4 = jadish green 4th, "5-EDO"-esque fourth ||
|| 117/88 || 493.1197 || ea4 = emerald amber 4th, tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1> ||
|| [[4_3|4/3]] || 498.044999 || w4 = white 4th, just perfect fourth, octave-reduced 3rd subharmonic, diatessaron ||
|| [[75_56|75/56]] || 505.756522 || ryy3 = reddish-yellow aug 3rd, marvelous fourth ||
|| [[27_20|27/20]] || 519.551289 || g4 = green 4th, acute fourth ||
|| [[xenharmonic/19_14|19/14]] || 528.6871 || fr4 = fawn-red 4th, 19-limit wide fourth ||
|| [[49_36|49/36]] || 533.741811 || bb5 = deep blue dim 5th, Arabic lute acute fourth ||
|| [[15_11|15/11]] || 536.950772 || ay4 = amberish 4th, undecimal augmented fourth, subaugmented fourth ||
|| [[48_35|48/35]] || 546.815381 || gr4 = greenish 4th, septimal super-fourth ||
|| [[11_8|11/8]] || 551.317942 || j4 = jade 4th, super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa ||
|| [[18_13|18/13]] || 563.38234 || o4 = ochre 4th, tridecimal augmented fourth ||
|| [[25_18|25/18]] || 568.717426 || yy4 = deep yellow 4th, classic augmented fourth, pental augmented fourth ||
|| [[88_63|88/63]] || 578.582034 || jr4 = jade-red 4th, werckismic augmented fourth ||
|| [[7_5|7/5]] || 582.512193 || bg5 = bluish 5th, augmented fourth, septimal tritone, Huygen's tritone ||
|| [[108_77|108/77]] || 585.721154 || ar4 = amber-red 4th, swetismic augmented fourth ||
|| [[24_17|24/17]] || 596.999591 || u4 = umber 4th, smaller septendecimal tritone ||
|| [[17_12|17/12]] || 603.000409 || t5 = tan 5th, larger septendecimal tritone ||
|| [[10_7|10/7]] || 617.487807 || ry4 = reddish 4th, 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 ||
|| 28/19 || <span style="background-color: #ffffff;">671.31289</span> || 19-limit narrow fifth ||
|| [[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 ||
|| 413/256 || <span style="background-color: #ffffff;">827.997565</span> || octave-reduced 413th harmonic, homestuck sixth ||
|| [[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>w1 = 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>Ly-2 = yellow subcomma, schisma, |-15, 8, 1&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/100_99">100/99</a><br />
</td>
        <td>17.399484<br />
</td>
        <td>ayy1 = amber deep yellow comma, 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>jrr-2 = jade deep red comma, Mothwellsma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/81_80">81/80</a><br />
</td>
        <td>21.506286<br />
</td>
        <td>g1 = green comma, 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>LLw-2 = white comma, Pythagorean comma, Ditonic comma, |-19, 12&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/66_65">66/65</a><br />
</td>
        <td>26.431568<br />
</td>
        <td>ojg1 = oche-jadish comma, Winmeanma<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/65_64">65/64</a><br />
</td>
        <td>26.841376<br />
</td>
        <td>ey1 = emerald-yellow comma, 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>r1 = red comma, 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>Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma, Magic comma, small diesis, |-10, -1, 5&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/50_49">50/49</a><br />
</td>
        <td>34.975615<br />
</td>
        <td>rryy-2 = deep reddish comma, 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>bb2 = deep blue comma, 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>ay1 = amber-yellow comma, 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>g<span style="vertical-align: super;">3</span>2 = triple green comma, Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/525_512">525/512</a><br />
</td>
        <td>43.408335<br />
</td>
        <td>Lyyb1 = large blue deep yellow comma, Avicenna's enharmonic diesis, |-9, 1, 2, 1&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/36_35">36/35</a><br />
</td>
        <td>48.770381<br />
</td>
        <td>gr1 = greenish comma, double comma, 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>y<span style="vertical-align: super;">3</span>1 = triple yellow comma, Porcupine comma, |1, -5, 3&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/59049_57344">59049/57344</a><br />
</td>
        <td>50.724102<br />
</td>
        <td>Lr-2 = large red comma, Harrison's comma, |-13, 10, 0, -1&gt;<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>j1 = jade quarter-tone, 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/</a>625<br />
</td>
        <td>62.565148<br />
</td>
        <td>g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd, diminished comma, major diesis, |8, 4, -4&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/28_27">28/27</a><br />
</td>
        <td>62.960904<br />
</td>
        <td>b2 = blue 2nd, 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>yy1 = deep yellow semitone, 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>tog2 = tannish ocher 2nd, 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>jr1 = jade-red semitone, 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>bg2 = bluish 2nd, 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>sw2 = small white 2nd, 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>Ly1 = large yellow semitone, major limma, |-7, 3, 1&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/18_17">18/17</a><br />
</td>
        <td>98.954592<br />
</td>
        <td>u1 = umber semitone, 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>t2 = tan 2nd, 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>g2 = green 2nd, 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>Lw1 = large white semitone, apotome<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/77_72">77/72</a><br />
</td>
        <td>116.233847<br />
</td>
        <td>jb2 = jade-blue 2nd, 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>ry1 = reddish semitone, 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>ob2 = ochre-blue 2nd, 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>gg2 = deep green 2nd, 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>e2 = emerald 2nd, 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>Lr1 = large red semitone, septimal subtone, |-5, 5, 0, -1&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/88_81">88/81</a><br />
</td>
        <td>143.497939<br />
</td>
        <td>j2 = jade 2nd, 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>bbg3 = bluish-blue dim 3rd, 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>a2 = amber 2nd, 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>yb2 = yellowish 2nd, 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>jg2 = jade-green 2nd, 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>rr1 = deep red augmented unison, 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>y2 = yellow 2nd, 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>abb3 = amber deep blue dim 3rd, 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>fu2 = fawn umber 2nd, 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>bgg3 = bluish-green dim 3rd, 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>jrry1 = jade-red reddish double-aug unison, 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>w2 = white 2nd, 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>tg3 = tannish dim 3rd, 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>r2 = red 2nd, 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>abg3 = amber bluish dim 3rd, 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>jy2 = jade-yellow 2nd, 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>oy2 = ochre-yellow 2nd, 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>kj2 = khaki-jade 2nd, 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>ag3 = amber-green 3rd, 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>b3 = blue 3rd, 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>ary2 = amber reddish 2nd, 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>yy2 = deep yellow 2nd, 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>uy2 = umber yellow aug 2nd, 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>ea3 = emerald amber 3rd, 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>w3 = white 3rd, 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>f3 = fawn 3rd, 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>ryy2 = reddish-yellow aug 2nd, 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>g3 = green 3rd, 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>jb3 = jade blue 3rd, keenanismic minor third, octave-reduced 77th harmonic<br />
</td>
    </tr>
    <tr>
        <td>135/112<br />
</td>
        <td>323.3528<br />
</td>
        <td>ry2 = reddish aug 2nd, large septimal minor third, marvelous minor third, |-4, 3, 1, -1&gt;<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>tr3 = tan red 3rd, 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>625/512<br />
</td>
        <td><span style="background-color: #ffffff;">345.254855</span><br />
</td>
        <td>Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow double-aug 2nd, 5-limit neutral third, |-9, 0, 4&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/11_9">11/9</a><br />
</td>
        <td>347.40794<br />
</td>
        <td>j3 = jade 3rd, 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>rry2 = reddish-red aug 2nd, p3 = purple 3rd, 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>bbg4 = bluish blue dim 4th, p3 = purple 3rd, 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>a3 = amber 3rd, 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>o3 = ochre 3rd, 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>ub3 = umber-blue 3rd, 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>bg4 = bluish dim 4th, narrow perde segah, marvelous major third<br />
</td>
    </tr>
    <tr>
        <td>51/41<br />
</td>
        <td><span style="background-color: #ffffff;">377.848005</span><br />
</td>
        <td>maja 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>ar3 = amber-red 3rd, 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>y3 = yellow 3rd, 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>Lw3 = large white 3rd, 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>ry3 = reddish 3rd, 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>ab4 = amber-blue 4th, 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>gg4 = deep green dim 4th, 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>jbg4 = jade-bluish 4th,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>r3 = red 3rd, supermajor third, septimal major third, septimal 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>uj3 = umber jade 3rd, 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>yb4 = yellowish 4th, 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>eg4 = emerald-green 4th, 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>rr3 = deep red 3rd, 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>to4 = tan-ochre 4th, 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>b4 = blue 4th, sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic<br />
</td>
    </tr>
    <tr>
        <td>33/25<br />
</td>
        <td><span style="background-color: #ffffff;">480.645516</span><br />
</td>
        <td>jgg4 = jadish green 4th, &quot;5-EDO&quot;-esque fourth<br />
</td>
    </tr>
    <tr>
        <td>117/88<br />
</td>
        <td>493.1197<br />
</td>
        <td>ea4 = emerald amber 4th, tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1&gt;<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/4_3">4/3</a><br />
</td>
        <td>498.044999<br />
</td>
        <td>w4 = white 4th, 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>ryy3 = reddish-yellow aug 3rd, 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>g4 = green 4th, 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>fr4 = fawn-red 4th, 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>bb5 = deep blue dim 5th, 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>ay4 = amberish 4th, 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>gr4 = greenish 4th, 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>j4 = jade 4th, 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>o4 = ochre 4th, 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>yy4 = deep yellow 4th, 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>jr4 = jade-red 4th, 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>bg5 = bluish 5th, 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>ar4 = amber-red 4th, 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>u4 = umber 4th, 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>t5 = tan 5th, 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>ry4 = reddish 4th, 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>28/19<br />
</td>
        <td><span style="background-color: #ffffff;">671.31289</span><br />
</td>
        <td>19-limit narrow fifth<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>413/256<br />
</td>
        <td><span style="background-color: #ffffff;">827.997565</span><br />
</td>
        <td>octave-reduced 413th harmonic, homestuck sixth<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>