Gallery of just intervals: Difference between revisions

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Wikispaces>Nickname2
**Imported revision 585098297 - Original comment: **
Wikispaces>TallKite
**Imported revision 596799000 - 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:Nickname2|Nickname2]] and made on <tt>2016-06-09 09:23:40 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10-25 03:36:52 UTC</tt>.<br>
: The original revision id was <tt>585098297</tt>.<br>
: The original revision id was <tt>596799000</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 24: Line 24:
||~ frequency ratio ||~ cents value
||~ frequency ratio ||~ cents value
(six decimal places) ||~ some common names ||
(six decimal places) ||~ some common names ||
|| [[1_1|1/1]] || 0 || Unison, unity, perfect prime, Tonic ||
|| [[1_1|1/1]] || 0 || w1 = unison, unity, perfect prime, Tonic ||
|| [[32805_32768|32805/32768]] || 1.95372 || schisma ||
|| [[32805_32768|32805/32768]] || 1.95372 || Ly-2 = yellow subcomma, schisma, |-15, 8, 1&gt; ||
|| [[100_99|100/99]] || 17.399484 || Ptolemy's comma ||
|| [[100_99|100/99]] || 17.399484 || ayy1 = amber deep yellow comma, Ptolemy's comma ||
|| [[99_98|99/98]] || 17.576131 || Mothwellsma ||
|| [[99_98|99/98]] || 17.576131 || jrr-2 = jade deep red comma, Mothwellsma ||
|| [[81_80|81/80]] || 21.506286 || Syntonic comma, Didymus comma ||
|| [[81_80|81/80]] || 21.506286 || g1 = green comma, Syntonic comma, Didymus comma ||
|| [[531441_524288|531441/524288]] || 23.46001 || Pythagorean comma, Ditonic comma ||
|| [[531441_524288|531441/524288]] || 23.46001 || LLw-2 = white comma, Pythagorean comma, Ditonic comma, |-19, 12&gt; ||
|| [[66_65|66/65]] || 26.431568 || Winmeanma ||
|| [[66_65|66/65]] || 26.431568 || ojg1 = oche-jadish comma, Winmeanma ||
|| [[65_64|65/64]] || 26.841376 || Wilsorma, 13th-partial chroma ||
|| [[65_64|65/64]] || 26.841376 || ey1 = emerald-yellow comma, Wilsorma, 13th-partial chroma ||
|| [[64_63|64/63]] || 27.264092 || Septimal comma, Archytas' comma ||
|| [[64_63|64/63]] || 27.264092 || r1 = red comma, Septimal comma, Archytas' comma ||
|| [[3125_3072|3125/3072]] || 29.613568 || Magic comma, small diesis ||
|| [[3125_3072|3125/3072]] || 29.613568 || Ly&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;-2 = quintuple yellow comma, Magic comma, small diesis, |-10, -1, 5&gt; ||
|| [[50_49|50/49]] || 34.975615 || septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis ||
|| [[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 || large septimal diesis, slendro diesis ||
|| [[49_48|49/48]] || 35.696812 || bb2 = deep blue comma, large septimal diesis, slendro diesis ||
|| [[45_44|45/44]] || 38.905773 || undecimal 1/5th tone ||
|| [[45_44|45/44]] || 38.905773 || ay1 = amber-yellow comma, undecimal 1/5th tone ||
|| [[128_125|128/125]] || 41.058858 || Diesis, minor diesis, augmented comma, enharmonic comma ||
|| [[128_125|128/125]] || 41.058858 || g&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;2 = triple green comma, Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3&gt; ||
|| [[525_512|525/512]] || 43.408335 || Avicenna's enharmonic diesis ||
|| [[525_512|525/512]] || 43.408335 || Lyyb1 = large blue deep yellow comma, Avicenna's enharmonic diesis, |-9, 1, 2, 1&gt; ||
|| [[36_35|36/35]] || 48.770381 || septimal quarter tone ||
|| [[36_35|36/35]] || 48.770381 || gr1 = greenish comma, double comma, septimal quarter tone ||
|| [[250_243|250/243]] || 49.166137 || Porcupine comma ||
|| [[250_243|250/243]] || 49.166137 || y&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;1 = triple yellow comma, Porcupine comma, |1, -5, 3&gt; ||
|| [[59049_57344|59049/57344]] || 50.724102 || Harrison's comma ||
|| [[59049_57344|59049/57344]] || 50.724102 || Lr-2 = large red comma, Harrison's comma, |-13, 10, 0, -1&gt; ||
|| [[100_97|100/97]] || 52.732017 || shrutar quarter tone ||
|| [[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 ||
|| [[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 || diminished comma, major diesis ||
|| [[648_625|648/]]625 || 62.565148 || g&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;2 = quadruple green 2nd, diminished comma, major diesis, |8, 4, -4&gt; ||
|| [[28_27|28/27]] || 62.960904 || septimal chroma, small septimal chromatic semitone, septimal subminor second ||
|| [[28_27|28/27]] || 62.960904 || b2 = blue 2nd, septimal chroma, small septimal chromatic semitone, septimal subminor second ||
|| [[25_24|25/24]] || 70.672427 || chroma, chromatic semitone, Zarlinian semitone ||
|| [[25_24|25/24]] || 70.672427 || yy1 = deep yellow semitone, chroma, chromatic semitone, Zarlinian semitone ||
|| [[68_65|68/65]] || 78.114034 || valentine semitone ||
|| [[68_65|68/65]] || 78.114034 || tog2 = tannish ocher 2nd, valentine semitone ||
|| [[22_21|22/21]] || 80.537035 || undecimal minor semitone ||
|| [[22_21|22/21]] || 80.537035 || jr1 = jade-red semitone, undecimal minor semitone ||
|| [[64_61|64/61]] || 83.115195 || harry minor semitone ||
|| [[64_61|64/61]] || 83.115195 || harry minor semitone ||
|| [[21_20|21/20]] || 84.467193 || minor semitone, large septimal chromatic semitone ||
|| [[21_20|21/20]] || 84.467193 || bg2 = bluish 2nd, minor semitone, large septimal chromatic semitone ||
|| [[256_243|256/243]] || 90.224996 || Pythagorean limma, Pythagorean minor second ||
|| [[256_243|256/243]] || 90.224996 || sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second ||
|| [[135_128|135/128]] || 92.178716 || major limma ||
|| [[135_128|135/128]] || 92.178716 || Ly1 = large yellow semitone, major limma, |-7, 3, 1&gt; ||
|| [[18_17|18/17]] || 98.954592 || small septendecimal semitone, Arabic lute index finger ||
|| [[18_17|18/17]] || 98.954592 || u1 = umber semitone, small septendecimal semitone, Arabic lute index finger ||
|| [[17_16|17/16]] || 104.95541 || large septendecimal semitone, octave-reduced 17th harmonic ||
|| [[17_16|17/16]] || 104.95541 || t2 = tan 2nd, large septendecimal semitone, octave-reduced 17th harmonic ||
|| [[16_15|16/15]] || 111.731285 || diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||
|| [[16_15|16/15]] || 111.731285 || g2 = green 2nd, diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||
|| [[2187_2048|2187/2048]] || 113.685006 || apotome ||
|| [[2187_2048|2187/2048]] || 113.685006 || Lw1 = large white semitone, apotome ||
|| [[77_72|77/72]] || 116.233847 || undecimal secor ||
|| [[77_72|77/72]] || 116.233847 || jb2 = jade-blue 2nd, undecimal secor ||
|| [[15_14|15/14]] || 119.442808 || septimal diatonic semitone ||
|| [[15_14|15/14]] || 119.442808 || ry1 = reddish semitone, septimal diatonic semitone ||
|| [[14_13|14/13]] || 128.298245 || 2/3-tone, trienthird, tridecimal supraminor second ||
|| [[14_13|14/13]] || 128.298245 || ob2 = ochre-blue 2nd, 2/3-tone, trienthird, tridecimal supraminor second ||
|| [[27_25|27/25]] || 133.237575 || large limma ||
|| [[27_25|27/25]] || 133.237575 || gg2 = deep green 2nd, large limma ||
|| [[13_12|13/12]] || 138.572661 || tridecimal subtone, tridecimal 2/3-tone ||
|| [[13_12|13/12]] || 138.572661 || e2 = emerald 2nd, tridecimal subtone, tridecimal 2/3-tone ||
|| [[243_224|243/224]] || 140.949098 || septimal subtone ||
|| [[243_224|243/224]] || 140.949098 || Lr1 = large red semitone, septimal subtone, |-5, 5, 0, -1&gt; ||
|| [[88_81|88/81]] || 143.497939 || undecimal subtone ||
|| [[88_81|88/81]] || 143.497939 || j2 = jade 2nd, undecimal subtone ||
|| [[49_45|49/45]] || 147.428097 || swetismic neutral second ||
|| [[49_45|49/45]] || 147.428097 || bbg3 = bluish-blue dim 3rd, swetismic neutral second ||
|| [[12_11|12/11]] || 150.637059 || small undecimal neutral second, 3/4-tone ||
|| [[12_11|12/11]] || 150.637059 || a2 = amber 2nd, small undecimal neutral second, 3/4-tone ||
|| [[35_32|35/32]] || 155.13962 || septimal neutral second ||
|| [[35_32|35/32]] || 155.13962 || yb2 = yellowish 2nd, septimal neutral second ||
|| [[78_71|78/71]] || 162.786119 || porcupine 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 ||
|| [[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 || Zalzal's mujannab ||
|| [[54_49|54/49]] || 168.21319 || rr1 = deep red augmented unison, Zalzal's mujannab ||
|| [[10_9|10/9]] || 182.403712 || minor whole tone ||
|| [[10_9|10/9]] || 182.403712 || y2 = yellow 2nd, minor whole tone ||
|| [[49_44|49/44]] || 186.333871 || werckismic minor second ||
|| [[49_44|49/44]] || 186.333871 || abb3 = amber deep blue dim 3rd, werckismic minor second ||
|| [[xenharmonic/19_17|19/17]] || 192.5576 || quasi-meantone ||
|| [[xenharmonic/19_17|19/17]] || 192.5576 || fu2 = fawn umber 2nd, quasi-meantone ||
|| [[28_25|28/25]] || 196.198479 || middle major second ||
|| [[28_25|28/25]] || 196.198479 || bgg3 = bluish-green dim 3rd, middle major second ||
|| [[55_49|55/49]] || 199.979843 || werckismic tone ||
|| [[55_49|55/49]] || 199.979843 || jrry1 = jade-red reddish double-aug unison, werckismic tone ||
|| [[9_8|9/8]] || 203.910002 || major whole tone, Pythagorean tone, octave-reduced 9th harmonic ||
|| [[9_8|9/8]] || 203.910002 || w2 = white 2nd, major whole tone, Pythagorean tone, octave-reduced 9th harmonic ||
|| [[17_15|17/15]] || 216.686695 || septendecimal whole tone, septendecimal eventone ||
|| [[17_15|17/15]] || 216.686695 || tg3 = tannish dim 3rd, septendecimal whole tone, septendecimal eventone ||
|| [[8_7|8/7]] || 231.174094 || supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic ||
|| [[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 || werckismic supermajor second ||
|| [[63_55|63/55]] || 235.104252 || abg3 = amber bluish dim 3rd, werckismic supermajor second ||
|| [[55_48|55/48]] || 235.676655 || keenanismic supermajor second ||
|| [[55_48|55/48]] || 235.676655 || jy2 = jade-yellow 2nd, keenanismic supermajor second ||
|| [[15_13|15/13]] || 247.741053 || semifourth, tridecimal ultramajor second, tridecimal inframinor third ||
|| [[15_13|15/13]] || 247.741053 || oy2 = ochre-yellow 2nd, semifourth, tridecimal ultramajor second, tridecimal inframinor third ||
|| [[22_19|22/19]] || 253.804926 || minimal minor third, godzilla third ||
|| [[22_19|22/19]] || 253.804926 || kj2 = khaki-jade 2nd, minimal minor third, godzilla third ||
|| [[64_55|64/55]] || 262.368344 || keenanismic subminor third, octave-reduced 55th subharmonic ||
|| [[64_55|64/55]] || 262.368344 || ag3 = amber-green 3rd, keenanismic subminor third, octave-reduced 55th subharmonic ||
|| [[7_6|7/6]] || 266.870906 || subminor third, septimal minor third, augmented second ||
|| [[7_6|7/6]] || 266.870906 || b3 = blue 3rd, subminor third, septimal minor third, augmented second ||
|| [[90_77|90/77]] || 270.079867 || swetismic subminor third ||
|| [[90_77|90/77]] || 270.079867 || ary2 = amber reddish 2nd, swetismic subminor third ||
|| [[62_53|62/53]] || 271.531027 || orwell subminor third ||
|| [[62_53|62/53]] || 271.531027 || orwell subminor third ||
|| [[75_64|75/64]] || 274.582429 || classic augmented second ||
|| [[75_64|75/64]] || 274.582429 || yy2 = deep yellow 2nd, classic augmented second ||
|| [[20_17|20/17]] || 281.358304 || septendecimal augmented second, septendecimal minor third ||
|| [[20_17|20/17]] || 281.358304 || uy2 = umber yellow aug 2nd, septendecimal augmented second, septendecimal minor third ||
|| [[13_11|13/11]] || 289.209179 || tridecimal minor third ||
|| [[13_11|13/11]] || 289.209179 || ea3 = emerald amber 3rd, tridecimal minor third ||
|| [[32_27|32/27]] || 294.134997 || Pythagorean minor third, octave-reduced 27th subharmonic ||
|| [[32_27|32/27]] || 294.134997 || w3 = white 3rd, Pythagorean minor third, octave-reduced 27th subharmonic ||
|| [[19_16|19/16]] || 297.513016 || otonal minor third, octave-reduced 19th harmonic ||
|| [[19_16|19/16]] || 297.513016 || f3 = fawn 3rd, otonal minor third, octave-reduced 19th harmonic ||
|| [[25_21|25/21]] || 301.84652 || quasi-tempered minor third ||
|| [[25_21|25/21]] || 301.84652 || ryy2 = reddish-yellow aug 2nd, quasi-tempered minor third ||
|| [[61_51|61/51]] || 309.974395 || myna third ||
|| [[61_51|61/51]] || 309.974395 || myna third ||
|| [[6_5|6/5]] || 315.641287 || 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 || 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 || large septimal minor third, marvelous minor third ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
Line 247: Line 247:
         &lt;td&gt;0&lt;br /&gt;
         &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Unison, unity, perfect prime, Tonic&lt;br /&gt;
         &lt;td&gt;w1 = unison, unity, perfect prime, Tonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 255: Line 255:
         &lt;td&gt;1.95372&lt;br /&gt;
         &lt;td&gt;1.95372&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;schisma&lt;br /&gt;
         &lt;td&gt;Ly-2 = yellow subcomma, schisma, |-15, 8, 1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 263: Line 263:
         &lt;td&gt;17.399484&lt;br /&gt;
         &lt;td&gt;17.399484&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Ptolemy's comma&lt;br /&gt;
         &lt;td&gt;ayy1 = amber deep yellow comma, Ptolemy's comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 271: Line 271:
         &lt;td&gt;17.576131&lt;br /&gt;
         &lt;td&gt;17.576131&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Mothwellsma&lt;br /&gt;
         &lt;td&gt;jrr-2 = jade deep red comma, Mothwellsma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 279: Line 279:
         &lt;td&gt;21.506286&lt;br /&gt;
         &lt;td&gt;21.506286&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Syntonic comma, Didymus comma&lt;br /&gt;
         &lt;td&gt;g1 = green comma, Syntonic comma, Didymus comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 287: Line 287:
         &lt;td&gt;23.46001&lt;br /&gt;
         &lt;td&gt;23.46001&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean comma, Ditonic comma&lt;br /&gt;
         &lt;td&gt;LLw-2 = white comma, Pythagorean comma, Ditonic comma, |-19, 12&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 295: Line 295:
         &lt;td&gt;26.431568&lt;br /&gt;
         &lt;td&gt;26.431568&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Winmeanma&lt;br /&gt;
         &lt;td&gt;ojg1 = oche-jadish comma, Winmeanma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 303: Line 303:
         &lt;td&gt;26.841376&lt;br /&gt;
         &lt;td&gt;26.841376&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Wilsorma, 13th-partial chroma&lt;br /&gt;
         &lt;td&gt;ey1 = emerald-yellow comma, Wilsorma, 13th-partial chroma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 311: Line 311:
         &lt;td&gt;27.264092&lt;br /&gt;
         &lt;td&gt;27.264092&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Septimal comma, Archytas' comma&lt;br /&gt;
         &lt;td&gt;r1 = red comma, Septimal comma, Archytas' comma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 319: Line 319:
         &lt;td&gt;29.613568&lt;br /&gt;
         &lt;td&gt;29.613568&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Magic comma, small diesis&lt;br /&gt;
         &lt;td&gt;Ly&lt;span style="vertical-align: super;"&gt;5&lt;/span&gt;-2 = quintuple yellow comma, Magic comma, small diesis, |-10, -1, 5&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 327: Line 327:
         &lt;td&gt;34.975615&lt;br /&gt;
         &lt;td&gt;34.975615&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis&lt;br /&gt;
         &lt;td&gt;rryy-2 = deep reddish comma, septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 335: Line 335:
         &lt;td&gt;35.696812&lt;br /&gt;
         &lt;td&gt;35.696812&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;large septimal diesis, slendro diesis&lt;br /&gt;
         &lt;td&gt;bb2 = deep blue comma, large septimal diesis, slendro diesis&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 343: Line 343:
         &lt;td&gt;38.905773&lt;br /&gt;
         &lt;td&gt;38.905773&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal 1/5th tone&lt;br /&gt;
         &lt;td&gt;ay1 = amber-yellow comma, undecimal 1/5th tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 351: Line 351:
         &lt;td&gt;41.058858&lt;br /&gt;
         &lt;td&gt;41.058858&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diesis, minor diesis, augmented comma, enharmonic comma&lt;br /&gt;
         &lt;td&gt;g&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;2 = triple green comma, Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 359: Line 359:
         &lt;td&gt;43.408335&lt;br /&gt;
         &lt;td&gt;43.408335&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Avicenna's enharmonic diesis&lt;br /&gt;
         &lt;td&gt;Lyyb1 = large blue deep yellow comma, Avicenna's enharmonic diesis, |-9, 1, 2, 1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 367: Line 367:
         &lt;td&gt;48.770381&lt;br /&gt;
         &lt;td&gt;48.770381&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal quarter tone&lt;br /&gt;
         &lt;td&gt;gr1 = greenish comma, double comma, septimal quarter tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 375: Line 375:
         &lt;td&gt;49.166137&lt;br /&gt;
         &lt;td&gt;49.166137&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Porcupine comma&lt;br /&gt;
         &lt;td&gt;y&lt;span style="vertical-align: super;"&gt;3&lt;/span&gt;1 = triple yellow comma, Porcupine comma, |1, -5, 3&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 383: Line 383:
         &lt;td&gt;50.724102&lt;br /&gt;
         &lt;td&gt;50.724102&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Harrison's comma&lt;br /&gt;
         &lt;td&gt;Lr-2 = large red comma, Harrison's comma, |-13, 10, 0, -1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 399: Line 399:
         &lt;td&gt;53.272943&lt;br /&gt;
         &lt;td&gt;53.272943&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic&lt;br /&gt;
         &lt;td&gt;j1 = jade quarter-tone, undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 407: Line 407:
         &lt;td&gt;62.565148&lt;br /&gt;
         &lt;td&gt;62.565148&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;diminished comma, major diesis&lt;br /&gt;
         &lt;td&gt;g&lt;span style="vertical-align: super;"&gt;4&lt;/span&gt;2 = quadruple green 2nd, diminished comma, major diesis, |8, 4, -4&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 415: Line 415:
         &lt;td&gt;62.960904&lt;br /&gt;
         &lt;td&gt;62.960904&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal chroma, small septimal chromatic semitone, septimal subminor second&lt;br /&gt;
         &lt;td&gt;b2 = blue 2nd, septimal chroma, small septimal chromatic semitone, septimal subminor second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 423: Line 423:
         &lt;td&gt;70.672427&lt;br /&gt;
         &lt;td&gt;70.672427&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;chroma, chromatic semitone, Zarlinian semitone&lt;br /&gt;
         &lt;td&gt;yy1 = deep yellow semitone, chroma, chromatic semitone, Zarlinian semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 431: Line 431:
         &lt;td&gt;78.114034&lt;br /&gt;
         &lt;td&gt;78.114034&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;valentine semitone&lt;br /&gt;
         &lt;td&gt;tog2 = tannish ocher 2nd, valentine semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 439: Line 439:
         &lt;td&gt;80.537035&lt;br /&gt;
         &lt;td&gt;80.537035&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal minor semitone&lt;br /&gt;
         &lt;td&gt;jr1 = jade-red semitone, undecimal minor semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 455: Line 455:
         &lt;td&gt;84.467193&lt;br /&gt;
         &lt;td&gt;84.467193&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;minor semitone, large septimal chromatic semitone&lt;br /&gt;
         &lt;td&gt;bg2 = bluish 2nd, minor semitone, large septimal chromatic semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 463: Line 463:
         &lt;td&gt;90.224996&lt;br /&gt;
         &lt;td&gt;90.224996&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean limma, Pythagorean minor second&lt;br /&gt;
         &lt;td&gt;sw2 = small white 2nd, Pythagorean limma, Pythagorean minor second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 471: Line 471:
         &lt;td&gt;92.178716&lt;br /&gt;
         &lt;td&gt;92.178716&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;major limma&lt;br /&gt;
         &lt;td&gt;Ly1 = large yellow semitone, major limma, |-7, 3, 1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 479: Line 479:
         &lt;td&gt;98.954592&lt;br /&gt;
         &lt;td&gt;98.954592&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small septendecimal semitone, Arabic lute index finger&lt;br /&gt;
         &lt;td&gt;u1 = umber semitone, small septendecimal semitone, Arabic lute index finger&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 487: Line 487:
         &lt;td&gt;104.95541&lt;br /&gt;
         &lt;td&gt;104.95541&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;large septendecimal semitone, octave-reduced 17th harmonic&lt;br /&gt;
         &lt;td&gt;t2 = tan 2nd, large septendecimal semitone, octave-reduced 17th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 495: Line 495:
         &lt;td&gt;111.731285&lt;br /&gt;
         &lt;td&gt;111.731285&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;diatonic semitone, classic minor second, octave-reduced 15th subharmonic&lt;br /&gt;
         &lt;td&gt;g2 = green 2nd, diatonic semitone, classic minor second, octave-reduced 15th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 503: Line 503:
         &lt;td&gt;113.685006&lt;br /&gt;
         &lt;td&gt;113.685006&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;apotome&lt;br /&gt;
         &lt;td&gt;Lw1 = large white semitone, apotome&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 511: Line 511:
         &lt;td&gt;116.233847&lt;br /&gt;
         &lt;td&gt;116.233847&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal secor&lt;br /&gt;
         &lt;td&gt;jb2 = jade-blue 2nd, undecimal secor&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 519: Line 519:
         &lt;td&gt;119.442808&lt;br /&gt;
         &lt;td&gt;119.442808&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal diatonic semitone&lt;br /&gt;
         &lt;td&gt;ry1 = reddish semitone, septimal diatonic semitone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 527: Line 527:
         &lt;td&gt;128.298245&lt;br /&gt;
         &lt;td&gt;128.298245&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2/3-tone, trienthird, tridecimal supraminor second&lt;br /&gt;
         &lt;td&gt;ob2 = ochre-blue 2nd, 2/3-tone, trienthird, tridecimal supraminor second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 535: Line 535:
         &lt;td&gt;133.237575&lt;br /&gt;
         &lt;td&gt;133.237575&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;large limma&lt;br /&gt;
         &lt;td&gt;gg2 = deep green 2nd, large limma&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 543: Line 543:
         &lt;td&gt;138.572661&lt;br /&gt;
         &lt;td&gt;138.572661&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;tridecimal subtone, tridecimal 2/3-tone&lt;br /&gt;
         &lt;td&gt;e2 = emerald 2nd, tridecimal subtone, tridecimal 2/3-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 551: Line 551:
         &lt;td&gt;140.949098&lt;br /&gt;
         &lt;td&gt;140.949098&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal subtone&lt;br /&gt;
         &lt;td&gt;Lr1 = large red semitone, septimal subtone, |-5, 5, 0, -1&amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 559: Line 559:
         &lt;td&gt;143.497939&lt;br /&gt;
         &lt;td&gt;143.497939&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal subtone&lt;br /&gt;
         &lt;td&gt;j2 = jade 2nd, undecimal subtone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 567: Line 567:
         &lt;td&gt;147.428097&lt;br /&gt;
         &lt;td&gt;147.428097&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;swetismic neutral second&lt;br /&gt;
         &lt;td&gt;bbg3 = bluish-blue dim 3rd, swetismic neutral second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 575: Line 575:
         &lt;td&gt;150.637059&lt;br /&gt;
         &lt;td&gt;150.637059&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small undecimal neutral second, 3/4-tone&lt;br /&gt;
         &lt;td&gt;a2 = amber 2nd, small undecimal neutral second, 3/4-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 583: Line 583:
         &lt;td&gt;155.13962&lt;br /&gt;
         &lt;td&gt;155.13962&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septimal neutral second&lt;br /&gt;
         &lt;td&gt;yb2 = yellowish 2nd, septimal neutral second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 599: Line 599:
         &lt;td&gt;165.004228&lt;br /&gt;
         &lt;td&gt;165.004228&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;large undecimal neutral second, 4/5-tone, Ptolemy's second&lt;br /&gt;
         &lt;td&gt;jg2 = jade-green 2nd, large undecimal neutral second, 4/5-tone, Ptolemy's second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 607: Line 607:
         &lt;td&gt;168.21319&lt;br /&gt;
         &lt;td&gt;168.21319&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Zalzal's mujannab&lt;br /&gt;
         &lt;td&gt;rr1 = deep red augmented unison, Zalzal's mujannab&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 615: Line 615:
         &lt;td&gt;182.403712&lt;br /&gt;
         &lt;td&gt;182.403712&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;minor whole tone&lt;br /&gt;
         &lt;td&gt;y2 = yellow 2nd, minor whole tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 623: Line 623:
         &lt;td&gt;186.333871&lt;br /&gt;
         &lt;td&gt;186.333871&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;werckismic minor second&lt;br /&gt;
         &lt;td&gt;abb3 = amber deep blue dim 3rd, werckismic minor second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 631: Line 631:
         &lt;td&gt;192.5576&lt;br /&gt;
         &lt;td&gt;192.5576&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;quasi-meantone&lt;br /&gt;
         &lt;td&gt;fu2 = fawn umber 2nd, quasi-meantone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 639: Line 639:
         &lt;td&gt;196.198479&lt;br /&gt;
         &lt;td&gt;196.198479&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;middle major second&lt;br /&gt;
         &lt;td&gt;bgg3 = bluish-green dim 3rd, middle major second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 647: Line 647:
         &lt;td&gt;199.979843&lt;br /&gt;
         &lt;td&gt;199.979843&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;werckismic tone&lt;br /&gt;
         &lt;td&gt;jrry1 = jade-red reddish double-aug unison, werckismic tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 655: Line 655:
         &lt;td&gt;203.910002&lt;br /&gt;
         &lt;td&gt;203.910002&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;major whole tone, Pythagorean tone, octave-reduced 9th harmonic&lt;br /&gt;
         &lt;td&gt;w2 = white 2nd, major whole tone, Pythagorean tone, octave-reduced 9th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 663: Line 663:
         &lt;td&gt;216.686695&lt;br /&gt;
         &lt;td&gt;216.686695&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal whole tone, septendecimal eventone&lt;br /&gt;
         &lt;td&gt;tg3 = tannish dim 3rd, septendecimal whole tone, septendecimal eventone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 671: Line 671:
         &lt;td&gt;231.174094&lt;br /&gt;
         &lt;td&gt;231.174094&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic&lt;br /&gt;
         &lt;td&gt;r2 = red 2nd, supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 679: Line 679:
         &lt;td&gt;235.104252&lt;br /&gt;
         &lt;td&gt;235.104252&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;werckismic supermajor second&lt;br /&gt;
         &lt;td&gt;abg3 = amber bluish dim 3rd, werckismic supermajor second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 687: Line 687:
         &lt;td&gt;235.676655&lt;br /&gt;
         &lt;td&gt;235.676655&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;keenanismic supermajor second&lt;br /&gt;
         &lt;td&gt;jy2 = jade-yellow 2nd, keenanismic supermajor second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 695: Line 695:
         &lt;td&gt;247.741053&lt;br /&gt;
         &lt;td&gt;247.741053&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;semifourth, tridecimal ultramajor second, tridecimal inframinor third&lt;br /&gt;
         &lt;td&gt;oy2 = ochre-yellow 2nd, semifourth, tridecimal ultramajor second, tridecimal inframinor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 703: Line 703:
         &lt;td&gt;253.804926&lt;br /&gt;
         &lt;td&gt;253.804926&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;minimal minor third, godzilla third&lt;br /&gt;
         &lt;td&gt;kj2 = khaki-jade 2nd, minimal minor third, godzilla third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 711: Line 711:
         &lt;td&gt;262.368344&lt;br /&gt;
         &lt;td&gt;262.368344&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;keenanismic subminor third, octave-reduced 55th subharmonic&lt;br /&gt;
         &lt;td&gt;ag3 = amber-green 3rd, keenanismic subminor third, octave-reduced 55th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 719: Line 719:
         &lt;td&gt;266.870906&lt;br /&gt;
         &lt;td&gt;266.870906&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;subminor third, septimal minor third, augmented second&lt;br /&gt;
         &lt;td&gt;b3 = blue 3rd, subminor third, septimal minor third, augmented second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 727: Line 727:
         &lt;td&gt;270.079867&lt;br /&gt;
         &lt;td&gt;270.079867&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;swetismic subminor third&lt;br /&gt;
         &lt;td&gt;ary2 = amber reddish 2nd, swetismic subminor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 743: Line 743:
         &lt;td&gt;274.582429&lt;br /&gt;
         &lt;td&gt;274.582429&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;classic augmented second&lt;br /&gt;
         &lt;td&gt;yy2 = deep yellow 2nd, classic augmented second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 751: Line 751:
         &lt;td&gt;281.358304&lt;br /&gt;
         &lt;td&gt;281.358304&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;septendecimal augmented second, septendecimal minor third&lt;br /&gt;
         &lt;td&gt;uy2 = umber yellow aug 2nd, septendecimal augmented second, septendecimal minor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 759: Line 759:
         &lt;td&gt;289.209179&lt;br /&gt;
         &lt;td&gt;289.209179&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;tridecimal minor third&lt;br /&gt;
         &lt;td&gt;ea3 = emerald amber 3rd, tridecimal minor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 767: Line 767:
         &lt;td&gt;294.134997&lt;br /&gt;
         &lt;td&gt;294.134997&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean minor third, octave-reduced 27th subharmonic&lt;br /&gt;
         &lt;td&gt;w3 = white 3rd, Pythagorean minor third, octave-reduced 27th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 775: Line 775:
         &lt;td&gt;297.513016&lt;br /&gt;
         &lt;td&gt;297.513016&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;otonal minor third, octave-reduced 19th harmonic&lt;br /&gt;
         &lt;td&gt;f3 = fawn 3rd, otonal minor third, octave-reduced 19th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 783: Line 783:
         &lt;td&gt;301.84652&lt;br /&gt;
         &lt;td&gt;301.84652&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;quasi-tempered minor third&lt;br /&gt;
         &lt;td&gt;ryy2 = reddish-yellow aug 2nd, quasi-tempered minor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 799: Line 799:
         &lt;td&gt;315.641287&lt;br /&gt;
         &lt;td&gt;315.641287&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;minor third, pental minor third&lt;br /&gt;
         &lt;td&gt;g3 = green 3rd, minor third, pental minor third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 807: Line 807:
         &lt;td&gt;320.143849&lt;br /&gt;
         &lt;td&gt;320.143849&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;keenanismic minor third, octave-reduced 77th harmonic&lt;br /&gt;
         &lt;td&gt;jb3 = jade blue 3rd, keenanismic minor third, octave-reduced 77th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 03:36, 25 October 2016

IMPORTED REVISION FROM WIKISPACES

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This revision was by author TallKite and made on 2016-10-25 03:36:52 UTC.
The original revision id was 596799000.
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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 || 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 || 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 ||
|| 625/512 || <span style="background-color: #ffffff;">345.254855</span> || 5-limit neutral 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 ||
|| 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 || 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, septimal 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 ||
|| 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>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>625/512<br />
</td>
        <td><span style="background-color: #ffffff;">345.254855</span><br />
</td>
        <td>5-limit neutral 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>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>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, 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>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>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 />
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