Gallery of just intervals: Difference between revisions
Jump to navigation
Jump to search
Wikispaces>TallKite **Imported revision 597027556 - Original comment: ** |
Wikispaces>TallKite **Imported revision 597613354 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10- | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-10-31 23:12:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597613354</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 25: | Line 25: | ||
||~ frequency ratio ||~ cents value | ||~ frequency ratio ||~ cents value | ||
(six decimal places) ||~ [[Kite's color notation|Color notation]] ||~ some common names || | |||
|| [[1_1|1/1]] || 0 || w1 = unison || unity, perfect prime, Tonic || | |||
|| [[32805_32768|32805/32768]] || 1.95372 || Ly-2 = yellow subcomm || schisma, |-15, 8, 1> || | |||
|| 225/224 || 7.712 || ryy-2 = reddish-yellow subcomma || |-5, 2, 2, -1> || | |||
|| [[100_99|100/99]] || 17.399484 || ayy1 = amber deep yellow comma || Ptolemy's comma || | |||
|| [[99_98|99/98]] || 17.576131 || jrr- | |||
=Links= | =Links= | ||
[[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt|Regions of the Interval Spectrum]] by Margo Schulter [[http://www.webcitation.org/5xeoz4zmC|Permalink]] | [[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.huygens-fokker.org/docs/intervals.html|Manuel Op de Coul interval list]] | ||
| Line 250: | Line 250: | ||
<th>cents value<br /> | <th>cents value<br /> | ||
(six decimal places)<br /> | (six decimal places)<br /> | ||
</th> | |||
<th><a class="wiki_link" href="/Kite%27s%20color%20notation">Color notation</a><br /> | |||
</th> | </th> | ||
<th>some common names<br /> | <th>some common names<br /> | ||
| Line 259: | Line 261: | ||
<td>0<br /> | <td>0<br /> | ||
</td> | </td> | ||
<td>w1 = unison | <td>w1 = unison<br /> | ||
</td> | |||
<td>unity, perfect prime, Tonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 267: | Line 271: | ||
<td>1.95372<br /> | <td>1.95372<br /> | ||
</td> | </td> | ||
<td>Ly-2 = yellow | <td>Ly-2 = yellow subcomm<br /> | ||
</td> | |||
<td>schisma, |-15, 8, 1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 275: | Line 281: | ||
<td>7.712<br /> | <td>7.712<br /> | ||
</td> | </td> | ||
<td>ryy-2 = reddish-yellow subcomma | <td>ryy-2 = reddish-yellow subcomma<br /> | ||
</td> | |||
<td>|-5, 2, 2, -1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 283: | Line 291: | ||
<td>17.399484<br /> | <td>17.399484<br /> | ||
</td> | </td> | ||
<td>ayy1 = amber deep yellow comma | <td>ayy1 = amber deep yellow comma<br /> | ||
</td> | |||
<td>Ptolemy's comma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 291: | Line 301: | ||
<td>17.576131<br /> | <td>17.576131<br /> | ||
</td> | </td> | ||
<td>jrr-2 = jade deep red comma | <td>jrr-2 = jade deep red comma<br /> | ||
</td> | |||
<td>Mothwellsma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 299: | Line 311: | ||
<td>19.553<br /> | <td>19.553<br /> | ||
</td> | </td> | ||
<td>sgg2 = small deep green comma | <td>sgg2 = small deep green comma<br /> | ||
</td> | |||
<td>|11, -4, -2&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 307: | Line 321: | ||
<td>21.506286<br /> | <td>21.506286<br /> | ||
</td> | </td> | ||
<td>g1 = green comma | <td>g1 = green comma<br /> | ||
</td> | |||
<td>Syntonic comma, Didymus comma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 315: | Line 331: | ||
<td>23.46001<br /> | <td>23.46001<br /> | ||
</td> | </td> | ||
<td>LLw-2 = white comma | <td>LLw-2 = white comma<br /> | ||
</td> | |||
<td>Pythagorean comma, Ditonic comma, |-19, 12&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 323: | Line 341: | ||
<td>26.431568<br /> | <td>26.431568<br /> | ||
</td> | </td> | ||
<td>ojg1 = oche-jadish comma | <td>ojg1 = oche-jadish comma<br /> | ||
</td> | |||
<td>Winmeanma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 331: | Line 351: | ||
<td>26.841376<br /> | <td>26.841376<br /> | ||
</td> | </td> | ||
<td>ey1 = emerald-yellow comma | <td>ey1 = emerald-yellow comma<br /> | ||
</td> | |||
<td>Wilsorma, 13th-partial chroma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 339: | Line 361: | ||
<td>27.264092<br /> | <td>27.264092<br /> | ||
</td> | </td> | ||
<td>r1 = red comma, Septimal comma, Archytas' comma<br /> | <td>r1 = red comma,<br /> | ||
</td> | |||
<td>Septimal comma, Archytas' comma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 347: | Line 371: | ||
<td>29.613568<br /> | <td>29.613568<br /> | ||
</td> | </td> | ||
<td>Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma | <td>Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma<br /> | ||
</td> | |||
<td>Magic comma, small diesis, |-10, -1, 5&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 355: | Line 381: | ||
<td>34.975615<br /> | <td>34.975615<br /> | ||
</td> | </td> | ||
<td>rryy-2 = deep reddish comma | <td>rryy-2 = deep reddish comma<br /> | ||
</td> | |||
<td>septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 363: | Line 391: | ||
<td>35.696812<br /> | <td>35.696812<br /> | ||
</td> | </td> | ||
<td>bb2 = deep blue comma | <td>bb2 = deep blue comma<br /> | ||
</td> | |||
<td>large septimal diesis, slendro diesis<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 371: | Line 401: | ||
<td>38.905773<br /> | <td>38.905773<br /> | ||
</td> | </td> | ||
<td>ay1 = amber-yellow comma | <td>ay1 = amber-yellow comma<br /> | ||
</td> | |||
<td>undecimal 1/5th tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 379: | Line 411: | ||
<td>41.058858<br /> | <td>41.058858<br /> | ||
</td> | </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>g<span style="vertical-align: super;">3</span>2 = triple green comma,<br /> | ||
</td> | |||
<td>Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 387: | Line 421: | ||
<td>43.408335<br /> | <td>43.408335<br /> | ||
</td> | </td> | ||
<td>Lyyb1 = large blue deep yellow comma | <td>Lyyb1 = large blue deep yellow comma<br /> | ||
</td> | |||
<td>Avicenna's enharmonic diesis, |-9, 1, 2, 1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 395: | Line 431: | ||
<td>48.770381<br /> | <td>48.770381<br /> | ||
</td> | </td> | ||
<td>gr1 = greenish comma | <td>gr1 = greenish comma<br /> | ||
</td> | |||
<td>double comma, septimal quarter tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 403: | Line 441: | ||
<td>49.166137<br /> | <td>49.166137<br /> | ||
</td> | </td> | ||
<td>y<span style="vertical-align: super;">3</span>1 = triple yellow comma | <td>y<span style="vertical-align: super;">3</span>1 = triple yellow comma<br /> | ||
</td> | |||
<td>Porcupine comma, |1, -5, 3&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 411: | Line 451: | ||
<td>50.724102<br /> | <td>50.724102<br /> | ||
</td> | </td> | ||
<td>Lr-2 = large red comma | <td>Lr-2 = large red comma<br /> | ||
</td> | |||
<td>Harrison's comma, |-13, 10, 0, -1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 418: | Line 460: | ||
</td> | </td> | ||
<td>52.732017<br /> | <td>52.732017<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>shrutar quarter tone<br /> | <td>shrutar quarter tone<br /> | ||
| Line 427: | Line 471: | ||
<td>53.272943<br /> | <td>53.272943<br /> | ||
</td> | </td> | ||
<td>j1 = jade quarter-tone | <td>j1 = jade quarter-tone<br /> | ||
</td> | |||
<td>undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 435: | Line 481: | ||
<td>62.565148<br /> | <td>62.565148<br /> | ||
</td> | </td> | ||
<td>g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd | <td>g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd<br /> | ||
</td> | |||
<td>diminished comma, major diesis, |8, 4, -4&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 443: | Line 491: | ||
<td>62.960904<br /> | <td>62.960904<br /> | ||
</td> | </td> | ||
<td>b2 = blue 2nd | <td>b2 = blue 2nd<br /> | ||
</td> | |||
<td>septimal chroma, small septimal chromatic semitone, septimal subminor second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 451: | Line 501: | ||
<td>70.672427<br /> | <td>70.672427<br /> | ||
</td> | </td> | ||
<td>yy1 = deep yellow semitone | <td>yy1 = deep yellow semitone<br /> | ||
</td> | |||
<td>chroma, chromatic semitone, Zarlinian semitone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 459: | Line 511: | ||
<td>78.114034<br /> | <td>78.114034<br /> | ||
</td> | </td> | ||
<td>tog2 = tannish ocher 2nd | <td>tog2 = tannish ocher 2nd<br /> | ||
</td> | |||
<td>valentine semitone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 467: | Line 521: | ||
<td>80.537035<br /> | <td>80.537035<br /> | ||
</td> | </td> | ||
<td>jr1 = jade-red semitone | <td>jr1 = jade-red semitone<br /> | ||
</td> | |||
<td>undecimal minor semitone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 474: | Line 530: | ||
</td> | </td> | ||
<td>83.115195<br /> | <td>83.115195<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>harry minor semitone<br /> | <td>harry minor semitone<br /> | ||
| Line 483: | Line 541: | ||
<td>84.467193<br /> | <td>84.467193<br /> | ||
</td> | </td> | ||
<td>bg2 = bluish 2nd | <td>bg2 = bluish 2nd<br /> | ||
</td> | |||
<td>minor semitone, large septimal chromatic semitone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 491: | Line 551: | ||
<td>90.224996<br /> | <td>90.224996<br /> | ||
</td> | </td> | ||
<td>sw2 = small white 2nd | <td>sw2 = small white 2nd<br /> | ||
</td> | |||
<td>Pythagorean limma, Pythagorean minor second, |8, -5&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 499: | Line 561: | ||
<td>92.178716<br /> | <td>92.178716<br /> | ||
</td> | </td> | ||
<td>Ly1 = large yellow semitone | <td>Ly1 = large yellow semitone<br /> | ||
</td> | |||
<td>major limma, |-7, 3, 1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 507: | Line 571: | ||
<td>98.954592<br /> | <td>98.954592<br /> | ||
</td> | </td> | ||
<td>u1 = umber semitone | <td>u1 = umber semitone<br /> | ||
</td> | |||
<td>small septendecimal semitone, Arabic lute index finger<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 515: | Line 581: | ||
<td>104.95541<br /> | <td>104.95541<br /> | ||
</td> | </td> | ||
<td>t2 = tan 2nd | <td>t2 = tan 2nd<br /> | ||
</td> | |||
<td>large septendecimal semitone, octave-reduced 17th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 523: | Line 591: | ||
<td>111.731285<br /> | <td>111.731285<br /> | ||
</td> | </td> | ||
<td>g2 = green 2nd | <td>g2 = green 2nd<br /> | ||
</td> | |||
<td>diatonic semitone, classic minor second, octave-reduced 15th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 531: | Line 601: | ||
<td>113.685006<br /> | <td>113.685006<br /> | ||
</td> | </td> | ||
<td>Lw1 = large white semitone | <td>Lw1 = large white semitone<br /> | ||
</td> | |||
<td>apotome, |-11, 7&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 539: | Line 611: | ||
<td>116.233847<br /> | <td>116.233847<br /> | ||
</td> | </td> | ||
<td>jb2 = jade-blue 2nd | <td>jb2 = jade-blue 2nd<br /> | ||
</td> | |||
<td>undecimal secor<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 547: | Line 621: | ||
<td>119.442808<br /> | <td>119.442808<br /> | ||
</td> | </td> | ||
<td>ry1 = reddish semitone | <td>ry1 = reddish semitone<br /> | ||
</td> | |||
<td>septimal diatonic semitone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 555: | Line 631: | ||
<td>128.298245<br /> | <td>128.298245<br /> | ||
</td> | </td> | ||
<td>ob2 = ochre-blue 2nd | <td>ob2 = ochre-blue 2nd<br /> | ||
</td> | |||
<td>2/3-tone, trienthird, tridecimal supraminor second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 563: | Line 641: | ||
<td>133.237575<br /> | <td>133.237575<br /> | ||
</td> | </td> | ||
<td>gg2 = deep green 2nd | <td>gg2 = deep green 2nd<br /> | ||
</td> | |||
<td>large limma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 571: | Line 651: | ||
<td>138.572661<br /> | <td>138.572661<br /> | ||
</td> | </td> | ||
<td>e2 = emerald 2nd | <td>e2 = emerald 2nd<br /> | ||
</td> | |||
<td>tridecimal subtone, tridecimal 2/3-tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 579: | Line 661: | ||
<td>140.949098<br /> | <td>140.949098<br /> | ||
</td> | </td> | ||
<td>Lr1 = large red semitone | <td>Lr1 = large red semitone<br /> | ||
</td> | |||
<td>septimal subtone, |-5, 5, 0, -1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 587: | Line 671: | ||
<td>143.497939<br /> | <td>143.497939<br /> | ||
</td> | </td> | ||
<td>j2 = jade 2nd | <td>j2 = jade 2nd<br /> | ||
</td> | |||
<td>undecimal subtone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 595: | Line 681: | ||
<td>147.428097<br /> | <td>147.428097<br /> | ||
</td> | </td> | ||
<td>bbg3 = bluish-blue dim 3rd | <td>bbg3 = bluish-blue dim 3rd<br /> | ||
</td> | |||
<td>swetismic neutral second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 603: | Line 691: | ||
<td>150.637059<br /> | <td>150.637059<br /> | ||
</td> | </td> | ||
<td>a2 = amber 2nd | <td>a2 = amber 2nd<br /> | ||
</td> | |||
<td>small undecimal neutral second, 3/4-tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 611: | Line 701: | ||
<td>155.13962<br /> | <td>155.13962<br /> | ||
</td> | </td> | ||
<td>yb2 = yellowish 2nd | <td>yb2 = yellowish 2nd<br /> | ||
</td> | |||
<td>septimal neutral second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 618: | Line 710: | ||
</td> | </td> | ||
<td>162.786119<br /> | <td>162.786119<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>porcupine neutral second<br /> | <td>porcupine neutral second<br /> | ||
| Line 627: | Line 721: | ||
<td>165.004228<br /> | <td>165.004228<br /> | ||
</td> | </td> | ||
<td>jg2 = jadish 2nd | <td>jg2 = jadish 2nd<br /> | ||
</td> | |||
<td>large undecimal neutral second, 4/5-tone, Ptolemy's second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 635: | Line 731: | ||
<td>168.21319<br /> | <td>168.21319<br /> | ||
</td> | </td> | ||
<td>rr1 = deep red augmented unison | <td>rr1 = deep red augmented unison<br /> | ||
</td> | |||
<td>Zalzal's mujannab<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 643: | Line 741: | ||
<td>182.403712<br /> | <td>182.403712<br /> | ||
</td> | </td> | ||
<td>y2 = yellow 2nd | <td>y2 = yellow 2nd<br /> | ||
</td> | |||
<td>minor whole tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 651: | Line 751: | ||
<td>186.333871<br /> | <td>186.333871<br /> | ||
</td> | </td> | ||
<td>abb3 = amber deep blue dim 3rd | <td>abb3 = amber deep blue dim 3rd<br /> | ||
</td> | |||
<td>werckismic minor second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 659: | Line 761: | ||
<td>192.5576<br /> | <td>192.5576<br /> | ||
</td> | </td> | ||
<td>fu2 = fawn umber 2nd | <td>fu2 = fawn umber 2nd<br /> | ||
</td> | |||
<td>quasi-meantone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 667: | Line 771: | ||
<td>196.198479<br /> | <td>196.198479<br /> | ||
</td> | </td> | ||
<td>bgg3 = bluish-green dim 3rd | <td>bgg3 = bluish-green dim 3rd<br /> | ||
</td> | |||
<td>middle major second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 675: | Line 781: | ||
<td>199.979843<br /> | <td>199.979843<br /> | ||
</td> | </td> | ||
<td>jrry1 = jade-red reddish double-aug unison | <td>jrry1 = jade-red reddish double-aug unison<br /> | ||
</td> | |||
<td>werckismic tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 683: | Line 791: | ||
<td>203.910002<br /> | <td>203.910002<br /> | ||
</td> | </td> | ||
<td>w2 = white 2nd, major whole tone | <td>w2 = white 2nd, major whole tone<br /> | ||
</td> | |||
<td>Pythagorean tone, octave-reduced 9th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 691: | Line 801: | ||
<td>216.686695<br /> | <td>216.686695<br /> | ||
</td> | </td> | ||
<td>tg3 = tannish dim 3rd | <td>tg3 = tannish dim 3rd<br /> | ||
</td> | |||
<td>septendecimal whole tone, septendecimal eventone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 699: | Line 811: | ||
<td>231.174094<br /> | <td>231.174094<br /> | ||
</td> | </td> | ||
<td>r2 = red 2nd | <td>r2 = red 2nd<br /> | ||
</td> | |||
<td>supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 707: | Line 821: | ||
<td>235.104252<br /> | <td>235.104252<br /> | ||
</td> | </td> | ||
<td>abg3 = amber bluish dim 3rd | <td>abg3 = amber bluish dim 3rd<br /> | ||
</td> | |||
<td>werckismic supermajor second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 715: | Line 831: | ||
<td>235.676655<br /> | <td>235.676655<br /> | ||
</td> | </td> | ||
<td>jy2 = jade-yellow 2nd | <td>jy2 = jade-yellow 2nd<br /> | ||
</td> | |||
<td>keenanismic supermajor second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 723: | Line 841: | ||
<td>247.741053<br /> | <td>247.741053<br /> | ||
</td> | </td> | ||
<td>oy2 = ochre-yellow 2nd | <td>oy2 = ochre-yellow 2nd<br /> | ||
</td> | |||
<td>semifourth, tridecimal ultramajor second, tridecimal inframinor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 731: | Line 851: | ||
<td>253.804926<br /> | <td>253.804926<br /> | ||
</td> | </td> | ||
<td>kj2 = khaki-jade 2nd | <td>kj2 = khaki-jade 2nd<br /> | ||
</td> | |||
<td>minimal minor third, godzilla third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 739: | Line 861: | ||
<td>262.368344<br /> | <td>262.368344<br /> | ||
</td> | </td> | ||
<td>ag3 = amber-green 3rd | <td>ag3 = amber-green 3rd<br /> | ||
</td> | |||
<td>keenanismic subminor third, octave-reduced 55th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 747: | Line 871: | ||
<td>266.870906<br /> | <td>266.870906<br /> | ||
</td> | </td> | ||
<td>b3 = blue 3rd | <td>b3 = blue 3rd<br /> | ||
</td> | |||
<td>subminor third, septimal minor third, augmented second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 755: | Line 881: | ||
<td>270.079867<br /> | <td>270.079867<br /> | ||
</td> | </td> | ||
<td>ary2 = amber reddish 2nd | <td>ary2 = amber reddish 2nd<br /> | ||
</td> | |||
<td>swetismic subminor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 762: | Line 890: | ||
</td> | </td> | ||
<td>271.531027<br /> | <td>271.531027<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>orwell subminor third<br /> | <td>orwell subminor third<br /> | ||
| Line 771: | Line 901: | ||
<td>274.582429<br /> | <td>274.582429<br /> | ||
</td> | </td> | ||
<td>yy2 = deep yellow 2nd | <td>yy2 = deep yellow 2nd<br /> | ||
</td> | |||
<td>classic augmented second<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 779: | Line 911: | ||
<td>281.358304<br /> | <td>281.358304<br /> | ||
</td> | </td> | ||
<td>uy2 = umber yellow aug 2nd | <td>uy2 = umber yellow aug 2nd<br /> | ||
</td> | |||
<td>septendecimal augmented second, septendecimal minor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 787: | Line 921: | ||
<td>289.209179<br /> | <td>289.209179<br /> | ||
</td> | </td> | ||
<td>ea3 = emerald amber 3rd | <td>ea3 = emerald amber 3rd<br /> | ||
</td> | |||
<td>tridecimal minor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 795: | Line 931: | ||
<td>294.134997<br /> | <td>294.134997<br /> | ||
</td> | </td> | ||
<td>w3 = white 3rd | <td>w3 = white 3rd<br /> | ||
</td> | |||
<td>Pythagorean minor third, octave-reduced 27th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 803: | Line 941: | ||
<td>297.513016<br /> | <td>297.513016<br /> | ||
</td> | </td> | ||
<td>f3 = fawn 3rd | <td>f3 = fawn 3rd<br /> | ||
</td> | |||
<td>otonal minor third, octave-reduced 19th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 811: | Line 951: | ||
<td>301.84652<br /> | <td>301.84652<br /> | ||
</td> | </td> | ||
<td>ryy2 = reddish-yellow aug 2nd | <td>ryy2 = reddish-yellow aug 2nd<br /> | ||
</td> | |||
<td>quasi-tempered minor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 818: | Line 960: | ||
</td> | </td> | ||
<td>309.974395<br /> | <td>309.974395<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>myna third<br /> | <td>myna third<br /> | ||
| Line 827: | Line 971: | ||
<td>315.641287<br /> | <td>315.641287<br /> | ||
</td> | </td> | ||
<td>g3 = green 3rd | <td>g3 = green 3rd<br /> | ||
</td> | |||
<td>minor third, pental minor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 835: | Line 981: | ||
<td>320.143849<br /> | <td>320.143849<br /> | ||
</td> | </td> | ||
<td>jb3 = jade blue 3rd | <td>jb3 = jade blue 3rd<br /> | ||
</td> | |||
<td>keenanismic minor third, octave-reduced 77th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 843: | Line 991: | ||
<td>323.3528<br /> | <td>323.3528<br /> | ||
</td> | </td> | ||
<td>ry2 = reddish aug 2nd | <td>ry2 = reddish aug 2nd<br /> | ||
</td> | |||
<td>large septimal minor third, marvelous minor third, |-4, 3, 1, -1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 850: | Line 1,000: | ||
</td> | </td> | ||
<td>325.562426<br /> | <td>325.562426<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>doublewide minor third<br /> | <td>doublewide minor third<br /> | ||
| Line 859: | Line 1,011: | ||
<td>336.129503<br /> | <td>336.129503<br /> | ||
</td> | </td> | ||
<td>tr3 = tan red 3rd | <td>tr3 = tan red 3rd<br /> | ||
</td> | |||
<td>septendecimal supraminor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 866: | Line 1,020: | ||
</td> | </td> | ||
<td>339.520756<br /> | <td>339.520756<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>amity supraminor third<br /> | <td>amity supraminor third<br /> | ||
| Line 875: | Line 1,031: | ||
<td><span style="background-color: #ffffff;">345.254855</span><br /> | <td><span style="background-color: #ffffff;">345.254855</span><br /> | ||
</td> | </td> | ||
<td>Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow double-aug 2nd | <td>Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow double-aug 2nd<br /> | ||
</td> | |||
<td>5-limit neutral third, |-9, 0, 4&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 883: | Line 1,041: | ||
<td>347.40794<br /> | <td>347.40794<br /> | ||
</td> | </td> | ||
<td>j3 = jade 3rd | <td>j3 = jade 3rd<br /> | ||
</td> | |||
<td>undecimal neutral third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 891: | Line 1,051: | ||
<td>350.616902<br /> | <td>350.616902<br /> | ||
</td> | </td> | ||
<td>rry2 = reddish-red aug 2nd, p3 = purple 3rd | <td>rry2 = reddish-red aug 2nd, p3 = purple 3rd<br /> | ||
</td> | |||
<td>smaller septimal neutral third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 899: | Line 1,061: | ||
<td>351.338099<br /> | <td>351.338099<br /> | ||
</td> | </td> | ||
<td>bbg4 = bluish blue dim 4th, p3 = purple 3rd | <td>bbg4 = bluish blue dim 4th, p3 = purple 3rd<br /> | ||
</td> | |||
<td>larger septimal neutral third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 907: | Line 1,071: | ||
<td>354.547060<br /> | <td>354.547060<br /> | ||
</td> | </td> | ||
<td>a3 = amber 3rd | <td>a3 = amber 3rd<br /> | ||
</td> | |||
<td>rastmic neutral third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 915: | Line 1,081: | ||
<td>359.472338<br /> | <td>359.472338<br /> | ||
</td> | </td> | ||
<td>o3 = ochre 3rd | <td>o3 = ochre 3rd<br /> | ||
</td> | |||
<td>tridecimal neutral third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 923: | Line 1,091: | ||
<td>365.8255<br /> | <td>365.8255<br /> | ||
</td> | </td> | ||
<td>ub3 = umber-blue 3rd | <td>ub3 = umber-blue 3rd<br /> | ||
</td> | |||
<td>septendecimal submajor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 931: | Line 1,101: | ||
<td>378.602191<br /> | <td>378.602191<br /> | ||
</td> | </td> | ||
<td>bg4 = bluish dim 4th | <td>bg4 = bluish dim 4th<br /> | ||
</td> | |||
<td>narrow perde segah, marvelous major third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 938: | Line 1,110: | ||
</td> | </td> | ||
<td><span style="background-color: #ffffff;">377.848005</span><br /> | <td><span style="background-color: #ffffff;">377.848005</span><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>maja third<br /> | <td>maja third<br /> | ||
| Line 946: | Line 1,120: | ||
</td> | </td> | ||
<td>380.228526<br /> | <td>380.228526<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>witchcraft major third<br /> | <td>witchcraft major third<br /> | ||
| Line 954: | Line 1,130: | ||
</td> | </td> | ||
<td>380.628211<br /> | <td>380.628211<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>magic major third<br /> | <td>magic major third<br /> | ||
| Line 963: | Line 1,141: | ||
<td>381.811152<br /> | <td>381.811152<br /> | ||
</td> | </td> | ||
<td>ar3 = amber-red 3rd | <td>ar3 = amber-red 3rd<br /> | ||
</td> | |||
<td>undecimal perde segah, keenanismic major third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 971: | Line 1,151: | ||
<td>386.313714<br /> | <td>386.313714<br /> | ||
</td> | </td> | ||
<td>y3 = yellow 3rd | <td>y3 = yellow 3rd<br /> | ||
</td> | |||
<td>major third, octave-reduced 5th harmonic, pental major third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 979: | Line 1,161: | ||
<td>407.820003<br /> | <td>407.820003<br /> | ||
</td> | </td> | ||
<td>Lw3 = large white 3rd | <td>Lw3 = large white 3rd<br /> | ||
</td> | |||
<td>Pythagorean major third, octave-reduced 81st harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 987: | Line 1,171: | ||
<td>413.577806<br /> | <td>413.577806<br /> | ||
</td> | </td> | ||
<td>ry3 = reddish 3rd | <td>ry3 = reddish 3rd<br /> | ||
</td> | |||
<td>werckismic sharp major third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 995: | Line 1,181: | ||
<td>417.507964<br /> | <td>417.507964<br /> | ||
</td> | </td> | ||
<td>ab4 = amber-blue 4th | <td>ab4 = amber-blue 4th<br /> | ||
</td> | |||
<td>undecimal major third, undecimal diminished fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,003: | Line 1,191: | ||
<td>427.372572<br /> | <td>427.372572<br /> | ||
</td> | </td> | ||
<td>gg4 = deep green dim 4th | <td>gg4 = deep green dim 4th<br /> | ||
</td> | |||
<td>classic diminished fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,011: | Line 1,201: | ||
<td>431.875134<br /> | <td>431.875134<br /> | ||
</td> | </td> | ||
<td>jbg4 = jade-bluish 4th | <td>jbg4 = jade-bluish 4th<br /> | ||
</td> | |||
<td>swetismic supermajor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,019: | Line 1,211: | ||
<td>435.084095<br /> | <td>435.084095<br /> | ||
</td> | </td> | ||
<td>r3 = red 3rd | <td>r3 = red 3rd<br /> | ||
</td> | |||
<td>supermajor third, septimal major third, septimal diminished fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,026: | Line 1,220: | ||
</td> | </td> | ||
<td>443.080572<br /> | <td>443.080572<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>sensi supermajor third<br /> | <td>sensi supermajor third<br /> | ||
| Line 1,035: | Line 1,231: | ||
<td>446.362533<br /> | <td>446.362533<br /> | ||
</td> | </td> | ||
<td>uj3 = umber jade 3rd | <td>uj3 = umber jade 3rd<br /> | ||
</td> | |||
<td>septendecimal supermajor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,043: | Line 1,241: | ||
<td>449.274618<br /> | <td>449.274618<br /> | ||
</td> | </td> | ||
<td>yb4 = yellowish 4th | <td>yb4 = yellowish 4th<br /> | ||
</td> | |||
<td>semi-diminished fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,051: | Line 1,251: | ||
<td>454.213948<br /> | <td>454.213948<br /> | ||
</td> | </td> | ||
<td>eg4 = emerald-green 4th | <td>eg4 = emerald-green 4th<br /> | ||
</td> | |||
<td>Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,059: | Line 1,261: | ||
<td>462.348187<br /> | <td>462.348187<br /> | ||
</td> | </td> | ||
<td>rr3 = deep red 3rd | <td>rr3 = deep red 3rd<br /> | ||
</td> | |||
<td>septatonic major third<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,067: | Line 1,271: | ||
<td>464.427748<br /> | <td>464.427748<br /> | ||
</td> | </td> | ||
<td>to4 = tan-ochre 4th | <td>to4 = tan-ochre 4th<br /> | ||
</td> | |||
<td>septendecimal sub-fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,075: | Line 1,281: | ||
<td>470.780907<br /> | <td>470.780907<br /> | ||
</td> | </td> | ||
<td>b4 = blue 4th | <td>b4 = blue 4th<br /> | ||
</td> | |||
<td>sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,083: | Line 1,291: | ||
<td><span style="background-color: #ffffff;">480.645516</span><br /> | <td><span style="background-color: #ffffff;">480.645516</span><br /> | ||
</td> | </td> | ||
<td>jgg4 = jadish green 4th | <td>jgg4 = jadish green 4th<br /> | ||
</td> | |||
<td>&quot;5-EDO&quot;-esque fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,091: | Line 1,301: | ||
<td>493.1197<br /> | <td>493.1197<br /> | ||
</td> | </td> | ||
<td>ea4 = emerald amber 4th | <td>ea4 = emerald amber 4th<br /> | ||
</td> | |||
<td>tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,099: | Line 1,311: | ||
<td>498.044999<br /> | <td>498.044999<br /> | ||
</td> | </td> | ||
<td>w4 = white 4th | <td>w4 = white 4th<br /> | ||
</td> | |||
<td>just perfect fourth, octave-reduced 3rd subharmonic, diatessaron<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,107: | Line 1,321: | ||
<td>505.756522<br /> | <td>505.756522<br /> | ||
</td> | </td> | ||
<td>ryy3 = reddish-yellow aug 3rd | <td>ryy3 = reddish-yellow aug 3rd<br /> | ||
</td> | |||
<td>marvelous fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,115: | Line 1,331: | ||
<td>519.551289<br /> | <td>519.551289<br /> | ||
</td> | </td> | ||
<td>g4 = green 4th | <td>g4 = green 4th<br /> | ||
</td> | |||
<td>acute fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,123: | Line 1,341: | ||
<td>528.6871<br /> | <td>528.6871<br /> | ||
</td> | </td> | ||
<td>fr4 = fawn-red 4th | <td>fr4 = fawn-red 4th<br /> | ||
</td> | |||
<td>19-limit wide fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,131: | Line 1,351: | ||
<td>533.741811<br /> | <td>533.741811<br /> | ||
</td> | </td> | ||
<td>bb5 = deep blue dim 5th | <td>bb5 = deep blue dim 5th<br /> | ||
</td> | |||
<td>Arabic lute acute fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,139: | Line 1,361: | ||
<td>536.950772<br /> | <td>536.950772<br /> | ||
</td> | </td> | ||
<td>ay4 = amberish 4th | <td>ay4 = amberish 4th<br /> | ||
</td> | |||
<td>undecimal augmented fourth, subaugmented fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,147: | Line 1,371: | ||
<td>546.815381<br /> | <td>546.815381<br /> | ||
</td> | </td> | ||
<td>gr4 = greenish 4th | <td>gr4 = greenish 4th<br /> | ||
</td> | |||
<td>septimal super-fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,155: | Line 1,381: | ||
<td>551.317942<br /> | <td>551.317942<br /> | ||
</td> | </td> | ||
<td>j4 = jade 4th | <td>j4 = jade 4th<br /> | ||
</td> | |||
<td>super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,163: | Line 1,391: | ||
<td>563.38234<br /> | <td>563.38234<br /> | ||
</td> | </td> | ||
<td>o4 = ochre 4th | <td>o4 = ochre 4th<br /> | ||
</td> | |||
<td>tridecimal augmented fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,171: | Line 1,401: | ||
<td>568.717426<br /> | <td>568.717426<br /> | ||
</td> | </td> | ||
<td>yy4 = deep yellow 4th | <td>yy4 = deep yellow 4th<br /> | ||
</td> | |||
<td>classic augmented fourth, pental augmented fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,179: | Line 1,411: | ||
<td>578.582034<br /> | <td>578.582034<br /> | ||
</td> | </td> | ||
<td>jr4 = jade-red 4th | <td>jr4 = jade-red 4th<br /> | ||
</td> | |||
<td>werckismic augmented fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,187: | Line 1,421: | ||
<td>582.512193<br /> | <td>582.512193<br /> | ||
</td> | </td> | ||
<td>bg5 = bluish 5th | <td>bg5 = bluish 5th<br /> | ||
</td> | |||
<td>augmented fourth, septimal tritone, Huygen's tritone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,196: | Line 1,432: | ||
</td> | </td> | ||
<td>y4 = yellow 4th<br /> | <td>y4 = yellow 4th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,203: | Line 1,441: | ||
<td>585.721154<br /> | <td>585.721154<br /> | ||
</td> | </td> | ||
<td>ar4 = amber-red 4th | <td>ar4 = amber-red 4th<br /> | ||
</td> | |||
<td>swetismic augmented fourth, |2, 3, 0, -1, -1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,211: | Line 1,451: | ||
<td>596.999591<br /> | <td>596.999591<br /> | ||
</td> | </td> | ||
<td>u4 = umber 4th | <td>u4 = umber 4th<br /> | ||
</td> | |||
<td>smaller septendecimal tritone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,219: | Line 1,461: | ||
<td>603.000409<br /> | <td>603.000409<br /> | ||
</td> | </td> | ||
<td>t5 = tan 5th | <td>t5 = tan 5th<br /> | ||
</td> | |||
<td>larger septendecimal tritone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,228: | Line 1,472: | ||
</td> | </td> | ||
<td>g5 = green 5th<br /> | <td>g5 = green 5th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,235: | Line 1,481: | ||
<td>617.487807<br /> | <td>617.487807<br /> | ||
</td> | </td> | ||
<td>ry4 = reddish 4th | <td>ry4 = reddish 4th<br /> | ||
</td> | |||
<td>diminished fifth, Euler's tritone, superaugmented fourth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,242: | Line 1,490: | ||
</td> | </td> | ||
<td>628.2743<br /> | <td>628.2743<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>23-limit superaugmented fourth, octave-reduced 23rd harmonic<br /> | <td>23-limit superaugmented fourth, octave-reduced 23rd harmonic<br /> | ||
| Line 1,251: | Line 1,501: | ||
<td>631.282574<br /> | <td>631.282574<br /> | ||
</td> | </td> | ||
<td>gg5 = deep green 5th | <td>gg5 = deep green 5th<br /> | ||
</td> | |||
<td>pental diminished fifth, classic diminshed fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,259: | Line 1,511: | ||
<td>636.61766<br /> | <td>636.61766<br /> | ||
</td> | </td> | ||
<td>e5 = emerald 5th | <td>e5 = emerald 5th<br /> | ||
</td> | |||
<td>tridecimal diminished fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,267: | Line 1,521: | ||
<td>648.682058<br /> | <td>648.682058<br /> | ||
</td> | </td> | ||
<td>a5 = amber 5th | <td>a5 = amber 5th<br /> | ||
</td> | |||
<td>sub-fifth, octave-reduced 11th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,275: | Line 1,531: | ||
<td>653.184619<br /> | <td>653.184619<br /> | ||
</td> | </td> | ||
<td>yb5 = yellowish 5th | <td>yb5 = yellowish 5th<br /> | ||
</td> | |||
<td>septimal sub-fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,283: | Line 1,541: | ||
<td>663.049228<br /> | <td>663.049228<br /> | ||
</td> | </td> | ||
<td>jg5 = jadish 5th | <td>jg5 = jadish 5th<br /> | ||
</td> | |||
<td>undecimal diminished fifth, semidiminished fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,291: | Line 1,551: | ||
<td>666.258889<br /> | <td>666.258889<br /> | ||
</td> | </td> | ||
<td>rr4 = deep red aug 4th | <td>rr4 = deep red aug 4th<br /> | ||
</td> | |||
<td>septimal catafifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,299: | Line 1,561: | ||
<td>670.188347<br /> | <td>670.188347<br /> | ||
</td> | </td> | ||
<td>ag5 = amber green 5th | <td>ag5 = amber green 5th<br /> | ||
</td> | |||
<td>undecimal catafifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,307: | Line 1,571: | ||
<td><span style="background-color: #ffffff;">671.31289</span><br /> | <td><span style="background-color: #ffffff;">671.31289</span><br /> | ||
</td> | </td> | ||
<td>kb5 = khaki-blue 5th | <td>kb5 = khaki-blue 5th<br /> | ||
</td> | |||
<td>19-limit narrow fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,315: | Line 1,581: | ||
<td>680.448711<br /> | <td>680.448711<br /> | ||
</td> | </td> | ||
<td>y5 = yellow 5th | <td>y5 = yellow 5th<br /> | ||
</td> | |||
<td>grave fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,323: | Line 1,591: | ||
<td>694.243478<br /> | <td>694.243478<br /> | ||
</td> | </td> | ||
<td>bgg6 = bluish-green dim 6th | <td>bgg6 = bluish-green dim 6th<br /> | ||
</td> | |||
<td>marvelous fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,331: | Line 1,601: | ||
<td>701.955001<br /> | <td>701.955001<br /> | ||
</td> | </td> | ||
<td>w5 = white 5th | <td>w5 = white 5th<br /> | ||
</td> | |||
<td><a class="wiki_link" href="/perfect%20fifth">just perfect fifth</a>, octave-reduced 3rd harmonic, diapente<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,339: | Line 1,611: | ||
<td><span style="line-height: 1.5;">706.7177</span><br /> | <td><span style="line-height: 1.5;">706.7177</span><br /> | ||
</td> | </td> | ||
<td>eaab6 = emerald blue deep amber 6th | <td>eaab6 = emerald blue deep amber 6th<br /> | ||
</td> | |||
<td>tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 &gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,347: | Line 1,621: | ||
<td><span style="line-height: 1.5;">706.8803</span><br /> | <td><span style="line-height: 1.5;">706.8803</span><br /> | ||
</td> | </td> | ||
<td>oj5 = ochre-jade 5th | <td>oj5 = ochre-jade 5th<br /> | ||
</td> | |||
<td>tridecimal gentle fifth, |4, -2, 0, 0, 1, -1&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,355: | Line 1,631: | ||
<td><span style="background-color: #ffffff;">719.354484</span><br /> | <td><span style="background-color: #ffffff;">719.354484</span><br /> | ||
</td> | </td> | ||
<td>ayy5 = amber deep yellow 5th | <td>ayy5 = amber deep yellow 5th<br /> | ||
</td> | |||
<td>&quot;5-EDO&quot;-esque fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,363: | Line 1,641: | ||
<td>729.219093<br /> | <td>729.219093<br /> | ||
</td> | </td> | ||
<td>r5 = red 5th | <td>r5 = red 5th<br /> | ||
</td> | |||
<td>super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,371: | Line 1,651: | ||
<td>735.572252<br /> | <td>735.572252<br /> | ||
</td> | </td> | ||
<td>ue5 = umber-emerald 5th | <td>ue5 = umber-emerald 5th<br /> | ||
</td> | |||
<td>septendecimal super-fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,379: | Line 1,661: | ||
<td>737.651813<br /> | <td>737.651813<br /> | ||
</td> | </td> | ||
<td>bb6 = deep blue 6th | <td>bb6 = deep blue 6th<br /> | ||
</td> | |||
<td>superduper fifth, octave-reduced 49th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,387: | Line 1,671: | ||
<td>745.786052<br /> | <td>745.786052<br /> | ||
</td> | </td> | ||
<td>oy5 = ochreish 5th | <td>oy5 = ochreish 5th<br /> | ||
</td> | |||
<td>Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,395: | Line 1,681: | ||
<td>753.637467<br /> | <td>753.637467<br /> | ||
</td> | </td> | ||
<td>ta6 = tan-amber 6th | <td>ta6 = tan-amber 6th<br /> | ||
</td> | |||
<td>septendecimal subminor sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,403: | Line 1,691: | ||
<td>764.915905<br /> | <td>764.915905<br /> | ||
</td> | </td> | ||
<td>b6 = blue 6th | <td>b6 = blue 6th<br /> | ||
</td> | |||
<td>subminor sixth, septimal minor sixth, augmented fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,411: | Line 1,701: | ||
<td>772.627428<br /> | <td>772.627428<br /> | ||
</td> | </td> | ||
<td>yy5 = deep yellow 5th | <td>yy5 = deep yellow 5th<br /> | ||
</td> | |||
<td>pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,419: | Line 1,711: | ||
<td>782.492036<br /> | <td>782.492036<br /> | ||
</td> | </td> | ||
<td>jr5 = jade-red 5th | <td>jr5 = jade-red 5th<br /> | ||
</td> | |||
<td>undecimal subminor sixth, undecimal augmented fifth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,428: | Line 1,722: | ||
</td> | </td> | ||
<td>bg6 = bluish 6th<br /> | <td>bg6 = bluish 6th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,436: | Line 1,732: | ||
</td> | </td> | ||
<td>sw6 = small white 6th<br /> | <td>sw6 = small white 6th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,443: | Line 1,741: | ||
<td>813.686286<br /> | <td>813.686286<br /> | ||
</td> | </td> | ||
<td>g6 = green 6th | <td>g6 = green 6th<br /> | ||
</td> | |||
<td>minor sixth, octave-reduced 5th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,450: | Line 1,750: | ||
</td> | </td> | ||
<td><span style="background-color: #ffffff;">827.997565</span><br /> | <td><span style="background-color: #ffffff;">827.997565</span><br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)<br /> | <td>octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)<br /> | ||
| Line 1,459: | Line 1,761: | ||
<td>840.527662<br /> | <td>840.527662<br /> | ||
</td> | </td> | ||
<td>e6 = emerald 6th | <td>e6 = emerald 6th<br /> | ||
</td> | |||
<td>tridecimal neutral sixth, octave-reduced 13th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,468: | Line 1,772: | ||
</td> | </td> | ||
<td>rryA5 = reddish-red aug 5th, p6 = purple 6th<br /> | <td>rryA5 = reddish-red aug 5th, p6 = purple 6th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,476: | Line 1,782: | ||
</td> | </td> | ||
<td>bbg7 = bluish-blue dim 7th, p6 = purple 6th<br /> | <td>bbg7 = bluish-blue dim 7th, p6 = purple 6th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,483: | Line 1,791: | ||
<td>852.59216<br /> | <td>852.59216<br /> | ||
</td> | </td> | ||
<td>a6 = amber 6th | <td>a6 = amber 6th<br /> | ||
</td> | |||
<td>undecimal neutral sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,491: | Line 1,801: | ||
<td>863.870497<br /> | <td>863.870497<br /> | ||
</td> | </td> | ||
<td>ub6 = umber-blue 6th | <td>ub6 = umber-blue 6th<br /> | ||
</td> | |||
<td>septendecimal submajor sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,499: | Line 1,811: | ||
<td>884.358713<br /> | <td>884.358713<br /> | ||
</td> | </td> | ||
<td>y6 = yellow 6th | <td>y6 = yellow 6th<br /> | ||
</td> | |||
<td>major sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,508: | Line 1,822: | ||
</td> | </td> | ||
<td>bgg7 = bluish-green dim 7th<br /> | <td>bgg7 = bluish-green dim 7th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,515: | Line 1,831: | ||
<td>905.865003<br /> | <td>905.865003<br /> | ||
</td> | </td> | ||
<td>w6 = white 6th | <td>w6 = white 6th<br /> | ||
</td> | |||
<td>Pythagorean major sixth, octave-reduced 27th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,523: | Line 1,841: | ||
<td>910.790821<br /> | <td>910.790821<br /> | ||
</td> | </td> | ||
<td>oj6 = ochre-jade 6th | <td>oj6 = ochre-jade 6th<br /> | ||
</td> | |||
<td>tridecimal major sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,531: | Line 1,851: | ||
<td>918.641696<br /> | <td>918.641696<br /> | ||
</td> | </td> | ||
<td>tg7 = tannish 7th | <td>tg7 = tannish 7th<br /> | ||
</td> | |||
<td>septendecimal diminished seventh, septendecimal major sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,539: | Line 1,861: | ||
<td>933.129094<br /> | <td>933.129094<br /> | ||
</td> | </td> | ||
<td>r6 = red 6th | <td>r6 = red 6th<br /> | ||
</td> | |||
<td>supermajor sixth, septimal major sixth, diminished seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,547: | Line 1,871: | ||
<td>952.258947<br /> | <td>952.258947<br /> | ||
</td> | </td> | ||
<td>eg7 = emeraldish 7th | <td>eg7 = emeraldish 7th<br /> | ||
</td> | |||
<td>semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,555: | Line 1,881: | ||
<td>968.825906<br /> | <td>968.825906<br /> | ||
</td> | </td> | ||
<td>b7 = blue 7th | <td>b7 = blue 7th<br /> | ||
</td> | |||
<td>subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,563: | Line 1,891: | ||
<td>976.537429<br /> | <td>976.537429<br /> | ||
</td> | </td> | ||
<td>Lyy6 = large deep yellow 6th | <td>Lyy6 = large deep yellow 6th<br /> | ||
</td> | |||
<td>marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2&gt;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,571: | Line 1,901: | ||
<td>983.313305<br /> | <td>983.313305<br /> | ||
</td> | </td> | ||
<td>uy6 = umberish aug 6th | <td>uy6 = umberish aug 6th<br /> | ||
</td> | |||
<td>septendecimal minor seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,579: | Line 1,911: | ||
<td>996.089998<br /> | <td>996.089998<br /> | ||
</td> | </td> | ||
<td>w7 = white 7th | <td>w7 = white 7th<br /> | ||
</td> | |||
<td>Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,588: | Line 1,922: | ||
</td> | </td> | ||
<td>ryy6 = reddish-yellow aug 6th<br /> | <td>ryy6 = reddish-yellow aug 6th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,595: | Line 1,931: | ||
<td>1017.596288<br /> | <td>1017.596288<br /> | ||
</td> | </td> | ||
<td>g5 = green 7th | <td>g5 = green 7th<br /> | ||
</td> | |||
<td>minor seventh, large minor seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,602: | Line 1,940: | ||
</td> | </td> | ||
<td>1029.5772<br /> | <td>1029.5772<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>29-limit large minor seventh, octave-reduced 29th harmonic<br /> | <td>29-limit large minor seventh, octave-reduced 29th harmonic<br /> | ||
| Line 1,611: | Line 1,951: | ||
<td>1034.995772<br /> | <td>1034.995772<br /> | ||
</td> | </td> | ||
<td>ay7 = amberish 7th | <td>ay7 = amberish 7th<br /> | ||
</td> | |||
<td>undecimal minor seventh, small undecimal neutral seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,620: | Line 1,962: | ||
</td> | </td> | ||
<td>gr7 = greenish 7th<br /> | <td>gr7 = greenish 7th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,627: | Line 1,971: | ||
<td>1049.362941<br /> | <td>1049.362941<br /> | ||
</td> | </td> | ||
<td>j7 = jade 7th | <td>j7 = jade 7th<br /> | ||
</td> | |||
<td>undecimal neutral seventh, 21/4-tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,635: | Line 1,981: | ||
<td>1061.427339<br /> | <td>1061.427339<br /> | ||
</td> | </td> | ||
<td>o7 = ochre 7th | <td>o7 = ochre 7th<br /> | ||
</td> | |||
<td>tridecimal neutral seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,643: | Line 1,991: | ||
<td>1071.701755<br /> | <td>1071.701755<br /> | ||
</td> | </td> | ||
<td>er7 = emerald-red 7th | <td>er7 = emerald-red 7th<br /> | ||
</td> | |||
<td>16/3-tone, tridecimal submajor seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,651: | Line 2,001: | ||
<td>1080.557192<br /> | <td>1080.557192<br /> | ||
</td> | </td> | ||
<td>bg8 = bluish dim 8ve | <td>bg8 = bluish dim 8ve<br /> | ||
</td> | |||
<td>grave major seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,659: | Line 2,011: | ||
<td>1088.268715<br /> | <td>1088.268715<br /> | ||
</td> | </td> | ||
<td>y7 = yellow 7th | <td>y7 = yellow 7th<br /> | ||
</td> | |||
<td>major seventh, just major seventh, octave-reduced 15th harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,667: | Line 2,021: | ||
<td>1095.04459<br /> | <td>1095.04459<br /> | ||
</td> | </td> | ||
<td>u7 = umber 7th | <td>u7 = umber 7th<br /> | ||
</td> | |||
<td>small septendecimal major seventh, 8ve-reduced 17th subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,675: | Line 2,031: | ||
<td>1101.045408<br /> | <td>1101.045408<br /> | ||
</td> | </td> | ||
<td>t8 = tan dim 8ve | <td>t8 = tan dim 8ve<br /> | ||
</td> | |||
<td>large septendecimal major seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,683: | Line 2,041: | ||
<td>1109.775004<br /> | <td>1109.775004<br /> | ||
</td> | </td> | ||
<td>Lw7 = large white 7th | <td>Lw7 = large white 7th<br /> | ||
</td> | |||
<td>Pythagorean major seventh, octave-reduced 243rd harmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,691: | Line 2,051: | ||
<td>1115.532907<br /> | <td>1115.532907<br /> | ||
</td> | </td> | ||
<td>ry7 = reddish 7th | <td>ry7 = reddish 7th<br /> | ||
</td> | |||
<td>acute major seventh<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,698: | Line 2,060: | ||
</td> | </td> | ||
<td>1116.884905<br /> | <td>1116.884905<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>octave-reduced 61st harmonic<br /> | <td>octave-reduced 61st harmonic<br /> | ||
| Line 1,708: | Line 2,072: | ||
</td> | </td> | ||
<td>gg8 = deep green dim 8ve<br /> | <td>gg8 = deep green dim 8ve<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,716: | Line 2,082: | ||
</td> | </td> | ||
<td>r7 = red 7th<br /> | <td>r7 = red 7th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,722: | Line 2,090: | ||
</td> | </td> | ||
<td>1145.0356<br /> | <td>1145.0356<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>31-limit ultramajor seventh, octave-reduced 31st harmonic<br /> | <td>31-limit ultramajor seventh, octave-reduced 31st harmonic<br /> | ||
| Line 1,731: | Line 2,101: | ||
<td>1146.727057<br /> | <td>1146.727057<br /> | ||
</td> | </td> | ||
<td>a8 = amber 8ve | <td>a8 = amber 8ve<br /> | ||
</td> | |||
<td>octave-reduced 33rd subharmonic<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,740: | Line 2,112: | ||
</td> | </td> | ||
<td>yb8 = yellowish 8ve<br /> | <td>yb8 = yellowish 8ve<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,748: | Line 2,122: | ||
</td> | </td> | ||
<td>rr7 = deep red 7th<br /> | <td>rr7 = deep red 7th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,756: | Line 2,132: | ||
</td> | </td> | ||
<td>bbgg9 = deep bluish 9th<br /> | <td>bbgg9 = deep bluish 9th<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,763: | Line 2,141: | ||
<td>1178.493814<br /> | <td>1178.493814<br /> | ||
</td> | </td> | ||
<td>y8 = yellow 8ve | <td>y8 = yellow 8ve<br /> | ||
</td> | |||
<td>octave minus syntonic comma<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,771: | Line 2,151: | ||
<td>1200<br /> | <td>1200<br /> | ||
</td> | </td> | ||
<td>w8 = white 8ve | <td>w8 = white 8ve<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> | </td> | ||
</tr> | </tr> | ||
| Line 1,778: | Line 2,160: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:4 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:4 -->Links</h1> | ||
<br /> | |||
<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.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.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 /> | <a class="wiki_link_ext" href="http://www.kylegann.com/Octave.html" rel="nofollow">Anantomy of an Octave</a> by Kyle Gann<br /> | ||
<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span></body></html></pre></div> | <span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span></body></html></pre></div> | ||
Revision as of 23:12, 31 October 2016
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author TallKite and made on 2016-10-31 23:12:52 UTC.
- The original revision id was 597613354.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] ---- =Introduction= In [[JustIntonation|Just Intonation]], a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you. What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it. This page lists links to dedicated pages for each interval. Wiki page names are formatted "n_d" (where n is the numerator and d is the denominator of the interval) because both colons and slashes cannot be part of page names on wikispaces, but the links as they appear on the page are in the form n/d. Explanation of the color names is [[Kite's color notation|here]]. ---- =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) ||~ [[Kite's color notation|Color notation]] ||~ some common names || || [[1_1|1/1]] || 0 || w1 = unison || unity, perfect prime, Tonic || || [[32805_32768|32805/32768]] || 1.95372 || Ly-2 = yellow subcomm || schisma, |-15, 8, 1> || || 225/224 || 7.712 || ryy-2 = reddish-yellow subcomma || |-5, 2, 2, -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 || || 2048/2025 || 19.553 || sgg2 = small deep green comma || |11, -4, -2> || || [[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, |8, -5> || || [[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, |-11, 7> || || [[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 = jadish 2nd || large undecimal neutral second, 4/5-tone, Ptolemy's second || || [[54_49|54/49]] || 168.21319 || rr1 = deep red augmented unison || Zalzal's mujannab || || [[10_9|10/9]] || 182.403712 || y2 = yellow 2nd || minor whole tone || || [[49_44|49/44]] || 186.333871 || abb3 = amber deep blue dim 3rd || werckismic minor second || || [[xenharmonic/19_17|19/17]] || 192.5576 || fu2 = fawn umber 2nd || quasi-meantone || || [[28_25|28/25]] || 196.198479 || bgg3 = bluish-green dim 3rd || middle major second || || [[55_49|55/49]] || 199.979843 || jrry1 = jade-red reddish double-aug unison || werckismic tone || || [[9_8|9/8]] || 203.910002 || w2 = white 2nd, major whole tone || Pythagorean tone, octave-reduced 9th harmonic || || [[17_15|17/15]] || 216.686695 || tg3 = tannish dim 3rd || septendecimal whole tone, septendecimal eventone || || [[8_7|8/7]] || 231.174094 || r2 = red 2nd || supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic || || [[63_55|63/55]] || 235.104252 || abg3 = amber bluish dim 3rd || werckismic supermajor second || || [[55_48|55/48]] || 235.676655 || jy2 = jade-yellow 2nd || keenanismic supermajor second || || [[15_13|15/13]] || 247.741053 || oy2 = ochre-yellow 2nd || semifourth, tridecimal ultramajor second, tridecimal inframinor third || || [[22_19|22/19]] || 253.804926 || kj2 = khaki-jade 2nd || minimal minor third, godzilla third || || [[64_55|64/55]] || 262.368344 || ag3 = amber-green 3rd || keenanismic subminor third, octave-reduced 55th subharmonic || || [[7_6|7/6]] || 266.870906 || b3 = blue 3rd || subminor third, septimal minor third, augmented second || || [[90_77|90/77]] || 270.079867 || ary2 = amber reddish 2nd || swetismic subminor third || || [[62_53|62/53]] || 271.531027 || || orwell subminor third || || [[75_64|75/64]] || 274.582429 || yy2 = deep yellow 2nd || classic augmented second || || [[20_17|20/17]] || 281.358304 || uy2 = umber yellow aug 2nd || septendecimal augmented second, septendecimal minor third || || [[13_11|13/11]] || 289.209179 || ea3 = emerald amber 3rd || tridecimal minor third || || [[32_27|32/27]] || 294.134997 || w3 = white 3rd || Pythagorean minor third, octave-reduced 27th subharmonic || || [[19_16|19/16]] || 297.513016 || f3 = fawn 3rd || otonal minor third, octave-reduced 19th harmonic || || [[25_21|25/21]] || 301.84652 || ryy2 = reddish-yellow aug 2nd || quasi-tempered minor third || || [[61_51|61/51]] || 309.974395 || || myna third || || [[6_5|6/5]] || 315.641287 || g3 = green 3rd || minor third, pental minor third || || [[77_64|77/64]] || 320.143849 || jb3 = jade blue 3rd || keenanismic minor third, octave-reduced 77th harmonic || || 135/112 || 323.3528 || ry2 = reddish aug 2nd || large septimal minor third, marvelous minor third, |-4, 3, 1, -1> || || [[35_29|35/29]] || 325.562426 || || doublewide minor third || || [[17_14|17/14]] || 336.129503 || tr3 = tan red 3rd || septendecimal supraminor third || || [[73_60|73/60]] || 339.520756 || || amity supraminor third || || 625/512 || <span style="background-color: #ffffff;">345.254855</span> || Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow double-aug 2nd || 5-limit neutral third, |-9, 0, 4> || || [[11_9|11/9]] || 347.40794 || j3 = jade 3rd || undecimal neutral third || || [[60_49|60/49]] || 350.616902 || rry2 = reddish-red aug 2nd, p3 = purple 3rd || smaller septimal neutral third || || [[49_40|49/40]] || 351.338099 || bbg4 = bluish blue dim 4th, p3 = purple 3rd || larger septimal neutral third || || [[27_22|27/22]] || 354.547060 || a3 = amber 3rd || rastmic neutral third || || [[16_13|16/13]] || 359.472338 || o3 = ochre 3rd || tridecimal neutral third || || [[xenharmonic/21_17|21/17]] || 365.8255 || ub3 = umber-blue 3rd || septendecimal submajor third || || [[56_45|56/45]] || 378.602191 || bg4 = bluish dim 4th || narrow perde segah, marvelous major third || || 51/41 || <span style="background-color: #ffffff;">377.848005</span> || || maja third || || [[71_57|71/57]] || 380.228526 || || witchcraft major third || || [[76_61|76/61]] || 380.628211 || || magic major third || || [[96_77|96/77]] || 381.811152 || ar3 = amber-red 3rd || undecimal perde segah, keenanismic major third || || [[5_4|5/4]] || 386.313714 || y3 = yellow 3rd || major third, octave-reduced 5th harmonic, pental major third || || [[81_64|81/64]] || 407.820003 || Lw3 = large white 3rd || Pythagorean major third, octave-reduced 81st harmonic || || [[80_63|80/63]] || 413.577806 || ry3 = reddish 3rd || werckismic sharp major third || || [[14_11|14/11]] || 417.507964 || ab4 = amber-blue 4th || undecimal major third, undecimal diminished fourth || || [[32_25|32/25]] || 427.372572 || gg4 = deep green dim 4th || classic diminished fourth || || [[77_60|77/60]] || 431.875134 || jbg4 = jade-bluish 4th || swetismic supermajor third || || [[9_7|9/7]] || 435.084095 || r3 = red 3rd || supermajor third, septimal major third, septimal diminished fourth || || [[31_24|31/24]] || 443.080572 || || sensi supermajor third || || [[22_17|22/17]] || 446.362533 || uj3 = umber jade 3rd || septendecimal supermajor third || || [[35_27|35/27]] || 449.274618 || yb4 = yellowish 4th || semi-diminished fourth || || [[13_10|13/10]] || 454.213948 || eg4 = emerald-green 4th || Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramajor third || || [[64_49|64/49]] || 462.348187 || rr3 = deep red 3rd || septatonic major third || || [[17_13|17/13]] || 464.427748 || to4 = tan-ochre 4th || septendecimal sub-fourth || || [[21_16|21/16]] || 470.780907 || b4 = blue 4th || sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic || || 33/25 || <span style="background-color: #ffffff;">480.645516</span> || jgg4 = jadish green 4th || "5-EDO"-esque fourth || || 117/88 || 493.1197 || ea4 = emerald amber 4th || tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1> || || [[4_3|4/3]] || 498.044999 || w4 = white 4th || just perfect fourth, octave-reduced 3rd subharmonic, diatessaron || || [[75_56|75/56]] || 505.756522 || ryy3 = reddish-yellow aug 3rd || marvelous fourth || || [[27_20|27/20]] || 519.551289 || g4 = green 4th || acute fourth || || [[xenharmonic/19_14|19/14]] || 528.6871 || fr4 = fawn-red 4th || 19-limit wide fourth || || [[49_36|49/36]] || 533.741811 || bb5 = deep blue dim 5th || Arabic lute acute fourth || || [[15_11|15/11]] || 536.950772 || ay4 = amberish 4th || undecimal augmented fourth, subaugmented fourth || || [[48_35|48/35]] || 546.815381 || gr4 = greenish 4th || septimal super-fourth || || [[11_8|11/8]] || 551.317942 || j4 = jade 4th || super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa || || [[18_13|18/13]] || 563.38234 || o4 = ochre 4th || tridecimal augmented fourth || || [[25_18|25/18]] || 568.717426 || yy4 = deep yellow 4th || classic augmented fourth, pental augmented fourth || || [[88_63|88/63]] || 578.582034 || jr4 = jade-red 4th || werckismic augmented fourth || || [[7_5|7/5]] || 582.512193 || bg5 = bluish 5th || augmented fourth, septimal tritone, Huygen's tritone || || 45/32 || 590.224 || y4 = yellow 4th || || || [[108_77|108/77]] || 585.721154 || ar4 = amber-red 4th || swetismic augmented fourth, |2, 3, 0, -1, -1> || || [[24_17|24/17]] || 596.999591 || u4 = umber 4th || smaller septendecimal tritone || || [[17_12|17/12]] || 603.000409 || t5 = tan 5th || larger septendecimal tritone || || 64/45 || 609.776 || g5 = green 5th || || || [[10_7|10/7]] || 617.487807 || ry4 = reddish 4th || diminished fifth, Euler's tritone, superaugmented fourth || || [[xenharmonic/23_16|23/16]] || 628.2743 || || 23-limit superaugmented fourth, octave-reduced 23rd harmonic || || [[36_25|36/25]] || 631.282574 || gg5 = deep green 5th || pental diminished fifth, classic diminshed fifth || || [[13_9|13/9]] || 636.61766 || e5 = emerald 5th || tridecimal diminished fifth || || [[16_11|16/11]] || 648.682058 || a5 = amber 5th || sub-fifth, octave-reduced 11th subharmonic || || [[35_24|35/24]] || 653.184619 || yb5 = yellowish 5th || septimal sub-fifth || || [[22_15|22/15]] || 663.049228 || jg5 = jadish 5th || undecimal diminished fifth, semidiminished fifth || || [[72_49|72/49]] || 666.258889 || rr4 = deep red aug 4th || septimal catafifth || || [[81_55|81/55]] || 670.188347 || ag5 = amber green 5th || undecimal catafifth || || 28/19 || <span style="background-color: #ffffff;">671.31289</span> || kb5 = khaki-blue 5th || 19-limit narrow fifth || || [[40_27|40/27]] || 680.448711 || y5 = yellow 5th || grave fifth || || [[112_75|112/75]] || 694.243478 || bgg6 = bluish-green dim 6th || marvelous fifth || || [[Just perfect fifth|3/2]] || 701.955001 || w5 = white 5th || [[perfect fifth|just perfect fifth]], octave-reduced 3rd harmonic, diapente || || [[xenharmonic/182_121|182/121]] || <span style="line-height: 1.5;">706.7177</span> || eaab6 = emerald blue deep amber 6th || tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 > || || 176/117 || <span style="line-height: 1.5;">706.8803</span> || oj5 = ochre-jade 5th || tridecimal gentle fifth, |4, -2, 0, 0, 1, -1> || || 50/33 || <span style="background-color: #ffffff;">719.354484</span> || ayy5 = amber deep yellow 5th || "5-EDO"-esque fifth || || [[32_21|32/21]] || 729.219093 || r5 = red 5th || super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic || || [[26_17|26/17]] || 735.572252 || ue5 = umber-emerald 5th || septendecimal super-fifth || || [[49_32|49/32]] || 737.651813 || bb6 = deep blue 6th || superduper fifth, octave-reduced 49th harmonic || || [[20_13|20/13]] || 745.786052 || oy5 = ochreish 5th || Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth || || [[17_11|17/11]] || 753.637467 || ta6 = tan-amber 6th || septendecimal subminor sixth || || [[14_9|14/9]] || 764.915905 || b6 = blue 6th || subminor sixth, septimal minor sixth, augmented fifth || || [[25_16|25/16]] || 772.627428 || yy5 = deep yellow 5th || pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic || || [[11_7|11/7]] || 782.492036 || jr5 = jade-red 5th || undecimal subminor sixth, undecimal augmented fifth || || 63/40 || 786.422 || bg6 = bluish 6th || || || 128/81 || 792.180 || sw6 = small white 6th || || || [[8_5|8/5]] || 813.686286 || g6 = green 6th || minor sixth, octave-reduced 5th subharmonic || || 413/256 || <span style="background-color: #ffffff;">827.997565</span> || || octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59) || || [[13_8|13/8]] || 840.527662 || e6 = emerald 6th || tridecimal neutral sixth, octave-reduced 13th harmonic || || [[80_49|80/49]] || 848.661901 || rryA5 = reddish-red aug 5th, p6 = purple 6th || || || [[49_30|49/30]] || 849.383198 || bbg7 = bluish-blue dim 7th, p6 = purple 6th || || || [[18_11|18/11]] || 852.59216 || a6 = amber 6th || undecimal neutral sixth || || [[28_17|28/17]] || 863.870497 || ub6 = umber-blue 6th || septendecimal submajor sixth || || [[5_3|5/3]] || 884.358713 || y6 = yellow 6th || major sixth || || [[42_25|42/25]] || 898.15348 || bgg7 = bluish-green dim 7th || || || [[27_16|27/16]] || 905.865003 || w6 = white 6th || Pythagorean major sixth, octave-reduced 27th harmonic || || [[22_13|22/13]] || 910.790821 || oj6 = ochre-jade 6th || tridecimal major sixth || || [[17_10|17/10]] || 918.641696 || tg7 = tannish 7th || septendecimal diminished seventh, septendecimal major sixth || || [[12_7|12/7]] || 933.129094 || r6 = red 6th || supermajor sixth, septimal major sixth, diminished seventh || || [[26_15|26/15]] || 952.258947 || eg7 = emeraldish 7th || semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth || || [[7_4|7/4]] || 968.825906 || b7 = blue 7th || subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic || || [[225_128|225/128]] || 976.537429 || Lyy6 = large deep yellow 6th || marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2> || || [[30_17|30/17]] || 983.313305 || uy6 = umberish aug 6th || septendecimal minor seventh || || [[16_9|16/9]] || 996.089998 || w7 = white 7th || Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic || || [[25_14|25/14]] || 1003.801521 || ryy6 = reddish-yellow aug 6th || || || [[9_5|9/5]] || 1017.596288 || g5 = green 7th || 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 || ay7 = amberish 7th || undecimal minor seventh, small undecimal neutral seventh || || [[64_35|64/35]] || 1044.86038 || gr7 = greenish 7th || || || [[11_6|11/6]] || 1049.362941 || j7 = jade 7th || undecimal neutral seventh, 21/4-tone || || [[24_13|24/13]] || 1061.427339 || o7 = ochre 7th || tridecimal neutral seventh || || [[13_7|13/7]] || 1071.701755 || er7 = emerald-red 7th || 16/3-tone, tridecimal submajor seventh || || [[28_15|28/15]] || 1080.557192 || bg8 = bluish dim 8ve || grave major seventh || || [[15_8|15/8]] || 1088.268715 || y7 = yellow 7th || major seventh, just major seventh, octave-reduced 15th harmonic || || [[32_17|32/17]] || 1095.04459 || u7 = umber 7th || small septendecimal major seventh, 8ve-reduced 17th subharmonic || || [[17_9|17/9]] || 1101.045408 || t8 = tan dim 8ve || large septendecimal major seventh || || [[243_128|243/128]] || 1109.775004 || Lw7 = large white 7th || Pythagorean major seventh, octave-reduced 243rd harmonic || || [[40_21|40/21]] || 1115.532907 || ry7 = reddish 7th || acute major seventh || || [[61_32|61/32]] || 1116.884905 || || octave-reduced 61st harmonic || || [[48_25|48/25]] || 1129.327573 || gg8 = deep green dim 8ve || || || 27/14 || 1137.039 || r7 = red 7th || || || [[xenharmonic/31_16|31/16]] || 1145.0356 || || 31-limit ultramajor seventh, octave-reduced 31st harmonic || || [[64_33|64/33]] || 1146.727057 || a8 = amber 8ve || octave-reduced 33rd subharmonic || || [[35_18|35/18]] || 1151.239619 || yb8 = yellowish 8ve || || || [[96_49|96/49]] || 1164.303188 || rr7 = deep red 7th || || || [[49_25|49/25]] || 1165.024385 || bbgg9 = deep bluish 9th || || || [[160_81|160/81]] || 1178.493814 || y8 = yellow 8ve || octave minus syntonic comma || || [[Octave|2/1]] || 1200 || w8 = white 8ve || [[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:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- 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:<h1> --><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 "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.<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 "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.<br />
<br />
Explanation of the color names is <a class="wiki_link" href="/Kite%27s%20color%20notation">here</a>.<br />
<br />
<hr />
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><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><a class="wiki_link" href="/Kite%27s%20color%20notation">Color notation</a><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<br />
</td>
<td>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 subcomm<br />
</td>
<td>schisma, |-15, 8, 1><br />
</td>
</tr>
<tr>
<td>225/224<br />
</td>
<td>7.712<br />
</td>
<td>ryy-2 = reddish-yellow subcomma<br />
</td>
<td>|-5, 2, 2, -1><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<br />
</td>
<td>Ptolemy's comma<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/99_98">99/98</a><br />
</td>
<td>17.576131<br />
</td>
<td>jrr-2 = jade deep red comma<br />
</td>
<td>Mothwellsma<br />
</td>
</tr>
<tr>
<td>2048/2025<br />
</td>
<td>19.553<br />
</td>
<td>sgg2 = small deep green comma<br />
</td>
<td>|11, -4, -2><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<br />
</td>
<td>Syntonic comma, Didymus comma<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/531441_524288">531441/524288</a><br />
</td>
<td>23.46001<br />
</td>
<td>LLw-2 = white comma<br />
</td>
<td>Pythagorean comma, Ditonic comma, |-19, 12><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<br />
</td>
<td>Winmeanma<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/65_64">65/64</a><br />
</td>
<td>26.841376<br />
</td>
<td>ey1 = emerald-yellow comma<br />
</td>
<td>Wilsorma, 13th-partial chroma<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/64_63">64/63</a><br />
</td>
<td>27.264092<br />
</td>
<td>r1 = red comma,<br />
</td>
<td>Septimal comma, Archytas' comma<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/3125_3072">3125/3072</a><br />
</td>
<td>29.613568<br />
</td>
<td>Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma<br />
</td>
<td>Magic comma, small diesis, |-10, -1, 5><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<br />
</td>
<td>septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/49_48">49/48</a><br />
</td>
<td>35.696812<br />
</td>
<td>bb2 = deep blue comma<br />
</td>
<td>large septimal diesis, slendro diesis<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/45_44">45/44</a><br />
</td>
<td>38.905773<br />
</td>
<td>ay1 = amber-yellow comma<br />
</td>
<td>undecimal 1/5th tone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/128_125">128/125</a><br />
</td>
<td>41.058858<br />
</td>
<td>g<span style="vertical-align: super;">3</span>2 = triple green comma,<br />
</td>
<td>Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3><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<br />
</td>
<td>Avicenna's enharmonic diesis, |-9, 1, 2, 1><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<br />
</td>
<td>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<br />
</td>
<td>Porcupine comma, |1, -5, 3><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<br />
</td>
<td>Harrison's comma, |-13, 10, 0, -1><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/100_97">100/97</a><br />
</td>
<td>52.732017<br />
</td>
<td><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<br />
</td>
<td>undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/648_625">648/</a>625<br />
</td>
<td>62.565148<br />
</td>
<td>g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd<br />
</td>
<td>diminished comma, major diesis, |8, 4, -4><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<br />
</td>
<td>septimal chroma, small septimal chromatic semitone, septimal subminor second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/25_24">25/24</a><br />
</td>
<td>70.672427<br />
</td>
<td>yy1 = deep yellow semitone<br />
</td>
<td>chroma, chromatic semitone, Zarlinian semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/68_65">68/65</a><br />
</td>
<td>78.114034<br />
</td>
<td>tog2 = tannish ocher 2nd<br />
</td>
<td>valentine semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/22_21">22/21</a><br />
</td>
<td>80.537035<br />
</td>
<td>jr1 = jade-red semitone<br />
</td>
<td>undecimal minor semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/64_61">64/61</a><br />
</td>
<td>83.115195<br />
</td>
<td><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<br />
</td>
<td>minor semitone, large septimal chromatic semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/256_243">256/243</a><br />
</td>
<td>90.224996<br />
</td>
<td>sw2 = small white 2nd<br />
</td>
<td>Pythagorean limma, Pythagorean minor second, |8, -5><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<br />
</td>
<td>major limma, |-7, 3, 1><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<br />
</td>
<td>small septendecimal semitone, Arabic lute index finger<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_16">17/16</a><br />
</td>
<td>104.95541<br />
</td>
<td>t2 = tan 2nd<br />
</td>
<td>large septendecimal semitone, octave-reduced 17th harmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/16_15">16/15</a><br />
</td>
<td>111.731285<br />
</td>
<td>g2 = green 2nd<br />
</td>
<td>diatonic semitone, classic minor second, octave-reduced 15th subharmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/2187_2048">2187/2048</a><br />
</td>
<td>113.685006<br />
</td>
<td>Lw1 = large white semitone<br />
</td>
<td>apotome, |-11, 7><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<br />
</td>
<td>undecimal secor<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/15_14">15/14</a><br />
</td>
<td>119.442808<br />
</td>
<td>ry1 = reddish semitone<br />
</td>
<td>septimal diatonic semitone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/14_13">14/13</a><br />
</td>
<td>128.298245<br />
</td>
<td>ob2 = ochre-blue 2nd<br />
</td>
<td>2/3-tone, trienthird, tridecimal supraminor second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/27_25">27/25</a><br />
</td>
<td>133.237575<br />
</td>
<td>gg2 = deep green 2nd<br />
</td>
<td>large limma<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/13_12">13/12</a><br />
</td>
<td>138.572661<br />
</td>
<td>e2 = emerald 2nd<br />
</td>
<td>tridecimal subtone, tridecimal 2/3-tone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/243_224">243/224</a><br />
</td>
<td>140.949098<br />
</td>
<td>Lr1 = large red semitone<br />
</td>
<td>septimal subtone, |-5, 5, 0, -1><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<br />
</td>
<td>undecimal subtone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/49_45">49/45</a><br />
</td>
<td>147.428097<br />
</td>
<td>bbg3 = bluish-blue dim 3rd<br />
</td>
<td>swetismic neutral second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/12_11">12/11</a><br />
</td>
<td>150.637059<br />
</td>
<td>a2 = amber 2nd<br />
</td>
<td>small undecimal neutral second, 3/4-tone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/35_32">35/32</a><br />
</td>
<td>155.13962<br />
</td>
<td>yb2 = yellowish 2nd<br />
</td>
<td>septimal neutral second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/78_71">78/71</a><br />
</td>
<td>162.786119<br />
</td>
<td><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 = jadish 2nd<br />
</td>
<td>large undecimal neutral second, 4/5-tone, Ptolemy's second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/54_49">54/49</a><br />
</td>
<td>168.21319<br />
</td>
<td>rr1 = deep red augmented unison<br />
</td>
<td>Zalzal's mujannab<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/10_9">10/9</a><br />
</td>
<td>182.403712<br />
</td>
<td>y2 = yellow 2nd<br />
</td>
<td>minor whole tone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/49_44">49/44</a><br />
</td>
<td>186.333871<br />
</td>
<td>abb3 = amber deep blue dim 3rd<br />
</td>
<td>werckismic minor second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="http://xenharmonic.wikispaces.com/19_17">19/17</a><br />
</td>
<td>192.5576<br />
</td>
<td>fu2 = fawn umber 2nd<br />
</td>
<td>quasi-meantone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/28_25">28/25</a><br />
</td>
<td>196.198479<br />
</td>
<td>bgg3 = bluish-green dim 3rd<br />
</td>
<td>middle major second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/55_49">55/49</a><br />
</td>
<td>199.979843<br />
</td>
<td>jrry1 = jade-red reddish double-aug unison<br />
</td>
<td>werckismic tone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/9_8">9/8</a><br />
</td>
<td>203.910002<br />
</td>
<td>w2 = white 2nd, major whole tone<br />
</td>
<td>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<br />
</td>
<td>septendecimal whole tone, septendecimal eventone<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/8_7">8/7</a><br />
</td>
<td>231.174094<br />
</td>
<td>r2 = red 2nd<br />
</td>
<td>supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/63_55">63/55</a><br />
</td>
<td>235.104252<br />
</td>
<td>abg3 = amber bluish dim 3rd<br />
</td>
<td>werckismic supermajor second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/55_48">55/48</a><br />
</td>
<td>235.676655<br />
</td>
<td>jy2 = jade-yellow 2nd<br />
</td>
<td>keenanismic supermajor second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/15_13">15/13</a><br />
</td>
<td>247.741053<br />
</td>
<td>oy2 = ochre-yellow 2nd<br />
</td>
<td>semifourth, tridecimal ultramajor second, tridecimal inframinor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/22_19">22/19</a><br />
</td>
<td>253.804926<br />
</td>
<td>kj2 = khaki-jade 2nd<br />
</td>
<td>minimal minor third, godzilla third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/64_55">64/55</a><br />
</td>
<td>262.368344<br />
</td>
<td>ag3 = amber-green 3rd<br />
</td>
<td>keenanismic subminor third, octave-reduced 55th subharmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/7_6">7/6</a><br />
</td>
<td>266.870906<br />
</td>
<td>b3 = blue 3rd<br />
</td>
<td>subminor third, septimal minor third, augmented second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/90_77">90/77</a><br />
</td>
<td>270.079867<br />
</td>
<td>ary2 = amber reddish 2nd<br />
</td>
<td>swetismic subminor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/62_53">62/53</a><br />
</td>
<td>271.531027<br />
</td>
<td><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<br />
</td>
<td>classic augmented second<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/20_17">20/17</a><br />
</td>
<td>281.358304<br />
</td>
<td>uy2 = umber yellow aug 2nd<br />
</td>
<td>septendecimal augmented second, septendecimal minor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/13_11">13/11</a><br />
</td>
<td>289.209179<br />
</td>
<td>ea3 = emerald amber 3rd<br />
</td>
<td>tridecimal minor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/32_27">32/27</a><br />
</td>
<td>294.134997<br />
</td>
<td>w3 = white 3rd<br />
</td>
<td>Pythagorean minor third, octave-reduced 27th subharmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/19_16">19/16</a><br />
</td>
<td>297.513016<br />
</td>
<td>f3 = fawn 3rd<br />
</td>
<td>otonal minor third, octave-reduced 19th harmonic<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/25_21">25/21</a><br />
</td>
<td>301.84652<br />
</td>
<td>ryy2 = reddish-yellow aug 2nd<br />
</td>
<td>quasi-tempered minor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/61_51">61/51</a><br />
</td>
<td>309.974395<br />
</td>
<td><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<br />
</td>
<td>minor third, pental minor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/77_64">77/64</a><br />
</td>
<td>320.143849<br />
</td>
<td>jb3 = jade blue 3rd<br />
</td>
<td>keenanismic minor third, octave-reduced 77th harmonic<br />
</td>
</tr>
<tr>
<td>135/112<br />
</td>
<td>323.3528<br />
</td>
<td>ry2 = reddish aug 2nd<br />
</td>
<td>large septimal minor third, marvelous minor third, |-4, 3, 1, -1><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/35_29">35/29</a><br />
</td>
<td>325.562426<br />
</td>
<td><br />
</td>
<td>doublewide minor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/17_14">17/14</a><br />
</td>
<td>336.129503<br />
</td>
<td>tr3 = tan red 3rd<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><br />
</td>
<td>amity supraminor third<br />
</td>
</tr>
<tr>
<td>625/512<br />
</td>
<td><span style="background-color: #ffffff;">345.254855</span><br />
</td>
<td>Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow double-aug 2nd<br />
</td>
<td>5-limit neutral third, |-9, 0, 4><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/11_9">11/9</a><br />
</td>
<td>347.40794<br />
</td>
<td>j3 = jade 3rd<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>rry2 = reddish-red aug 2nd, p3 = purple 3rd<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>bbg4 = bluish blue dim 4th, p3 = purple 3rd<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>a3 = amber 3rd<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>o3 = ochre 3rd<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>ub3 = umber-blue 3rd<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>bg4 = bluish dim 4th<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><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><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><br />
</td>
<td>magic major third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/96_77">96/77</a><br />
</td>
<td>381.811152<br />
</td>
<td>ar3 = amber-red 3rd<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>y3 = yellow 3rd<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>Lw3 = large white 3rd<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>ry3 = reddish 3rd<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>ab4 = amber-blue 4th<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>gg4 = deep green dim 4th<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>jbg4 = jade-bluish 4th<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>r3 = red 3rd<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><br />
</td>
<td>sensi supermajor third<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/22_17">22/17</a><br />
</td>
<td>446.362533<br />
</td>
<td>uj3 = umber jade 3rd<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>yb4 = yellowish 4th<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>eg4 = emerald-green 4th<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>rr3 = deep red 3rd<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>to4 = tan-ochre 4th<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>b4 = blue 4th<br />
</td>
<td>sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic<br />
</td>
</tr>
<tr>
<td>33/25<br />
</td>
<td><span style="background-color: #ffffff;">480.645516</span><br />
</td>
<td>jgg4 = jadish green 4th<br />
</td>
<td>"5-EDO"-esque fourth<br />
</td>
</tr>
<tr>
<td>117/88<br />
</td>
<td>493.1197<br />
</td>
<td>ea4 = emerald amber 4th<br />
</td>
<td>tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/4_3">4/3</a><br />
</td>
<td>498.044999<br />
</td>
<td>w4 = white 4th<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>ryy3 = reddish-yellow aug 3rd<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>g4 = green 4th<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>fr4 = fawn-red 4th<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>bb5 = deep blue dim 5th<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>ay4 = amberish 4th<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>gr4 = greenish 4th<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>j4 = jade 4th<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>o4 = ochre 4th<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>yy4 = deep yellow 4th<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>jr4 = jade-red 4th<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>bg5 = bluish 5th<br />
</td>
<td>augmented fourth, septimal tritone, Huygen's tritone<br />
</td>
</tr>
<tr>
<td>45/32<br />
</td>
<td>590.224<br />
</td>
<td>y4 = yellow 4th<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/108_77">108/77</a><br />
</td>
<td>585.721154<br />
</td>
<td>ar4 = amber-red 4th<br />
</td>
<td>swetismic augmented fourth, |2, 3, 0, -1, -1><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/24_17">24/17</a><br />
</td>
<td>596.999591<br />
</td>
<td>u4 = umber 4th<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>t5 = tan 5th<br />
</td>
<td>larger septendecimal tritone<br />
</td>
</tr>
<tr>
<td>64/45<br />
</td>
<td>609.776<br />
</td>
<td>g5 = green 5th<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/10_7">10/7</a><br />
</td>
<td>617.487807<br />
</td>
<td>ry4 = reddish 4th<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><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>gg5 = deep green 5th<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>e5 = emerald 5th<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>a5 = amber 5th<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>yb5 = yellowish 5th<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>jg5 = jadish 5th<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>rr4 = deep red aug 4th<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>ag5 = amber green 5th<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>kb5 = khaki-blue 5th<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>y5 = yellow 5th<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>bgg6 = bluish-green dim 6th<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>w5 = white 5th<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>eaab6 = emerald blue deep amber 6th<br />
</td>
<td>tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 ><br />
</td>
</tr>
<tr>
<td>176/117<br />
</td>
<td><span style="line-height: 1.5;">706.8803</span><br />
</td>
<td>oj5 = ochre-jade 5th<br />
</td>
<td>tridecimal gentle fifth, |4, -2, 0, 0, 1, -1><br />
</td>
</tr>
<tr>
<td>50/33<br />
</td>
<td><span style="background-color: #ffffff;">719.354484</span><br />
</td>
<td>ayy5 = amber deep yellow 5th<br />
</td>
<td>"5-EDO"-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>r5 = red 5th<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>ue5 = umber-emerald 5th<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>bb6 = deep blue 6th<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>oy5 = ochreish 5th<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>ta6 = tan-amber 6th<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>b6 = blue 6th<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>yy5 = deep yellow 5th<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>jr5 = jade-red 5th<br />
</td>
<td>undecimal subminor sixth, undecimal augmented fifth<br />
</td>
</tr>
<tr>
<td>63/40<br />
</td>
<td>786.422<br />
</td>
<td>bg6 = bluish 6th<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>128/81<br />
</td>
<td>792.180<br />
</td>
<td>sw6 = small white 6th<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/8_5">8/5</a><br />
</td>
<td>813.686286<br />
</td>
<td>g6 = green 6th<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><br />
</td>
<td>octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)<br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/13_8">13/8</a><br />
</td>
<td>840.527662<br />
</td>
<td>e6 = emerald 6th<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>rryA5 = reddish-red aug 5th, p6 = purple 6th<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>bbg7 = bluish-blue dim 7th, p6 = purple 6th<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>a6 = amber 6th<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>ub6 = umber-blue 6th<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>y6 = yellow 6th<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>bgg7 = bluish-green dim 7th<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>w6 = white 6th<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>oj6 = ochre-jade 6th<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>tg7 = tannish 7th<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>r6 = red 6th<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>eg7 = emeraldish 7th<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>b7 = blue 7th<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>Lyy6 = large deep yellow 6th<br />
</td>
<td>marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2><br />
</td>
</tr>
<tr>
<td><a class="wiki_link" href="/30_17">30/17</a><br />
</td>
<td>983.313305<br />
</td>
<td>uy6 = umberish aug 6th<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>w7 = white 7th<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>ryy6 = reddish-yellow aug 6th<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>g5 = green 7th<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><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>ay7 = amberish 7th<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>gr7 = greenish 7th<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>j7 = jade 7th<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>o7 = ochre 7th<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>er7 = emerald-red 7th<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>bg8 = bluish dim 8ve<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>y7 = yellow 7th<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>u7 = umber 7th<br />
</td>
<td>small septendecimal major seventh, 8ve-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>t8 = tan dim 8ve<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>Lw7 = large white 7th<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>ry7 = reddish 7th<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><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>gg8 = deep green dim 8ve<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>27/14<br />
</td>
<td>1137.039<br />
</td>
<td>r7 = red 7th<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><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>a8 = amber 8ve<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>yb8 = yellowish 8ve<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>rr7 = deep red 7th<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>bbgg9 = deep bluish 9th<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>y8 = yellow 8ve<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>w8 = white 8ve<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:<h1> --><h1 id="toc2"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:4 -->Links</h1>
<br />
<a class="wiki_link_ext" href="http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt" rel="nofollow">Regions of the Interval Spectrum</a> by Margo Schulter <a class="wiki_link_ext" href="http://www.webcitation.org/5xeoz4zmC" rel="nofollow">Permalink</a><br />
<a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/intervals.html" rel="nofollow">Manuel Op de Coul interval list</a><br />
<a class="wiki_link_ext" href="http://www.kylegann.com/Octave.html" rel="nofollow">Anantomy of an Octave</a> by Kyle Gann<br />
<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span></body></html>