Gallery of just intervals: Difference between revisions
Wikispaces>genewardsmith **Imported revision 348827478 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 350970860 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-07-06 18:25:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>350970860</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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||~ frequency ratio ||~ cents value (three decimal places) ||~ some common names || | ||~ frequency ratio ||~ cents value (three decimal places) ||~ some common names || | ||
|| [[1_1|1/1]] || | || [[1_1|1/1]] || 0 || unison, unity, perfect prime, tonic || | ||
|| [[32805_32768|32805/32768]] || 1.954 || schisma || | || [[32805_32768|32805/32768]] || 1.954 || schisma || | ||
|| [[100_99|100/99]] || 17.344 || Ptolemy's comma || | || [[100_99|100/99]] || 17.344 || Ptolemy's comma || | ||
|| [[81_80|81/80]] || 21.506 || syntonic comma, Didymus comma || | || [[81_80|81/80]] || 21.506 || syntonic comma, Didymus comma || | ||
|| [[531441_524288|531441/524288]] || 23. | || [[531441_524288|531441/524288]] || 23.46 || Pythagorean comma, ditonic comma || | ||
|| [[65_64|65/64]] || 26.841 || 13th-partial chroma || | || [[65_64|65/64]] || 26.841 || 13th-partial chroma || | ||
|| [[64_63|64/63]] || 27.264 || septimal comma, Archytas' comma || | || [[64_63|64/63]] || 27.264 || septimal comma, Archytas' comma || | ||
| Line 34: | Line 34: | ||
|| [[45_44|45/44]] || 38.906 || undecimal 1/5th tone || | || [[45_44|45/44]] || 38.906 || undecimal 1/5th tone || | ||
|| [[525_512|525/512]] || 43.408 || Avicenna's enharmonic diesis || | || [[525_512|525/512]] || 43.408 || Avicenna's enharmonic diesis || | ||
|| [[36_35|36/35]] || 48. | || [[36_35|36/35]] || 48.77 || septimal quarter tone || | ||
|| [[100_97|100/97]] || 52.732 || | || [[100_97|100/97]] || 52.732 || shrutar quarter tone || | ||
|| [[33_32|33/32]] || 53.273 || undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave reduced 33rd harmonic || | || [[33_32|33/32]] || 53.273 || undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave reduced 33rd harmonic || | ||
|| [[28_27|28/27]] || 62.961 || septimal chroma, small septimal chromatic semitone || | || [[28_27|28/27]] || 62.961 || septimal chroma, small septimal chromatic semitone || | ||
| Line 55: | Line 55: | ||
|| [[243_224|243/224]] || 140.949 || septimal chromatic semitone || | || [[243_224|243/224]] || 140.949 || septimal chromatic semitone || | ||
|| [[12_11|12/11]] || 150.637 || small undecimal neutral second, 3/4-tone || | || [[12_11|12/11]] || 150.637 || small undecimal neutral second, 3/4-tone || | ||
|| [[35_32|35/32]] || 155. | || [[35_32|35/32]] || 155.14 || septimal neutral second || | ||
|| [[78_71|78/71]] || 162.786 || porcupine neutral second || | || [[78_71|78/71]] || 162.786 || porcupine neutral second || | ||
|| [[11_10|11/10]] || 165.004 || large undecimal neutral second, 4/5-tone, Ptolemy's second || | || [[11_10|11/10]] || 165.004 || large undecimal neutral second, 4/5-tone, Ptolemy's second || | ||
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|| [[10_9|10/9]] || 182.404 || minor whole tone || | || [[10_9|10/9]] || 182.404 || minor whole tone || | ||
|| [[28_25|28/25]] || 196.198 || middle second || | || [[28_25|28/25]] || 196.198 || middle second || | ||
|| [[9_8|9/8]] || 203. | || [[9_8|9/8]] || 203.91 || major whole tone, Pythagorean tone, octave reduced 9th harmonic || | ||
|| [[17_15|17/15]] || 216.687 || septendecimal whole tone || | || [[17_15|17/15]] || 216.687 || septendecimal whole tone || | ||
|| [[8_7|8/7]] || 231.174 || supermajor second, septimal whole tone, diminished third, 7th subharmonic || | || [[8_7|8/7]] || 231.174 || supermajor second, septimal whole tone, diminished third, 7th subharmonic || | ||
| Line 76: | Line 76: | ||
|| [[6_5|6/5]] || 315.641 || minor third || | || [[6_5|6/5]] || 315.641 || minor third || | ||
|| [[35_29|35/29]] || 325.562 || doublewide minor third || | || [[35_29|35/29]] || 325.562 || doublewide minor third || | ||
|| [[17_14|17/14]] || 336. | || [[17_14|17/14]] || 336.13 || septendecimal supraminor third || | ||
|| [[73_60|73/60]] || 339.521 || amity supraminor third || | || [[73_60|73/60]] || 339.521 || amity supraminor third || | ||
|| [[11_9|11/9]] || 347.408 || undecimal neutral third || | || [[11_9|11/9]] || 347.408 || undecimal neutral third || | ||
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|| [[76_61|76/61]] || 380.628 || magic major third || | || [[76_61|76/61]] || 380.628 || magic major third || | ||
|| [[5_4|5/4]] || 386.314 || major third, octave reduced 5th harmonic || | || [[5_4|5/4]] || 386.314 || major third, octave reduced 5th harmonic || | ||
|| [[81_64|81/64]] || 407. | || [[81_64|81/64]] || 407.82 || Pythagorean major third, octave reduced 81st harmonic || | ||
|| [[14_11|14/11]] || 417.508 || undecimal major third, undecimal diminished fourth || | || [[14_11|14/11]] || 417.508 || undecimal major third, undecimal diminished fourth || | ||
|| [[32_25|32/25]] || 427.373 || classic diminished fourth || | || [[32_25|32/25]] || 427.373 || classic diminished fourth || | ||
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|| [[25_18|25/18]] || 568.717 || classic augmented fourth, pental augmented fourth || | || [[25_18|25/18]] || 568.717 || classic augmented fourth, pental augmented fourth || | ||
|| [[7_5|7/5]] || 582.512 || augmented fourth, septimal tritone, Huygen's tritone || | || [[7_5|7/5]] || 582.512 || augmented fourth, septimal tritone, Huygen's tritone || | ||
|| [[24_17|24/17]] || 597 | || [[24_17|24/17]] || 597 || smaller septendecimal tritone || | ||
|| [[17_12|17/12]] || 603 | || [[17_12|17/12]] || 603 || larger septendecimal tritone || | ||
|| [[10_7|10/7]] || 617.488 || diminished fifth, Euler's tritone, superaugmented fourth || | || [[10_7|10/7]] || 617.488 || diminished fifth, Euler's tritone, superaugmented fourth || | ||
|| [[36_25|36/25]] || 631.283 || | || [[36_25|36/25]] || 631.283 || pental augmented fifth, classic augmented fifth || | ||
|| [[13_9|13/9]] || 636.618 || tridecimal diminished fifth || | || [[13_9|13/9]] || 636.618 || tridecimal diminished fifth || | ||
|| [[16_11|16/11]] || 648.682 || sub-fifth, undecimal semi-diminished fifth, 11th subharmonic (octave reduced) || | || [[16_11|16/11]] || 648.682 || sub-fifth, undecimal semi-diminished fifth, 11th subharmonic (octave reduced) || | ||
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|| [[49_30|49/30]] || 849.383 || || | || [[49_30|49/30]] || 849.383 || || | ||
|| [[18_11|18/11]] || 852.592 || undecimal neutral sixth || | || [[18_11|18/11]] || 852.592 || undecimal neutral sixth || | ||
|| [[28_17|28/17]] || 863. | || [[28_17|28/17]] || 863.87 || septendecimal submajor sixth || | ||
|| [[5_3|5/3]] || 884.359 || major sixth || | || [[5_3|5/3]] || 884.359 || major sixth || | ||
|| [[42_25|42/25]] || 898.153 || || | || [[42_25|42/25]] || 898.153 || || | ||
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|| [[225_128|225/128]] || 976.537 || marvel five-limit harmonic seventh || | || [[225_128|225/128]] || 976.537 || marvel five-limit harmonic seventh || | ||
|| [[30_17|30/17]] || 983.313 || septendecimal minor seventh || | || [[30_17|30/17]] || 983.313 || septendecimal minor seventh || | ||
|| [[16_9|16/9]] || 996. | || [[16_9|16/9]] || 996.09 || Pythagorean minor seventh, small minor seventh, octave reduced 9th subharmonic || | ||
|| [[25_14|25/14]] || 1003.802 || || | || [[25_14|25/14]] || 1003.802 || || | ||
|| [[9_5|9/5]] || 1017.596 || minor seventh, large minor seventh || | || [[9_5|9/5]] || 1017.596 || minor seventh, large minor seventh || | ||
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|| [[49_25|49/25]] || 1165.024 || || | || [[49_25|49/25]] || 1165.024 || || | ||
|| [[160_81|160/81]] || 1178.494 || octave minus syntonic comma || | || [[160_81|160/81]] || 1178.494 || octave minus syntonic comma || | ||
|| [[Octave|2/1]] || 1200 | || [[Octave|2/1]] || 1200 || octave, diapason || | ||
=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]] | ||
[[http://www.kylegann.com/Octave.html|Anantomy of an Octave]] by Kyle Gann</pre></div> | [[http://www.kylegann.com/Octave.html|Anantomy of an Octave]] by Kyle Gann | ||
<span style="display: block; height: 1px; left: 0px; overflow-x: hidden; overflow-y: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span></pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gallery of Just Intervals</title></head><body><!-- ws:start:WikiTextTocRule:6:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Introduction">Introduction</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Gallery of Just Intervals">Gallery of Just Intervals</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gallery of Just Intervals</title></head><body><!-- ws:start:WikiTextTocRule:6:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:6 --><!-- ws:start:WikiTextTocRule:7: --><a href="#Introduction">Introduction</a><!-- ws:end:WikiTextTocRule:7 --><!-- ws:start:WikiTextTocRule:8: --> | <a href="#Gallery of Just Intervals">Gallery of Just Intervals</a><!-- ws:end:WikiTextTocRule:8 --><!-- ws:start:WikiTextTocRule:9: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:9 --><!-- ws:start:WikiTextTocRule:10: --> | ||
| Line 199: | Line 200: | ||
<td><a class="wiki_link" href="/1_1">1/1</a><br /> | <td><a class="wiki_link" href="/1_1">1/1</a><br /> | ||
</td> | </td> | ||
<td> | <td>0<br /> | ||
</td> | </td> | ||
<td>unison, unity, perfect prime, tonic<br /> | <td>unison, unity, perfect prime, tonic<br /> | ||
| Line 231: | Line 232: | ||
<td><a class="wiki_link" href="/531441_524288">531441/524288</a><br /> | <td><a class="wiki_link" href="/531441_524288">531441/524288</a><br /> | ||
</td> | </td> | ||
<td>23. | <td>23.46<br /> | ||
</td> | </td> | ||
<td>Pythagorean comma, ditonic comma<br /> | <td>Pythagorean comma, ditonic comma<br /> | ||
| Line 287: | Line 288: | ||
<td><a class="wiki_link" href="/36_35">36/35</a><br /> | <td><a class="wiki_link" href="/36_35">36/35</a><br /> | ||
</td> | </td> | ||
<td>48. | <td>48.77<br /> | ||
</td> | </td> | ||
<td>septimal quarter tone<br /> | <td>septimal quarter tone<br /> | ||
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<td><a class="wiki_link" href="/35_32">35/32</a><br /> | <td><a class="wiki_link" href="/35_32">35/32</a><br /> | ||
</td> | </td> | ||
<td>155. | <td>155.14<br /> | ||
</td> | </td> | ||
<td>septimal neutral second<br /> | <td>septimal neutral second<br /> | ||
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<td><a class="wiki_link" href="/9_8">9/8</a><br /> | <td><a class="wiki_link" href="/9_8">9/8</a><br /> | ||
</td> | </td> | ||
<td>203. | <td>203.91<br /> | ||
</td> | </td> | ||
<td>major whole tone, Pythagorean tone, octave reduced 9th harmonic<br /> | <td>major whole tone, Pythagorean tone, octave reduced 9th harmonic<br /> | ||
| Line 623: | Line 624: | ||
<td><a class="wiki_link" href="/17_14">17/14</a><br /> | <td><a class="wiki_link" href="/17_14">17/14</a><br /> | ||
</td> | </td> | ||
<td>336. | <td>336.13<br /> | ||
</td> | </td> | ||
<td>septendecimal supraminor third<br /> | <td>septendecimal supraminor third<br /> | ||
| Line 703: | Line 704: | ||
<td><a class="wiki_link" href="/81_64">81/64</a><br /> | <td><a class="wiki_link" href="/81_64">81/64</a><br /> | ||
</td> | </td> | ||
<td>407. | <td>407.82<br /> | ||
</td> | </td> | ||
<td>Pythagorean major third, octave reduced 81st harmonic<br /> | <td>Pythagorean major third, octave reduced 81st harmonic<br /> | ||
| Line 863: | Line 864: | ||
<td><a class="wiki_link" href="/24_17">24/17</a><br /> | <td><a class="wiki_link" href="/24_17">24/17</a><br /> | ||
</td> | </td> | ||
<td>597 | <td>597<br /> | ||
</td> | </td> | ||
<td>smaller septendecimal tritone<br /> | <td>smaller septendecimal tritone<br /> | ||
| Line 871: | Line 872: | ||
<td><a class="wiki_link" href="/17_12">17/12</a><br /> | <td><a class="wiki_link" href="/17_12">17/12</a><br /> | ||
</td> | </td> | ||
<td>603 | <td>603<br /> | ||
</td> | </td> | ||
<td>larger septendecimal tritone<br /> | <td>larger septendecimal tritone<br /> | ||
| Line 1,055: | Line 1,056: | ||
<td><a class="wiki_link" href="/28_17">28/17</a><br /> | <td><a class="wiki_link" href="/28_17">28/17</a><br /> | ||
</td> | </td> | ||
<td>863. | <td>863.87<br /> | ||
</td> | </td> | ||
<td>septendecimal submajor sixth<br /> | <td>septendecimal submajor sixth<br /> | ||
| Line 1,143: | Line 1,144: | ||
<td><a class="wiki_link" href="/16_9">16/9</a><br /> | <td><a class="wiki_link" href="/16_9">16/9</a><br /> | ||
</td> | </td> | ||
<td>996. | <td>996.09<br /> | ||
</td> | </td> | ||
<td>Pythagorean minor seventh, small minor seventh, octave reduced 9th subharmonic<br /> | <td>Pythagorean minor seventh, small minor seventh, octave reduced 9th subharmonic<br /> | ||
| Line 1,311: | Line 1,312: | ||
<td><a class="wiki_link" href="/Octave">2/1</a><br /> | <td><a class="wiki_link" href="/Octave">2/1</a><br /> | ||
</td> | </td> | ||
<td>1200 | <td>1200<br /> | ||
</td> | </td> | ||
<td>octave, diapason<br /> | <td>octave, diapason<br /> | ||
| Line 1,322: | Line 1,323: | ||
<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</body></html></pre></div> | <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-x: hidden; overflow-y: hidden; position: absolute; top: 1754px; width: 1px;">1.9537207879341594002771772863067</span></body></html></pre></div> | |||