Small comma: Difference between revisions
Wikispaces>genewardsmith **Imported revision 244447905 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 244888475 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-08- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-08 15:31:35 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>244888475</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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[[135_128|135 / 128]] = |-7 3 1>: [[major chroma]], [[major limma]], [[pelogic comma]] (92.179 [[cent]]s) | [[135_128|135 / 128]] = |-7 3 1>: [[major chroma]], [[major limma]], [[pelogic comma]] (92.179 [[cent]]s) | ||
5000000 / 4782969 = |6 -14 7>: sevond (76.826 cents) | 5000000 / 4782969 = |6 -14 7>: sevond (76.826 cents) | ||
25 /24 = |-3 -1 2>: chromatic semitone (70.672 cents) | [[25_24|25 / 24]] = |-3 -1 2>: chromatic semitone (70.672 cents) | ||
20480 / 19683 = |12 -9 1>: grave minor second (68.719 cents) | 20480 / 19683 = |12 -9 1>: grave minor second (68.719 cents) | ||
648 / 625 = |3 4 -4>: major diesis, diminished comma (62.565 cents) | 648 / 625 = |3 4 -4>: major diesis, diminished comma (62.565 cents) | ||
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250 / 243 = |1 -5 3>: maximal diesis, porcupine comma (49.166 cents) | 250 / 243 = |1 -5 3>: maximal diesis, porcupine comma (49.166 cents) | ||
1638400 / 1594323 = |16 -13 2>: immunity (47.212 cents) | 1638400 / 1594323 = |16 -13 2>: immunity (47.212 cents) | ||
128 / 125 = |7 0 -3>: diesis, augmented comma (41.059 cents) | [[128_125|128 / 125]] = |7 0 -3>: diesis, augmented comma (41.059 cents) | ||
9765625 / 9565938 = |-1 -14 10>: fifive (35.767 cents) | 9765625 / 9565938 = |-1 -14 10>: fifive (35.767 cents) | ||
1594323 / 1562500 = |-2 13 -8>: unicorn (34.905 cents) | 1594323 / 1562500 = |-2 13 -8>: unicorn (34.905 cents) | ||
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20000 / 19683 = |5 -9 4>: minimal diesis, tetracot comma (27.660 cents) | 20000 / 19683 = |5 -9 4>: minimal diesis, tetracot comma (27.660 cents) | ||
131072000 / 129140163 = |20 -17 3> roda (25.706 cents) | 131072000 / 129140163 = |20 -17 3> roda (25.706 cents) | ||
81 / 80 = |-4 4 -1>: syntonic comma, Didymos comma, meantone comma (21.506 cents) | [[81_80|81 / 80]] = |-4 4 -1>: syntonic comma, Didymos comma, meantone comma (21.506 cents) | ||
2048 / 2025 = |11 -4 -2>: diaschisma (19.553 cents) | 2048 / 2025 = |11 -4 -2>: diaschisma (19.553 cents) | ||
67108864 / 66430125 = |26 -12 -3>: misty comma (17.599 cents) | 67108864 / 66430125 = |26 -12 -3>: misty comma (17.599 cents) | ||
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===7-limit commas=== | ===7-limit commas=== | ||
1029 / 1000 = |-3 1 -3 3>: keega (49.492 [[cent]]s) | 1029 / 1000 = |-3 1 -3 3>: keega (49.492 [[cent]]s) | ||
36 / 35 = |2 2 -1 -1>: septimal quarter tone (48.770 cents) | [[36_35|36 / 35]] = |2 2 -1 -1>: septimal quarter tone (48.770 cents) | ||
525 / 512 = |-9 1 2 1>: avicennma, Avicenna's enharmonic diesis (43.408 cents) | 525 / 512 = |-9 1 2 1>: avicennma, Avicenna's enharmonic diesis (43.408 cents) | ||
49 / 48 = |-4 -1 0 2>: slendro diesis (35.597 cents) | [[49_48|49 / 48]] = |-4 -1 0 2>: slendro diesis (35.597 cents) | ||
50 / 49 = |1 0 2 -2>: tritonic diesis, jubilisma (34.976 cents) | [[50_49|50 / 49]] = |1 0 2 -2>: tritonic diesis, jubilisma (34.976 cents) | ||
686 / 675 = |1 -3 -2 3>: senga (27.985 cents) | 686 / 675 = |1 -3 -2 3>: senga (27.985 cents) | ||
64 / 63 = |6 -2 0 -1>: septimal comma, Archytas' comma ([[http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma|"Leipziger Komma"]]) (27.264 cents) | [[64_63|64 / 63]] = |6 -2 0 -1>: septimal comma, Archytas' comma ([[http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma|"Leipziger Komma"]]) (27.264 cents) | ||
854296875 / 843308032 = |-10 7 8 -7>: blackjackisma (22.413 cents) | 854296875 / 843308032 = |-10 7 8 -7>: blackjackisma (22.413 cents) | ||
64827 / 64000 = |-9 3 -3 4>: squalentine (22.227 cents) | 64827 / 64000 = |-9 3 -3 4>: squalentine (22.227 cents) | ||
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50421 / 50000 = |-4 1 -5 5>: trimyna (14.516 cents) | 50421 / 50000 = |-4 1 -5 5>: trimyna (14.516 cents) | ||
245 / 243 = |0 -5 1 2>: sensamagic (14.191 cents) | 245 / 243 = |0 -5 1 2>: sensamagic (14.191 cents) | ||
126 / 125 = |1 2 -3 1>: septimal semicomma, starling comma (13.795 cents) | [[126_125|126 / 125]] = |1 2 -3 1>: septimal semicomma, starling comma (13.795 cents) | ||
4000 / 3969 = |5 -4 3 -2>: octagar (13.469 cents) | 4000 / 3969 = |5 -4 3 -2>: octagar (13.469 cents) | ||
1728 /1715 = |6 3 -1 -3>: orwellisma, orwell comma (13.074 cents) | 1728 /1715 = |6 3 -1 -3>: orwellisma, orwell comma (13.074 cents) | ||
1029 / 1024 = |-10 1 0 3>: gamelisma (8.433 cents) | 1029 / 1024 = |-10 1 0 3>: gamelisma (8.433 cents) | ||
321489 / 320000 = |-9 8 -4 2>: varunisma (8.037 cents) | 321489 / 320000 = |-9 8 -4 2>: varunisma (8.037 cents) | ||
225 / 224 = |-5 2 2 -1>: septimal kleisma, marvel comma (7.712 cents) | [[225_224|225 / 224]] = |-5 2 2 -1>: septimal kleisma, marvel comma (7.712 cents) | ||
19683 / 19600 = |-4 9 -2 -2>: cataharry (7.316 cents) | 19683 / 19600 = |-4 9 -2 -2>: cataharry (7.316 cents) | ||
16875 / 16807 = |0 3 4 -5>: mirkwai (6.990 cents) | 16875 / 16807 = |0 3 4 -5>: mirkwai (6.990 cents) | ||
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703125 / 702464 = |-11 2 7 -3>: meter (1.628 cents) | 703125 / 702464 = |-11 2 7 -3>: meter (1.628 cents) | ||
420175 / 419904 = |-6 -8 2 5>: wizma (1.117 cents) | 420175 / 419904 = |-6 -8 2 5>: wizma (1.117 cents) | ||
2401 / 2400 = |-5 -1 -2 4>: breedsma (0.721 cents) | [[2401_2400|2401 / 2400]] = |-5 -1 -2 4>: breedsma (0.721 cents) | ||
4375 / 4374 = |-1 -7 4 1>: ragisma (0.396 cents) | 4375 / 4374 = |-1 -7 4 1>: ragisma (0.396 cents) | ||
140737488355328 / 140710042265625 = |47, -7, -7, -7>: akjaysma, 5\7 octave comma, (0.338 cents) | 140737488355328 / 140710042265625 = |47, -7, -7, -7>: akjaysma, 5\7 octave comma, (0.338 cents) | ||
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<a class="wiki_link" href="/135_128">135 / 128</a> = |-7 3 1&gt;: <a class="wiki_link" href="/major%20chroma">major chroma</a>, <a class="wiki_link" href="/major%20limma">major limma</a>, <a class="wiki_link" href="/pelogic%20comma">pelogic comma</a> (92.179 <a class="wiki_link" href="/cent">cent</a>s)<br /> | <a class="wiki_link" href="/135_128">135 / 128</a> = |-7 3 1&gt;: <a class="wiki_link" href="/major%20chroma">major chroma</a>, <a class="wiki_link" href="/major%20limma">major limma</a>, <a class="wiki_link" href="/pelogic%20comma">pelogic comma</a> (92.179 <a class="wiki_link" href="/cent">cent</a>s)<br /> | ||
5000000 / 4782969 = |6 -14 7&gt;: sevond (76.826 cents)<br /> | 5000000 / 4782969 = |6 -14 7&gt;: sevond (76.826 cents)<br /> | ||
25 /24 = |-3 -1 2&gt;: chromatic semitone (70.672 cents)<br /> | <a class="wiki_link" href="/25_24">25 / 24</a> = |-3 -1 2&gt;: chromatic semitone (70.672 cents)<br /> | ||
20480 / 19683 = |12 -9 1&gt;: grave minor second (68.719 cents)<br /> | 20480 / 19683 = |12 -9 1&gt;: grave minor second (68.719 cents)<br /> | ||
648 / 625 = |3 4 -4&gt;: major diesis, diminished comma (62.565 cents)<br /> | 648 / 625 = |3 4 -4&gt;: major diesis, diminished comma (62.565 cents)<br /> | ||
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250 / 243 = |1 -5 3&gt;: maximal diesis, porcupine comma (49.166 cents)<br /> | 250 / 243 = |1 -5 3&gt;: maximal diesis, porcupine comma (49.166 cents)<br /> | ||
1638400 / 1594323 = |16 -13 2&gt;: immunity (47.212 cents)<br /> | 1638400 / 1594323 = |16 -13 2&gt;: immunity (47.212 cents)<br /> | ||
128 / 125 = |7 0 -3&gt;: diesis, augmented comma (41.059 cents)<br /> | <a class="wiki_link" href="/128_125">128 / 125</a> = |7 0 -3&gt;: diesis, augmented comma (41.059 cents)<br /> | ||
9765625 / 9565938 = |-1 -14 10&gt;: fifive (35.767 cents)<br /> | 9765625 / 9565938 = |-1 -14 10&gt;: fifive (35.767 cents)<br /> | ||
1594323 / 1562500 = |-2 13 -8&gt;: unicorn (34.905 cents)<br /> | 1594323 / 1562500 = |-2 13 -8&gt;: unicorn (34.905 cents)<br /> | ||
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20000 / 19683 = |5 -9 4&gt;: minimal diesis, tetracot comma (27.660 cents)<br /> | 20000 / 19683 = |5 -9 4&gt;: minimal diesis, tetracot comma (27.660 cents)<br /> | ||
131072000 / 129140163 = |20 -17 3&gt; roda (25.706 cents)<br /> | 131072000 / 129140163 = |20 -17 3&gt; roda (25.706 cents)<br /> | ||
81 / 80 = |-4 4 -1&gt;: syntonic comma, Didymos comma, meantone comma (21.506 cents)<br /> | <a class="wiki_link" href="/81_80">81 / 80</a> = |-4 4 -1&gt;: syntonic comma, Didymos comma, meantone comma (21.506 cents)<br /> | ||
2048 / 2025 = |11 -4 -2&gt;: diaschisma (19.553 cents)<br /> | 2048 / 2025 = |11 -4 -2&gt;: diaschisma (19.553 cents)<br /> | ||
67108864 / 66430125 = |26 -12 -3&gt;: misty comma (17.599 cents)<br /> | 67108864 / 66430125 = |26 -12 -3&gt;: misty comma (17.599 cents)<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-List of commas, by prime limit-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:8 -->7-limit commas</h3> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-List of commas, by prime limit-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:8 -->7-limit commas</h3> | ||
1029 / 1000 = |-3 1 -3 3&gt;: keega (49.492 <a class="wiki_link" href="/cent">cent</a>s)<br /> | 1029 / 1000 = |-3 1 -3 3&gt;: keega (49.492 <a class="wiki_link" href="/cent">cent</a>s)<br /> | ||
36 / 35 = |2 2 -1 -1&gt;: septimal quarter tone (48.770 cents)<br /> | <a class="wiki_link" href="/36_35">36 / 35</a> = |2 2 -1 -1&gt;: septimal quarter tone (48.770 cents)<br /> | ||
525 / 512 = |-9 1 2 1&gt;: avicennma, Avicenna's enharmonic diesis (43.408 cents)<br /> | 525 / 512 = |-9 1 2 1&gt;: avicennma, Avicenna's enharmonic diesis (43.408 cents)<br /> | ||
49 / 48 = |-4 -1 0 2&gt;: slendro diesis (35.597 cents)<br /> | <a class="wiki_link" href="/49_48">49 / 48</a> = |-4 -1 0 2&gt;: slendro diesis (35.597 cents)<br /> | ||
50 / 49 = |1 0 2 -2&gt;: tritonic diesis, jubilisma (34.976 cents)<br /> | <a class="wiki_link" href="/50_49">50 / 49</a> = |1 0 2 -2&gt;: tritonic diesis, jubilisma (34.976 cents)<br /> | ||
686 / 675 = |1 -3 -2 3&gt;: senga (27.985 cents)<br /> | 686 / 675 = |1 -3 -2 3&gt;: senga (27.985 cents)<br /> | ||
64 / 63 = |6 -2 0 -1&gt;: septimal comma, Archytas' comma (<a class="wiki_link_ext" href="http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma" rel="nofollow">&quot;Leipziger Komma&quot;</a>) (27.264 cents)<br /> | <a class="wiki_link" href="/64_63">64 / 63</a> = |6 -2 0 -1&gt;: septimal comma, Archytas' comma (<a class="wiki_link_ext" href="http://de.wikipedia.org/wiki/Komma_%28Musik%29#Leipziger_Komma" rel="nofollow">&quot;Leipziger Komma&quot;</a>) (27.264 cents)<br /> | ||
854296875 / 843308032 = |-10 7 8 -7&gt;: blackjackisma (22.413 cents)<br /> | 854296875 / 843308032 = |-10 7 8 -7&gt;: blackjackisma (22.413 cents)<br /> | ||
64827 / 64000 = |-9 3 -3 4&gt;: squalentine (22.227 cents)<br /> | 64827 / 64000 = |-9 3 -3 4&gt;: squalentine (22.227 cents)<br /> | ||
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50421 / 50000 = |-4 1 -5 5&gt;: trimyna (14.516 cents)<br /> | 50421 / 50000 = |-4 1 -5 5&gt;: trimyna (14.516 cents)<br /> | ||
245 / 243 = |0 -5 1 2&gt;: sensamagic (14.191 cents)<br /> | 245 / 243 = |0 -5 1 2&gt;: sensamagic (14.191 cents)<br /> | ||
126 / 125 = |1 2 -3 1&gt;: septimal semicomma, starling comma (13.795 cents)<br /> | <a class="wiki_link" href="/126_125">126 / 125</a> = |1 2 -3 1&gt;: septimal semicomma, starling comma (13.795 cents)<br /> | ||
4000 / 3969 = |5 -4 3 -2&gt;: octagar (13.469 cents)<br /> | 4000 / 3969 = |5 -4 3 -2&gt;: octagar (13.469 cents)<br /> | ||
1728 /1715 = |6 3 -1 -3&gt;: orwellisma, orwell comma (13.074 cents)<br /> | 1728 /1715 = |6 3 -1 -3&gt;: orwellisma, orwell comma (13.074 cents)<br /> | ||
1029 / 1024 = |-10 1 0 3&gt;: gamelisma (8.433 cents)<br /> | 1029 / 1024 = |-10 1 0 3&gt;: gamelisma (8.433 cents)<br /> | ||
321489 / 320000 = |-9 8 -4 2&gt;: varunisma (8.037 cents)<br /> | 321489 / 320000 = |-9 8 -4 2&gt;: varunisma (8.037 cents)<br /> | ||
225 / 224 = |-5 2 2 -1&gt;: septimal kleisma, marvel comma (7.712 cents)<br /> | <a class="wiki_link" href="/225_224">225 / 224</a> = |-5 2 2 -1&gt;: septimal kleisma, marvel comma (7.712 cents)<br /> | ||
19683 / 19600 = |-4 9 -2 -2&gt;: cataharry (7.316 cents)<br /> | 19683 / 19600 = |-4 9 -2 -2&gt;: cataharry (7.316 cents)<br /> | ||
16875 / 16807 = |0 3 4 -5&gt;: mirkwai (6.990 cents)<br /> | 16875 / 16807 = |0 3 4 -5&gt;: mirkwai (6.990 cents)<br /> | ||
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703125 / 702464 = |-11 2 7 -3&gt;: meter (1.628 cents)<br /> | 703125 / 702464 = |-11 2 7 -3&gt;: meter (1.628 cents)<br /> | ||
420175 / 419904 = |-6 -8 2 5&gt;: wizma (1.117 cents)<br /> | 420175 / 419904 = |-6 -8 2 5&gt;: wizma (1.117 cents)<br /> | ||
2401 / 2400 = |-5 -1 -2 4&gt;: breedsma (0.721 cents)<br /> | <a class="wiki_link" href="/2401_2400">2401 / 2400</a> = |-5 -1 -2 4&gt;: breedsma (0.721 cents)<br /> | ||
4375 / 4374 = |-1 -7 4 1&gt;: ragisma (0.396 cents)<br /> | 4375 / 4374 = |-1 -7 4 1&gt;: ragisma (0.396 cents)<br /> | ||
140737488355328 / 140710042265625 = |47, -7, -7, -7&gt;: akjaysma, 5\7 octave comma, (0.338 cents)<br /> | 140737488355328 / 140710042265625 = |47, -7, -7, -7&gt;: akjaysma, 5\7 octave comma, (0.338 cents)<br /> |