Small comma: Difference between revisions

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==Definition== 

A **comma** is a small interval that occurs in Just intonation, between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, generally in a [[Harmonic Limit|low prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is //[[tempering out|tempered out]]//, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by [[Meantone|meantone temperament]]. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms.

==List of commas, by prime limit== 
===3-limit commas=== 
[[256_243|256 / 243]] = |8 -5>: limma or Pythagorean minor second (90.225 [[cent]]s)
[[2187_2048|2187 / 2048]] = |-11 7>: apotome (113.685 cents)
531441_524288|531441 / 524288 = |-19 12>: [[Pythagorean comma]] (23.460 cents)
134217728 / 129140163 = |27 -17>: [[17-comma]] (66.765 cents)
70368744177664 / 68630377364883 = |46 -29>: [[29-comma]] (43.305 cents)
36893488147419103232 / 36472996377170786403 = |65 -41>: [[41-comma]] (19.845 cents)
19383245667680019896796723 / 19342813113834066795298816 = |-84 53>: [[Mercator's comma]], 53-comma (3.615 cents)
|485 -306>: [[Sasktel comma]] (1.770 cents)
|-1054 665>: [[Satanic comma]] (0.076 cents)

===5-limit commas=== 
[[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)
[[25_24|25 / 24]] = |-3 -1 2>: chromatic semitone (70.672 cents)
20480 / 19683 = |12 -9 1>: grave minor second (68.719 cents)
[[648_625|648 / 625]] = |3 4 -4>: major diesis, diminished comma (62.565 cents)
1953125 / 1889568 |-5 -10 9>: shibboleth (57.273 cents)
16875 / 16384 = |-14 3 4>: [[negri comma]], double augmentation diesis (51.120 cents)
[[250_243|250 / 243]] = |1 -5 3>: maximal diesis, porcupine comma (49.166 cents)
1638400 / 1594323 = |16 -13 2>: immunity (47.212 cents)
[[128_125|128 / 125]] = |7 0 -3>: diesis, augmented comma (41.059 cents)
9765625 / 9565938 = |-1 -14 10>: fifive (35.767 cents)
1594323 / 1562500 = |-2 13 -8>: unicorn (34.905 cents)
1990656 / 1953125 = |13 5 -9>: valensixthtone (32.952 cents)
34171875 / 33554432 = |-25 7 6>: [[ampersand]], Ampersand's comma (31.567 cents)
3125 / 3072 = |-10 -1 5> small diesis, [[magic comma]] (29.614 cents)
20000 / 19683 = |5 -9 4>: minimal diesis, [[tetracot comma]] (27.660 cents)
131072000 / 129140163 = |20 -17 3> roda (25.706 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)
67108864 / 66430125 = |26 -12 -3>: [[misty comma]] (17.599 cents)
129140163 / 128000000 = |-13 17 -6>: [[graviton]], the [[Gravity family|gravity]] comma (15.353 cents)
78732 / 78125 = |2 9 -7>: medium semicomma, [[sensipent comma]] (13.399 cents)
393216 / 390625 = |17 1 -8>: [[Wuerschmidt comma]] (11.445 cents)
2109375 / 2097152 = |-21 3 7>: [[semicomma]], Fokker comma (10.061 cents)
|32 -7 -9>: [[escapade comma]] (9.492 cents)
15625 / 15552 = |-6 -5 6>: [[kleisma]], semicomma majeur (8.107 cents)
|-44 -3 21>: [[mutt comma]] (6.723 cents)
1600000 / 1594323 = |9 -13 5>: [[amity comma]] (6.154 cents)
|8 14 -13>: [[parakleisma]] (5.292 cents)
|-29 -11 20>: gammic comma (4.769 cents)
|24 -21 4>: [[vulture  comma|vulture comma]] (4.200 cents)
6115295232 / 6103515625 = |23 6 -14>: [[vishnuzma]], semisuper (3.338 cents)
|-14 -19 19>: [[enneadeca]], 19-tone-comma (2.816 cents)
|-68 18 17>: vavoom (2.523 cents)
|39 -29 3>: tricot comma (2.246 cents)
[[32805_32768|32805 / 32768]] = |-15 8 1>: schisma (1.954 cents)
|-69 45 -1>: counterschisma (1.661 cents)
|-52 -17 34>: septendecima (1.431 cents)
274877906944 / 274658203125 = |38 -2 -15>: hemithirds comma (1.384 cents)
|-16 35 -17>: minortone comma (1.092 cents)
7629394531250 / 7625597484987 = |1 -27 18>: [[ennealimma]] (0.862 cents)
|91 -12 -31>: astro (0.815 cents)
|-53 10 16>: kwazy (0.569 cents)
|37 25 -33>: whoosh (0.522 cents)
|-36 -52 51>: egads (0.339 cents)
|54 -37 2>: monzisma (0.292 cents)
|-107 47 14>: fortune (0.277 cents)
|144 -22 -47>: gross (0.245 cents)
|-17 62 -35>: senior (0.230 cents)
|71 -99 37>: raider (0.062 cents)
|-90 -15 49>: pirate (0.047 cents)
|161 -84 -12>: atom (0.015 cents)

===7-limit commas=== 
1029 / 1000 = |-3 1 -3 3>: keega (49.492 [[cent]]s)
[[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)
[[49_48|49 / 48]] = |-4 -1 0 2>: slendro diesis (35.597 cents)
[[50_49|50 / 49]] = |1 0 2 -2>: tritonic diesis, jubilisma (34.976 cents)
839808 / 823543 = |7 8 0 -7>: eric (33.859 cents)
686 / 675 = |1 -3 -2 3>: senga (27.985 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)
64827 / 64000 = |-9 3 -3 4>: squalentine (22.227 cents)
875 / 864 = |-5 -3 3 1>: keema (21.902 cents)
3125 / 3087 = |0 -2 5 -3>: gariboh (21.181 cents)
2430 / 2401 = |1 5 1 -4>: nuwell (20.785 cents)
33075 / 32768 = |-15 3 2 2>: mirwomo (16.144 cents)
50421 / 50000 = |-4 1 -5 5>: trimyna (14.516 cents)
245 / 243 = |0 -5 1 2>: sensamagic (14.191 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)
1728 /1715 = |6 3 -1 -3>: orwellisma, orwell comma (13.074 cents)
1029 / 1024 = |-10 1 0 3>: gamelisma (8.433 cents)
321489 / 320000 = |-9 8 -4 2>: varunisma (8.037 cents)
[[225_224|225 / 224]] = |-5 2 2 -1>: septimal kleisma, marvel comma (7.712 cents)
390625 / 388962 = |-1 -4 8 -4>: dimcomp (7.386 cents)
19683 / 19600 = |-4 9 -2 -2>: cataharry (7.316 cents)
16875 / 16807 = |0 3 4 -5>: mirkwai (6.990 cents)
10976 / 10935 = |5 -7 -1 3>: hemimage (6.479 cents)
3136 / 3125 = |6 0 -5 2>: hemimean (6.083 cents)
5120 / 5103 = |10 -6 1 -1>: hemifamity (5.758 cents)
578509309952 / 576650390625 = |11 -10 -10 10>: linus (5.572 cents)
6144 / 6125 = |11 1 -3 -2>: porwell (5.362 cents)
33554432 / 33480743 = |25 -14 0 -1>: garischisma (3.804 cents)
201768035 / 201326592 = |-26 -1 1 9>: wadisma (3.792 cents)
65625 / 65536 = |-16 1 5 1>: horwell (2.349 cents)
703125 / 702464 = |-11 2 7 -3>: meter (1.628 cents)
420175 / 419904 = |-6 -8 2 5>: wizma (1.117 cents)
[[2401_2400|2401 / 2400]] = |-5 -1 -2 4>: breedsma (0.721 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)
250047 / 250000 = |-4 6 -6 3>: landscape comma (0.325 cents)

===11-limit commas=== 
163840 / 161051 = |15 0 1 0 -5>: thuja comma (29.724 cents)
245 /242 = |-1 0 1 2 -2>: cassacot (21.330 cents)
99 / 98 = |-1 2 0 -2 1>: [[mothwellsmic triad|mothwellsma]] (17.576 cents)
[[100_99|100 / 99]] = |2 -2 2 0 -1>: [[ptolemismic triad|ptolemisma]] (17.399 cents)
1344 / 1331 = |6 1 0 1 -3>: hemimin (16.827 cents)
121 / 120 = |-3 -1 -1 0 2>: biyatisma (14.367 cents)
176 / 175 = |4 0 -2 -1 1>: [[valinorsmic chords|valinorsma]] (9.865 cents)
896 / 891 = |7 -4 0 1 -1>: [[pentacircle chords|pentacircle]] (9.688 cents)
65536 / 65219 = |16 0 0 -2 -3>: orgonisma (8.394 cents)
243 / 242 = |-1 5 0 0 -2>: [[rastmic chords|rastma]] (7.139 cents)
3388 / 3375 = |2 -3 -3 1 2>: myhemiwell (6.656 cents)
[[385_384|385 / 384]] = |-7 -1 1 1 1>: [[keenanismic chords|keenanisma]] (4.503 cents)
441 / 440 = |-3 2 -1 2 -1>: [[werckismic chords|werckisma]] (3.930 cents)
1375 / 1372 = |-2 0 3 -3 1>: moctdel (3.781 cents)
540 / 539 = |2 3 1 -2 -1>: [[swetismic chords|swetisma]] (3.209 cents)
4000 / 3993 = |5 -1 3 0 -3>: wizardharry (3.032 cents)
5632 / 5625 = |9 -2 -4 0 1>: vishdel (2.153 cents)
234375 / 234256 = |-4 1 7 0 -4>: sesdecal (0.879 cents)
43923 / 43904 = |-7 1 0 -3 4>: hemigail (0.749 cents)
3025 / 3024 = |-4 -3 2 -1 2>: lehmerisma (0.572 cents)
9801 / 9800 = |-3 4 -2 -2 2>: kalisma, Gauss' comma (0.177 cents)
151263 / 151250 = |-1 2 -4 5 -2>: odiheim (0.149 cents)
1771561 / 1771470 = |-1 -11 -1 0 6>: parimo (0.089 cents)
3294225 / 3294172 = |-2 2 2 -7 4>: ultimo (0.028 cents)

===13-limit commas=== 
78 / 77 = |1 1 0 -1 -1 1>: negustma (22.229 cents)
91 / 90 = |-1 -2 -1 1 0 1>: superleap (19.130 cents)
105 / 104 = |-3 1 1 1 0 1>: animist (16.567 cents)
275 / 273 = |0 -1 2 -1 1 -1>: gassorma (12.637 cents)
144 / 143 = |4 2 0 0 -1 -1>: grossma (12.064 cents)
169 / 168 = |-3 -1 0 -1 0 2>: dhanvantarisma (10.274 cents)
196 / 195 = |2 -1 -1 2 0 -1>: [[mynucumic chords|mynucuma]] (8.855 cents)
640 / 637 = |7 0 1 -2 0 -1>: [[huntmic chords|huntma]] (8.134)
1188 / 1183 = |2 3 0 -1 1 -2>: [[kestrel chords|kestrel comma]] (7.302 cents)
325 / 324 = |-2 -4 2 0 0 1>: [[Marveltwin|marveltwin]] (5.335 cents)
351 / 350 = |-1 3 -2 -1 0 1>: [[ratwolf triad|ratwolfsma]] (4.939 cents)
352 / 351 = |5 -3 0 0 1 -1>: [[minthmic chords|minthma]] (4.925 cents)
364 /363 = |2 -1 0 1 -2 1>: [[gentle chords|gentle comma]] (4.763 cents)
847 / 845 = |0 0 -1 1 2 -2>: [[cuthbert triad|cuthbert]] (4.093 cents)
625 / 624 = |-4 -1 4 0 0 -1>: tunbarsma (2.772 cents)
676 / 675 = |2 -3 -2 0 0 2>: [[The Archipelago|island comma]] (2.563 cents)
1575 / 1573 = |0 2 2 1 -2 -1>: [[nicolic tetrad|nicola]] (2.200 cents)
2200 /2197 = |3 0 2 0 1 -3>: [[petrmic triad|petrma]] (2.362 cents)
123201 / 123200 = |-6 6 -2 -1 -1 2>: chalmersia (0.014 cents)

===17-limit commas=== 

===19-limit commas=== 
210 / 209 = |1 1 1 1 -1 0 0 -1>: spleen comma

Original HTML content:

<html><head><title>Comma</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Definition"></a><!-- ws:end:WikiTextHeadingRule:0 -->Definition</h2>
 <br />
A <strong>comma</strong> is a small interval that occurs in Just intonation, between two intervals which are close in pitch. Commas are always greater than 1 and not a power such as a square or cube of any other interval, generally in a <a class="wiki_link" href="/Harmonic%20Limit">low prime limit</a>. The word is often used in reference to <a class="wiki_link" href="/Regular%20Temperaments">regular tempering</a> when the comma is <em><a class="wiki_link" href="/tempering%20out">tempered out</a></em>, which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between 10/9 and 9/8, as well as 81/64 and 5/4, is tempered out by <a class="wiki_link" href="/Meantone">meantone temperament</a>. Commas are usually written as ratios, but they can also be written as monzos. The following lists mostly give both forms.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->List of commas, by prime limit</h2>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-List of commas, by prime limit-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:4 -->3-limit commas</h3>
 <a class="wiki_link" href="/256_243">256 / 243</a> = |8 -5&gt;: limma or Pythagorean minor second (90.225 <a class="wiki_link" href="/cent">cent</a>s)<br />
<a class="wiki_link" href="/2187_2048">2187 / 2048</a> = |-11 7&gt;: apotome (113.685 cents)<br />
531441_524288|531441 / 524288 = |-19 12&gt;: <a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a> (23.460 cents)<br />
134217728 / 129140163 = |27 -17&gt;: <a class="wiki_link" href="/17-comma">17-comma</a> (66.765 cents)<br />
70368744177664 / 68630377364883 = |46 -29&gt;: <a class="wiki_link" href="/29-comma">29-comma</a> (43.305 cents)<br />
36893488147419103232 / 36472996377170786403 = |65 -41&gt;: <a class="wiki_link" href="/41-comma">41-comma</a> (19.845 cents)<br />
19383245667680019896796723 / 19342813113834066795298816 = |-84 53&gt;: <a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma (3.615 cents)<br />
|485 -306&gt;: <a class="wiki_link" href="/Sasktel%20comma">Sasktel comma</a> (1.770 cents)<br />
|-1054 665&gt;: <a class="wiki_link" href="/Satanic%20comma">Satanic comma</a> (0.076 cents)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-List of commas, by prime limit-5-limit commas"></a><!-- ws:end:WikiTextHeadingRule:6 -->5-limit commas</h3>
 <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 />
<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 />
<a class="wiki_link" href="/648_625">648 / 625</a> = |3 4 -4&gt;: major diesis, diminished comma (62.565 cents)<br />
1953125 / 1889568 |-5 -10 9&gt;: shibboleth (57.273 cents)<br />
16875 / 16384 = |-14 3 4&gt;: <a class="wiki_link" href="/negri%20comma">negri comma</a>, double augmentation diesis (51.120 cents)<br />
<a class="wiki_link" href="/250_243">250 / 243</a> = |1 -5 3&gt;: maximal diesis, porcupine comma (49.166 cents)<br />
1638400 / 1594323 = |16 -13 2&gt;: immunity (47.212 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 />
1594323 / 1562500 = |-2 13 -8&gt;: unicorn (34.905 cents)<br />
1990656 / 1953125 = |13 5 -9&gt;: valensixthtone (32.952 cents)<br />
34171875 / 33554432 = |-25 7 6&gt;: <a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma (31.567 cents)<br />
3125 / 3072 = |-10 -1 5&gt; small diesis, <a class="wiki_link" href="/magic%20comma">magic comma</a> (29.614 cents)<br />
20000 / 19683 = |5 -9 4&gt;: minimal diesis, <a class="wiki_link" href="/tetracot%20comma">tetracot comma</a> (27.660 cents)<br />
131072000 / 129140163 = |20 -17 3&gt; roda (25.706 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;: <a class="wiki_link" href="/diaschisma">diaschisma</a> (19.553 cents)<br />
67108864 / 66430125 = |26 -12 -3&gt;: <a class="wiki_link" href="/misty%20comma">misty comma</a> (17.599 cents)<br />
129140163 / 128000000 = |-13 17 -6&gt;: <a class="wiki_link" href="/graviton">graviton</a>, the <a class="wiki_link" href="/Gravity%20family">gravity</a> comma (15.353 cents)<br />
78732 / 78125 = |2 9 -7&gt;: medium semicomma, <a class="wiki_link" href="/sensipent%20comma">sensipent comma</a> (13.399 cents)<br />
393216 / 390625 = |17 1 -8&gt;: <a class="wiki_link" href="/Wuerschmidt%20comma">Wuerschmidt comma</a> (11.445 cents)<br />
2109375 / 2097152 = |-21 3 7&gt;: <a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma (10.061 cents)<br />
|32 -7 -9&gt;: <a class="wiki_link" href="/escapade%20comma">escapade comma</a> (9.492 cents)<br />
15625 / 15552 = |-6 -5 6&gt;: <a class="wiki_link" href="/kleisma">kleisma</a>, semicomma majeur (8.107 cents)<br />
|-44 -3 21&gt;: <a class="wiki_link" href="/mutt%20comma">mutt comma</a> (6.723 cents)<br />
1600000 / 1594323 = |9 -13 5&gt;: <a class="wiki_link" href="/amity%20comma">amity comma</a> (6.154 cents)<br />
|8 14 -13&gt;: <a class="wiki_link" href="/parakleisma">parakleisma</a> (5.292 cents)<br />
|-29 -11 20&gt;: gammic comma (4.769 cents)<br />
|24 -21 4&gt;: <a class="wiki_link" href="/vulture%20%20comma">vulture comma</a> (4.200 cents)<br />
6115295232 / 6103515625 = |23 6 -14&gt;: <a class="wiki_link" href="/vishnuzma">vishnuzma</a>, semisuper (3.338 cents)<br />
|-14 -19 19&gt;: <a class="wiki_link" href="/enneadeca">enneadeca</a>, 19-tone-comma (2.816 cents)<br />
|-68 18 17&gt;: vavoom (2.523 cents)<br />
|39 -29 3&gt;: tricot comma (2.246 cents)<br />
<a class="wiki_link" href="/32805_32768">32805 / 32768</a> = |-15 8 1&gt;: schisma (1.954 cents)<br />
|-69 45 -1&gt;: counterschisma (1.661 cents)<br />
|-52 -17 34&gt;: septendecima (1.431 cents)<br />
274877906944 / 274658203125 = |38 -2 -15&gt;: hemithirds comma (1.384 cents)<br />
|-16 35 -17&gt;: minortone comma (1.092 cents)<br />
7629394531250 / 7625597484987 = |1 -27 18&gt;: <a class="wiki_link" href="/ennealimma">ennealimma</a> (0.862 cents)<br />
|91 -12 -31&gt;: astro (0.815 cents)<br />
|-53 10 16&gt;: kwazy (0.569 cents)<br />
|37 25 -33&gt;: whoosh (0.522 cents)<br />
|-36 -52 51&gt;: egads (0.339 cents)<br />
|54 -37 2&gt;: monzisma (0.292 cents)<br />
|-107 47 14&gt;: fortune (0.277 cents)<br />
|144 -22 -47&gt;: gross (0.245 cents)<br />
|-17 62 -35&gt;: senior (0.230 cents)<br />
|71 -99 37&gt;: raider (0.062 cents)<br />
|-90 -15 49&gt;: pirate (0.047 cents)<br />
|161 -84 -12&gt;: atom (0.015 cents)<br />
<br />
<!-- 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 />
<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 />
<a class="wiki_link" href="/49_48">49 / 48</a> = |-4 -1 0 2&gt;: slendro diesis (35.597 cents)<br />
<a class="wiki_link" href="/50_49">50 / 49</a> = |1 0 2 -2&gt;: tritonic diesis, jubilisma (34.976 cents)<br />
839808 / 823543 = |7 8 0 -7&gt;: eric (33.859 cents)<br />
686 / 675 = |1 -3 -2 3&gt;: senga (27.985 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 />
64827 / 64000 = |-9 3 -3 4&gt;: squalentine (22.227 cents)<br />
875 / 864 = |-5 -3 3 1&gt;: keema (21.902 cents)<br />
3125 / 3087 = |0 -2 5 -3&gt;: gariboh (21.181 cents)<br />
2430 / 2401 = |1 5 1 -4&gt;: nuwell (20.785 cents)<br />
33075 / 32768 = |-15 3 2 2&gt;: mirwomo (16.144 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 />
<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 />
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 />
321489 / 320000 = |-9 8 -4 2&gt;: varunisma (8.037 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 />
390625 / 388962 = |-1 -4 8 -4&gt;: dimcomp (7.386 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 />
10976 / 10935 = |5 -7 -1 3&gt;: hemimage (6.479 cents)<br />
3136 / 3125 = |6 0 -5 2&gt;: hemimean (6.083 cents)<br />
5120 / 5103 = |10 -6 1 -1&gt;: hemifamity (5.758 cents)<br />
578509309952 / 576650390625 = |11 -10 -10 10&gt;: linus (5.572 cents)<br />
6144 / 6125 = |11 1 -3 -2&gt;: porwell (5.362 cents)<br />
33554432 / 33480743 = |25 -14 0 -1&gt;: garischisma (3.804 cents)<br />
201768035 / 201326592 = |-26 -1 1 9&gt;: wadisma (3.792 cents)<br />
65625 / 65536 = |-16 1 5 1&gt;: horwell (2.349 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 />
<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 />
140737488355328 / 140710042265625 = |47, -7, -7, -7&gt;: akjaysma, 5\7 octave comma, (0.338 cents)<br />
250047 / 250000 = |-4 6 -6 3&gt;: landscape comma (0.325 cents)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-List of commas, by prime limit-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:10 -->11-limit commas</h3>
 163840 / 161051 = |15 0 1 0 -5&gt;: thuja comma (29.724 cents)<br />
245 /242 = |-1 0 1 2 -2&gt;: cassacot (21.330 cents)<br />
99 / 98 = |-1 2 0 -2 1&gt;: <a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a> (17.576 cents)<br />
<a class="wiki_link" href="/100_99">100 / 99</a> = |2 -2 2 0 -1&gt;: <a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a> (17.399 cents)<br />
1344 / 1331 = |6 1 0 1 -3&gt;: hemimin (16.827 cents)<br />
121 / 120 = |-3 -1 -1 0 2&gt;: biyatisma (14.367 cents)<br />
176 / 175 = |4 0 -2 -1 1&gt;: <a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a> (9.865 cents)<br />
896 / 891 = |7 -4 0 1 -1&gt;: <a class="wiki_link" href="/pentacircle%20chords">pentacircle</a> (9.688 cents)<br />
65536 / 65219 = |16 0 0 -2 -3&gt;: orgonisma (8.394 cents)<br />
243 / 242 = |-1 5 0 0 -2&gt;: <a class="wiki_link" href="/rastmic%20chords">rastma</a> (7.139 cents)<br />
3388 / 3375 = |2 -3 -3 1 2&gt;: myhemiwell (6.656 cents)<br />
<a class="wiki_link" href="/385_384">385 / 384</a> = |-7 -1 1 1 1&gt;: <a class="wiki_link" href="/keenanismic%20chords">keenanisma</a> (4.503 cents)<br />
441 / 440 = |-3 2 -1 2 -1&gt;: <a class="wiki_link" href="/werckismic%20chords">werckisma</a> (3.930 cents)<br />
1375 / 1372 = |-2 0 3 -3 1&gt;: moctdel (3.781 cents)<br />
540 / 539 = |2 3 1 -2 -1&gt;: <a class="wiki_link" href="/swetismic%20chords">swetisma</a> (3.209 cents)<br />
4000 / 3993 = |5 -1 3 0 -3&gt;: wizardharry (3.032 cents)<br />
5632 / 5625 = |9 -2 -4 0 1&gt;: vishdel (2.153 cents)<br />
234375 / 234256 = |-4 1 7 0 -4&gt;: sesdecal (0.879 cents)<br />
43923 / 43904 = |-7 1 0 -3 4&gt;: hemigail (0.749 cents)<br />
3025 / 3024 = |-4 -3 2 -1 2&gt;: lehmerisma (0.572 cents)<br />
9801 / 9800 = |-3 4 -2 -2 2&gt;: kalisma, Gauss' comma (0.177 cents)<br />
151263 / 151250 = |-1 2 -4 5 -2&gt;: odiheim (0.149 cents)<br />
1771561 / 1771470 = |-1 -11 -1 0 6&gt;: parimo (0.089 cents)<br />
3294225 / 3294172 = |-2 2 2 -7 4&gt;: ultimo (0.028 cents)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x-List of commas, by prime limit-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit commas</h3>
 78 / 77 = |1 1 0 -1 -1 1&gt;: negustma (22.229 cents)<br />
91 / 90 = |-1 -2 -1 1 0 1&gt;: superleap (19.130 cents)<br />
105 / 104 = |-3 1 1 1 0 1&gt;: animist (16.567 cents)<br />
275 / 273 = |0 -1 2 -1 1 -1&gt;: gassorma (12.637 cents)<br />
144 / 143 = |4 2 0 0 -1 -1&gt;: grossma (12.064 cents)<br />
169 / 168 = |-3 -1 0 -1 0 2&gt;: dhanvantarisma (10.274 cents)<br />
196 / 195 = |2 -1 -1 2 0 -1&gt;: <a class="wiki_link" href="/mynucumic%20chords">mynucuma</a> (8.855 cents)<br />
640 / 637 = |7 0 1 -2 0 -1&gt;: <a class="wiki_link" href="/huntmic%20chords">huntma</a> (8.134)<br />
1188 / 1183 = |2 3 0 -1 1 -2&gt;: <a class="wiki_link" href="/kestrel%20chords">kestrel comma</a> (7.302 cents)<br />
325 / 324 = |-2 -4 2 0 0 1&gt;: <a class="wiki_link" href="/Marveltwin">marveltwin</a> (5.335 cents)<br />
351 / 350 = |-1 3 -2 -1 0 1&gt;: <a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a> (4.939 cents)<br />
352 / 351 = |5 -3 0 0 1 -1&gt;: <a class="wiki_link" href="/minthmic%20chords">minthma</a> (4.925 cents)<br />
364 /363 = |2 -1 0 1 -2 1&gt;: <a class="wiki_link" href="/gentle%20chords">gentle comma</a> (4.763 cents)<br />
847 / 845 = |0 0 -1 1 2 -2&gt;: <a class="wiki_link" href="/cuthbert%20triad">cuthbert</a> (4.093 cents)<br />
625 / 624 = |-4 -1 4 0 0 -1&gt;: tunbarsma (2.772 cents)<br />
676 / 675 = |2 -3 -2 0 0 2&gt;: <a class="wiki_link" href="/The%20Archipelago">island comma</a> (2.563 cents)<br />
1575 / 1573 = |0 2 2 1 -2 -1&gt;: <a class="wiki_link" href="/nicolic%20tetrad">nicola</a> (2.200 cents)<br />
2200 /2197 = |3 0 2 0 1 -3&gt;: <a class="wiki_link" href="/petrmic%20triad">petrma</a> (2.362 cents)<br />
123201 / 123200 = |-6 6 -2 -1 -1 2&gt;: chalmersia (0.014 cents)<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x-List of commas, by prime limit-17-limit commas"></a><!-- ws:end:WikiTextHeadingRule:14 -->17-limit commas</h3>
 <br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="x-List of commas, by prime limit-19-limit commas"></a><!-- ws:end:WikiTextHeadingRule:16 -->19-limit commas</h3>
 210 / 209 = |1 1 1 1 -1 0 0 -1&gt;: spleen comma</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-12-21 03:00:55 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-27 17:37:43 UTC</tt>.<br>
-: The original revision id was <tt>287851656</tt>.<br>
+: The original revision id was <tt>288600018</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>
@@ Line 119: / Line 119: @@
 ===11-limit commas===
 / 161051 = |15 0 1 0 -5&gt;: thuja comma (29.724 cents)
+/242 = |-1 0 1 2 -2&gt;: cassacot (21.330 cents)
 / 98 = |-1 2 0 -2 1&gt;: [[mothwellsmic triad|mothwellsma]] (17.576 cents)
 [[100_99|100 / 99]] = |2 -2 2 0 -1&gt;: [[ptolemismic triad|ptolemisma]] (17.399 cents)
@@ Line 281: / Line 282: @@
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-List of commas, by prime limit-11-limit commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;11-limit commas&lt;/h3&gt;
 / 161051 = |15 0 1 0 -5&amp;gt;: thuja comma (29.724 cents)&lt;br /&gt;
+/242 = |-1 0 1 2 -2&amp;gt;: cassacot (21.330 cents)&lt;br /&gt;
 / 98 = |-1 2 0 -2 1&amp;gt;: &lt;a class="wiki_link" href="/mothwellsmic%20triad"&gt;mothwellsma&lt;/a&gt; (17.576 cents)&lt;br /&gt;
 &lt;a class="wiki_link" href="/100_99"&gt;100 / 99&lt;/a&gt; = |2 -2 2 0 -1&amp;gt;: &lt;a class="wiki_link" href="/ptolemismic%20triad"&gt;ptolemisma&lt;/a&gt; (17.399 cents)&lt;br /&gt;

Small comma: Difference between revisions

Revision as of 17:37, 27 December 2011

IMPORTED REVISION FROM WIKISPACES

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Original HTML content:

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