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Wikispaces>JosephRuhf **Imported revision 597239000 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 597239390 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-26 16: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-26 16:26:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597239390</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 18: | Line 18: | ||
|| limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 > || 90.225 || | || limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 > || 90.225 || | ||
|| [[Pythagorean comma]] || [[tel:531441 / 524288|531441 / 524288]] || | -19 12 > || 23.460 || | || [[Pythagorean comma]] || [[tel:531441 / 524288|531441 / 524288]] || | -19 12 > || 23.460 || | ||
|| [[17-comma]] || | || [[17-comma]] || || | 27 -17 > || 66.765 || | ||
|| [[29-comma]] || || | 46 -29 > || 43.305 || | || [[29-comma]] || || | 46 -29 > || 43.305 || | ||
|| [[41-comma]] || || | 65 -41 > || 19.845 || | || [[41-comma]] || || | 65 -41 > || 19.845 || | ||
Line 43: | Line 43: | ||
|| ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 || | || ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 || | ||
|| doublewide || [[tel:390625 / 373248|390625 / 373248]] || | -9 -6 8 > || 78.780 || | || doublewide || [[tel:390625 / 373248|390625 / 373248]] || | -9 -6 8 > || 78.780 || | ||
|| sevond || | || sevond || || | 6 -14 7 > || 76.826 || | ||
|| nusecond || | || nusecond || || | 5 13 -11 > || 75.964 || | ||
|| sentinel || | || sentinel || || | -33 15 4 > || 74.580 || | ||
|| chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 > || 70.672 || | || chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 > || 70.672 || | ||
|| chromatic semitones comma || || | -51 -17 34 > || 4.715 || | || chromatic semitones comma || || | -51 -17 34 > || 4.715 || | ||
Line 51: | Line 51: | ||
|| major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 || | || major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 || | ||
|| passion || [[tel:262144 / 253125|262144 / 253125]] || | 18 -4 -5 > || 60.611 || | || passion || [[tel:262144 / 253125|262144 / 253125]] || | 18 -4 -5 > || 60.611 || | ||
|| shibboleth || | || shibboleth || || | -5 -10 9 > || 57.273 || | ||
|| mynic || | || mynic || || | 9 9 -10 > || 54.458 || | ||
|| tritonic || | || tritonic || || | -29 11 5 > || 53.074 || | ||
|| [[negri comma]], double augmentation diesis || 16875 / 16384 || | -14 3 4 > || 51.120 || | || [[negri comma]], double augmentation diesis || 16875 / 16384 || | -14 3 4 > || 51.120 || | ||
|| maximal diesis, porcupine comma || [[250_243|250 / 243]] || | 1 -5 3 > || 49.166 || | || maximal diesis, porcupine comma || [[250_243|250 / 243]] || | 1 -5 3 > || 49.166 || | ||
|| immunity || | || immunity || || | 16 -13 2 > || 47.212 || | ||
|| diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 > || 41.059 || | || diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 > || 41.059 || | ||
|| wizard || | || wizard || || | -31 2 12 > || 39.675 || | ||
|| sycamore || | || sycamore || || | -16 -6 11 > || 37.721 || | ||
|| fifive || | || fifive || || | -1 -14 10 > || 35.767 || | ||
|| unicorn || | || unicorn || || | -2 13 -8 > || 34.905 || | ||
|| valensixthtone || | || valensixthtone || || | 13 5 -9 > || 32.952 || | ||
|| [[ampersand]], Ampersand's comma || | || [[ampersand]], Ampersand's comma || || | -25 7 6 > || 31.567 || | ||
|| small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 > || 29.614 || | || small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 > || 29.614 || | ||
|| minimal diesis, [[tetracot comma]] || 20000 / 19683 || | 5 -9 4 > || 27.660 || | || minimal diesis, [[tetracot comma]] || 20000 / 19683 || | 5 -9 4 > || 27.660 || | ||
|| roda || | || roda || || | 20 -17 3 > || 25.706 || | ||
|| maja || || | -3 -23 17 > || 22.368 || | || maja || || | -3 -23 17 > || 22.368 || | ||
|| syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 > || 21.506 || | || syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 > || 21.506 || | ||
|| [[Maquila family|maquila comma]] || || | 49 -6 -17 > || 20.937 || | || [[Maquila family|maquila comma]] || || | 49 -6 -17 > || 20.937 || | ||
|| [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 > || 19.553 || | || [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 > || 19.553 || | ||
|| ditonma || | || ditonma || || | -27 -2 13 > || 18.168 || | ||
|| [[misty comma]] || | || [[misty comma]] || || | 26 -12 -3 > || 17.599 || | ||
|| [[Pental family|pental comma]] || || | -28 25 -5 > || 17.306 || | || [[Pental family|pental comma]] || || | -28 25 -5 > || 17.306 || | ||
|| [[graviton]], [[Gravity family|gravity]] comma || | || [[graviton]], [[Gravity family|gravity]] comma || || | -13 17 -6 > || 15.353 || | ||
|| quartonic || | || quartonic || || | 3 -18 11 > || 14.261 || | ||
|| medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 || | || medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 || | ||
|| [[Würschmidt comma]] || [[tel:393216 / 390625|393216 / 390625]] || | 17 1 -8 > || 11.445 || | || [[Würschmidt comma]] || [[tel:393216 / 390625|393216 / 390625]] || | 17 1 -8 > || 11.445 || | ||
|| [[semicomma]], Fokker comma || | || [[semicomma]], Fokker comma || || | -21 3 7 > || 10.061 || | ||
|| [[escapade comma]] || || | 32 -7 -9 > || 9.492 || | || [[escapade comma]] || || | 32 -7 -9 > || 9.492 || | ||
|| [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 || | || [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 || | ||
|| unidecma || | || unidecma || || | -7 22 -12 > || 7.245 || | ||
|| [[mutt comma]] || || | -44 -3 21 > || 6.723 || | || [[mutt comma]] || || | -44 -3 21 > || 6.723 || | ||
|| [[amity comma]] || [[tel:1600000 / 1594323| | || [[amity comma]] || [[tel:1600000 / 1594323|p]] || | 9 -13 5 > || 6.154 || | ||
|| [[parakleisma]] || || | 8 14 -13 > || 5.292 || | || [[parakleisma]] || || | 8 14 -13 > || 5.292 || | ||
|| gammic comma || || | -29 -11 20 > || 4.769 || | || gammic comma || || | -29 -11 20 > || 4.769 || | ||
Line 327: | Line 327: | ||
<td><a class="wiki_link" href="/17-comma">17-comma</a><br /> | <td><a class="wiki_link" href="/17-comma">17-comma</a><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 27 -17 &gt;<br /> | <td>| 27 -17 &gt;<br /> | ||
Line 573: | Line 573: | ||
<td>sevond<br /> | <td>sevond<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 6 -14 7 &gt;<br /> | <td>| 6 -14 7 &gt;<br /> | ||
Line 583: | Line 583: | ||
<td>nusecond<br /> | <td>nusecond<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 5 13 -11 &gt;<br /> | <td>| 5 13 -11 &gt;<br /> | ||
Line 593: | Line 593: | ||
<td>sentinel<br /> | <td>sentinel<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| -33 15 4 &gt;<br /> | <td>| -33 15 4 &gt;<br /> | ||
Line 653: | Line 653: | ||
<td>shibboleth<br /> | <td>shibboleth<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -5 -10 9 &gt;<br /> | <td>| -5 -10 9 &gt;<br /> | ||
Line 663: | Line 663: | ||
<td>mynic<br /> | <td>mynic<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 9 9 -10 &gt;<br /> | <td>| 9 9 -10 &gt;<br /> | ||
Line 673: | Line 673: | ||
<td>tritonic<br /> | <td>tritonic<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -29 11 5 &gt;<br /> | <td>| -29 11 5 &gt;<br /> | ||
Line 703: | Line 703: | ||
<td>immunity<br /> | <td>immunity<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 16 -13 2 &gt;<br /> | <td>| 16 -13 2 &gt;<br /> | ||
Line 723: | Line 723: | ||
<td>wizard<br /> | <td>wizard<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| -31 2 12 &gt;<br /> | <td>| -31 2 12 &gt;<br /> | ||
Line 733: | Line 733: | ||
<td>sycamore<br /> | <td>sycamore<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -16 -6 11 &gt;<br /> | <td>| -16 -6 11 &gt;<br /> | ||
Line 743: | Line 743: | ||
<td>fifive<br /> | <td>fifive<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -1 -14 10 &gt;<br /> | <td>| -1 -14 10 &gt;<br /> | ||
Line 753: | Line 753: | ||
<td>unicorn<br /> | <td>unicorn<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -2 13 -8 &gt;<br /> | <td>| -2 13 -8 &gt;<br /> | ||
Line 763: | Line 763: | ||
<td>valensixthtone<br /> | <td>valensixthtone<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 13 5 -9 &gt;<br /> | <td>| 13 5 -9 &gt;<br /> | ||
Line 773: | Line 773: | ||
<td><a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma<br /> | <td><a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -25 7 6 &gt;<br /> | <td>| -25 7 6 &gt;<br /> | ||
Line 803: | Line 803: | ||
<td>roda<br /> | <td>roda<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 20 -17 3 &gt;<br /> | <td>| 20 -17 3 &gt;<br /> | ||
Line 853: | Line 853: | ||
<td>ditonma<br /> | <td>ditonma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| -27 -2 13 &gt;<br /> | <td>| -27 -2 13 &gt;<br /> | ||
Line 863: | Line 863: | ||
<td><a class="wiki_link" href="/misty%20comma">misty comma</a><br /> | <td><a class="wiki_link" href="/misty%20comma">misty comma</a><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 26 -12 -3 &gt;<br /> | <td>| 26 -12 -3 &gt;<br /> | ||
Line 883: | Line 883: | ||
<td><a class="wiki_link" href="/graviton">graviton</a>, <a class="wiki_link" href="/Gravity%20family">gravity</a> comma<br /> | <td><a class="wiki_link" href="/graviton">graviton</a>, <a class="wiki_link" href="/Gravity%20family">gravity</a> comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -13 17 -6 &gt;<br /> | <td>| -13 17 -6 &gt;<br /> | ||
Line 893: | Line 893: | ||
<td>quartonic<br /> | <td>quartonic<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 3 -18 11 &gt;<br /> | <td>| 3 -18 11 &gt;<br /> | ||
Line 923: | Line 923: | ||
<td><a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma<br /> | <td><a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -21 3 7 &gt;<br /> | <td>| -21 3 7 &gt;<br /> | ||
Line 953: | Line 953: | ||
<td>unidecma<br /> | <td>unidecma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| -7 22 -12 &gt;<br /> | <td>| -7 22 -12 &gt;<br /> | ||
Line 973: | Line 973: | ||
<td><a class="wiki_link" href="/amity%20comma">amity comma</a><br /> | <td><a class="wiki_link" href="/amity%20comma">amity comma</a><br /> | ||
</td> | </td> | ||
<td>[[tel:1600000 / 1594323| | <td>[[tel:1600000 / 1594323|p]]<br /> | ||
</td> | </td> | ||
<td>| 9 -13 5 &gt;<br /> | <td>| 9 -13 5 &gt;<br /> |
Revision as of 16:26, 26 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 JosephRuhf and made on 2016-10-26 16:26:11 UTC.
- The original revision id was 597239390.
- 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:
<span style="display: block; text-align: right;">[[xenharmonie/Komma|Deutsch]] </span> =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, and 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, as well as the size in [[cent]]s. For commas over 100 cents in size, see [[Large commas]]; and for commas under 3.5 cents in size, see [[Unnoticeable commas]] =List of commas, by prime limit= ==3-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || limma, Pythagorean minor second || [[256_243|256 / 243]] || | 8 -5 > || 90.225 || || [[Pythagorean comma]] || [[tel:531441 / 524288|531441 / 524288]] || | -19 12 > || 23.460 || || [[17-comma]] || || | 27 -17 > || 66.765 || || [[29-comma]] || || | 46 -29 > || 43.305 || || [[41-comma]] || || | 65 -41 > || 19.845 || || Pythagorean Integer cents comma || || | 317 -200 > || 9.000 || || [[Mercator's comma]], 53-comma || || | -84 53 > || 3.615 || || 70-comma || || | 111 -70 > || 63.150 || ==5-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || Twenty-two thirds limma || || | -51 0 22 > || 98.902 || || sibbolet || || | -58 0 25 > || 57.843 || || Hunt 5-cycle comma || || | -65 0 28 > || 16.784 || || acute thirds comma || || | 72 0 -31 > || 24.275 || || 34-5-comma || || | 79 0 -34 > || 65.334 || || Schismic thirds chromatic semitone || || | -123 0 53 > || 74.627 || || 10-15-comma || || | -39 10 10 > || 82.687 || || 11-15-comma || || | 43 -11 -11 > || 29.044 || || 21-15-comma || || | 82 -21 -21 > || 53.643 || || 32-15-comma || || | 125 -32 -32 > || 24.599 || || Huntian 15-cycle comma || || | -168 43 43 > || 4.445 || || 53-15-comma || || | -207 53 53 > || 78.242 || || 54-15-comma || || | 211 -54 -54 > || 33.489 || || 76-15-comma || || | 297 -76 -76 > || 91.578 || || major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 > || 92.179 || || ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 || || doublewide || [[tel:390625 / 373248|390625 / 373248]] || | -9 -6 8 > || 78.780 || || sevond || || | 6 -14 7 > || 76.826 || || nusecond || || | 5 13 -11 > || 75.964 || || sentinel || || | -33 15 4 > || 74.580 || || chromatic semitone || [[25_24|25 / 24]] || | -3 -1 2 > || 70.672 || || chromatic semitones comma || || | -51 -17 34 > || 4.715 || || superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 > || 68.719 || || major diesis, diminished comma || [[648_625|648 / 625]] || | 3 4 -4 > || 62.565 || || passion || [[tel:262144 / 253125|262144 / 253125]] || | 18 -4 -5 > || 60.611 || || shibboleth || || | -5 -10 9 > || 57.273 || || mynic || || | 9 9 -10 > || 54.458 || || tritonic || || | -29 11 5 > || 53.074 || || [[negri comma]], double augmentation diesis || 16875 / 16384 || | -14 3 4 > || 51.120 || || maximal diesis, porcupine comma || [[250_243|250 / 243]] || | 1 -5 3 > || 49.166 || || immunity || || | 16 -13 2 > || 47.212 || || diesis, augmented comma || [[128_125|128 / 125]] || | 7 0 -3 > || 41.059 || || wizard || || | -31 2 12 > || 39.675 || || sycamore || || | -16 -6 11 > || 37.721 || || fifive || || | -1 -14 10 > || 35.767 || || unicorn || || | -2 13 -8 > || 34.905 || || valensixthtone || || | 13 5 -9 > || 32.952 || || [[ampersand]], Ampersand's comma || || | -25 7 6 > || 31.567 || || small diesis, [[magic comma]] || 3125 / 3072 || | -10 -1 5 > || 29.614 || || minimal diesis, [[tetracot comma]] || 20000 / 19683 || | 5 -9 4 > || 27.660 || || roda || || | 20 -17 3 > || 25.706 || || maja || || | -3 -23 17 > || 22.368 || || syntonic comma, Didymos comma, meantone comma || [[81_80|81 / 80]] || | -4 4 -1 > || 21.506 || || [[Maquila family|maquila comma]] || || | 49 -6 -17 > || 20.937 || || [[diaschisma]] || 2048 / 2025 || | 11 -4 -2 > || 19.553 || || ditonma || || | -27 -2 13 > || 18.168 || || [[misty comma]] || || | 26 -12 -3 > || 17.599 || || [[Pental family|pental comma]] || || | -28 25 -5 > || 17.306 || || [[graviton]], [[Gravity family|gravity]] comma || || | -13 17 -6 > || 15.353 || || quartonic || || | 3 -18 11 > || 14.261 || || medium semicomma, [[sensipent comma]] || 78732 / 78125 || | 2 9 -7 > || 13.399 || || [[Würschmidt comma]] || [[tel:393216 / 390625|393216 / 390625]] || | 17 1 -8 > || 11.445 || || [[semicomma]], Fokker comma || || | -21 3 7 > || 10.061 || || [[escapade comma]] || || | 32 -7 -9 > || 9.492 || || [[kleisma]], semicomma majeur || 15625 / 15552 || | -6 -5 6 > || 8.107 || || unidecma || || | -7 22 -12 > || 7.245 || || [[mutt comma]] || || | -44 -3 21 > || 6.723 || || [[amity comma]] || [[tel:1600000 / 1594323|p]] || | 9 -13 5 > || 6.154 || || [[parakleisma]] || || | 8 14 -13 > || 5.292 || || gammic comma || || | -29 -11 20 > || 4.769 || || [[vulture comma]] || || | 24 -21 4 > || 4.200 || || 23-3/5-comma || || | 17 23 -23 > || 59.750 || || 34-3/5-comma || || | -25 -34 34 > || 68.196 || || 53-3/5-comma || || | 39 53 -53 > || 71.012 || ==7-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || hexadecatone comma, 16-7-comma || || | 45 0 0 -16 > || 98.7855 || || 21-7-comma || || | 59 0 0 -21 > || 54.656 || || Hunt 7-cycle comma || || | 73 0 0 -26 > || 10.526 || || German sixth comma || || | -87 0 0 31 > || 33.603 || || large deep red comma || 6561 / 6272 || | -7, 8, 0 -2 > || 77.988 || || 36-7-comma || || | -101 0 0 36 > || 77.737 || || 47-7-comma || || | [[tel:132 0 0 0 -47|132 0 0 0 -47]] > || 65.182 || || slendro integer cents comma || || | [[tel:1127 0 0 -400|1127 0 0 -400]] > || 69.637 || || 29-7/5-comma || || | -14 0 -29 29 > || 92.854 || || 31-7/5-comma || || | -15 0 -31 31 > || 57.878 || || 33-7/5-comma || || | -16 0 -33 33 > || 22.902 || || 35-7/5-comma || || | [[tel:18 0 35 -35|18 0 35 -35]] > || 12.073 || || 37-7/5-comma || || | [[tel:19 0 37 -37|19 0 37 -37]] > || 47.049 || || 39-7/5-comma || || | [[tel:20 0 39 -39|20 0 39 -39]] > || 82.0245 || || 5-21-comma || || | 22 -5 0 -5 > || 46.0955 || || 18-21-comma || || | -79 18 0 18 > || 74.056 || || 23-21-comma || || | -101 23 0 23 > || 27.961 || || Huntian 21-cycle comma || || | [[tel:123 -28 0 -28|123 -28 0 -28]] > || 18.135 || || 33-21-comma || || | [[tel:145 -33 0 -33|145 -33 0 -33]] > || 64.230 || || 38-21-comma || || | [[tel:167 -38 0 -38|167 -38 0 -38]] > || [[tel:110.3255|110.3255]] || || 43-21-comma || || | [[tel:189 -43 0 -43|189 -43 0 -43]] > || 156.421 || || 7-35-comma || || | 36 0 -7 -7 > || 114.023 || || 8-35-comma || || | -41 0 8 8 > || 41.117 || || 15-35-comma || || | [[tel:77 0 -15 -15|77 0 -15 -15]] > || 72.906 || || 23-35-comma || || | [[tel:118 0 -23 -23|118 0 -23 -23]] > || 31.789 || || 31-35-comma || || | -159 0 31 31 > || 9.328 || || 39-35-comma || || | -200 0 39 39 > || 50.445 || || 47-35-comma || || | -241 0 47 47 > || 91.562 || || Huntian 35-cycle comma || || | [[tel:277 0 -54 -54|277 0 -54 -54]] > || 22.4605 || || greenwoodma || 405 / 392 || | -3 4 1 -2 > || 56.482 || || Harrison's comma || [[59049_57344|59049 / 57344]] || | -13 10 0 -1 > || 50.724 || || keega || 1029 / 1000 || | -3 1 -3 3 > || 49.492 || || septimal quarter tone || [[36_35|36 / 35]] || | 2 2 -1 -1 > || 48.770 || || quarter tone comma || || | [[tel:49 50 -25 -25|49 50 -25 -25]] > || 19.2595 || || cloudy || 16807 / 16384 || | -14 0 0 5 > || 44.130 || || Avicenna, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 || || slendro diesis || [[49_48|49 / 48]] || | -4 -1 0 2 > || 35.597 || || slendro 34-comma || || | -137 -34 0 68 > || 13.692 || || 34-jubilismic comma || || | -33 0 -68 68 > || 10.829 || || tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 || || eric || [[tel:839808 / 823543|839808 / 823543]] || | 7 8 0 -7 > || 33.859 || || senga || 686 / 675 || | 1 -3 -2 3 > || 27.985 || || septimal comma, Archytas' comma, Leipziger Komma || [[64_63|64 / 63]] || | 6 -2 0 -1 > || 27.264 || || 44-septimal comma || || | -263 88 0 44 > || 0.294 || || blackjackisma || || | -10 7 8 -7 > || 22.413 || || squalentine || 64827 / 64000 || | -9 3 -3 4 > || 22.227 || || keema || 875 / 864 || | -5 -3 3 1 > || 21.902 || || gariboh || 3125 / 3087 || | 0 -2 5 -3 > || 21.181 || || nuwell || 2430 / 2401 || | 1 5 1 -4 > || 20.785 || || tolerma || [[tel:179200 / 177147|179200 / 177147]] || | 10 -11 2 1 > || 19.948 || || mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 || || trimyna || 50421 / 50000 || | -4 1 -5 5 > || 14.516 || || sensamagic || 245 / 243 || | 0 -5 1 2 > || 14.191 || || septimal semicomma, starling comma || [[126_125|126 / 125]] || | 1 2 -3 1 > || 13.795 || || octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 || || orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 || || quince || [[tel:823543 / 819200|823543 / 819200]] || | -15 0 -2 7 > || 9.154 || || gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 || || varunisma || [[tel:321489 / 320000|321489 / 320000]] || | -9 8 -4 2 > || 8.037 || || septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 > || 7.712 || || dimcomp || [[tel:390625 / 388962|390625 / 388962]] || | -1 -4 8 -4 > || 7.386 || || cataharry || 19683 / 19600 || | -4 9 -2 -2 > || 7.316 || || mirkwai || 16875 / 16807 || | 0 3 4 -5 > || 6.990 || || stearnsma || [[tel:118098 / 117649|118098 / 117649]] || | 1 10 0 -6 > || 6.595 || || hemimage || 10976 / 10935 || | 5 -7 -1 3 > || 6.479 || || hemimean || 3136 / 3125 || | 6 0 -5 2 > || 6.083 || || hemifamity || 5120 / 5103 || | 10 -6 1 -1 > || 5.758 || || linus || || | [[tel:11 -10 -10 10|11 -10 -10 10]] > || 5.572 || || porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 || || garischisma || || | 25 -14 0 -1 > || 3.804 || || wadisma || || | -26 -1 1 9 > || 3.792 || || quasiorwellisma || || | 22 -1 -10 1 > || 3.734 || || horwell || 65625 / 65536 || | -16 1 5 1 > || 2.349 || || meter || [[tel:703125 / 702464|703125 / 702464]] || | -11 2 7 -3 > || 1.628 || || wizma || [[tel:420175 / 419904|420175 / 419904]] || | -6 -8 2 5 > || 1.117 || || breedsma || [[2401_2400|2401 / 2400]] || | -5 -1 -2 4 > || 0.721 || || ragisma || 4375 / 4374 || | -1 -7 4 1 > || 0.396 || || akjaysma, 5\7 octave comma || || | 47 -7 -7 -7 > || 0.338 || || landscape || [[tel:250047 / 250000|250047 / 250000]] || | -4 6 -6 3 > || 0.325 || || starscape || || | -4 17 1 -9 > || 0.116 || || euzenius || || | 3 -13 10 -2 > || 0.070 || || termite || || | 9 -28 37 -18 > || 1.072 * 10^-3 || || neutrino || || | [[tel:1889 -2145 138 424|1889 -2145 138 424]] > || 1.636 * 10^-10 || || [[218edo]] (stacked 7/4 and 10/9) comma || || | [[tel:22 -32 16 -3|22 -32 16 -3]] > || 11.982 || ==11-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || 11-cycle chroma, 11-11-comma || || | -38 0 0 0 11 > || 64.497 || || 11-cycle major seventh prote, 35-11-comma || || | -121 0 0 0 35 > || 96.128 || || 11-cycle schisma, 37-11-comma || || | [[tel:128 0 0 0 -37|128 0 0 0 -37]] > || 1.236 || || Hunt 11-cycle comma || || | -83 0 0 0 24 > || 31.631 || || Hunt flat 5 comma || 8192 / 8019 || | 13 -6 0 0 -1 > || 36.952 || || sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 || || the Igs boson<span style="line-height: 1.5;">, 13-11-comma</span> || || | [[tel/45 0 0 0 -13|45 0 0 0 -13]] > || 32.867 || || telepathma || 55 / 54 || | -1 -3 1 0 1 > || 31.767 || || thuja comma || [[tel:163840 / 161051|163840 / 161051]] || | 15 0 1 0 -5 > || 29.724 || || sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 || || sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 || || cassacot || 245 / 242 || | -1 0 1 2 -2 > || 21.330 || || [[mothwellsmic triad|mothwellsma]] || 99 / 98 || | -1 2 0 -2 1 > || 17.576 || || [[ptolemismic triad|ptolemisma]] || [[100_99|100 / 99]] || | 2 -2 2 0 -1 > || 17.399 || || hemimin || 1344 / 1331 || | 6 1 0 1 -3 > || 16.827 || || biyatisma || 121 / 120 || | -3 -1 -1 0 2 > || 14.367 || || aphrowe || 1331 / 1323 || | 0 -3 0 -2 3 > || 10.437 || || [[valinorsmic chords|valinorsma]] || 176 / 175 || | 4 0 -2 -1 1 > || 9.865 || || [[pentacircle comma|pentacircle]] || 896 / 891 || | 7 -4 0 1 -1 > || 9.688 || || orgonisma || 65536 / 65219 || | 16 0 0 -2 -3 > || 8.394 || || [[rastmic chords|rastma]] || 243 / 242 || | -1 5 0 0 -2 > || 7.139 || || myhemiwell || 3388 / 3375 || | 2 -3 -3 1 2 > || 6.656 || || [[keenanismic chords|keenanisma]] || [[385_384|385 / 384]] || | -7 -1 1 1 1 > || 4.503 || || [[werckismic chords|werckisma]] || 441 / 440 || | -3 2 -1 2 -1 > || 3.930 || || moctdel || 1375 / 1372 || | -2 0 3 -3 1 > || 3.781 || || [[swetismic chords|swetisma]] || 540 / 539 || | 2 3 1 -2 -1 > || 3.209 || || wizardharry || 4000 / 3993 || | 5 -1 3 0 -3 > || 3.032 || || vishdel || 5632 / 5625 || | 9 -2 -4 0 1 > || 2.153 || || sesdecal || [[tel:234375 / 234256|234375 / 234256]] || | -4 1 7 0 -4 > || 0.879 || || hemigail || 43923 / 43904 || | -7 1 0 -3 4 > || 0.749 || || lehmerisma || 3025 / 3024 || | -4 -3 2 -1 2 > || 0.572 || || kalisma, Gauss' comma || 9801 / 9800 || | -3 4 -2 -2 2 > || 0.177 || || odiheim || [[tel:151263 / 151250|151263 / 151250]] || | -1 2 -4 5 -2 > || 0.149 || || parimo || || | -1 -11 -1 0 6 > || 0.089 || || ultimo || || | -2 2 2 -7 4 > || 0.028 || ==13-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || Hunt 13-cycle comma || || | -37 0 0 0 0 0 10 > || 5.277 || || <span style="font-size: 12.8000001907349px;">silver half cents comma</span> || || <span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 ></span> || <span style="font-size: 12.8000001907349px;">66.389</span> || || Hunt minor submediant comma || 1053 / 1024 || | -10 4 0 0 0 0 1 > || 48.348 || || astburyp || || | -19 -2 0 0 0 6 > || 39.255 || || wilsorma || 65 / 64 || | -6 0 1 0 0 1 > || 26.841 || || winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 > || 26.432 || || negustma || 78 / 77 || | 1 1 0 -1 -1 1 > || 22.229 || || superleap || 91 / 90 || | -1 -2 -1 1 0 1 > || 19.130 || || animist || 105 / 104 || | -3 1 1 1 0 -1 > || 16.567 || || secorian || 28672 / 28431 || | [[tel/12 -7 0 1 0 -1|12 -7 0 1 0 -1]] > || 14.613 || || mosaic || 3159 / 3136 || |-6 5 0 -2 0 1> || 12.651 || || gassorma || 275 / 273 || | 0 -1 2 -1 1 -1 > || 12.637 || || [[grossma]] || 144 / 143 || | 4 2 0 0 -1 -1 > || 12.064 || || buzurgisma, dhanvantarisma || 169 / 168 || | -3 -1 0 -1 0 2 > || 10.274 || || catadictma || 1287 / 1280 || | -8 2 -1 0 1 1 > || 9.442 || || [[mynucumic chords|mynucuma]] || 196 / 195 || | 2 -1 -1 2 0 -1 > || 8.855 || || [[huntmic chords|huntma]] || 640 / 637 || | 7 0 1 -2 0 -1 > || 8.134 || || [[threedie]] || 2197 / 2187 || | 0 -7 0 0 0 3 > || 7.897 || || [[kestrel chords|kestrel comma]] || 1188 / 1183 || | 2 3 0 -1 1 -2 > || 7.302 || || [[marveltwin]] || 325 / 324 || | -2 -4 2 0 0 1 > || 5.335 || || [[ratwolf triad|ratwolfsma]] || 351 / 350 || | -1 3 -2 -1 0 1 > || 4.939 || || [[minthmic chords|minthma]] || 352 / 351 || | 5 -3 0 0 1 -1 > || 4.925 || || [[gentle chords|gentle comma]] || 364 / 363 || | 2 -1 0 1 -2 1 > || 4.763 || || [[cuthbert triad|cuthbert]] || 847 / 845 || | 0 0 -1 1 2 -2 > || 4.093 || || tunbarsma || 625 / 624 || | -4 -1 4 0 0 -1 > || 2.772 || || [[The Archipelago|island comma]] || 676 / 675 || | 2 -3 -2 0 0 2 > || 2.563 || || [[squbemic chords|squbema]] || 729 / 728 || | -3 6 0 -1 0 -1 > || 2.376 || || [[petrmic triad|petrma]] || 2200 / 2197 || | 3 0 2 0 1 -3 > || 2.362 || || [[nicolic tetrad|nicola]] || 1575 / 1573 || | 0 2 2 1 -2 -1 > || 2.200 || || [[sinbadmic tetrad|sinbadma]] || 1001 / 1000 || | -3 0 -3 1 1 1 > || 1.730 || || cantonisma || 10985 / 10976 || | -5 0 1 -3 0 3 > || 1.419 || || lummic || 1716 / 1715 || | 2 1 -1 -3 1 1 > || 1.009 || || ibnsinma || 2080 / 2079 || | 5 -3 1 -1 -1 1 > || 0.833 || || schismina || 4096 / 4095 || | [[tel/12 -2 -1 -1 0 -1|12 -2 -1 -1 0 -1]] > || 0.423 || || leprechaun comma || 4225 / 4224 || | -7 -1 2 0 -1 2 > || 0.410 || || jacobin || 6656 / 6655 || | 9 0 -1 0 -3 1 > || 0.260 || || harmonisma || 10648 / 10647 || | 3 -2 0 -1 3 -2 > || 0.163 || || chalmersima || || | -6 6 -2 -1 -1 2 > || 0.014 || ==17-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || 11 semitone comma || || | [[tel/45 0 0 0 0 0 -11|45 0 0 0 0 0 -11]] > || 45.4905 || || 12 semitone comma || || | -49 0 0 0 0 0 12 > || 59.465 || || 23 semitone comma || || | -93 0 0 0 0 0 23 > || 13.974 || || Hunt 17-cycle comma || || | -138 0 0 0 0 0 34 > || 31.516 || || 17-ripple integer cents comma || || | [[tel/327 0 0 0 0 0 -80|327 0 0 0 0 0 -80]] > || 3.568 || || Hunt flat 2 comma || 4131 / 4096 || | -12 5 0 0 0 0 1 > || 14.730 || || Blume comma || 2057 / 2048 || | -11 0 0 0 2 0 1 > || 7.591 || || xenisma || 2058 / 2057 || | 1 1 0 3 -2 0 -1 > || 0.841 || || || 12376 / 12375 || | 3 -2 -3 1 -1 1 1 > || 0.140 || || || 14400 / 14399 || | 6 2 2 -1 -2 0 -1 > || 0.120 || || scintillisma || [[tel:194481 / 194480|194481 / 194480]] || | -4 4 -1 4 -1 -1 -1 > || 0.009 || || Septendecimal Integer Cents comma || 289 / 288 || | -5 -2 0 0 0 0 2 > || 6.001 || ==19-limit commas== ||~ name(s) ||~ ratio ||~ monzo ||~ cents || || Hunt 19-cycle comma || [[tel:131072 / 130321|131072 / 130321]] || | [[tel/17 0 0 0 0 0 0 -4|17 0 0 0 0 0 0 -4]] > || 9.950 || || Hunt 19-minor mediant comma || 513 / 512 || | -9 3 0 0 0 0 0 1 > || 3.378 || || spleen comma || 210 / 209 || | 1 1 1 1 -1 0 0 -1 > || 8.264 || || go comma || 361 / 360 || | -3 -2 -1 0 0 0 0 2 > || 4.802 || || Blumeyer comma || 2432 / 2431 || | 7 0 0 0 -1 -1 -1 1 > || 0.712 || || || [[tel:165376 / 165375|165376 / 165375]] || | 9 -3 -3 -2 0 0 1 1> || 0.010 || [[media type="custom" key="25699772"]]
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<html><head><title>Comma</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/Komma">Deutsch</a><br /> </span><br /> <!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Definition"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definition</h1> A <strong>comma</strong> is a small interval that occurs in <a class="wiki_link" href="/just%20intonation">just intonation</a>, 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, and 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, as well as the size in <a class="wiki_link" href="/cent">cent</a>s.<br /> <br /> For commas over 100 cents in size, see <a class="wiki_link" href="/Large%20commas">Large commas</a>; and for commas under 3.5 cents in size, see <a class="wiki_link" href="/Unnoticeable%20commas">Unnoticeable commas</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:3 -->List of commas, by prime limit</h1> <!-- ws:start:WikiTextHeadingRule:5:<h2> --><h2 id="toc2"><a name="List of commas, by prime limit-3-limit commas"></a><!-- ws:end:WikiTextHeadingRule:5 -->3-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>limma, Pythagorean minor second<br /> </td> <td><a class="wiki_link" href="/256_243">256 / 243</a><br /> </td> <td>| 8 -5 ><br /> </td> <td>90.225<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br /> </td> <td>[[tel:531441 / 524288|531441 / 524288]]<br /> </td> <td>| -19 12 ><br /> </td> <td>23.460<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/17-comma">17-comma</a><br /> </td> <td><br /> </td> <td>| 27 -17 ><br /> </td> <td>66.765<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/29-comma">29-comma</a><br /> </td> <td><br /> </td> <td>| 46 -29 ><br /> </td> <td>43.305<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/41-comma">41-comma</a><br /> </td> <td><br /> </td> <td>| 65 -41 ><br /> </td> <td>19.845<br /> </td> </tr> <tr> <td>Pythagorean Integer cents comma<br /> </td> <td><br /> </td> <td>| 317 -200 ><br /> </td> <td>9.000<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br /> </td> <td><br /> </td> <td>| -84 53 ><br /> </td> <td>3.615<br /> </td> </tr> <tr> <td>70-comma<br /> </td> <td><br /> </td> <td>| 111 -70 ><br /> </td> <td>63.150<br /> </td> </tr> </table> <!-- ws:start:WikiTextHeadingRule:7:<h2> --><h2 id="toc3"><a name="List of commas, by prime limit-5-limit commas"></a><!-- ws:end:WikiTextHeadingRule:7 -->5-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>Twenty-two thirds limma<br /> </td> <td><br /> </td> <td>| -51 0 22 ><br /> </td> <td>98.902<br /> </td> </tr> <tr> <td>sibbolet<br /> </td> <td><br /> </td> <td>| -58 0 25 ><br /> </td> <td>57.843<br /> </td> </tr> <tr> <td>Hunt 5-cycle comma<br /> </td> <td><br /> </td> <td>| -65 0 28 ><br /> </td> <td>16.784<br /> </td> </tr> <tr> <td>acute thirds comma<br /> </td> <td><br /> </td> <td>| 72 0 -31 ><br /> </td> <td>24.275<br /> </td> </tr> <tr> <td>34-5-comma<br /> </td> <td><br /> </td> <td>| 79 0 -34 ><br /> </td> <td>65.334<br /> </td> </tr> <tr> <td>Schismic thirds chromatic semitone<br /> </td> <td><br /> </td> <td>| -123 0 53 ><br /> </td> <td>74.627<br /> </td> </tr> <tr> <td>10-15-comma<br /> </td> <td><br /> </td> <td>| -39 10 10 ><br /> </td> <td>82.687<br /> </td> </tr> <tr> <td>11-15-comma<br /> </td> <td><br /> </td> <td>| 43 -11 -11 ><br /> </td> <td>29.044<br /> </td> </tr> <tr> <td>21-15-comma<br /> </td> <td><br /> </td> <td>| 82 -21 -21 ><br /> </td> <td>53.643<br /> </td> </tr> <tr> <td>32-15-comma<br /> </td> <td><br /> </td> <td>| 125 -32 -32 ><br /> </td> <td>24.599<br /> </td> </tr> <tr> <td>Huntian 15-cycle comma<br /> </td> <td><br /> </td> <td>| -168 43 43 ><br /> </td> <td>4.445<br /> </td> </tr> <tr> <td>53-15-comma<br /> </td> <td><br /> </td> <td>| -207 53 53 ><br /> </td> <td>78.242<br /> </td> </tr> <tr> <td>54-15-comma<br /> </td> <td><br /> </td> <td>| 211 -54 -54 ><br /> </td> <td>33.489<br /> </td> </tr> <tr> <td>76-15-comma<br /> </td> <td><br /> </td> <td>| 297 -76 -76 ><br /> </td> <td>91.578<br /> </td> </tr> <tr> <td>major chroma, major limma, pelogic comma<br /> </td> <td><a class="wiki_link" href="/135_128">135 / 128</a><br /> </td> <td>| -7 3 1 ><br /> </td> <td>92.179<br /> </td> </tr> <tr> <td>ripple<br /> </td> <td>6561 / 6250<br /> </td> <td>| -1 8 -5 ><br /> </td> <td>84.071<br /> </td> </tr> <tr> <td>doublewide<br /> </td> <td>[[tel:390625 / 373248|390625 / 373248]]<br /> </td> <td>| -9 -6 8 ><br /> </td> <td>78.780<br /> </td> </tr> <tr> <td>sevond<br /> </td> <td><br /> </td> <td>| 6 -14 7 ><br /> </td> <td>76.826<br /> </td> </tr> <tr> <td>nusecond<br /> </td> <td><br /> </td> <td>| 5 13 -11 ><br /> </td> <td>75.964<br /> </td> </tr> <tr> <td>sentinel<br /> </td> <td><br /> </td> <td>| -33 15 4 ><br /> </td> <td>74.580<br /> </td> </tr> <tr> <td>chromatic semitone<br /> </td> <td><a class="wiki_link" href="/25_24">25 / 24</a><br /> </td> <td>| -3 -1 2 ><br /> </td> <td>70.672<br /> </td> </tr> <tr> <td>chromatic semitones comma<br /> </td> <td><br /> </td> <td>| -51 -17 34 ><br /> </td> <td>4.715<br /> </td> </tr> <tr> <td>superpyth, grave minor second<br /> </td> <td>20480 / 19683<br /> </td> <td>| 12 -9 1 ><br /> </td> <td>68.719<br /> </td> </tr> <tr> <td>major diesis, diminished comma<br /> </td> <td><a class="wiki_link" href="/648_625">648 / 625</a><br /> </td> <td>| 3 4 -4 ><br /> </td> <td>62.565<br /> </td> </tr> <tr> <td>passion<br /> </td> <td>[[tel:262144 / 253125|262144 / 253125]]<br /> </td> <td>| 18 -4 -5 ><br /> </td> <td>60.611<br /> </td> </tr> <tr> <td>shibboleth<br /> </td> <td><br /> </td> <td>| -5 -10 9 ><br /> </td> <td>57.273<br /> </td> </tr> <tr> <td>mynic<br /> </td> <td><br /> </td> <td>| 9 9 -10 ><br /> </td> <td>54.458<br /> </td> </tr> <tr> <td>tritonic<br /> </td> <td><br /> </td> <td>| -29 11 5 ><br /> </td> <td>53.074<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/negri%20comma">negri comma</a>, double augmentation diesis<br /> </td> <td>16875 / 16384<br /> </td> <td>| -14 3 4 ><br /> </td> <td>51.120<br /> </td> </tr> <tr> <td>maximal diesis, porcupine comma<br /> </td> <td><a class="wiki_link" href="/250_243">250 / 243</a><br /> </td> <td>| 1 -5 3 ><br /> </td> <td>49.166<br /> </td> </tr> <tr> <td>immunity<br /> </td> <td><br /> </td> <td>| 16 -13 2 ><br /> </td> <td>47.212<br /> </td> </tr> <tr> <td>diesis, augmented comma<br /> </td> <td><a class="wiki_link" href="/128_125">128 / 125</a><br /> </td> <td>| 7 0 -3 ><br /> </td> <td>41.059<br /> </td> </tr> <tr> <td>wizard<br /> </td> <td><br /> </td> <td>| -31 2 12 ><br /> </td> <td>39.675<br /> </td> </tr> <tr> <td>sycamore<br /> </td> <td><br /> </td> <td>| -16 -6 11 ><br /> </td> <td>37.721<br /> </td> </tr> <tr> <td>fifive<br /> </td> <td><br /> </td> <td>| -1 -14 10 ><br /> </td> <td>35.767<br /> </td> </tr> <tr> <td>unicorn<br /> </td> <td><br /> </td> <td>| -2 13 -8 ><br /> </td> <td>34.905<br /> </td> </tr> <tr> <td>valensixthtone<br /> </td> <td><br /> </td> <td>| 13 5 -9 ><br /> </td> <td>32.952<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/ampersand">ampersand</a>, Ampersand's comma<br /> </td> <td><br /> </td> <td>| -25 7 6 ><br /> </td> <td>31.567<br /> </td> </tr> <tr> <td>small diesis, <a class="wiki_link" href="/magic%20comma">magic comma</a><br /> </td> <td>3125 / 3072<br /> </td> <td>| -10 -1 5 ><br /> </td> <td>29.614<br /> </td> </tr> <tr> <td>minimal diesis, <a class="wiki_link" href="/tetracot%20comma">tetracot comma</a><br /> </td> <td>20000 / 19683<br /> </td> <td>| 5 -9 4 ><br /> </td> <td>27.660<br /> </td> </tr> <tr> <td>roda<br /> </td> <td><br /> </td> <td>| 20 -17 3 ><br /> </td> <td>25.706<br /> </td> </tr> <tr> <td>maja<br /> </td> <td><br /> </td> <td>| -3 -23 17 ><br /> </td> <td>22.368<br /> </td> </tr> <tr> <td>syntonic comma, Didymos comma, meantone comma<br /> </td> <td><a class="wiki_link" href="/81_80">81 / 80</a><br /> </td> <td>| -4 4 -1 ><br /> </td> <td>21.506<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/Maquila%20family">maquila comma</a><br /> </td> <td><br /> </td> <td>| 49 -6 -17 ><br /> </td> <td>20.937<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/diaschisma">diaschisma</a><br /> </td> <td>2048 / 2025<br /> </td> <td>| 11 -4 -2 ><br /> </td> <td>19.553<br /> </td> </tr> <tr> <td>ditonma<br /> </td> <td><br /> </td> <td>| -27 -2 13 ><br /> </td> <td>18.168<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/misty%20comma">misty comma</a><br /> </td> <td><br /> </td> <td>| 26 -12 -3 ><br /> </td> <td>17.599<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/Pental%20family">pental comma</a><br /> </td> <td><br /> </td> <td>| -28 25 -5 ><br /> </td> <td>17.306<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/graviton">graviton</a>, <a class="wiki_link" href="/Gravity%20family">gravity</a> comma<br /> </td> <td><br /> </td> <td>| -13 17 -6 ><br /> </td> <td>15.353<br /> </td> </tr> <tr> <td>quartonic<br /> </td> <td><br /> </td> <td>| 3 -18 11 ><br /> </td> <td>14.261<br /> </td> </tr> <tr> <td>medium semicomma, <a class="wiki_link" href="/sensipent%20comma">sensipent comma</a><br /> </td> <td>78732 / 78125<br /> </td> <td>| 2 9 -7 ><br /> </td> <td>13.399<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/W%C3%BCrschmidt%20comma">Würschmidt comma</a><br /> </td> <td>[[tel:393216 / 390625|393216 / 390625]]<br /> </td> <td>| 17 1 -8 ><br /> </td> <td>11.445<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/semicomma">semicomma</a>, Fokker comma<br /> </td> <td><br /> </td> <td>| -21 3 7 ><br /> </td> <td>10.061<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/escapade%20comma">escapade comma</a><br /> </td> <td><br /> </td> <td>| 32 -7 -9 ><br /> </td> <td>9.492<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/kleisma">kleisma</a>, semicomma majeur<br /> </td> <td>15625 / 15552<br /> </td> <td>| -6 -5 6 ><br /> </td> <td>8.107<br /> </td> </tr> <tr> <td>unidecma<br /> </td> <td><br /> </td> <td>| -7 22 -12 ><br /> </td> <td>7.245<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/mutt%20comma">mutt comma</a><br /> </td> <td><br /> </td> <td>| -44 -3 21 ><br /> </td> <td>6.723<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/amity%20comma">amity comma</a><br /> </td> <td>[[tel:1600000 / 1594323|p]]<br /> </td> <td>| 9 -13 5 ><br /> </td> <td>6.154<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/parakleisma">parakleisma</a><br /> </td> <td><br /> </td> <td>| 8 14 -13 ><br /> </td> <td>5.292<br /> </td> </tr> <tr> <td>gammic comma<br /> </td> <td><br /> </td> <td>| -29 -11 20 ><br /> </td> <td>4.769<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/vulture%20comma">vulture comma</a><br /> </td> <td><br /> </td> <td>| 24 -21 4 ><br /> </td> <td>4.200<br /> </td> </tr> <tr> <td>23-3/5-comma<br /> </td> <td><br /> </td> <td>| 17 23 -23 ><br /> </td> <td>59.750<br /> </td> </tr> <tr> <td>34-3/5-comma<br /> </td> <td><br /> </td> <td>| -25 -34 34 ><br /> </td> <td>68.196<br /> </td> </tr> <tr> <td>53-3/5-comma<br /> </td> <td><br /> </td> <td>| 39 53 -53 ><br /> </td> <td>71.012<br /> </td> </tr> </table> <br /> <!-- ws:start:WikiTextHeadingRule:9:<h2> --><h2 id="toc4"><a name="List of commas, by prime limit-7-limit commas"></a><!-- ws:end:WikiTextHeadingRule:9 -->7-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>hexadecatone comma, 16-7-comma<br /> </td> <td><br /> </td> <td>| 45 0 0 -16 ><br /> </td> <td>98.7855<br /> </td> </tr> <tr> <td>21-7-comma<br /> </td> <td><br /> </td> <td>| 59 0 0 -21 ><br /> </td> <td>54.656<br /> </td> </tr> <tr> <td>Hunt 7-cycle comma<br /> </td> <td><br /> </td> <td>| 73 0 0 -26 ><br /> </td> <td>10.526<br /> </td> </tr> <tr> <td>German sixth comma<br /> </td> <td><br /> </td> <td>| -87 0 0 31 ><br /> </td> <td>33.603<br /> </td> </tr> <tr> <td>large deep red comma<br /> </td> <td>6561 / 6272<br /> </td> <td>| -7, 8, 0 -2 ><br /> </td> <td>77.988<br /> </td> </tr> <tr> <td>36-7-comma<br /> </td> <td><br /> </td> <td>| -101 0 0 36 ><br /> </td> <td>77.737<br /> </td> </tr> <tr> <td>47-7-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/132%200%200%200%20-47">132 0 0 0 -47</a> ><br /> </td> <td>65.182<br /> </td> </tr> <tr> <td>slendro integer cents comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/1127%200%200%20-400">1127 0 0 -400</a> ><br /> </td> <td>69.637<br /> </td> </tr> <tr> <td>29-7/5-comma<br /> </td> <td><br /> </td> <td>| -14 0 -29 29 ><br /> </td> <td>92.854<br /> </td> </tr> <tr> <td>31-7/5-comma<br /> </td> <td><br /> </td> <td>| -15 0 -31 31 ><br /> </td> <td>57.878<br /> </td> </tr> <tr> <td>33-7/5-comma<br /> </td> <td><br /> </td> <td>| -16 0 -33 33 ><br /> </td> <td>22.902<br /> </td> </tr> <tr> <td>35-7/5-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/18%200%2035%20-35">18 0 35 -35</a> ><br /> </td> <td>12.073<br /> </td> </tr> <tr> <td>37-7/5-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/19%200%2037%20-37">19 0 37 -37</a> ><br /> </td> <td>47.049<br /> </td> </tr> <tr> <td>39-7/5-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/20%200%2039%20-39">20 0 39 -39</a> ><br /> </td> <td>82.0245<br /> </td> </tr> <tr> <td>5-21-comma<br /> </td> <td><br /> </td> <td>| 22 -5 0 -5 ><br /> </td> <td>46.0955<br /> </td> </tr> <tr> <td>18-21-comma<br /> </td> <td><br /> </td> <td>| -79 18 0 18 ><br /> </td> <td>74.056<br /> </td> </tr> <tr> <td>23-21-comma<br /> </td> <td><br /> </td> <td>| -101 23 0 23 ><br /> </td> <td>27.961<br /> </td> </tr> <tr> <td>Huntian 21-cycle comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/123%20-28%200%20-28">123 -28 0 -28</a> ><br /> </td> <td>18.135<br /> </td> </tr> <tr> <td>33-21-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/145%20-33%200%20-33">145 -33 0 -33</a> ><br /> </td> <td>64.230<br /> </td> </tr> <tr> <td>38-21-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/167%20-38%200%20-38">167 -38 0 -38</a> ><br /> </td> <td><a class="wiki_link" href="http://tel.wikispaces.com/110.3255">110.3255</a><br /> </td> </tr> <tr> <td>43-21-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/189%20-43%200%20-43">189 -43 0 -43</a> ><br /> </td> <td>156.421<br /> </td> </tr> <tr> <td>7-35-comma<br /> </td> <td><br /> </td> <td>| 36 0 -7 -7 ><br /> </td> <td>114.023<br /> </td> </tr> <tr> <td>8-35-comma<br /> </td> <td><br /> </td> <td>| -41 0 8 8 ><br /> </td> <td>41.117<br /> </td> </tr> <tr> <td>15-35-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/77%200%20-15%20-15">77 0 -15 -15</a> ><br /> </td> <td>72.906<br /> </td> </tr> <tr> <td>23-35-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/118%200%20-23%20-23">118 0 -23 -23</a> ><br /> </td> <td>31.789<br /> </td> </tr> <tr> <td>31-35-comma<br /> </td> <td><br /> </td> <td>| -159 0 31 31 ><br /> </td> <td>9.328<br /> </td> </tr> <tr> <td>39-35-comma<br /> </td> <td><br /> </td> <td>| -200 0 39 39 ><br /> </td> <td>50.445<br /> </td> </tr> <tr> <td>47-35-comma<br /> </td> <td><br /> </td> <td>| -241 0 47 47 ><br /> </td> <td>91.562<br /> </td> </tr> <tr> <td>Huntian 35-cycle comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/277%200%20-54%20-54">277 0 -54 -54</a> ><br /> </td> <td>22.4605<br /> </td> </tr> <tr> <td>greenwoodma<br /> </td> <td>405 / 392<br /> </td> <td>| -3 4 1 -2 ><br /> </td> <td>56.482<br /> </td> </tr> <tr> <td>Harrison's comma<br /> </td> <td><a class="wiki_link" href="/59049_57344">59049 / 57344</a><br /> </td> <td>| -13 10 0 -1 ><br /> </td> <td>50.724<br /> </td> </tr> <tr> <td>keega<br /> </td> <td>1029 / 1000<br /> </td> <td>| -3 1 -3 3 ><br /> </td> <td>49.492<br /> </td> </tr> <tr> <td>septimal quarter tone<br /> </td> <td><a class="wiki_link" href="/36_35">36 / 35</a><br /> </td> <td>| 2 2 -1 -1 ><br /> </td> <td>48.770<br /> </td> </tr> <tr> <td>quarter tone comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/49%2050%20-25%20-25">49 50 -25 -25</a> ><br /> </td> <td>19.2595<br /> </td> </tr> <tr> <td>cloudy<br /> </td> <td>16807 / 16384<br /> </td> <td>| -14 0 0 5 ><br /> </td> <td>44.130<br /> </td> </tr> <tr> <td>Avicenna, Avicenna's enharmonic diesis<br /> </td> <td>525 / 512<br /> </td> <td>| -9 1 2 1 ><br /> </td> <td>43.408<br /> </td> </tr> <tr> <td>slendro diesis<br /> </td> <td><a class="wiki_link" href="/49_48">49 / 48</a><br /> </td> <td>| -4 -1 0 2 ><br /> </td> <td>35.597<br /> </td> </tr> <tr> <td>slendro 34-comma<br /> </td> <td><br /> </td> <td>| -137 -34 0 68 ><br /> </td> <td>13.692<br /> </td> </tr> <tr> <td>34-jubilismic comma<br /> </td> <td><br /> </td> <td>| -33 0 -68 68 ><br /> </td> <td>10.829<br /> </td> </tr> <tr> <td>tritonic diesis, jubilisma<br /> </td> <td><a class="wiki_link" href="/50_49">50 / 49</a><br /> </td> <td>| 1 0 2 -2 ><br /> </td> <td>34.976<br /> </td> </tr> <tr> <td>eric<br /> </td> <td>[[tel:839808 / 823543|839808 / 823543]]<br /> </td> <td>| 7 8 0 -7 ><br /> </td> <td>33.859<br /> </td> </tr> <tr> <td>senga<br /> </td> <td>686 / 675<br /> </td> <td>| 1 -3 -2 3 ><br /> </td> <td>27.985<br /> </td> </tr> <tr> <td>septimal comma, Archytas' comma, Leipziger Komma<br /> </td> <td><a class="wiki_link" href="/64_63">64 / 63</a><br /> </td> <td>| 6 -2 0 -1 ><br /> </td> <td>27.264<br /> </td> </tr> <tr> <td>44-septimal comma<br /> </td> <td><br /> </td> <td>| -263 88 0 44 ><br /> </td> <td>0.294<br /> </td> </tr> <tr> <td>blackjackisma<br /> </td> <td><br /> </td> <td>| -10 7 8 -7 ><br /> </td> <td>22.413<br /> </td> </tr> <tr> <td>squalentine<br /> </td> <td>64827 / 64000<br /> </td> <td>| -9 3 -3 4 ><br /> </td> <td>22.227<br /> </td> </tr> <tr> <td>keema<br /> </td> <td>875 / 864<br /> </td> <td>| -5 -3 3 1 ><br /> </td> <td>21.902<br /> </td> </tr> <tr> <td>gariboh<br /> </td> <td>3125 / 3087<br /> </td> <td>| 0 -2 5 -3 ><br /> </td> <td>21.181<br /> </td> </tr> <tr> <td>nuwell<br /> </td> <td>2430 / 2401<br /> </td> <td>| 1 5 1 -4 ><br /> </td> <td>20.785<br /> </td> </tr> <tr> <td>tolerma<br /> </td> <td>[[tel:179200 / 177147|179200 / 177147]]<br /> </td> <td>| 10 -11 2 1 ><br /> </td> <td>19.948<br /> </td> </tr> <tr> <td>mirwomo<br /> </td> <td>33075 / 32768<br /> </td> <td>| -15 3 2 2 ><br /> </td> <td>16.144<br /> </td> </tr> <tr> <td>trimyna<br /> </td> <td>50421 / 50000<br /> </td> <td>| -4 1 -5 5 ><br /> </td> <td>14.516<br /> </td> </tr> <tr> <td>sensamagic<br /> </td> <td>245 / 243<br /> </td> <td>| 0 -5 1 2 ><br /> </td> <td>14.191<br /> </td> </tr> <tr> <td>septimal semicomma, starling comma<br /> </td> <td><a class="wiki_link" href="/126_125">126 / 125</a><br /> </td> <td>| 1 2 -3 1 ><br /> </td> <td>13.795<br /> </td> </tr> <tr> <td>octagar<br /> </td> <td>4000 / 3969<br /> </td> <td>| 5 -4 3 -2 ><br /> </td> <td>13.469<br /> </td> </tr> <tr> <td>orwellisma, orwell comma<br /> </td> <td>1728 / 1715<br /> </td> <td>| 6 3 -1 -3 ><br /> </td> <td>13.074<br /> </td> </tr> <tr> <td>quince<br /> </td> <td>[[tel:823543 / 819200|823543 / 819200]]<br /> </td> <td>| -15 0 -2 7 ><br /> </td> <td>9.154<br /> </td> </tr> <tr> <td>gamelisma<br /> </td> <td>1029 / 1024<br /> </td> <td>| -10 1 0 3 ><br /> </td> <td>8.433<br /> </td> </tr> <tr> <td>varunisma<br /> </td> <td>[[tel:321489 / 320000|321489 / 320000]]<br /> </td> <td>| -9 8 -4 2 ><br /> </td> <td>8.037<br /> </td> </tr> <tr> <td>septimal kleisma, marvel comma<br /> </td> <td><a class="wiki_link" href="/225_224">225 / 224</a><br /> </td> <td>| -5 2 2 -1 ><br /> </td> <td>7.712<br /> </td> </tr> <tr> <td>dimcomp<br /> </td> <td>[[tel:390625 / 388962|390625 / 388962]]<br /> </td> <td>| -1 -4 8 -4 ><br /> </td> <td>7.386<br /> </td> </tr> <tr> <td>cataharry<br /> </td> <td>19683 / 19600<br /> </td> <td>| -4 9 -2 -2 ><br /> </td> <td>7.316<br /> </td> </tr> <tr> <td>mirkwai<br /> </td> <td>16875 / 16807<br /> </td> <td>| 0 3 4 -5 ><br /> </td> <td>6.990<br /> </td> </tr> <tr> <td>stearnsma<br /> </td> <td>[[tel:118098 / 117649|118098 / 117649]]<br /> </td> <td>| 1 10 0 -6 ><br /> </td> <td>6.595<br /> </td> </tr> <tr> <td>hemimage<br /> </td> <td>10976 / 10935<br /> </td> <td>| 5 -7 -1 3 ><br /> </td> <td>6.479<br /> </td> </tr> <tr> <td>hemimean<br /> </td> <td>3136 / 3125<br /> </td> <td>| 6 0 -5 2 ><br /> </td> <td>6.083<br /> </td> </tr> <tr> <td>hemifamity<br /> </td> <td>5120 / 5103<br /> </td> <td>| 10 -6 1 -1 ><br /> </td> <td>5.758<br /> </td> </tr> <tr> <td>linus<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/11%20-10%20-10%2010">11 -10 -10 10</a> ><br /> </td> <td>5.572<br /> </td> </tr> <tr> <td>porwell<br /> </td> <td>6144 / 6125<br /> </td> <td>| 11 1 -3 -2 ><br /> </td> <td>5.362<br /> </td> </tr> <tr> <td>garischisma<br /> </td> <td><br /> </td> <td>| 25 -14 0 -1 ><br /> </td> <td>3.804<br /> </td> </tr> <tr> <td>wadisma<br /> </td> <td><br /> </td> <td>| -26 -1 1 9 ><br /> </td> <td>3.792<br /> </td> </tr> <tr> <td>quasiorwellisma<br /> </td> <td><br /> </td> <td>| 22 -1 -10 1 ><br /> </td> <td>3.734<br /> </td> </tr> <tr> <td>horwell<br /> </td> <td>65625 / 65536<br /> </td> <td>| -16 1 5 1 ><br /> </td> <td>2.349<br /> </td> </tr> <tr> <td>meter<br /> </td> <td>[[tel:703125 / 702464|703125 / 702464]]<br /> </td> <td>| -11 2 7 -3 ><br /> </td> <td>1.628<br /> </td> </tr> <tr> <td>wizma<br /> </td> <td>[[tel:420175 / 419904|420175 / 419904]]<br /> </td> <td>| -6 -8 2 5 ><br /> </td> <td>1.117<br /> </td> </tr> <tr> <td>breedsma<br /> </td> <td><a class="wiki_link" href="/2401_2400">2401 / 2400</a><br /> </td> <td>| -5 -1 -2 4 ><br /> </td> <td>0.721<br /> </td> </tr> <tr> <td>ragisma<br /> </td> <td>4375 / 4374<br /> </td> <td>| -1 -7 4 1 ><br /> </td> <td>0.396<br /> </td> </tr> <tr> <td>akjaysma, 5\7 octave comma<br /> </td> <td><br /> </td> <td>| 47 -7 -7 -7 ><br /> </td> <td>0.338<br /> </td> </tr> <tr> <td>landscape<br /> </td> <td>[[tel:250047 / 250000|250047 / 250000]]<br /> </td> <td>| -4 6 -6 3 ><br /> </td> <td>0.325<br /> </td> </tr> <tr> <td>starscape<br /> </td> <td><br /> </td> <td>| -4 17 1 -9 ><br /> </td> <td>0.116<br /> </td> </tr> <tr> <td>euzenius<br /> </td> <td><br /> </td> <td>| 3 -13 10 -2 ><br /> </td> <td>0.070<br /> </td> </tr> <tr> <td>termite<br /> </td> <td><br /> </td> <td>| 9 -28 37 -18 ><br /> </td> <td>1.072 * 10^-3<br /> </td> </tr> <tr> <td>neutrino<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/1889%20-2145%20138%20424">1889 -2145 138 424</a> ><br /> </td> <td>1.636 * 10^-10<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/218edo">218edo</a> (stacked 7/4 and 10/9) comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/22%20-32%2016%20-3">22 -32 16 -3</a> ><br /> </td> <td>11.982<br /> </td> </tr> </table> <br /> <!-- ws:start:WikiTextHeadingRule:11:<h2> --><h2 id="toc5"><a name="List of commas, by prime limit-11-limit commas"></a><!-- ws:end:WikiTextHeadingRule:11 -->11-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>11-cycle chroma, 11-11-comma<br /> </td> <td><br /> </td> <td>| -38 0 0 0 11 ><br /> </td> <td>64.497<br /> </td> </tr> <tr> <td>11-cycle major seventh prote, 35-11-comma<br /> </td> <td><br /> </td> <td>| -121 0 0 0 35 ><br /> </td> <td>96.128<br /> </td> </tr> <tr> <td>11-cycle schisma, 37-11-comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/128%200%200%200%20-37">128 0 0 0 -37</a> ><br /> </td> <td>1.236<br /> </td> </tr> <tr> <td>Hunt 11-cycle comma<br /> </td> <td><br /> </td> <td>| -83 0 0 0 24 ><br /> </td> <td>31.631<br /> </td> </tr> <tr> <td>Hunt flat 5 comma<br /> </td> <td>8192 / 8019<br /> </td> <td>| 13 -6 0 0 -1 ><br /> </td> <td>36.952<br /> </td> </tr> <tr> <td>sterno<br /> </td> <td>352 / 343<br /> </td> <td>| 5 0 0 -3 1 ><br /> </td> <td>44.840<br /> </td> </tr> <tr> <td>the Igs boson<span style="line-height: 1.5;">, 13-11-comma</span><br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/45%200%200%200%20-13">45 0 0 0 -13</a> ><br /> </td> <td>32.867<br /> </td> </tr> <tr> <td>telepathma<br /> </td> <td>55 / 54<br /> </td> <td>| -1 -3 1 0 1 ><br /> </td> <td>31.767<br /> </td> </tr> <tr> <td>thuja comma<br /> </td> <td>[[tel:163840 / 161051|163840 / 161051]]<br /> </td> <td>| 15 0 1 0 -5 ><br /> </td> <td>29.724<br /> </td> </tr> <tr> <td>sensmus<br /> </td> <td>1232 / 1215<br /> </td> <td>| 4 -5 -1 1 1 ><br /> </td> <td>24.055<br /> </td> </tr> <tr> <td>sevnothrush<br /> </td> <td>3168 / 3125<br /> </td> <td>| 5 2 -5 0 1 ><br /> </td> <td>23.659<br /> </td> </tr> <tr> <td>cassacot<br /> </td> <td>245 / 242<br /> </td> <td>| -1 0 1 2 -2 ><br /> </td> <td>21.330<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a><br /> </td> <td>99 / 98<br /> </td> <td>| -1 2 0 -2 1 ><br /> </td> <td>17.576<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a><br /> </td> <td><a class="wiki_link" href="/100_99">100 / 99</a><br /> </td> <td>| 2 -2 2 0 -1 ><br /> </td> <td>17.399<br /> </td> </tr> <tr> <td>hemimin<br /> </td> <td>1344 / 1331<br /> </td> <td>| 6 1 0 1 -3 ><br /> </td> <td>16.827<br /> </td> </tr> <tr> <td>biyatisma<br /> </td> <td>121 / 120<br /> </td> <td>| -3 -1 -1 0 2 ><br /> </td> <td>14.367<br /> </td> </tr> <tr> <td>aphrowe<br /> </td> <td>1331 / 1323<br /> </td> <td>| 0 -3 0 -2 3 ><br /> </td> <td>10.437<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a><br /> </td> <td>176 / 175<br /> </td> <td>| 4 0 -2 -1 1 ><br /> </td> <td>9.865<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/pentacircle%20comma">pentacircle</a><br /> </td> <td>896 / 891<br /> </td> <td>| 7 -4 0 1 -1 ><br /> </td> <td>9.688<br /> </td> </tr> <tr> <td>orgonisma<br /> </td> <td>65536 / 65219<br /> </td> <td>| 16 0 0 -2 -3 ><br /> </td> <td>8.394<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/rastmic%20chords">rastma</a><br /> </td> <td>243 / 242<br /> </td> <td>| -1 5 0 0 -2 ><br /> </td> <td>7.139<br /> </td> </tr> <tr> <td>myhemiwell<br /> </td> <td>3388 / 3375<br /> </td> <td>| 2 -3 -3 1 2 ><br /> </td> <td>6.656<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/keenanismic%20chords">keenanisma</a><br /> </td> <td><a class="wiki_link" href="/385_384">385 / 384</a><br /> </td> <td>| -7 -1 1 1 1 ><br /> </td> <td>4.503<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/werckismic%20chords">werckisma</a><br /> </td> <td>441 / 440<br /> </td> <td>| -3 2 -1 2 -1 ><br /> </td> <td>3.930<br /> </td> </tr> <tr> <td>moctdel<br /> </td> <td>1375 / 1372<br /> </td> <td>| -2 0 3 -3 1 ><br /> </td> <td>3.781<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/swetismic%20chords">swetisma</a><br /> </td> <td>540 / 539<br /> </td> <td>| 2 3 1 -2 -1 ><br /> </td> <td>3.209<br /> </td> </tr> <tr> <td>wizardharry<br /> </td> <td>4000 / 3993<br /> </td> <td>| 5 -1 3 0 -3 ><br /> </td> <td>3.032<br /> </td> </tr> <tr> <td>vishdel<br /> </td> <td>5632 / 5625<br /> </td> <td>| 9 -2 -4 0 1 ><br /> </td> <td>2.153<br /> </td> </tr> <tr> <td>sesdecal<br /> </td> <td>[[tel:234375 / 234256|234375 / 234256]]<br /> </td> <td>| -4 1 7 0 -4 ><br /> </td> <td>0.879<br /> </td> </tr> <tr> <td>hemigail<br /> </td> <td>43923 / 43904<br /> </td> <td>| -7 1 0 -3 4 ><br /> </td> <td>0.749<br /> </td> </tr> <tr> <td>lehmerisma<br /> </td> <td>3025 / 3024<br /> </td> <td>| -4 -3 2 -1 2 ><br /> </td> <td>0.572<br /> </td> </tr> <tr> <td>kalisma, Gauss' comma<br /> </td> <td>9801 / 9800<br /> </td> <td>| -3 4 -2 -2 2 ><br /> </td> <td>0.177<br /> </td> </tr> <tr> <td>odiheim<br /> </td> <td>[[tel:151263 / 151250|151263 / 151250]]<br /> </td> <td>| -1 2 -4 5 -2 ><br /> </td> <td>0.149<br /> </td> </tr> <tr> <td>parimo<br /> </td> <td><br /> </td> <td>| -1 -11 -1 0 6 ><br /> </td> <td>0.089<br /> </td> </tr> <tr> <td>ultimo<br /> </td> <td><br /> </td> <td>| -2 2 2 -7 4 ><br /> </td> <td>0.028<br /> </td> </tr> </table> <br /> <!-- ws:start:WikiTextHeadingRule:13:<h2> --><h2 id="toc6"><a name="List of commas, by prime limit-13-limit commas"></a><!-- ws:end:WikiTextHeadingRule:13 -->13-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>Hunt 13-cycle comma<br /> </td> <td><br /> </td> <td>| -37 0 0 0 0 0 10 ><br /> </td> <td>5.277<br /> </td> </tr> <tr> <td><span style="font-size: 12.8000001907349px;">silver half cents comma</span><br /> </td> <td><br /> </td> <td><span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 ></span><br /> </td> <td><span style="font-size: 12.8000001907349px;">66.389</span><br /> </td> </tr> <tr> <td>Hunt minor submediant comma<br /> </td> <td>1053 / 1024<br /> </td> <td>| -10 4 0 0 0 0 1 ><br /> </td> <td>48.348<br /> </td> </tr> <tr> <td>astburyp<br /> </td> <td><br /> </td> <td>| -19 -2 0 0 0 6 ><br /> </td> <td>39.255<br /> </td> </tr> <tr> <td>wilsorma<br /> </td> <td>65 / 64<br /> </td> <td>| -6 0 1 0 0 1 ><br /> </td> <td>26.841<br /> </td> </tr> <tr> <td>winmeanma<br /> </td> <td>66 / 65<br /> </td> <td>| 1 1 -1 0 1 -1 ><br /> </td> <td>26.432<br /> </td> </tr> <tr> <td>negustma<br /> </td> <td>78 / 77<br /> </td> <td>| 1 1 0 -1 -1 1 ><br /> </td> <td>22.229<br /> </td> </tr> <tr> <td>superleap<br /> </td> <td>91 / 90<br /> </td> <td>| -1 -2 -1 1 0 1 ><br /> </td> <td>19.130<br /> </td> </tr> <tr> <td>animist<br /> </td> <td>105 / 104<br /> </td> <td>| -3 1 1 1 0 -1 ><br /> </td> <td>16.567<br /> </td> </tr> <tr> <td>secorian<br /> </td> <td>28672 / 28431<br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/12%20-7%200%201%200%20-1">12 -7 0 1 0 -1</a> ><br /> </td> <td>14.613<br /> </td> </tr> <tr> <td>mosaic<br /> </td> <td>3159 / 3136<br /> </td> <td>|-6 5 0 -2 0 1><br /> </td> <td>12.651<br /> </td> </tr> <tr> <td>gassorma<br /> </td> <td>275 / 273<br /> </td> <td>| 0 -1 2 -1 1 -1 ><br /> </td> <td>12.637<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/grossma">grossma</a><br /> </td> <td>144 / 143<br /> </td> <td>| 4 2 0 0 -1 -1 ><br /> </td> <td>12.064<br /> </td> </tr> <tr> <td>buzurgisma, dhanvantarisma<br /> </td> <td>169 / 168<br /> </td> <td>| -3 -1 0 -1 0 2 ><br /> </td> <td>10.274<br /> </td> </tr> <tr> <td>catadictma<br /> </td> <td>1287 / 1280<br /> </td> <td>| -8 2 -1 0 1 1 ><br /> </td> <td>9.442<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/mynucumic%20chords">mynucuma</a><br /> </td> <td>196 / 195<br /> </td> <td>| 2 -1 -1 2 0 -1 ><br /> </td> <td>8.855<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/huntmic%20chords">huntma</a><br /> </td> <td>640 / 637<br /> </td> <td>| 7 0 1 -2 0 -1 ><br /> </td> <td>8.134<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/threedie">threedie</a><br /> </td> <td>2197 / 2187<br /> </td> <td>| 0 -7 0 0 0 3 ><br /> </td> <td>7.897<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/kestrel%20chords">kestrel comma</a><br /> </td> <td>1188 / 1183<br /> </td> <td>| 2 3 0 -1 1 -2 ><br /> </td> <td>7.302<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/marveltwin">marveltwin</a><br /> </td> <td>325 / 324<br /> </td> <td>| -2 -4 2 0 0 1 ><br /> </td> <td>5.335<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a><br /> </td> <td>351 / 350<br /> </td> <td>| -1 3 -2 -1 0 1 ><br /> </td> <td>4.939<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/minthmic%20chords">minthma</a><br /> </td> <td>352 / 351<br /> </td> <td>| 5 -3 0 0 1 -1 ><br /> </td> <td>4.925<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/gentle%20chords">gentle comma</a><br /> </td> <td>364 / 363<br /> </td> <td>| 2 -1 0 1 -2 1 ><br /> </td> <td>4.763<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/cuthbert%20triad">cuthbert</a><br /> </td> <td>847 / 845<br /> </td> <td>| 0 0 -1 1 2 -2 ><br /> </td> <td>4.093<br /> </td> </tr> <tr> <td>tunbarsma<br /> </td> <td>625 / 624<br /> </td> <td>| -4 -1 4 0 0 -1 ><br /> </td> <td>2.772<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/The%20Archipelago">island comma</a><br /> </td> <td>676 / 675<br /> </td> <td>| 2 -3 -2 0 0 2 ><br /> </td> <td>2.563<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/squbemic%20chords">squbema</a><br /> </td> <td>729 / 728<br /> </td> <td>| -3 6 0 -1 0 -1 ><br /> </td> <td>2.376<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/petrmic%20triad">petrma</a><br /> </td> <td>2200 / 2197<br /> </td> <td>| 3 0 2 0 1 -3 ><br /> </td> <td>2.362<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/nicolic%20tetrad">nicola</a><br /> </td> <td>1575 / 1573<br /> </td> <td>| 0 2 2 1 -2 -1 ><br /> </td> <td>2.200<br /> </td> </tr> <tr> <td><a class="wiki_link" href="/sinbadmic%20tetrad">sinbadma</a><br /> </td> <td>1001 / 1000<br /> </td> <td>| -3 0 -3 1 1 1 ><br /> </td> <td>1.730<br /> </td> </tr> <tr> <td>cantonisma<br /> </td> <td>10985 / 10976<br /> </td> <td>| -5 0 1 -3 0 3 ><br /> </td> <td>1.419<br /> </td> </tr> <tr> <td>lummic<br /> </td> <td>1716 / 1715<br /> </td> <td>| 2 1 -1 -3 1 1 ><br /> </td> <td>1.009<br /> </td> </tr> <tr> <td>ibnsinma<br /> </td> <td>2080 / 2079<br /> </td> <td>| 5 -3 1 -1 -1 1 ><br /> </td> <td>0.833<br /> </td> </tr> <tr> <td>schismina<br /> </td> <td>4096 / 4095<br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/12%20-2%20-1%20-1%200%20-1">12 -2 -1 -1 0 -1</a> ><br /> </td> <td>0.423<br /> </td> </tr> <tr> <td>leprechaun comma<br /> </td> <td>4225 / 4224<br /> </td> <td>| -7 -1 2 0 -1 2 ><br /> </td> <td>0.410<br /> </td> </tr> <tr> <td>jacobin<br /> </td> <td>6656 / 6655<br /> </td> <td>| 9 0 -1 0 -3 1 ><br /> </td> <td>0.260<br /> </td> </tr> <tr> <td>harmonisma<br /> </td> <td>10648 / 10647<br /> </td> <td>| 3 -2 0 -1 3 -2 ><br /> </td> <td>0.163<br /> </td> </tr> <tr> <td>chalmersima<br /> </td> <td><br /> </td> <td>| -6 6 -2 -1 -1 2 ><br /> </td> <td>0.014<br /> </td> </tr> </table> <br /> <!-- ws:start:WikiTextHeadingRule:15:<h2> --><h2 id="toc7"><a name="List of commas, by prime limit-17-limit commas"></a><!-- ws:end:WikiTextHeadingRule:15 -->17-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>11 semitone comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/45%200%200%200%200%200%20-11">45 0 0 0 0 0 -11</a> ><br /> </td> <td>45.4905<br /> </td> </tr> <tr> <td>12 semitone comma<br /> </td> <td><br /> </td> <td>| -49 0 0 0 0 0 12 ><br /> </td> <td>59.465<br /> </td> </tr> <tr> <td>23 semitone comma<br /> </td> <td><br /> </td> <td>| -93 0 0 0 0 0 23 ><br /> </td> <td>13.974<br /> </td> </tr> <tr> <td>Hunt 17-cycle comma<br /> </td> <td><br /> </td> <td>| -138 0 0 0 0 0 34 ><br /> </td> <td>31.516<br /> </td> </tr> <tr> <td>17-ripple integer cents comma<br /> </td> <td><br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/327%200%200%200%200%200%20-80">327 0 0 0 0 0 -80</a> ><br /> </td> <td>3.568<br /> </td> </tr> <tr> <td>Hunt flat 2 comma<br /> </td> <td>4131 / 4096<br /> </td> <td>| -12 5 0 0 0 0 1 ><br /> </td> <td>14.730<br /> </td> </tr> <tr> <td>Blume comma<br /> </td> <td>2057 / 2048<br /> </td> <td>| -11 0 0 0 2 0 1 ><br /> </td> <td>7.591<br /> </td> </tr> <tr> <td>xenisma<br /> </td> <td>2058 / 2057<br /> </td> <td>| 1 1 0 3 -2 0 -1 ><br /> </td> <td>0.841<br /> </td> </tr> <tr> <td><br /> </td> <td>12376 / 12375<br /> </td> <td>| 3 -2 -3 1 -1 1 1 ><br /> </td> <td>0.140<br /> </td> </tr> <tr> <td><br /> </td> <td>14400 / 14399<br /> </td> <td>| 6 2 2 -1 -2 0 -1 ><br /> </td> <td>0.120<br /> </td> </tr> <tr> <td>scintillisma<br /> </td> <td>[[tel:194481 / 194480|194481 / 194480]]<br /> </td> <td>| -4 4 -1 4 -1 -1 -1 ><br /> </td> <td>0.009<br /> </td> </tr> <tr> <td>Septendecimal Integer Cents comma<br /> </td> <td>289 / 288<br /> </td> <td>| -5 -2 0 0 0 0 2 ><br /> </td> <td>6.001<br /> </td> </tr> </table> <br /> <!-- ws:start:WikiTextHeadingRule:17:<h2> --><h2 id="toc8"><a name="List of commas, by prime limit-19-limit commas"></a><!-- ws:end:WikiTextHeadingRule:17 -->19-limit commas</h2> <table class="wiki_table"> <tr> <th>name(s)<br /> </th> <th>ratio<br /> </th> <th>monzo<br /> </th> <th>cents<br /> </th> </tr> <tr> <td>Hunt 19-cycle comma<br /> </td> <td>[[tel:131072 / 130321|131072 / 130321]]<br /> </td> <td>| <a class="wiki_link" href="http://tel.wikispaces.com/17%200%200%200%200%200%200%20-4">17 0 0 0 0 0 0 -4</a> ><br /> </td> <td>9.950<br /> </td> </tr> <tr> <td>Hunt 19-minor mediant comma<br /> </td> <td>513 / 512<br /> </td> <td>| -9 3 0 0 0 0 0 1 ><br /> </td> <td>3.378<br /> </td> </tr> <tr> <td>spleen comma<br /> </td> <td>210 / 209<br /> </td> <td>| 1 1 1 1 -1 0 0 -1 ><br /> </td> <td>8.264<br /> </td> </tr> <tr> <td>go comma<br /> </td> <td>361 / 360<br /> </td> <td>| -3 -2 -1 0 0 0 0 2 ><br /> </td> <td>4.802<br /> </td> </tr> <tr> <td>Blumeyer comma<br /> </td> <td>2432 / 2431<br /> </td> <td>| 7 0 0 0 -1 -1 -1 1 ><br /> </td> <td>0.712<br /> </td> </tr> <tr> <td><br /> </td> <td>[[tel:165376 / 165375|165376 / 165375]]<br /> </td> <td>| 9 -3 -3 -2 0 0 1 1><br /> </td> <td>0.010<br /> </td> </tr> </table> <!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/25699772?h=0&w=0" 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