Small comma: Difference between revisions
Wikispaces>PiotrGrochowski **Imported revision 592486188 - Original comment: corrected mistake in 105/104's monzo** |
Wikispaces>JosephRuhf **Imported revision 597235304 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-26 15:51:53 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597235304</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
| Line 11: | Line 11: | ||
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. | 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]] | 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= | =List of commas, by prime limit= | ||
| Line 17: | Line 17: | ||
||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||
|| 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]] || 531441 / 524288 || | -19 12 > || 23.460 || | || [[Pythagorean comma]] || [[tel:531441 / 524288|531441 / 524288]] || | -19 12 > || 23.460 || | ||
|| [[17-comma]] || 134217728 / 129140163 || | 27 -17 > || 66.765 || | || [[17-comma]] || 134217728 / 129140163 || | 27 -17 > || 66.765 || | ||
|| [[29-comma]] || | || [[29-comma]] || || | 46 -29 > || 43.305 || | ||
|| [[41-comma]] || | || [[41-comma]] || || | 65 -41 > || 19.845 || | ||
|| Pythagorean Integer cents comma || || | 317 -200 > || 9.000 || | || Pythagorean Integer cents comma || || | 317 -200 > || 9.000 || | ||
|| [[Mercator's comma]], 53-comma || | || [[Mercator's comma]], 53-comma || || | -84 53 > || 3.615 || | ||
|| 70-comma || || | 111 -70 > || 63.150 || | || 70-comma || || | 111 -70 > || 63.150 || | ||
==5-limit commas== | ==5-limit commas== | ||
| Line 44: | Line 42: | ||
|| major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 > || 92.179 || | || major chroma, major limma, pelogic comma || [[135_128|135 / 128]] || | -7 3 1 > || 92.179 || | ||
|| ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 || | || ripple || 6561 / 6250 || | -1 8 -5 > || 84.071 || | ||
|| doublewide || 390625 / 373248 || | -9 -6 8 > || 78.780 || | || doublewide || [[tel:390625 / 373248|390625 / 373248]] || | -9 -6 8 > || 78.780 || | ||
|| sevond || 5000000 / 4782969 || | 6 -14 7 > || 76.826 || | || sevond || [[tel:5000000 / 4782969|5000000 / 4782969]] || | 6 -14 7 > || 76.826 || | ||
|| nusecond || 51018336 / 48828125 || | 5 13 -11 > || 75.964 || | || nusecond || [[tel:51018336 / 48828125|51018336 / 48828125]] || | 5 13 -11 > || 75.964 || | ||
|| sentinel || [[tel/8968066875|8968066875]] / [[tel/8589934592|8589934592]] || | -33 15 4 > || 74.580 || | || sentinel || [[tel/8968066875|8968066875]] / [[tel/8589934592|8589934592]] || | -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 || || | - | || chromatic semitones comma || || | -51 -17 34 > || 4.715 || | ||
|| superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 > || 68.719 || | || superpyth, grave minor second || 20480 / 19683 || | 12 -9 1 > || 68.719 || | ||
|| 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 || 262144 / 253125 || | 18 -4 -5 > || 60.611 || | || passion || [[tel:262144 / 253125|262144 / 253125]] || | 18 -4 -5 > || 60.611 || | ||
|| shibboleth || 1953125 / 1889568 || | -5 -10 9 > || 57.273 || | || shibboleth || [[tel:1953125 / 1889568|1953125 / 1889568]] || | -5 -10 9 > || 57.273 || | ||
|| mynic || 10077696 / 9765625 || | 9 9 -10 > || 54.458 || | || mynic || [[tel:10077696 / 9765625|10077696 / 9765625]] || | 9 9 -10 > || 54.458 || | ||
|| tritonic || 553584375 / 536870912 || | -29 11 5 > || 53.074 || | || tritonic || 553584375 / 536870912 || | -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 || 1638400 / 1594323 || | 16 -13 2 > || 47.212 || | || immunity || [[tel:1638400 / 1594323|1638400 / 1594323]] || | 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 || [[tel/2197265625|2197265625]] / [[tel/2147483648|2147483648]] || | -31 2 12 > || 39.675 || | || wizard || [[tel/2197265625|2197265625]] / [[tel/2147483648|2147483648]] || | -31 2 12 > || 39.675 || | ||
|| sycamore || 48828125 / 47775744 || | -16 -6 11 > || 37.721 || | || sycamore || [[tel:48828125 / 47775744|48828125 / 47775744]] || | -16 -6 11 > || 37.721 || | ||
|| fifive || 9765625 / 9565938 || | -1 -14 10 > || 35.767 || | || fifive || [[tel:9765625 / 9565938|9765625 / 9565938]] || | -1 -14 10 > || 35.767 || | ||
|| unicorn || 1594323 / 1562500 || | -2 13 -8 > || 34.905 || | || unicorn || [[tel:1594323 / 1562500|1594323 / 1562500]] || | -2 13 -8 > || 34.905 || | ||
|| valensixthtone || 1990656 / 1953125 || | 13 5 -9 > || 32.952 || | || valensixthtone || [[tel:1990656 / 1953125|1990656 / 1953125]] || | 13 5 -9 > || 32.952 || | ||
|| [[ampersand]], Ampersand's comma || 34171875 / 33554432 || | -25 7 6 > || 31.567 || | || [[ampersand]], Ampersand's comma || [[tel:34171875 / 33554432|34171875 / 33554432]] || | -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 || 131072000 / 129140163 || | 20 -17 3 > || 25.706 || | || roda || 131072000 / 129140163 || | 20 -17 3 > || 25.706 || | ||
|| maja || | || 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]] || | || [[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 || 1220703125 / 1207959552 || | -27 -2 13 > || 18.168 || | || ditonma || [[tel:1220703125|1220703125]] / [[tel:1207959552|1207959552]] || | -27 -2 13 > || 18.168 || | ||
|| [[misty comma]] || 67108864 / 66430125 || | 26 -12 -3 > || 17.599 || | || [[misty comma]] || [[tel:67108864 / 66430125|67108864 / 66430125]] || | 26 -12 -3 > || 17.599 || | ||
|| [[Pental family|pental comma]] || | || [[Pental family|pental comma]] || || | -28 25 -5 > || 17.306 || | ||
|| [[graviton]], [[Gravity family|gravity]] comma || 129140163 / 128000000 || | -13 17 -6 > || 15.353 || | || [[graviton]], [[Gravity family|gravity]] comma || 129140163 / 128000000 || | -13 17 -6 > || 15.353 || | ||
|| quartonic || 390625000 / 387420489 || | 3 -18 11 > || 14.261 || | || quartonic || 390625000 / 387420489 || | 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]] || 393216 / 390625 || | 17 1 -8 > || 11.445 || | || [[Würschmidt comma]] || [[tel:393216 / 390625|393216 / 390625]] || | 17 1 -8 > || 11.445 || | ||
|| [[semicomma]], Fokker comma || 2109375 / 2097152 || | -21 3 7 > || 10.061 || | || [[semicomma]], Fokker comma || [[tel:2109375 / 2097152|2109375 / 2097152]] || | -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 || 31381059609 / 31250000000 || | -7 22 -12 > || 7.245 || | || unidecma || [[tel:31381059609|31381059609]] / [[tel:31250000000|31250000000]] || | -7 22 -12 > || 7.245 || | ||
|| [[mutt comma]] || || | -44 -3 21 > || 6.723 || | || [[mutt comma]] || || | -44 -3 21 > || 6.723 || | ||
|| [[amity comma]] || 1600000 / 1594323 || | 9 -13 5 > || 6.154 || | || [[amity comma]] || [[tel:1600000 / 1594323|1600000 / 1594323]] || | 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 || | ||
|| [[vulture comma]] || || | 24 -21 4 > || 4.200 || | || [[vulture comma]] || || | 24 -21 4 > || 4.200 || | ||
|| 23-3/5-comma || || | 17 23 -23 > || 59.750 || | || 23-3/5-comma || || | 17 23 -23 > || 59.750 || | ||
|| 34-3/5-comma || || | -25 -34 34 > || 68.196 || | || 34-3/5-comma || || | -25 -34 34 > || 68.196 || | ||
|| 53-3/5-comma || || | 39 53 -53 > || 71.012 || | || 53-3/5-comma || || | 39 53 -53 > || 71.012 || | ||
==7-limit commas== | ==7-limit commas== | ||
| Line 132: | Line 99: | ||
|| large deep red comma || 6561 / 6272 || | -7, 8, 0 -2 > || 77.988 || | || large deep red comma || 6561 / 6272 || | -7, 8, 0 -2 > || 77.988 || | ||
|| 36-7-comma || || | -101 0 0 36 > || 77.737 || | || 36-7-comma || || | -101 0 0 36 > || 77.737 || | ||
|| 47-7-comma || || | 132 0 0 0 -47 > || 65.182 || | || 47-7-comma || || | [[tel:132 0 0 0 -47|132 0 0 0 -47]] > || 65.182 || | ||
|| slendro integer cents comma || || | 1127 0 0 -400 > || 69.637 || | || 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 || | || 29-7/5-comma || || | -14 0 -29 29 > || 92.854 || | ||
|| 31-7/5-comma || || | -15 0 -31 31 > || 57.878 || | || 31-7/5-comma || || | -15 0 -31 31 > || 57.878 || | ||
|| 33-7/5-comma || || | -16 0 -33 33 > || 22.902 || | || 33-7/5-comma || || | -16 0 -33 33 > || 22.902 || | ||
|| 35-7/5-comma || || | 18 0 35 -35 > || 12.073 || | || 35-7/5-comma || || | [[tel:18 0 35 -35|18 0 35 -35]] > || 12.073 || | ||
|| 37-7/5-comma || || | 19 0 37 -37 > || 47.049 || | || 37-7/5-comma || || | [[tel:19 0 37 -37|19 0 37 -37]] > || 47.049 || | ||
|| 39-7/5-comma || || | 20 0 39 -39 > || 82.0245 || | || 39-7/5-comma || || | [[tel:20 0 39 -39|20 0 39 -39]] > || 82.0245 || | ||
|| 5-21-comma || | || 5-21-comma || || | 22 -5 0 -5 > || 46.0955 || | ||
|| 18-21-comma || || | -79 18 0 18 > || 74.056 || | || 18-21-comma || || | -79 18 0 18 > || 74.056 || | ||
|| 23-21-comma || || | -101 23 0 23 > || 27.961 || | || 23-21-comma || || | -101 23 0 23 > || 27.961 || | ||
|| Huntian 21-cycle comma || || | 123 -28 0 -28 > || 18.135 || | || Huntian 21-cycle comma || || | [[tel:123 -28 0 -28|123 -28 0 -28]] > || 18.135 || | ||
|| 33-21-comma || || | 145 -33 0 -33 > || 64.230 || | || 33-21-comma || || | [[tel:145 -33 0 -33|145 -33 0 -33]] > || 64.230 || | ||
|| 38-21-comma || || | 167 -38 0 -38 > || 110.3255 || | || 38-21-comma || || | [[tel:167 -38 0 -38|167 -38 0 -38]] > || [[tel:110.3255|110.3255]] || | ||
|| 43-21-comma || || | 189 -43 0 -43 > || 156.421 || | || 43-21-comma || || | [[tel:189 -43 0 -43|189 -43 0 -43]] > || 156.421 || | ||
|| 7-35-comma || || | 36 0 -7 -7 > || 114.023 || | || 7-35-comma || || | 36 0 -7 -7 > || 114.023 || | ||
|| 8-35-comma || || | -41 0 8 8 > || 41.117 || | || 8-35-comma || || | -41 0 8 8 > || 41.117 || | ||
|| 15-35-comma || || | 77 0 -15 -15 > || 72.906 || | || 15-35-comma || || | [[tel:77 0 -15 -15|77 0 -15 -15]] > || 72.906 || | ||
|| 23-35-comma || || | 118 0 -23 -23 > || 31.789 || | || 23-35-comma || || | [[tel:118 0 -23 -23|118 0 -23 -23]] > || 31.789 || | ||
|| 31-35-comma || || | -159 0 31 31 > || 9.328 || | || 31-35-comma || || | -159 0 31 31 > || 9.328 || | ||
|| 39-35-comma || || | -200 0 39 39 > || 50.445 || | || 39-35-comma || || | -200 0 39 39 > || 50.445 || | ||
|| 47-35-comma || || | -241 0 47 47 > || 91.562 || | || 47-35-comma || || | -241 0 47 47 > || 91.562 || | ||
|| Huntian 35-cycle comma || || | 277 0 -54 -54 > || 22.4605 || | || Huntian 35-cycle comma || || | [[tel:277 0 -54 -54|277 0 -54 -54]] > || 22.4605 || | ||
|| greenwoodma || 405 / 392 || | -3 4 1 -2 > || 56.482 || | || greenwoodma || 405 / 392 || | -3 4 1 -2 > || 56.482 || | ||
|| Harrison's comma || [[59049_57344|59049 / 57344]] || | -13 10 0 -1 > || 50.724 || | || Harrison's comma || [[59049_57344|59049 / 57344]] || | -13 10 0 -1 > || 50.724 || | ||
|| keega || 1029 / 1000 || | -3 1 -3 3 > || 49.492 || | || keega || 1029 / 1000 || | -3 1 -3 3 > || 49.492 || | ||
|| septimal quarter tone || [[36_35|36 / 35]] || | 2 2 -1 -1 > || 48.770 || | || septimal quarter tone || [[36_35|36 / 35]] || | 2 2 -1 -1 > || 48.770 || | ||
|| quarter tone comma || || | 49 50 -25 -25 > || 19.2595 || | || quarter tone comma || || | [[tel:49 50 -25 -25|49 50 -25 -25]] > || 19.2595 || | ||
|| cloudy || 16807 / 16384 || | -14 0 0 5 > || 44.130 || | || cloudy || 16807 / 16384 || | -14 0 0 5 > || 44.130 || | ||
|| Avicenna, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 || | || Avicenna, Avicenna's enharmonic diesis || 525 / 512 || | -9 1 2 1 > || 43.408 || | ||
| Line 166: | Line 133: | ||
|| 34-jubilismic comma || || | -33 0 -68 68 > || 10.829 || | || 34-jubilismic comma || || | -33 0 -68 68 > || 10.829 || | ||
|| tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 || | || tritonic diesis, jubilisma || [[50_49|50 / 49]] || | 1 0 2 -2 > || 34.976 || | ||
|| eric || 839808 / 823543 || | 7 8 0 -7 > || 33.859 || | || eric || [[tel:839808 / 823543|839808 / 823543]] || | 7 8 0 -7 > || 33.859 || | ||
|| senga || 686 / 675 || | 1 -3 -2 3 > || 27.985 || | || 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 || | || 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 || | || 44-septimal comma || || | -263 88 0 44 > || 0.294 || | ||
|| blackjackisma || | || blackjackisma || || | -10 7 8 -7 > || 22.413 || | ||
|| squalentine || 64827 / 64000 || | -9 3 -3 4 > || 22.227 || | || squalentine || 64827 / 64000 || | -9 3 -3 4 > || 22.227 || | ||
|| keema || 875 / 864 || | -5 -3 3 1 > || 21.902 || | || keema || 875 / 864 || | -5 -3 3 1 > || 21.902 || | ||
|| gariboh || 3125 / 3087 || | 0 -2 5 -3 > || 21.181 || | || gariboh || 3125 / 3087 || | 0 -2 5 -3 > || 21.181 || | ||
|| nuwell || 2430 / 2401 || | 1 5 1 -4 > || 20.785 || | || nuwell || 2430 / 2401 || | 1 5 1 -4 > || 20.785 || | ||
|| tolerma || 179200 / 177147 || | 10 -11 2 1 > || 19.948 || | || tolerma || [[tel:179200 / 177147|179200 / 177147]] || | 10 -11 2 1 > || 19.948 || | ||
|| mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 || | || mirwomo || 33075 / 32768 || | -15 3 2 2 > || 16.144 || | ||
|| trimyna || 50421 / 50000 || | -4 1 -5 5 > || 14.516 || | || trimyna || 50421 / 50000 || | -4 1 -5 5 > || 14.516 || | ||
| Line 182: | Line 149: | ||
|| octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 || | || octagar || 4000 / 3969 || | 5 -4 3 -2 > || 13.469 || | ||
|| orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 || | || orwellisma, orwell comma || 1728 / 1715 || | 6 3 -1 -3 > || 13.074 || | ||
|| quince || 823543 / 819200 || | -15 0 -2 7 > || 9.154 || | || quince || [[tel:823543 / 819200|823543 / 819200]] || | -15 0 -2 7 > || 9.154 || | ||
|| gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 || | || gamelisma || 1029 / 1024 || | -10 1 0 3 > || 8.433 || | ||
|| varunisma || 321489 / 320000 || | -9 8 -4 2 > || 8.037 || | || 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 || | || septimal kleisma, marvel comma || [[225_224|225 / 224]] || | -5 2 2 -1 > || 7.712 || | ||
|| dimcomp || 390625 / 388962 || | -1 -4 8 -4 > || 7.386 || | || dimcomp || [[tel:390625 / 388962|390625 / 388962]] || | -1 -4 8 -4 > || 7.386 || | ||
|| cataharry || 19683 / 19600 || | -4 9 -2 -2 > || 7.316 || | || cataharry || 19683 / 19600 || | -4 9 -2 -2 > || 7.316 || | ||
|| mirkwai || 16875 / 16807 || | 0 3 4 -5 > || 6.990 || | || mirkwai || 16875 / 16807 || | 0 3 4 -5 > || 6.990 || | ||
|| stearnsma || 118098 / 117649 || | 1 10 0 -6 > || 6.595 || | || stearnsma || [[tel:118098 / 117649|118098 / 117649]] || | 1 10 0 -6 > || 6.595 || | ||
|| hemimage || 10976 / 10935 || | 5 -7 -1 3 > || 6.479 || | || hemimage || 10976 / 10935 || | 5 -7 -1 3 > || 6.479 || | ||
|| hemimean || 3136 / 3125 || | 6 0 -5 2 > || 6.083 || | || hemimean || 3136 / 3125 || | 6 0 -5 2 > || 6.083 || | ||
|| hemifamity || 5120 / 5103 || | 10 -6 1 -1 > || 5.758 || | || hemifamity || 5120 / 5103 || | 10 -6 1 -1 > || 5.758 || | ||
|| linus || | || linus || || | [[tel:11 -10 -10 10|11 -10 -10 10]] > || 5.572 || | ||
|| porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 || | || porwell || 6144 / 6125 || | 11 1 -3 -2 > || 5.362 || | ||
|| garischisma || | || garischisma || || | 25 -14 0 -1 > || 3.804 || | ||
|| wadisma || | || wadisma || || | -26 -1 1 9 > || 3.792 || | ||
|| quasiorwellisma || | || quasiorwellisma || || | 22 -1 -10 1 > || 3.734 || | ||
|| horwell || 65625 / 65536 || | -16 1 5 1 > || 2.349 || | || horwell || 65625 / 65536 || | -16 1 5 1 > || 2.349 || | ||
|| meter || 703125 / 702464 || | -11 2 7 -3 > || 1.628 || | || meter || [[tel:703125 / 702464|703125 / 702464]] || | -11 2 7 -3 > || 1.628 || | ||
|| wizma || 420175 / 419904 || | -6 -8 2 5 > || 1.117 || | || wizma || [[tel:420175 / 419904|420175 / 419904]] || | -6 -8 2 5 > || 1.117 || | ||
|| breedsma || [[2401_2400|2401 / 2400]] || | -5 -1 -2 4 > || 0.721 || | || breedsma || [[2401_2400|2401 / 2400]] || | -5 -1 -2 4 > || 0.721 || | ||
|| ragisma || 4375 / 4374 || | -1 -7 4 1 > || 0.396 || | || ragisma || 4375 / 4374 || | -1 -7 4 1 > || 0.396 || | ||
|| akjaysma, 5\7 octave comma || | || akjaysma, 5\7 octave comma || || | 47 -7 -7 -7 > || 0.338 || | ||
|| landscape || 250047 / 250000 || | -4 6 -6 3 > || 0.325 || | || landscape || [[tel:250047 / 250000|250047 / 250000]] || | -4 6 -6 3 > || 0.325 || | ||
|| starscape || | || starscape || || | -4 17 1 -9 > || 0.116 || | ||
|| euzenius || | || euzenius || || | 3 -13 10 -2 > || 0.070 || | ||
|| termite || | || termite || || | 9 -28 37 -18 > || 1.072 * 10^-3 || | ||
|| neutrino || || | 1889 -2145 138 424 > || 1.636 * 10^-10 || | || neutrino || || | [[tel:1889 -2145 138 424|1889 -2145 138 424]] > || 1.636 * 10^-10 || | ||
|| [[218edo]] (stacked 7/4 and 10/9) comma || | || [[218edo]] (stacked 7/4 and 10/9) comma || || | [[tel:22 -32 16 -3|22 -32 16 -3]] > || 11.982 || | ||
==11-limit commas== | ==11-limit commas== | ||
| Line 215: | Line 182: | ||
|| 11-cycle chroma, 11-11-comma || || | -38 0 0 0 11 > || 64.497 || | || 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 major seventh prote, 35-11-comma || || | -121 0 0 0 35 > || 96.128 || | ||
|| 11-cycle schisma, 37-11-comma || || | 128 0 0 0 -37 > || 1.236 || | || 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 11-cycle comma || || | -83 0 0 0 24 > || 31.631 || | ||
|| Hunt flat 5 comma || 8192 / 8019 || | 13 -6 0 0 -1 > || 36.952 || | || Hunt flat 5 comma || 8192 / 8019 || | 13 -6 0 0 -1 > || 36.952 || | ||
|| sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 || | || sterno || 352 / 343 || | 5 0 0 -3 1 > || 44.840 || | ||
|| the Igs boson<span style="line-height: 1.5;">, 13-11-comma </span> || | || 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 || | || telepathma || 55 / 54 || | -1 -3 1 0 1 > || 31.767 || | ||
|| thuja comma || 163840 / 161051 || | 15 0 1 0 -5 > || 29.724 || | || thuja comma || [[tel:163840 / 161051|163840 / 161051]] || | 15 0 1 0 -5 > || 29.724 || | ||
|| sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 || | || sensmus || 1232 / 1215 || | 4 -5 -1 1 1 > || 24.055 || | ||
|| sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 || | || sevnothrush || 3168 / 3125 || | 5 2 -5 0 1 > || 23.659 || | ||
| Line 241: | Line 208: | ||
|| wizardharry || 4000 / 3993 || | 5 -1 3 0 -3 > || 3.032 || | || wizardharry || 4000 / 3993 || | 5 -1 3 0 -3 > || 3.032 || | ||
|| vishdel || 5632 / 5625 || | 9 -2 -4 0 1 > || 2.153 || | || vishdel || 5632 / 5625 || | 9 -2 -4 0 1 > || 2.153 || | ||
|| sesdecal || 234375 / 234256 || | -4 1 7 0 -4 > || 0.879 || | || sesdecal || [[tel:234375 / 234256|234375 / 234256]] || | -4 1 7 0 -4 > || 0.879 || | ||
|| hemigail || 43923 / 43904 || | -7 1 0 -3 4 > || 0.749 || | || hemigail || 43923 / 43904 || | -7 1 0 -3 4 > || 0.749 || | ||
|| lehmerisma || 3025 / 3024 || | -4 -3 2 -1 2 > || 0.572 || | || lehmerisma || 3025 / 3024 || | -4 -3 2 -1 2 > || 0.572 || | ||
|| kalisma, Gauss' comma || 9801 / 9800 || | -3 4 -2 -2 2 > || 0.177 || | || kalisma, Gauss' comma || 9801 / 9800 || | -3 4 -2 -2 2 > || 0.177 || | ||
|| odiheim || 151263 / 151250 || | -1 2 -4 5 -2 > || 0.149 || | || odiheim || [[tel:151263 / 151250|151263 / 151250]] || | -1 2 -4 5 -2 > || 0.149 || | ||
|| parimo || | || parimo || || | -1 -11 -1 0 6 > || 0.089 || | ||
|| ultimo || | || ultimo || || | -2 2 2 -7 4 > || 0.028 || | ||
==13-limit commas== | ==13-limit commas== | ||
| Line 254: | Line 221: | ||
|| <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> || | || <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 || | || 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 || | || wilsorma || 65 / 64 || | -6 0 1 0 0 1 > || 26.841 || | ||
|| winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 > || 26.432 || | || winmeanma || 66 / 65 || | 1 1 -1 0 1 -1 > || 26.432 || | ||
| Line 288: | Line 255: | ||
|| jacobin || 6656 / 6655 || | 9 0 -1 0 -3 1 > || 0.260 || | || jacobin || 6656 / 6655 || | 9 0 -1 0 -3 1 > || 0.260 || | ||
|| harmonisma || 10648 / 10647 || | 3 -2 0 -1 3 -2 > || 0.163 || | || harmonisma || 10648 / 10647 || | 3 -2 0 -1 3 -2 > || 0.163 || | ||
|| chalmersima || | || chalmersima || || | -6 6 -2 -1 -1 2 > || 0.014 || | ||
==17-limit commas== | ==17-limit commas== | ||
| Line 302: | Line 269: | ||
|| || 12376 / 12375 || | 3 -2 -3 1 -1 1 1 > || 0.140 || | || || 12376 / 12375 || | 3 -2 -3 1 -1 1 1 > || 0.140 || | ||
|| || 14400 / 14399 || | 6 2 2 -1 -2 0 -1 > || 0.120 || | || || 14400 / 14399 || | 6 2 2 -1 -2 0 -1 > || 0.120 || | ||
|| scintillisma || 194481 / 194480 || | -4 4 -1 4 -1 -1 -1 > || 0.009 || | || 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== | ==19-limit commas== | ||
||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||~ name(s) ||~ ratio ||~ monzo ||~ cents || | ||
|| Hunt 19-cycle comma || 131072 / 130321 || | [[tel/17 0 0 0 0 0 0 -4|17 0 0 0 0 0 0 -4]] > || 9.950 || | || 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 || | ||
|| <span style="font-size: 12.8000001907349px;">19-cycle meantone prima</span> || || | -174 0 0 0 0 0 0 41 > || 198.034 || | || <span style="font-size: 12.8000001907349px;">19-cycle meantone prima</span> || || | -174 0 0 0 0 0 0 41 > || 198.034 || | ||
|| <span style="font-size: 12.8000001907349px;">19-cycle meantone secunda</span> || || | -191 0 0 0 0 0 0 45 > || 188.086 || | || <span style="font-size: 12.8000001907349px;">19-cycle meantone secunda</span> || || | -191 0 0 0 0 0 0 45 > || 188.086 || | ||
| Line 316: | Line 283: | ||
|| go comma || 361 / 360 || | -3 -2 -1 0 0 0 0 2 > || 4.802 || | || 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 || | || Blumeyer comma || 2432 / 2431 || | 7 0 0 0 -1 -1 -1 1 > || 0.712 || | ||
|| || 165376 / 165375 || | 9 -3 -3 -2 0 0 1 1> || 0.010 || | || || [[tel:165376 / 165375|165376 / 165375]] || | 9 -3 -3 -2 0 0 1 1> || 0.010 || | ||
[[media type="custom" key="25699772"]]</pre></div> | [[media type="custom" key="25699772"]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
| Line 324: | Line 291: | ||
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 /> | 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 /> | <br /> | ||
For commas over 100 cents in size, see <a class="wiki_link" href="/Large%20commas">Large commas</a><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 /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><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:3:&lt;h1&gt; --><h1 id="toc1"><a name="List of commas, by prime limit"></a><!-- ws:end:WikiTextHeadingRule:3 -->List of commas, by prime limit</h1> | ||
| Line 354: | Line 321: | ||
<td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br /> | <td><a class="wiki_link" href="/Pythagorean%20comma">Pythagorean comma</a><br /> | ||
</td> | </td> | ||
<td>531441 / 524288<br /> | <td>[[tel:531441 / 524288|531441 / 524288]]<br /> | ||
</td> | </td> | ||
<td>| -19 12 &gt;<br /> | <td>| -19 12 &gt;<br /> | ||
| Line 374: | Line 341: | ||
<td><a class="wiki_link" href="/29-comma">29-comma</a><br /> | <td><a class="wiki_link" href="/29-comma">29-comma</a><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| 46 -29 &gt;<br /> | <td>| 46 -29 &gt;<br /> | ||
| Line 384: | Line 351: | ||
<td><a class="wiki_link" href="/41-comma">41-comma</a><br /> | <td><a class="wiki_link" href="/41-comma">41-comma</a><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 65 -41 &gt;<br /> | <td>| 65 -41 &gt;<br /> | ||
| Line 404: | Line 371: | ||
<td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br /> | <td><a class="wiki_link" href="/Mercator%27s%20comma">Mercator's comma</a>, 53-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -84 53 &gt;<br /> | <td>| -84 53 &gt;<br /> | ||
</td> | </td> | ||
<td>3.615<br /> | <td>3.615<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 620: | Line 567: | ||
<td>doublewide<br /> | <td>doublewide<br /> | ||
</td> | </td> | ||
<td>390625 / 373248<br /> | <td>[[tel:390625 / 373248|390625 / 373248]]<br /> | ||
</td> | </td> | ||
<td>| -9 -6 8 &gt;<br /> | <td>| -9 -6 8 &gt;<br /> | ||
| Line 630: | Line 577: | ||
<td>sevond<br /> | <td>sevond<br /> | ||
</td> | </td> | ||
<td>5000000 / 4782969<br /> | <td>[[tel:5000000 / 4782969|5000000 / 4782969]]<br /> | ||
</td> | </td> | ||
<td>| 6 -14 7 &gt;<br /> | <td>| 6 -14 7 &gt;<br /> | ||
| Line 640: | Line 587: | ||
<td>nusecond<br /> | <td>nusecond<br /> | ||
</td> | </td> | ||
<td>51018336 / 48828125<br /> | <td>[[tel:51018336 / 48828125|51018336 / 48828125]]<br /> | ||
</td> | </td> | ||
<td>| 5 13 -11 &gt;<br /> | <td>| 5 13 -11 &gt;<br /> | ||
| Line 672: | Line 619: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -51 -17 34 &gt;<br /> | ||
</td> | </td> | ||
<td>4.715<br /> | <td>4.715<br /> | ||
| Line 700: | Line 647: | ||
<td>passion<br /> | <td>passion<br /> | ||
</td> | </td> | ||
<td>262144 / 253125<br /> | <td>[[tel:262144 / 253125|262144 / 253125]]<br /> | ||
</td> | </td> | ||
<td>| 18 -4 -5 &gt;<br /> | <td>| 18 -4 -5 &gt;<br /> | ||
| Line 710: | Line 657: | ||
<td>shibboleth<br /> | <td>shibboleth<br /> | ||
</td> | </td> | ||
<td>1953125 / 1889568<br /> | <td>[[tel:1953125 / 1889568|1953125 / 1889568]]<br /> | ||
</td> | </td> | ||
<td>| -5 -10 9 &gt;<br /> | <td>| -5 -10 9 &gt;<br /> | ||
| Line 720: | Line 667: | ||
<td>mynic<br /> | <td>mynic<br /> | ||
</td> | </td> | ||
<td>10077696 / 9765625<br /> | <td>[[tel:10077696 / 9765625|10077696 / 9765625]]<br /> | ||
</td> | </td> | ||
<td>| 9 9 -10 &gt;<br /> | <td>| 9 9 -10 &gt;<br /> | ||
| Line 760: | Line 707: | ||
<td>immunity<br /> | <td>immunity<br /> | ||
</td> | </td> | ||
<td>1638400 / 1594323<br /> | <td>[[tel:1638400 / 1594323|1638400 / 1594323]]<br /> | ||
</td> | </td> | ||
<td>| 16 -13 2 &gt;<br /> | <td>| 16 -13 2 &gt;<br /> | ||
| Line 790: | Line 737: | ||
<td>sycamore<br /> | <td>sycamore<br /> | ||
</td> | </td> | ||
<td>48828125 / 47775744<br /> | <td>[[tel:48828125 / 47775744|48828125 / 47775744]]<br /> | ||
</td> | </td> | ||
<td>| -16 -6 11 &gt;<br /> | <td>| -16 -6 11 &gt;<br /> | ||
| Line 800: | Line 747: | ||
<td>fifive<br /> | <td>fifive<br /> | ||
</td> | </td> | ||
<td>9765625 / 9565938<br /> | <td>[[tel:9765625 / 9565938|9765625 / 9565938]]<br /> | ||
</td> | </td> | ||
<td>| -1 -14 10 &gt;<br /> | <td>| -1 -14 10 &gt;<br /> | ||
| Line 810: | Line 757: | ||
<td>unicorn<br /> | <td>unicorn<br /> | ||
</td> | </td> | ||
<td>1594323 / 1562500<br /> | <td>[[tel:1594323 / 1562500|1594323 / 1562500]]<br /> | ||
</td> | </td> | ||
<td>| -2 13 -8 &gt;<br /> | <td>| -2 13 -8 &gt;<br /> | ||
| Line 820: | Line 767: | ||
<td>valensixthtone<br /> | <td>valensixthtone<br /> | ||
</td> | </td> | ||
<td>1990656 / 1953125<br /> | <td>[[tel:1990656 / 1953125|1990656 / 1953125]]<br /> | ||
</td> | </td> | ||
<td>| 13 5 -9 &gt;<br /> | <td>| 13 5 -9 &gt;<br /> | ||
| Line 830: | Line 777: | ||
<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>34171875 / 33554432<br /> | <td>[[tel:34171875 / 33554432|34171875 / 33554432]]<br /> | ||
</td> | </td> | ||
<td>| -25 7 6 &gt;<br /> | <td>| -25 7 6 &gt;<br /> | ||
| Line 870: | Line 817: | ||
<td>maja<br /> | <td>maja<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -3 -23 17 &gt;<br /> | <td>| -3 -23 17 &gt;<br /> | ||
| Line 890: | Line 837: | ||
<td><a class="wiki_link" href="/Maquila%20family">maquila comma</a><br /> | <td><a class="wiki_link" href="/Maquila%20family">maquila comma</a><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>|49 -6 -17&gt;<br /> | <td>| 49 -6 -17 &gt;<br /> | ||
</td> | </td> | ||
<td>20.937<br /> | <td>20.937<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 920: | Line 857: | ||
<td>ditonma<br /> | <td>ditonma<br /> | ||
</td> | </td> | ||
<td>1220703125 / 1207959552<br /> | <td><a class="wiki_link" href="http://tel.wikispaces.com/1220703125">1220703125</a> / <a class="wiki_link" href="http://tel.wikispaces.com/1207959552">1207959552</a><br /> | ||
</td> | </td> | ||
<td>| -27 -2 13 &gt;<br /> | <td>| -27 -2 13 &gt;<br /> | ||
| Line 930: | Line 867: | ||
<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>67108864 / 66430125<br /> | <td>[[tel:67108864 / 66430125|67108864 / 66430125]]<br /> | ||
</td> | </td> | ||
<td>| 26 -12 -3 &gt;<br /> | <td>| 26 -12 -3 &gt;<br /> | ||
| Line 940: | Line 877: | ||
<td><a class="wiki_link" href="/Pental%20family">pental comma</a><br /> | <td><a class="wiki_link" href="/Pental%20family">pental comma</a><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>|-28 25 -5&gt;<br /> | <td>| -28 25 -5 &gt;<br /> | ||
</td> | </td> | ||
<td>17.306<br /> | <td>17.306<br /> | ||
| Line 980: | Line 917: | ||
<td><a class="wiki_link" href="/W%C3%BCrschmidt%20comma">Würschmidt comma</a><br /> | <td><a class="wiki_link" href="/W%C3%BCrschmidt%20comma">Würschmidt comma</a><br /> | ||
</td> | </td> | ||
<td>393216 / 390625<br /> | <td>[[tel:393216 / 390625|393216 / 390625]]<br /> | ||
</td> | </td> | ||
<td>| 17 1 -8 &gt;<br /> | <td>| 17 1 -8 &gt;<br /> | ||
| Line 990: | Line 927: | ||
<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>2109375 / 2097152<br /> | <td>[[tel:2109375 / 2097152|2109375 / 2097152]]<br /> | ||
</td> | </td> | ||
<td>| -21 3 7 &gt;<br /> | <td>| -21 3 7 &gt;<br /> | ||
| Line 1,020: | Line 957: | ||
<td>unidecma<br /> | <td>unidecma<br /> | ||
</td> | </td> | ||
<td>31381059609 / 31250000000<br /> | <td><a class="wiki_link" href="http://tel.wikispaces.com/31381059609">31381059609</a> / <a class="wiki_link" href="http://tel.wikispaces.com/31250000000">31250000000</a><br /> | ||
</td> | </td> | ||
<td>| -7 22 -12 &gt;<br /> | <td>| -7 22 -12 &gt;<br /> | ||
| Line 1,040: | Line 977: | ||
<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>1600000 / 1594323<br /> | <td>[[tel:1600000 / 1594323|1600000 / 1594323]]<br /> | ||
</td> | </td> | ||
<td>| 9 -13 5 &gt;<br /> | <td>| 9 -13 5 &gt;<br /> | ||
| Line 1,078: | Line 1,015: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>23-3/5-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 17 23 -23 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>59.750<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>34-3/5-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -25 -34 34 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>68.196<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>53-3/5-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 39 53 -53 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>71.012<br /> | ||
</td> | </td> | ||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><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> | ||
<tr> | <tr> | ||
<td> | <td>hexadecatone comma, 16-7-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 45 0 0 -16 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>98.7855<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>21-7-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| 59 0 0 -21 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>54.656<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Hunt 7-cycle comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 73 0 0 -26 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>10.526<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>German sixth comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -87 0 0 31 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>33.603<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>large deep red comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>6561 / 6272<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -7, 8, 0 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>77.988<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>36-7-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -101 0 0 36 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>77.737<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>47-7-comma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/132%200%200%200%20-47">132 0 0 0 -47</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>65.182<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>slendro integer cents comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/1127%200%200%20-400">1127 0 0 -400</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>69.637<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>29-7/5-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -14 0 -29 29 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>92.854<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>31-7/5-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -15 0 -31 31 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>57.878<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>33-7/5-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| -16 | <td>| -16 0 -33 33 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>22.902<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>35-7/5-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/18%200%2035%20-35">18 0 35 -35</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>12.073<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>37-7/5-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/19%200%2037%20-37">19 0 37 -37</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>47.049<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>39-7/5-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/20%200%2039%20-39">20 0 39 -39</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>82.0245<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>5-21-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| 22 -5 0 -5 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>46.0955<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>18-21-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -79 18 0 18 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>74.056<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>23-21-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -101 23 0 23 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>27.961<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Huntian 21-cycle comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/123%20-28%200%20-28">123 -28 0 -28</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>18.135<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>33-21-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/145%20-33%200%20-33">145 -33 0 -33</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>64.230<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>38-21-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/167%20-38%200%20-38">167 -38 0 -38</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td><a class="wiki_link" href="http://tel.wikispaces.com/110.3255">110.3255</a><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>43-21-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/189%20-43%200%20-43">189 -43 0 -43</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>156.421<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>7-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 36 0 -7 -7 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>114.023<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>8-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -41 0 8 8 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>41.117<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>15-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/77%200%20-15%20-15">77 0 -15 -15</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>72.906<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>23-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/118%200%20-23%20-23">118 0 -23 -23</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>31.789<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>31-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -159 0 31 31 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>9.328<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>39-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -200 0 39 39 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>50.445<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>47-35-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -241 0 47 47 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>91.562<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Huntian 35-cycle comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/277%200%20-54%20-54">277 0 -54 -54</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>22.4605<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>greenwoodma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>405 / 392<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -3 4 1 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>56.482<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
< | <td>Harrison's comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/59049_57344">59049 / 57344</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| -13 10 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>50.724<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>keega<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1029 / 1000<br /> | ||
</td> | </td> | ||
<td>| | <td>| -3 1 -3 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>49.492<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>septimal quarter tone<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/36_35">36 / 35</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| 2 2 -1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>48.770<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>quarter tone comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/49%2050%20-25%20-25">49 50 -25 -25</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>19.2595<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>cloudy<br /> | ||
</td> | </td> | ||
<td> | <td>16807 / 16384<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -14 0 0 5 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>44.130<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Avicenna, Avicenna's enharmonic diesis<br /> | ||
</td> | </td> | ||
<td><br /> | <td>525 / 512<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -9 1 2 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>43.408<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>slendro diesis<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/49_48">49 / 48</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| -4 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>35.597<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>slendro | <td>slendro 34-comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -137 -34 0 68 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>13.692<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>34-jubilismic comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -33 0 -68 68 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>10.829<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>tritonic diesis, jubilisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/50_49">50 / 49</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 0 2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>34.976<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>eric<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:839808 / 823543|839808 / 823543]]<br /> | ||
</td> | </td> | ||
<td>| | <td>| 7 8 0 -7 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>33.859<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>senga<br /> | ||
</td> | </td> | ||
<td><br /> | <td>686 / 675<br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 -3 -2 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>27.985<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>septimal comma, Archytas' comma, Leipziger Komma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/64_63">64 / 63</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| 6 -2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>27.264<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>44-septimal comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -263 88 0 44 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.294<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>blackjackisma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -10 7 8 -7 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>22.413<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>squalentine<br /> | ||
</td> | </td> | ||
<td><br /> | <td>64827 / 64000<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -9 3 -3 4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>22.227<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>keema<br /> | ||
</td> | </td> | ||
<td><br /> | <td>875 / 864<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -5 -3 3 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>21.902<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>gariboh<br /> | ||
</td> | </td> | ||
<td><br /> | <td>3125 / 3087<br /> | ||
</td> | </td> | ||
<td>| | <td>| 0 -2 5 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>21.181<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>nuwell<br /> | ||
</td> | </td> | ||
<td><br /> | <td>2430 / 2401<br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 5 1 -4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>20.785<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>tolerma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:179200 / 177147|179200 / 177147]]<br /> | ||
</td> | </td> | ||
<td>| | <td>| 10 -11 2 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>19.948<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>mirwomo<br /> | ||
</td> | </td> | ||
<td><br /> | <td>33075 / 32768<br /> | ||
</td> | </td> | ||
<td>| | <td>| -15 3 2 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>16.144<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>trimyna<br /> | ||
</td> | </td> | ||
<td><br /> | <td>50421 / 50000<br /> | ||
</td> | </td> | ||
<td>| | <td>| -4 1 -5 5 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>14.516<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>sensamagic<br /> | ||
</td> | </td> | ||
<td><br /> | <td>245 / 243<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 0 -5 1 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>14.191<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>septimal semicomma, starling comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td><a class="wiki_link" href="/126_125">126 / 125</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 2 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>13.795<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>octagar<br /> | ||
</td> | </td> | ||
<td><br /> | <td>4000 / 3969<br /> | ||
</td> | </td> | ||
<td>| | <td>| 5 -4 3 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>13.469<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>orwellisma, orwell comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1728 / 1715<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 6 3 -1 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>13.074<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>quince<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:823543 / 819200|823543 / 819200]]<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -15 0 -2 7 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>9.154<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>gamelisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1029 / 1024<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -10 1 0 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>8.433<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>varunisma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:321489 / 320000|321489 / 320000]]<br /> | ||
</td> | </td> | ||
<td>| | <td>| -9 8 -4 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>8.037<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>septimal kleisma, marvel comma<br /> | ||
</td> | </td> | ||
<td> | <td><a class="wiki_link" href="/225_224">225 / 224</a><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -5 2 2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>7.712<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>dimcomp<br /> | ||
</td> | </td> | ||
<td> | <td>[[tel:390625 / 388962|390625 / 388962]]<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -1 -4 8 -4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>7.386<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>cataharry<br /> | ||
</td> | </td> | ||
<td> | <td>19683 / 19600<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -4 9 -2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>7.316<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>mirkwai<br /> | ||
</td> | </td> | ||
<td> | <td>16875 / 16807<br /> | ||
</td> | </td> | ||
<td>| | <td>| 0 3 4 -5 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>6.990<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>stearnsma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:118098 / 117649|118098 / 117649]]<br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 10 0 -6 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>6.595<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>hemimage<br /> | ||
</td> | </td> | ||
<td> | <td>10976 / 10935<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 5 -7 -1 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>6.479<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>hemimean<br /> | ||
</td> | </td> | ||
<td> | <td>3136 / 3125<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 6 0 -5 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>6.083<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>hemifamity<br /> | ||
</td> | </td> | ||
<td> | <td>5120 / 5103<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 10 -6 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>5.758<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>linus<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/11%20-10%20-10%2010">11 -10 -10 10</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>5.572<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>porwell<br /> | ||
</td> | </td> | ||
<td><br /> | <td>6144 / 6125<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 11 1 -3 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>5.362<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>garischisma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| 25 -14 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.804<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>wadisma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -26 -1 1 9 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.792<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>quasiorwellisma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| 1 - | <td>| 22 -1 -10 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.734<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>horwell<br /> | ||
</td> | </td> | ||
<td> | <td>65625 / 65536<br /> | ||
</td> | </td> | ||
<td>| | <td>| -16 1 5 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.349<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>meter<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:703125 / 702464|703125 / 702464]]<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -11 2 7 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.628<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>wizma<br /> | ||
</td> | </td> | ||
<td> | <td>[[tel:420175 / 419904|420175 / 419904]]<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -6 -8 2 5 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.117<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>breedsma<br /> | ||
</td> | </td> | ||
<td> | <td><a class="wiki_link" href="/2401_2400">2401 / 2400</a><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -5 -1 -2 4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.721<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>ragisma<br /> | ||
</td> | </td> | ||
<td> | <td>4375 / 4374<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -1 -7 4 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.396<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>akjaysma, 5\7 octave comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| 47 -7 -7 -7 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.338<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>landscape<br /> | ||
</td> | </td> | ||
<td> | <td>[[tel:250047 / 250000|250047 / 250000]]<br /> | ||
</td> | </td> | ||
<td>| | <td>| -4 6 -6 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.325<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>starscape<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -4 17 1 -9 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.116<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>euzenius<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 3 -13 10 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.070<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>termite<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| 9 -28 37 -18 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.072 * 10^-3<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>neutrino<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/1889%20-2145%20138%20424">1889 -2145 138 424</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.636 * 10^-10<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/218edo">218edo</a> (stacked 7/4 and 10/9) comma<br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/22%20-32%2016%20-3">22 -32 16 -3</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>11.982<br /> | ||
</td> | </td> | ||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><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> | ||
<tr> | <tr> | ||
<td> | <td>11-cycle chroma, 11-11-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -38 0 0 0 11 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>64.497<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>11-cycle major seventh prote, 35-11-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -121 0 0 0 35 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>96.128<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>11-cycle schisma, 37-11-comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/128%200%200%200%20-37">128 0 0 0 -37</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.236<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Hunt 11-cycle comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -83 0 0 0 24 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>31.631<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Hunt flat 5 comma<br /> | ||
</td> | </td> | ||
<td> | <td>8192 / 8019<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 13 -6 0 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>36.952<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>sterno<br /> | ||
</td> | </td> | ||
<td> | <td>352 / 343<br /> | ||
</td> | </td> | ||
<td>| | <td>| 5 0 0 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>44.840<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>the Igs boson<span style="line-height: 1.5;">, 13-11-comma</span><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| <a class="wiki_link" href="http://tel.wikispaces.com/45%200%200%200%20-13">45 0 0 0 -13</a> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>32.867<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>telepathma<br /> | ||
</td> | </td> | ||
<td> | <td>55 / 54<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -1 -3 1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>31.767<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>thuja comma<br /> | ||
</td> | </td> | ||
<td> | <td>[[tel:163840 / 161051|163840 / 161051]]<br /> | ||
</td> | </td> | ||
<td>| 0 | <td>| 15 0 1 0 -5 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>29.724<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>sensmus<br /> | ||
</td> | </td> | ||
<td> | <td>1232 / 1215<br /> | ||
</td> | </td> | ||
<td>| 1 | <td>| 4 -5 -1 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>24.055<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>sevnothrush<br /> | ||
</td> | </td> | ||
<td> | <td>3168 / 3125<br /> | ||
</td> | </td> | ||
<td>| 5 - | <td>| 5 2 -5 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>23.659<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>cassacot<br /> | ||
</td> | </td> | ||
<td> | <td>245 / 242<br /> | ||
</td> | </td> | ||
<td>| | <td>| -1 0 1 2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>21.330<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/mothwellsmic%20triad">mothwellsma</a><br /> | ||
</td> | </td> | ||
<td> | <td>99 / 98<br /> | ||
</td> | </td> | ||
<td>| | <td>| -1 2 0 -2 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>17.576<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/ptolemismic%20triad">ptolemisma</a><br /> | ||
</td> | </td> | ||
<td> | <td><a class="wiki_link" href="/100_99">100 / 99</a><br /> | ||
</td> | </td> | ||
<td>| | <td>| 2 -2 2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>17.399<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>hemimin<br /> | ||
</td> | </td> | ||
<td> | <td>1344 / 1331<br /> | ||
</td> | </td> | ||
<td>| | <td>| 6 1 0 1 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>16.827<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>biyatisma<br /> | ||
</td> | </td> | ||
<td> | <td>121 / 120<br /> | ||
</td> | </td> | ||
<td>| | <td>| -3 -1 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>14.367<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>aphrowe<br /> | ||
</td> | </td> | ||
<td> | <td>1331 / 1323<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 0 -3 0 -2 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>10.437<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/valinorsmic%20chords">valinorsma</a><br /> | ||
</td> | </td> | ||
<td> | <td>176 / 175<br /> | ||
</td> | </td> | ||
<td>| | <td>| 4 0 -2 -1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>9.865<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/pentacircle%20comma">pentacircle</a><br /> | ||
</td> | </td> | ||
<td> | <td>896 / 891<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 7 -4 0 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>9.688<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>orgonisma<br /> | ||
</td> | </td> | ||
<td> | <td>65536 / 65219<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 16 0 0 -2 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>8.394<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/rastmic%20chords">rastma</a><br /> | ||
</td> | </td> | ||
<td> | <td>243 / 242<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -1 5 0 0 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>7.139<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>myhemiwell<br /> | ||
</td> | </td> | ||
<td> | <td>3388 / 3375<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 2 -3 -3 1 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>6.656<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/keenanismic%20chords">keenanisma</a><br /> | ||
</td> | </td> | ||
<td> | <td><a class="wiki_link" href="/385_384">385 / 384</a><br /> | ||
</td> | </td> | ||
<td>| -1 | <td>| -7 -1 1 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>4.503<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/werckismic%20chords">werckisma</a><br /> | ||
</td> | </td> | ||
<td> | <td>441 / 440<br /> | ||
</td> | </td> | ||
<td>| | <td>| -3 2 -1 2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.930<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>moctdel<br /> | ||
</td> | </td> | ||
<td> | <td>1375 / 1372<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -2 0 3 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.781<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/swetismic%20chords">swetisma</a><br /> | ||
</td> | </td> | ||
<td> | <td>540 / 539<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 2 3 1 -2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.209<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>wizardharry<br /> | ||
</td> | </td> | ||
<td> | <td>4000 / 3993<br /> | ||
</td> | </td> | ||
<td>| 3 - | <td>| 5 -1 3 0 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>3.032<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>vishdel<br /> | ||
</td> | </td> | ||
<td> | <td>5632 / 5625<br /> | ||
</td> | </td> | ||
<td>| 9 - | <td>| 9 -2 -4 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.153<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>sesdecal<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:234375 / 234256|234375 / 234256]]<br /> | ||
</td> | </td> | ||
<td>| | <td>| -4 1 7 0 -4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.879<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>hemigail<br /> | ||
</td> | </td> | ||
<td> | <td>43923 / 43904<br /> | ||
</td> | </td> | ||
<td>| | <td>| -7 1 0 -3 4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.749<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | |||
<td>lehmerisma<br /> | |||
</td> | |||
<td>3025 / 3024<br /> | |||
</td> | |||
<td>| -4 -3 2 -1 2 &gt;<br /> | |||
</td> | |||
<tr> | <td>0.572<br /> | ||
< | </td> | ||
</ | |||
< | |||
</ | |||
< | |||
</ | |||
< | |||
</ | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>kalisma, Gauss' comma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>9801 / 9800<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -3 4 -2 -2 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.177<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>odiheim<br /> | ||
</td> | </td> | ||
<td><br /> | <td>[[tel:151263 / 151250|151263 / 151250]]<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -1 2 -4 5 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.149<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>parimo<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -1 -11 -1 0 6 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.089<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>ultimo<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -2 2 2 -7 4 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.028<br /> | ||
</td> | </td> | ||
</tr> | |||
</table> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h2&gt; --><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> | ||
<tr> | <tr> | ||
<td>Hunt | <td>Hunt 13-cycle comma<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td>| -37 0 0 0 0 0 10 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>5.277<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><span style="font-size: 12.8000001907349px;">silver half cents comma</span><br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| | <td><span style="font-size: 12.8000001907349px;">| -8881 0 0 0 2400 &gt;</span><br /> | ||
</td> | </td> | ||
<td> | <td><span style="font-size: 12.8000001907349px;">66.389</span><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Hunt minor submediant comma<br /> | ||
</td> | </td> | ||
<td> | <td>1053 / 1024<br /> | ||
</td> | </td> | ||
<td>| | <td>| -10 4 0 0 0 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>48.348<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>astburyp<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| - | <td>| -19 -2 0 0 0 6 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>39.255<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>wilsorma<br /> | ||
</td> | </td> | ||
<td> | <td>65 / 64<br /> | ||
</td> | </td> | ||
<td>| | <td>| -6 0 1 0 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>26.841<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>winmeanma<br /> | ||
</td> | </td> | ||
<td> | <td>66 / 65<br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 1 -1 0 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>26.432<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>negustma<br /> | ||
</td> | </td> | ||
<td> | <td>78 / 77<br /> | ||
</td> | </td> | ||
<td>| | <td>| 1 1 0 -1 -1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>22.229<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>superleap<br /> | ||
</td> | </td> | ||
<td> | <td>91 / 90<br /> | ||
</td> | </td> | ||
<td>| -1 0 1 | <td>| -1 -2 -1 1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>19.130<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>animist<br /> | ||
</td> | </td> | ||
<td> | <td>105 / 104<br /> | ||
</td> | </td> | ||
<td>| -1 | <td>| -3 1 1 1 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>16.567<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>secorian<br /> | ||
</td> | </td> | ||
<td> | <td>28672 / 28431<br /> | ||
</td> | </td> | ||
<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> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>14.613<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>mosaic<br /> | ||
</td> | </td> | ||
<td> | <td>3159 / 3136<br /> | ||
</td> | </td> | ||
<td>| 6 | <td>|-6 5 0 -2 0 1&gt;<br /> | ||
</td> | </td> | ||
<td> | <td>12.651<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>gassorma<br /> | ||
</td> | </td> | ||
<td> | <td>275 / 273<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 0 -1 2 -1 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>12.637<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/grossma">grossma</a><br /> | ||
</td> | </td> | ||
<td> | <td>144 / 143<br /> | ||
</td> | </td> | ||
<td>| 0 - | <td>| 4 2 0 0 -1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>12.064<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>buzurgisma, dhanvantarisma<br /> | ||
</td> | </td> | ||
<td> | <td>169 / 168<br /> | ||
</td> | </td> | ||
<td>| | <td>| -3 -1 0 -1 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>10.274<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>catadictma<br /> | ||
</td> | </td> | ||
<td> | <td>1287 / 1280<br /> | ||
</td> | </td> | ||
<td>| | <td>| -8 2 -1 0 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td>9. | <td>9.442<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/mynucumic%20chords">mynucuma</a><br /> | ||
</td> | </td> | ||
<td> | <td>196 / 195<br /> | ||
</td> | </td> | ||
<td>| | <td>| 2 -1 -1 2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td>8. | <td>8.855<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/huntmic%20chords">huntma</a><br /> | ||
</td> | </td> | ||
<td> | <td>640 / 637<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 7 0 1 -2 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>8.134<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/threedie">threedie</a><br /> | ||
</td> | </td> | ||
<td> | <td>2197 / 2187<br /> | ||
</td> | </td> | ||
<td>| | <td>| 0 -7 0 0 0 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>7.897<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/kestrel%20chords">kestrel comma</a><br /> | ||
</td> | </td> | ||
<td> | <td>1188 / 1183<br /> | ||
</td> | </td> | ||
<td>| | <td>| 2 3 0 -1 1 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>7.302<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/marveltwin">marveltwin</a><br /> | ||
</td> | </td> | ||
<td> | <td>325 / 324<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -2 -4 2 0 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>5.335<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/ratwolf%20triad">ratwolfsma</a><br /> | ||
</td> | </td> | ||
<td> | <td>351 / 350<br /> | ||
</td> | </td> | ||
<td>| -2 0 | <td>| -1 3 -2 -1 0 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>4.939<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/ | <td><a class="wiki_link" href="/minthmic%20chords">minthma</a><br /> | ||
</td> | </td> | ||
<td> | <td>352 / 351<br /> | ||
</td> | </td> | ||
<td>| | <td>| 5 -3 0 0 1 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>4.925<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/gentle%20chords">gentle comma</a><br /> | ||
</td> | </td> | ||
<td> | <td>364 / 363<br /> | ||
</td> | </td> | ||
<td>| | <td>| 2 -1 0 1 -2 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>4.763<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/cuthbert%20triad">cuthbert</a><br /> | ||
</td> | </td> | ||
<td> | <td>847 / 845<br /> | ||
</td> | </td> | ||
<td>| | <td>| 0 0 -1 1 2 -2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>4.093<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>tunbarsma<br /> | ||
</td> | </td> | ||
<td> | <td>625 / 624<br /> | ||
</td> | </td> | ||
<td>| -4 1 | <td>| -4 -1 4 0 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.772<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/The%20Archipelago">island comma</a><br /> | ||
</td> | </td> | ||
<td> | <td>676 / 675<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 2 -3 -2 0 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.563<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/squbemic%20chords">squbema</a><br /> | ||
</td> | </td> | ||
<td> | <td>729 / 728<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -3 6 0 -1 0 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.376<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/petrmic%20triad">petrma</a><br /> | ||
</td> | </td> | ||
<td> | <td>2200 / 2197<br /> | ||
</td> | </td> | ||
<td>| | <td>| 3 0 2 0 1 -3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.362<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/nicolic%20tetrad">nicola</a><br /> | ||
</td> | </td> | ||
<td> | <td>1575 / 1573<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 0 2 2 1 -2 -1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>2.200<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td><a class="wiki_link" href="/sinbadmic%20tetrad">sinbadma</a><br /> | ||
</td> | </td> | ||
<td> | <td>1001 / 1000<br /> | ||
</td> | </td> | ||
<td>| -1 | <td>| -3 0 -3 1 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.730<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>cantonisma<br /> | ||
</td> | </td> | ||
<td> | <td>10985 / 10976<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -5 0 1 -3 0 3 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.419<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>lummic<br /> | ||
</td> | </td> | ||
<td><br /> | <td>1716 / 1715<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 2 1 -1 -3 1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>1.009<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>ibnsinma<br /> | ||
</td> | </td> | ||
<td><br /> | <td>2080 / 2079<br /> | ||
</td> | </td> | ||
<td> | <td>| 5 -3 1 -1 -1 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.833<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>schismina<br /> | ||
</td> | </td> | ||
<td> | <td>4096 / 4095<br /> | ||
</td> | </td> | ||
<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> &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.423<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>leprechaun comma<br /> | ||
</td> | </td> | ||
<td> | <td>4225 / 4224<br /> | ||
</td> | </td> | ||
<td>| - | <td>| -7 -1 2 0 -1 2 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.410<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>jacobin<br /> | ||
</td> | </td> | ||
<td> | <td>6656 / 6655<br /> | ||
</td> | </td> | ||
<td>| - | <td>| 9 0 -1 0 -3 1 &gt;<br /> | ||
</td> | </td> | ||
<td> | <td>0.260<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>harmonisma<br /> | |||
<td>harmonisma<br /> | |||
</td> | </td> | ||
<td>10648 / 10647<br /> | <td>10648 / 10647<br /> | ||
| Line 3,021: | Line 2,658: | ||
<td>chalmersima<br /> | <td>chalmersima<br /> | ||
</td> | </td> | ||
<td> | <td><br /> | ||
</td> | </td> | ||
<td>| -6 6 -2 -1 -1 2 &gt;<br /> | <td>| -6 6 -2 -1 -1 2 &gt;<br /> | ||
| Line 3,148: | Line 2,785: | ||
<td>scintillisma<br /> | <td>scintillisma<br /> | ||
</td> | </td> | ||
<td>194481 / 194480<br /> | <td>[[tel:194481 / 194480|194481 / 194480]]<br /> | ||
</td> | </td> | ||
<td>| -4 4 -1 4 -1 -1 -1 &gt;<br /> | <td>| -4 4 -1 4 -1 -1 -1 &gt;<br /> | ||
| Line 3,156: | Line 2,793: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>Septendecimal Integer Cents comma<br /> | ||
</td> | </td> | ||
<td>289 / 288<br /> | <td>289 / 288<br /> | ||
</td> | </td> | ||
<td>| -5 -2 0 0 0 0 2<br /> | <td>| -5 -2 0 0 0 0 2 &gt;<br /> | ||
</td> | </td> | ||
<td>6.001<br /> | <td>6.001<br /> | ||
| Line 3,185: | Line 2,822: | ||
<td>Hunt 19-cycle comma<br /> | <td>Hunt 19-cycle comma<br /> | ||
</td> | </td> | ||
<td>131072 / 130321<br /> | <td>[[tel:131072 / 130321|131072 / 130321]]<br /> | ||
</td> | </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> &gt;<br /> | <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> &gt;<br /> | ||
| Line 3,275: | Line 2,912: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>165376 / 165375<br /> | <td>[[tel:165376 / 165375|165376 / 165375]]<br /> | ||
</td> | </td> | ||
<td>| 9 -3 -3 -2 0 0 1 1&gt;<br /> | <td>| 9 -3 -3 -2 0 0 1 1&gt;<br /> | ||