Medium comma: Difference between revisions
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→5-limit commas: link sycamore |
m lc monzo |
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| Line 18: | Line 18: | ||
|sw2 | |sw2 | ||
|[[256/243|256 / 243]] | |[[256/243|256 / 243]] | ||
|{{ | |{{monzo| 8 -5 }} | ||
|90.225 | |90.225 | ||
|- | |- | ||
| Line 25: | Line 25: | ||
|ssw3 | |ssw3 | ||
|134217728 / 129140163 | |134217728 / 129140163 | ||
|{{ | |{{monzo| 27 -17 }} | ||
|66.765 | |66.765 | ||
|- | |- | ||
| Line 32: | Line 32: | ||
|w-29 | |w-29 | ||
|70368744177664 / 68630377364883 | |70368744177664 / 68630377364883 | ||
|{{ | |{{monzo| 46 -29 }} | ||
|43.305 | |43.305 | ||
|- | |- | ||
| Line 39: | Line 39: | ||
|w-70 | |w-70 | ||
| | | | ||
|{{ | |{{monzo| 111 -70 }} | ||
|63.15 | |63.15 | ||
|- | |- | ||
| Line 46: | Line 46: | ||
|w-77 | |w-77 | ||
| | | | ||
|{{ | |{{monzo| -122 77 }} | ||
|50.535 | |50.535 | ||
|} | |} | ||
| Line 61: | Line 61: | ||
|LLyy-2 | |LLyy-2 | ||
|4428675 / 4194304 | |4428675 / 4194304 | ||
|{{ | |{{monzo| -22 11 2 }} | ||
|94.132 | |94.132 | ||
|- | |- | ||
| Line 68: | Line 68: | ||
|Ly1 | |Ly1 | ||
|[[135/128|135 / 128]] | |[[135/128|135 / 128]] | ||
|{{ | |{{monzo| -7 3 1 }} | ||
|92.179 | |92.179 | ||
|- | |- | ||
| Line 75: | Line 75: | ||
|ssg3 | |ssg3 | ||
|8388608 / 7971615 | |8388608 / 7971615 | ||
|{{ | |{{monzo| 23 -13 -1 }} | ||
|88.271 | |88.271 | ||
|- | |- | ||
| Line 82: | Line 82: | ||
|sy<sup>13</sup>-2 | |sy<sup>13</sup>-2 | ||
|1220703125 / 1162261467 | |1220703125 / 1162261467 | ||
|{{ | |{{monzo| 0 -19 13 }} | ||
|84.933 | |84.933 | ||
|- | |- | ||
| Line 89: | Line 89: | ||
|g<sup>5</sup>2 | |g<sup>5</sup>2 | ||
|6561 / 6250 | |6561 / 6250 | ||
|{{ | |{{monzo| -1 8 -5 }} | ||
|84.071 | |84.071 | ||
|- | |- | ||
| Line 96: | Line 96: | ||
|y<sup>8</sup>-2 | |y<sup>8</sup>-2 | ||
|390625 / 373248 | |390625 / 373248 | ||
|{{ | |{{monzo| -9 -6 8 }} | ||
|78.78 | |78.78 | ||
|- | |- | ||
| Line 103: | Line 103: | ||
|sy<sup>7</sup>1 | |sy<sup>7</sup>1 | ||
|5000000 / 4782969 | |5000000 / 4782969 | ||
|{{ | |{{monzo| 6 -14 7 }} | ||
|76.826 | |76.826 | ||
|- | |- | ||
| Line 110: | Line 110: | ||
|g<sup>11</sup>3 | |g<sup>11</sup>3 | ||
|51018336 / 48828125 | |51018336 / 48828125 | ||
|{{ | |{{monzo| 5 13 -11 }} | ||
|75.964 | |75.964 | ||
|- | |- | ||
| Line 117: | Line 117: | ||
|L<sup>3</sup>y<sup>4</sup>-3 | |L<sup>3</sup>y<sup>4</sup>-3 | ||
|8968066875 / 8589934592 | |8968066875 / 8589934592 | ||
|{{ | |{{monzo| -33 15 4 }} | ||
|74.580 | |74.580 | ||
|- | |- | ||
| Line 124: | Line 124: | ||
|Ly<sup>3</sup>-2 | |Ly<sup>3</sup>-2 | ||
|273375 / 262144 | |273375 / 262144 | ||
|{{ | |{{monzo| -18 7 3 }} | ||
|72.626 | |72.626 | ||
|- | |- | ||
| Line 131: | Line 131: | ||
|yy1 | |yy1 | ||
|[[25/24|25 / 24]] | |[[25/24|25 / 24]] | ||
|{{ | |{{monzo| -3 -1 2 }} | ||
|70.672 | |70.672 | ||
|- | |- | ||
| Line 138: | Line 138: | ||
|sy2 | |sy2 | ||
|20480 / 19683 | |20480 / 19683 | ||
|{{ | |{{monzo| 12 -9 1 }} | ||
|68.719 | |68.719 | ||
|- | |- | ||
| Line 145: | Line 145: | ||
|g<sup>4</sup>2 | |g<sup>4</sup>2 | ||
|[[648/625|648 / 625]] | |[[648/625|648 / 625]] | ||
|{{ | |{{monzo| 3 4 -4 }} | ||
|62.565 | |62.565 | ||
|- | |- | ||
| Line 152: | Line 152: | ||
|sg<sup>5</sup>3 | |sg<sup>5</sup>3 | ||
|262144 / 253125 | |262144 / 253125 | ||
|{{ | |{{monzo| 18 -4 -5 }} | ||
|60.611 | |60.611 | ||
|- | |- | ||
| Line 159: | Line 159: | ||
|y<sup>9</sup>-2 | |y<sup>9</sup>-2 | ||
|1953125 / 1889568 | |1953125 / 1889568 | ||
|{{ | |{{monzo| -5 -10 9 }} | ||
|57.273 | |57.273 | ||
|- | |- | ||
| Line 166: | Line 166: | ||
|g<sup>10</sup>3 | |g<sup>10</sup>3 | ||
|10077696 / 9765625 | |10077696 / 9765625 | ||
|{{ | |{{monzo| 9 9 -10 }} | ||
|54.458 | |54.458 | ||
|- | |- | ||
| Line 173: | Line 173: | ||
|LLy<sup>5</sup>-3 | |LLy<sup>5</sup>-3 | ||
|553584375 / 536870912 | |553584375 / 536870912 | ||
|{{ | |{{monzo| -29 11 5 }} | ||
|53.074 | |53.074 | ||
|- | |- | ||
| Line 180: | Line 180: | ||
|Ly<sup>4</sup>-2 | |Ly<sup>4</sup>-2 | ||
|16875 / 16384 | |16875 / 16384 | ||
|{{ | |{{monzo| -14 3 4 }} | ||
|51.120 | |51.120 | ||
|- | |- | ||
| Line 187: | Line 187: | ||
|y<sup>3</sup>1 | |y<sup>3</sup>1 | ||
|[[250/243|250 / 243]] | |[[250/243|250 / 243]] | ||
|{{ | |{{monzo| 1 -5 3 }} | ||
|49.166 | |49.166 | ||
|- | |- | ||
| Line 194: | Line 194: | ||
|Lg<sup>15</sup>3 | |Lg<sup>15</sup>3 | ||
|31381059609 / 30517578125 | |31381059609 / 30517578125 | ||
|{{ | |{{monzo| 0 22 -15 }} | ||
|48.304 | |48.304 | ||
|- | |- | ||
| Line 201: | Line 201: | ||
|ssyy2 | |ssyy2 | ||
|1638400 / 1594323 | |1638400 / 1594323 | ||
|{{ | |{{monzo| 16 -13 2 }} | ||
|47.212 | |47.212 | ||
|- | |- | ||
| Line 208: | Line 208: | ||
|LLg-2 | |LLg-2 | ||
|43046721 / 41943040 | |43046721 / 41943040 | ||
|{{ | |{{monzo| -23 16 -1 }} | ||
|44.966 | |44.966 | ||
|- | |- | ||
| Line 215: | Line 215: | ||
|g<sup>3</sup>2 | |g<sup>3</sup>2 | ||
|[[128/125|128 / 125]] | |[[128/125|128 / 125]] | ||
|{{ | |{{monzo| 7 0 -3 }} | ||
|41.059 | |41.059 | ||
|- | |- | ||
| Line 222: | Line 222: | ||
|LLy<sup>12</sup>-4 | |LLy<sup>12</sup>-4 | ||
|2197265625 / 2147483648 | |2197265625 / 2147483648 | ||
|{{ | |{{monzo| -31 2 12 }} | ||
|39.675 | |39.675 | ||
|- | |- | ||
| Line 229: | Line 229: | ||
|Ly<sup>11</sup>-3 | |Ly<sup>11</sup>-3 | ||
|48828125 / 47775744 | |48828125 / 47775744 | ||
|{{ | |{{monzo| -16 -6 11 }} | ||
|37.721 | |37.721 | ||
|- | |- | ||
| Line 236: | Line 236: | ||
|LLg<sup>7</sup>1 | |LLg<sup>7</sup>1 | ||
|10460353203 / 10240000000 | |10460353203 / 10240000000 | ||
|{{ | |{{monzo| -17 21 -7 }} | ||
|36.859 | |36.859 | ||
|- | |- | ||
| Line 243: | Line 243: | ||
|sy<sup>10</sup>-2 | |sy<sup>10</sup>-2 | ||
|9765625 / 9565938 | |9765625 / 9565938 | ||
|{{ | |{{monzo| -1 -14 10 }} | ||
|35.767 | |35.767 | ||
|- | |- | ||
| Line 250: | Line 250: | ||
|Lg<sup>8</sup>2 | |Lg<sup>8</sup>2 | ||
|1594323 / 1562500 | |1594323 / 1562500 | ||
|{{ | |{{monzo| -2 13 -8 }} | ||
|34.905 | |34.905 | ||
|- | |- | ||
| Line 257: | Line 257: | ||
|sg<sup>9</sup>3 | |sg<sup>9</sup>3 | ||
|1990656 / 1953125 | |1990656 / 1953125 | ||
|{{ | |{{monzo| 13 5 -9 }} | ||
|32.952 | |32.952 | ||
|- | |- | ||
| Line 264: | Line 264: | ||
|LLy<sup>6</sup>-3 | |LLy<sup>6</sup>-3 | ||
|34171875 / 33554432 | |34171875 / 33554432 | ||
|{{ | |{{monzo| -25 7 6 }} | ||
|31.567 | |31.567 | ||
|- | |- | ||
| Line 271: | Line 271: | ||
|ssg<sup>10</sup>4 | |ssg<sup>10</sup>4 | ||
|268435456 / 263671875 | |268435456 / 263671875 | ||
|{{ | |{{monzo| 28 -3 -10 }} | ||
|30.998 | |30.998 | ||
|} | |} | ||
| Line 287: | Line 287: | ||
|ssr<sup>16</sup>-6 | |ssr<sup>16</sup>-6 | ||
|35184372088832 / 33232930569601 | |35184372088832 / 33232930569601 | ||
|{{ | |{{monzo| 45 0 0 -16 }} | ||
|98.785 | |98.785 | ||
|- | |- | ||
| Line 294: | Line 294: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -14 0 -29 29 }} | ||
|92.854 | |92.854 | ||
|- | |- | ||
| Line 301: | Line 301: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -241 0 47 47 }} | ||
|91.562 | |91.562 | ||
|- | |- | ||
| Line 308: | Line 308: | ||
|zg2 | |zg2 | ||
|21 / 20 | |21 / 20 | ||
|{{ | |{{monzo| -2 1 -1 1 }} | ||
|84.467 | |84.467 | ||
|- | |- | ||
| Line 315: | Line 315: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 19 0 39 -39 }} | ||
|82.024 | |82.024 | ||
|- | |- | ||
| Line 322: | Line 322: | ||
|Lrr-2 | |Lrr-2 | ||
|6561 / 6272 | |6561 / 6272 | ||
|{{ | |{{monzo| -7 8 0 -2 }} | ||
|77.988 | |77.988 | ||
|- | |- | ||
| Line 329: | Line 329: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -101 0 0 36 }} | ||
|77.733 | |77.733 | ||
|- | |- | ||
| Line 336: | Line 336: | ||
|rrg1 | |rrg1 | ||
|256 / 245 | |256 / 245 | ||
|{{ | |{{monzo| 8 0 -1 -2 }} | ||
|76.034 | |76.034 | ||
|- | |- | ||
| Line 343: | Line 343: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -79 18 0 18 }} | ||
|74.056 | |74.056 | ||
|- | |- | ||
| Line 350: | Line 350: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 77 0 -15 -15 }} | ||
|72.906 | |72.906 | ||
|- | |- | ||
| Line 357: | Line 357: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 1123 0 0 -400 }} | ||
|69.637 | |69.637 | ||
|- | |- | ||
| Line 364: | Line 364: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 132 0 0 -47 }} | ||
|65.182 | |65.182 | ||
|- | |- | ||
| Line 371: | Line 371: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 145 -33 0 -33 }} | ||
|64.23 | |64.23 | ||
|- | |- | ||
| Line 378: | Line 378: | ||
|z2 | |z2 | ||
|28 / 27 | |28 / 27 | ||
|{{ | |{{monzo| 2 -3 0 1 }} | ||
|62.961 | |62.961 | ||
|- | |- | ||
| Line 385: | Line 385: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -15 0 -31 31 }} | ||
|57.878 | |57.878 | ||
|- | |- | ||
| Line 392: | Line 392: | ||
|rry-2 | |rry-2 | ||
|405 / 392 | |405 / 392 | ||
|{{ | |{{monzo| -3 4 1 -2 }} | ||
|56.482 | |56.482 | ||
|- | |- | ||
| Line 399: | Line 399: | ||
| | | | ||
|576460752303423488 / 558545864083284007 | |576460752303423488 / 558545864083284007 | ||
|{{ | |{{monzo| 59 0 0 -21 }} | ||
|54.656 | |54.656 | ||
|- | |- | ||
| Line 406: | Line 406: | ||
|Lr-2 | |Lr-2 | ||
|[[59049/57344|59049 / 57344]] | |[[59049/57344|59049 / 57344]] | ||
|{{ | |{{monzo| -13 10 0 -1 }} | ||
|50.724 | |50.724 | ||
|- | |- | ||
| Line 413: | Line 413: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -200 0 39 39 }} | ||
|50.445 | |50.445 | ||
|- | |- | ||
| Line 420: | Line 420: | ||
|z<sup>3</sup>g<sup>3</sup>3 | |z<sup>3</sup>g<sup>3</sup>3 | ||
|1029 / 1000 | |1029 / 1000 | ||
|{{ | |{{monzo| -3 1 -3 3 }} | ||
|49.492 | |49.492 | ||
|- | |- | ||
| Line 427: | Line 427: | ||
|rg1 | |rg1 | ||
|[[36/35|36 / 35]] | |[[36/35|36 / 35]] | ||
|{{ | |{{monzo| 2 2 -1 -1 }} | ||
|48.77 | |48.77 | ||
|- | |- | ||
| Line 434: | Line 434: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 18 0 37 -37 }} | ||
|47.049 | |47.049 | ||
|- | |- | ||
| Line 441: | Line 441: | ||
|sr<sup>5</sup>-2 | |sr<sup>5</sup>-2 | ||
|4194304 / 4084101 | |4194304 / 4084101 | ||
|{{ | |{{monzo| 22 -5 0 -5 }} | ||
|46.095 | |46.095 | ||
|- | |- | ||
| Line 448: | Line 448: | ||
|Lz<sup>5</sup>3 | |Lz<sup>5</sup>3 | ||
|16807 / 16384 | |16807 / 16384 | ||
|{{ | |{{monzo| -14 0 0 5 }} | ||
|44.13 | |44.13 | ||
|- | |- | ||
| Line 455: | Line 455: | ||
|Lzyy1 | |Lzyy1 | ||
|525 / 512 | |525 / 512 | ||
|{{ | |{{monzo| -9 1 2 1 }} | ||
|43.408 | |43.408 | ||
|- | |- | ||
| Line 462: | Line 462: | ||
|LLz<sup>8</sup>y<sup>8</sup>2 | |LLz<sup>8</sup>y<sup>8</sup>2 | ||
|2251875390625 / 2199023255552 | |2251875390625 / 2199023255552 | ||
|{{ | |{{monzo| -41 0 8 8 }} | ||
|41.117 | |41.117 | ||
|- | |- | ||
| Line 469: | Line 469: | ||
|zz2 | |zz2 | ||
|[[49/48|49 / 48]] | |[[49/48|49 / 48]] | ||
|{{ | |{{monzo| -4 -1 0 2 }} | ||
|35.697 | |35.697 | ||
|- | |- | ||
| Line 476: | Line 476: | ||
|rryy-2 | |rryy-2 | ||
|[[50/49|50 / 49]] | |[[50/49|50 / 49]] | ||
|{{ | |{{monzo| 1 0 2 -2 }} | ||
|34.976 | |34.976 | ||
|- | |- | ||
| Line 483: | Line 483: | ||
|r<sup>7</sup>-4 | |r<sup>7</sup>-4 | ||
|839808 / 823543 | |839808 / 823543 | ||
|{{ | |{{monzo| 7 8 0 -7 }} | ||
|33.859 | |33.859 | ||
|- | |- | ||
| Line 490: | Line 490: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -87 0 0 31 }} | ||
|33.603 | |33.603 | ||
|- | |- | ||
| Line 497: | Line 497: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 118 0 -23 -23 }} | ||
|31.789 | |31.789 | ||
|} | |} | ||
| Line 513: | Line 513: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -121 0 0 0 35 }} | ||
|96.128 | |96.128 | ||
|- | |- | ||
| Line 520: | Line 520: | ||
|1or1 | |1or1 | ||
|22 / 21 | |22 / 21 | ||
|{{ | |{{monzo| 1 -1 0 -1 1 }} | ||
|80.537 | |80.537 | ||
|- | |- | ||
| Line 527: | Line 527: | ||
|L1u1 | |L1u1 | ||
|729 / 704 | |729 / 704 | ||
|{{ | |{{monzo| -6 6 0 0 -1 }} | ||
|60.412 | |60.412 | ||
|- | |- | ||
| Line 534: | Line 534: | ||
|1o1 | |1o1 | ||
|33 / 32 | |33 / 32 | ||
|{{ | |{{monzo| -5 1 0 0 1 }} | ||
|53.273 | |53.273 | ||
|- | |- | ||
| Line 541: | Line 541: | ||
|s1u2 | |s1u2 | ||
|8192 / 8019 | |8192 / 8019 | ||
|{{ | |{{monzo| 13 -6 0 0 -1 }} | ||
|36.952 | |36.952 | ||
|- | |- | ||
| Line 548: | Line 548: | ||
|1or<sup>3</sup>-2 | |1or<sup>3</sup>-2 | ||
|352 / 343 | |352 / 343 | ||
|{{ | |{{monzo| 5 0 0 -3 1 }} | ||
|44.84 | |44.84 | ||
|- | |- | ||
| Line 555: | Line 555: | ||
|1uy1 | |1uy1 | ||
|45 / 44 | |45 / 44 | ||
|{{ | |{{monzo| -2 2 1 0 -1 }} | ||
|38.906 | |38.906 | ||
|- | |- | ||
| Line 562: | Line 562: | ||
|1uzg2 | |1uzg2 | ||
|56 / 55 | |56 / 55 | ||
|{{ | |{{monzo| 3 0 -1 1 -1 }} | ||
|31.194 | |31.194 | ||
|- | |- | ||
| Line 569: | Line 569: | ||
|1oy1 | |1oy1 | ||
|55 / 54 | |55 / 54 | ||
|{{ | |{{monzo| -1 -3 1 0 1 }} | ||
|31.767 | |31.767 | ||
|- | |- | ||
| Line 576: | Line 576: | ||
|LL1o<sup>11</sup>-3 | |LL1o<sup>11</sup>-3 | ||
|285311670611 / 274877906944 | |285311670611 / 274877906944 | ||
|{{ | |{{monzo| -38 0 0 0 11 }} | ||
|64.497 | |64.497 | ||
|- | |- | ||
| Line 583: | Line 583: | ||
|ss1u<sup>13</sup>4 | |ss1u<sup>13</sup>4 | ||
|35184372088832 / 34522712143931 | |35184372088832 / 34522712143931 | ||
|{{ | |{{monzo| 45 0 0 0 -13 }} | ||
|32.867 | |32.867 | ||
|- | |- | ||
| Line 590: | Line 590: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| -83 0 0 0 24 }} | ||
|31.631 | |31.631 | ||
|} | |} | ||
| Line 605: | Line 605: | ||
|3u1 | |3u1 | ||
|[[27/26|27 / 26]] | |[[27/26|27 / 26]] | ||
|{{ | |{{monzo| -1 3 0 0 0 -1 }} | ||
|65.337 | |65.337 | ||
|- | |- | ||
| Line 612: | Line 612: | ||
|3og2 | |3og2 | ||
|[[26/25|26 / 25]] | |[[26/25|26 / 25]] | ||
|{{ | |{{monzo| 1 0 -2 0 0 1 }} | ||
|67.9 | |67.9 | ||
|- | |- | ||
| Line 619: | Line 619: | ||
|L3o1 | |L3o1 | ||
|[[1053/1024|1053 / 1024]] | |[[1053/1024|1053 / 1024]] | ||
|{{ | |{{monzo| -10 4 0 0 0 1 }} | ||
|48.348 | |48.348 | ||
|- | |- | ||
| Line 626: | Line 626: | ||
|3uy1 | |3uy1 | ||
|40 / 39 | |40 / 39 | ||
|{{ | |{{monzo| 3 -1 1 0 0 -1 }} | ||
|43.831 | |43.831 | ||
|- | |- | ||
| Line 633: | Line 633: | ||
|L3o<sup>6</sup>2 | |L3o<sup>6</sup>2 | ||
|4826809 / 4718592 | |4826809 / 4718592 | ||
|{{ | |{{monzo| -19 -2 0 0 0 6 }} | ||
|39.256 | |39.256 | ||
|} | |} | ||
| Line 648: | Line 648: | ||
|17u1 | |17u1 | ||
|18 / 17 | |18 / 17 | ||
|{{ | |{{monzo| 1 2 0 0 0 0 -1 }} | ||
|98.955 | |98.955 | ||
|- | |- | ||
| Line 655: | Line 655: | ||
|17uzy1 | |17uzy1 | ||
|35 / 34 | |35 / 34 | ||
|{{ | |{{monzo| -1 0 1 1 0 0 -1 }} | ||
|50.184 | |50.184 | ||
|- | |- | ||
| Line 662: | Line 662: | ||
|17o1u2 | |17o1u2 | ||
|34 / 33 | |34 / 33 | ||
|{{ | |{{monzo| 1 -1 0 0 -1 0 1 }} | ||
|51.682 | |51.682 | ||
|- | |- | ||
| Line 669: | Line 669: | ||
|17ogg2 | |17ogg2 | ||
|51 / 50 | |51 / 50 | ||
|{{ | |{{monzo| -1 1 -2 0 0 0 1 }} | ||
|34.283 | |34.283 | ||
|- | |- | ||
| Line 676: | Line 676: | ||
|17u3o1 | |17u3o1 | ||
|52 / 51 | |52 / 51 | ||
|{{ | |{{monzo| 2 -1 0 0 0 1 -1 }} | ||
|33.617 | |33.617 | ||
|- | |- | ||
| Line 683: | Line 683: | ||
|ss17u<sup>11</sup>-5 | |ss17u<sup>11</sup>-5 | ||
|35184372088832 / 34271896307633 | |35184372088832 / 34271896307633 | ||
|{{ | |{{monzo| 45 0 0 0 0 0 -11 }} | ||
|45.49 | |45.49 | ||
|- | |- | ||
| Line 690: | Line 690: | ||
|LL17o<sup>12</sup>6 | |LL17o<sup>12</sup>6 | ||
|582622237229761 / 562949953421312 | |582622237229761 / 562949953421312 | ||
|{{ | |{{monzo| -49 0 0 0 0 0 12 }} | ||
|59.465 | |59.465 | ||
|- | |- | ||
| Line 697: | Line 697: | ||
| | | | ||
| | | | ||
|{{ | |{{monzo| 139 0 0 0 0 0 -34 }} | ||
|31.516 | |31.516 | ||
|} | |} | ||
| Line 712: | Line 712: | ||
|19o2 | |19o2 | ||
|19 / 18 | |19 / 18 | ||
|{{ | |{{monzo| -1 -2 0 0 0 0 0 1 }} | ||
|93.603 | |93.603 | ||
|- | |- | ||
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|19uy1 | |19uy1 | ||
|20 / 19 | |20 / 19 | ||
|{{ | |{{monzo| 2 0 1 0 0 0 0 -1 }} | ||
|88.801 | |88.801 | ||
|- | |- | ||
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|19u3o1 | |19u3o1 | ||
|39 / 38 | |39 / 38 | ||
|{{ | |{{monzo| -1 1 0 0 0 1 0 -1 }} | ||
|44.97 | |44.97 | ||
|- | |- | ||
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|19or1 | |19or1 | ||
|57 / 56 | |57 / 56 | ||
|{{ | |{{monzo| -3 1 0 -1 0 0 0 1 }} | ||
|30.642 | |30.642 | ||
|} | |} | ||
Revision as of 12:33, 17 January 2021
A medium comma is a comma whose size is approximately between 30 and 100 cents. These commas are easily perceptible.
For commas over 100 cents, see Large comma; for commas under 30 cents, see Small comma; for such under 3.5 cents see Unnoticeable comma.
Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.
List of commas, by prime limit
3-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| limma, Pythagorean minor second | small wa 2nd | sw2 | 256 / 243 | [8 -5⟩ | 90.225 |
| 17-comma | wa-17 comma | ssw3 | 134217728 / 129140163 | [27 -17⟩ | 66.765 |
| 29-comma | wa-29 comma | w-29 | 70368744177664 / 68630377364883 | [46 -29⟩ | 43.305 |
| 70-comma | wa-70 comma | w-70 | [111 -70⟩ | 63.15 | |
| 77-comma | wa-77 comma | w-77 | [-122 77⟩ | 50.535 | |
5-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| double large yoyo negative 2nd | Lala-yoyo | LLyy-2 | 4428675 / 4194304 | [-22 11 2⟩ | 94.132 |
| major chroma, major limma, pelogic comma | Layobi | Ly1 | 135 / 128 | [-7 3 1⟩ | 92.179 |
| double small gu 3rd | Sasagu | ssg3 | 8388608 / 7971615 | [23 -13 -1⟩ | 88.271 |
| bohpier, 13edt comma | Satheyo | sy13-2 | 1220703125 / 1162261467 | [0 -19 13⟩ | 84.933 |
| ripple | Quingu | g52 | 6561 / 6250 | [-1 8 -5⟩ | 84.071 |
| doublewide | Quadbiyo | y8-2 | 390625 / 373248 | [-9 -6 8⟩ | 78.78 |
| sevond | Sasepyo | sy71 | 5000000 / 4782969 | [6 -14 7⟩ | 76.826 |
| nusecond | Legu | g113 | 51018336 / 48828125 | [5 13 -11⟩ | 75.964 |
| sentinel | Trila-quadyo | L3y4-3 | 8968066875 / 8589934592 | [-33 15 4⟩ | 74.580 |
| large triyo negative 2nd | Latriyo | Ly3-2 | 273375 / 262144 | [-18 7 3⟩ | 72.626 |
| chromatic semitone | Yoyo | yy1 | 25 / 24 | [-3 -1 2⟩ | 70.672 |
| superpyth, grave minor second | Sayo | sy2 | 20480 / 19683 | [12 -9 1⟩ | 68.719 |
| major diesis, diminished comma | Quadgu | g42 | 648 / 625 | [3 4 -4⟩ | 62.565 |
| passion | Saquingu | sg53 | 262144 / 253125 | [18 -4 -5⟩ | 60.611 |
| shibboleth | Tritriyo | y9-2 | 1953125 / 1889568 | [-5 -10 9⟩ | 57.273 |
| mynic | Quinbigu | g103 | 10077696 / 9765625 | [9 9 -10⟩ | 54.458 |
| tritonic | Lala-quinyo | LLy5-3 | 553584375 / 536870912 | [-29 11 5⟩ | 53.074 |
| negri comma, double augmentation diesis | Laquadyo | Ly4-2 | 16875 / 16384 | [-14 3 4⟩ | 51.120 |
| maximal diesis, porcupine | Triyo | y31 | 250 / 243 | [1 -5 3⟩ | 49.166 |
| mowgli, 15edt comma | Laquintrigu | Lg153 | 31381059609 / 30517578125 | [0 22 -15⟩ | 48.304 |
| immunity | Sasa-yoyo | ssyy2 | 1638400 / 1594323 | [16 -13 2⟩ | 47.212 |
| lalagu comma | Lalagu | LLg-2 | 43046721 / 41943040 | [-23 16 -1⟩ | 44.966 |
| diesis, augmented comma | Trigu | g32 | 128 / 125 | [7 0 -3⟩ | 41.059 |
| wizard | Lala-quadtriyo | LLy12-4 | 2197265625 / 2147483648 | [-31 2 12⟩ | 39.675 |
| sycamore | Laleyo | Ly11-3 | 48828125 / 47775744 | [-16 -6 11⟩ | 37.721 |
| absurdity | Lala-sepgu | LLg71 | 10460353203 / 10240000000 | [-17 21 -7⟩ | 36.859 |
| fifive | Saquinbiyo | sy10-2 | 9765625 / 9565938 | [-1 -14 10⟩ | 35.767 |
| unicorn | Laquadbigu | Lg82 | 1594323 / 1562500 | [-2 13 -8⟩ | 34.905 |
| valentine comma | Satritrigu | sg93 | 1990656 / 1953125 | [13 5 -9⟩ | 32.952 |
| ampersand, Ampersand's comma | Lala-tribiyo | LLy6-3 | 34171875 / 33554432 | [-25 7 6⟩ | 31.567 |
| mabila comma | Sasa-quinbigu | ssg104 | 268435456 / 263671875 | [28 -3 -10⟩ | 30.998 |
7-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| hexadecatone comma, 16-7-comma | Sasa-quadquadrubi | ssr16-6 | 35184372088832 / 33232930569601 | [45 0 0 -16⟩ | 98.785 |
| 29-7/5-comma | [-14 0 -29 29⟩ | 92.854 | |||
| 47-35-comma | [-241 0 47 47⟩ | 91.562 | |||
| minor semitone | Zogu | zg2 | 21 / 20 | [-2 1 -1 1⟩ | 84.467 |
| 39-7/5-comma | [19 0 39 -39⟩ | 82.024 | |||
| laruru negative 2nd | Laruru | Lrr-2 | 6561 / 6272 | [-7 8 0 -2⟩ | 77.988 |
| 36-7-comma | [-101 0 0 36⟩ | 77.733 | |||
| bapbo | Rurugu | rrg1 | 256 / 245 | [8 0 -1 -2⟩ | 76.034 |
| 18-21-comma | [-79 18 0 18⟩ | 74.056 | |||
| 15-35-comma | [77 0 -15 -15⟩ | 72.906 | |||
| [1123 0 0 -400⟩ | 69.637 | ||||
| 47-7-comma | [132 0 0 -47⟩ | 65.182 | |||
| 33-21-comma | [145 -33 0 -33⟩ | 64.23 | |||
| Archytas' 1/3-tone | Zo | z2 | 28 / 27 | [2 -3 0 1⟩ | 62.961 |
| 31-7/5-comma | [-15 0 -31 31⟩ | 57.878 | |||
| greenwoodma | Ruruyo | rry-2 | 405 / 392 | [-3 4 1 -2⟩ | 56.482 |
| 21-7-comma | 576460752303423488 / 558545864083284007 | [59 0 0 -21⟩ | 54.656 | ||
| Harrison's comma | Laru | Lr-2 | 59049 / 57344 | [-13 10 0 -1⟩ | 50.724 |
| 39-35-comma | [-200 0 39 39⟩ | 50.445 | |||
| keega | Trizogu | z3g33 | 1029 / 1000 | [-3 1 -3 3⟩ | 49.492 |
| septimal quarter tone | Rugu | rg1 | 36 / 35 | [2 2 -1 -1⟩ | 48.77 |
| 37-7/5-comma | [18 0 37 -37⟩ | 47.049 | |||
| 5-21-comma | Saquinru | sr5-2 | 4194304 / 4084101 | [22 -5 0 -5⟩ | 46.095 |
| cloudy | Laquinzo | Lz53 | 16807 / 16384 | [-14 0 0 5⟩ | 44.13 |
| Avicenna, Avicenna's enharmonic diesis | Lazoyoyo | Lzyy1 | 525 / 512 | [-9 1 2 1⟩ | 43.408 |
| 8-35-comma | Lala-quadbizoyo | LLz8y82 | 2251875390625 / 2199023255552 | [-41 0 8 8⟩ | 41.117 |
| slendro diesis | Zozo | zz2 | 49 / 48 | [-4 -1 0 2⟩ | 35.697 |
| tritonic diesis, jubilisma | Biruyo | rryy-2 | 50 / 49 | [1 0 2 -2⟩ | 34.976 |
| eric | Sepru | r7-4 | 839808 / 823543 | [7 8 0 -7⟩ | 33.859 |
| German sixth comma | [-87 0 0 31⟩ | 33.603 | |||
| 23-35-comma | [118 0 -23 -23⟩ | 31.789 | |||
11-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| 11-cycle major seventh prote, 35-11-comma | [-121 0 0 0 35⟩ | 96.128 | |||
| undecimal minor semitone | Loru | 1or1 | 22 / 21 | [1 -1 0 -1 1⟩ | 80.537 |
| lalu unison | Lalu | L1u1 | 729 / 704 | [-6 6 0 0 -1⟩ | 60.412 |
| undecimal comma, al-Farabi's 1/4-tone | Ilo | 1o1 | 33 / 32 | [-5 1 0 0 1⟩ | 53.273 |
| Hunt flat 5 comma | Salu | s1u2 | 8192 / 8019 | [13 -6 0 0 -1⟩ | 36.952 |
| sterno | Lotriru | 1or3-2 | 352 / 343 | [5 0 0 -3 1⟩ | 44.84 |
| 1/5-tone | Loyo | 1uy1 | 45 / 44 | [-2 2 1 0 -1⟩ | 38.906 |
| undecimal diesis | Lozogu | 1uzg2 | 56 / 55 | [3 0 -1 1 -1⟩ | 31.194 |
| telepathma | Loyo | 1oy1 | 55 / 54 | [-1 -3 1 0 1⟩ | 31.767 |
| 11-cycle chroma, 11-11-comma | Lala-lelo | LL1o11-3 | 285311670611 / 274877906944 | [-38 0 0 0 11⟩ | 64.497 |
| the Igs boson, 13-11-comma | Sasa-thelu | ss1u134 | 35184372088832 / 34522712143931 | [45 0 0 0 -13⟩ | 32.867 |
| Hunt 11-cycle comma | [-83 0 0 0 24⟩ | 31.631 | |||
13-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| small tridecimal third tone | Thu | 3u1 | 27 / 26 | [-1 3 0 0 0 -1⟩ | 65.337 |
| large tridecimal third tone | Thogu | 3og2 | 26 / 25 | [1 0 -2 0 0 1⟩ | 67.9 |
| tridecimal comma, Hunt minor submediant comma | Latho | L3o1 | 1053 / 1024 | [-10 4 0 0 0 1⟩ | 48.348 |
| tridecimal minor diesis | Thuyo | 3uy1 | 40 / 39 | [3 -1 1 0 0 -1⟩ | 43.831 |
| astburyp | Latribitho | L3o62 | 4826809 / 4718592 | [-19 -2 0 0 0 6⟩ | 39.256 |
17-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| Arabic lute index finger | Su | 17u1 | 18 / 17 | [1 2 0 0 0 0 -1⟩ | 98.955 |
| septendecimal 1/4-tone | Suzoyo | 17uzy1 | 35 / 34 | [-1 0 1 1 0 0 -1⟩ | 50.184 |
| solu 2nd | Solu | 17o1u2 | 34 / 33 | [1 -1 0 0 -1 0 1⟩ | 51.682 |
| 17th-partial chroma | Sogugu | 17ogg2 | 51 / 50 | [-1 1 -2 0 0 0 1⟩ | 34.283 |
| sutho unison | Sutho | 17u3o1 | 52 / 51 | [2 -1 0 0 0 1 -1⟩ | 33.617 |
| 11 semitone comma | Sasa-lesu | ss17u11-5 | 35184372088832 / 34271896307633 | [45 0 0 0 0 0 -11⟩ | 45.49 |
| 12 semitone comma | Lala-quadtriso | LL17o126 | 582622237229761 / 562949953421312 | [-49 0 0 0 0 0 12⟩ | 59.465 |
| Hunt 17-cycle comma | [139 0 0 0 0 0 -34⟩ | 31.516 | |||
19-limit commas
| Name(s) | Color Name | Ratio | Monzo | Cents | |
|---|---|---|---|---|---|
| undevicesimal semitone | Ino | 19o2 | 19 / 18 | [-1 -2 0 0 0 0 0 1⟩ | 93.603 |
| small undevicesimal semitone | Nuyo | 19uy1 | 20 / 19 | [2 0 1 0 0 0 0 -1⟩ | 88.801 |
| nutho unison | Nutho | 19u3o1 | 39 / 38 | [-1 1 0 0 0 1 0 -1⟩ | 44.97 |
| noru unison | Noru | 19or1 | 57 / 56 | [-3 1 0 -1 0 0 0 1⟩ | 30.642 |