58edf: Difference between revisions
Created page with "'''Division of the just perfect fifth into 58 equal parts''' (58EDF) is related to 99 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..." Tags: Mobile edit Mobile web edit |
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Lookalikes: [[99edo]], [[157edt]] | Lookalikes: [[99edo]], [[157edt]] | ||
{| class="wikitable" | |||
|- | |||
! |Degrees | |||
! |Cents Value | |||
|Five limit | |||
|Seven limit | |||
|Eleven limit | |||
|Thirteen limit | |||
|- | |||
| |1 | |||
| |12.1027 | |||
|2048/2025 | |||
|126/125 | |||
|99/98 | |||
|91/90 | |||
|- | |||
| |2 | |||
| |24.2053 | |||
|81/80 | |||
|64/63 | |||
|55/54 | |||
|55/54 | |||
|- | |||
| |3 | |||
| |36.308 | |||
|128/125 | |||
|49/48 | |||
|49/48 | |||
|49/48 | |||
|- | |||
| |4 | |||
| |48.4107 | |||
|250/243 | |||
|36/35 | |||
|33/32 | |||
|33/32 | |||
|- | |||
| |5 | |||
| |60.5134 | |||
|648/625 | |||
|28/27 | |||
|28/27 | |||
|26/25 | |||
|- | |||
| |6 | |||
| |72.616 | |||
|25/24 | |||
|25/24 | |||
|22/21 | |||
|22/21 | |||
|- | |||
| |7 | |||
| |84.7187 | |||
|256/243 | |||
|21/20 | |||
|21/20 | |||
|21/20 | |||
|- | |||
| |8 | |||
| |96.8214 | |||
|135/128 | |||
|135/128 | |||
|81/77 | |||
|52/49 | |||
|- | |||
| |9 | |||
| |108.92405 | |||
|16/15 | |||
|16/15 | |||
|16/15 | |||
|16/15 | |||
|- | |||
| |10 | |||
| |121.0267 | |||
|2187/2048 | |||
|15/14 | |||
|15/14 | |||
|15/14 | |||
|- | |||
| |11 | |||
| |133.1294 | |||
|27/25 | |||
|27/25 | |||
|27/25 | |||
|13/12 | |||
|- | |||
| |12 | |||
| |145.2321 | |||
|625/576 | |||
|49/45 | |||
|49/45 | |||
|49/45 | |||
|- | |||
| |13 | |||
| |157.3347 | |||
|800/729 | |||
|35/32 | |||
|11/10 | |||
|11/10 | |||
|- | |||
| |14 | |||
| |169.4374 | |||
|1125/1024 | |||
|54/49 | |||
|54/49 | |||
|54/49 | |||
|- | |||
| |15 | |||
| |181.54 | |||
|10/9 | |||
|10/9 | |||
|10/9 | |||
|10/9 | |||
|- | |||
| |16 | |||
| |193.6428 | |||
|4096/3645 | |||
|28/25 | |||
|28/25 | |||
|28/25 | |||
|- | |||
| |17 | |||
| |205.7454 | |||
|9/8 | |||
|9/8 | |||
|9/8 | |||
|9/8 | |||
|- | |||
| |18 | |||
| |217.8481 | |||
|256/225 | |||
|245/216 | |||
|112/99 | |||
|91/80 | |||
|- | |||
| |19 | |||
| |229.9508 | |||
|729/640 | |||
|8/7 | |||
|8/7 | |||
|8/7 | |||
|- | |||
| |20 | |||
| |242.05345 | |||
|144/125 | |||
|144/125 | |||
|63/55 | |||
|52/45 | |||
|- | |||
| |21 | |||
| |254.1561 | |||
|125/108 | |||
|81/70 | |||
|81/70 | |||
|15/13 | |||
|- | |||
| |22 | |||
| |266.2587 | |||
|729/625 | |||
|7/6 | |||
|7/6 | |||
|7/6 | |||
|- | |||
| |23 | |||
| |278.3615 | |||
|75/64 | |||
|75/64 | |||
|33/28 | |||
|33/28 | |||
|- | |||
| |24 | |||
| |290.4641 | |||
|32/27 | |||
|32/27 | |||
|32/27 | |||
|13/11 | |||
|- | |||
| |25 | |||
| |302.5668 | |||
|1215/1024 | |||
|25/21 | |||
|25/21 | |||
|25/21 | |||
|- | |||
| |26 | |||
| |314.6695 | |||
|6/5 | |||
|6/5 | |||
|6/5 | |||
|6/5 | |||
|- | |||
| |27 | |||
| |326.7722 | |||
|3125/2592 | |||
|98/81 | |||
|98/81 | |||
|91/75 | |||
|- | |||
| |28 | |||
| |338.8748 | |||
|243/200 | |||
|128/105 | |||
|11/9 | |||
|11/9 | |||
|- | |||
| |29 | |||
| |350.9775 | |||
|625/512 | |||
|49/40 | |||
|49/40 | |||
|49/40 | |||
|- | |||
| |30 | |||
| |363.0802 | |||
|100/81 | |||
|100/81 | |||
|27/22 | |||
|16/13 | |||
|- | |||
| |31 | |||
| |375.18285 | |||
|3888/3125 | |||
|56/45 | |||
|56/45 | |||
|56/45 | |||
|- | |||
| |32 | |||
| |387.2855 | |||
|5/4 | |||
|5/4 | |||
|5/4 | |||
|5/4 | |||
|- | |||
| |33 | |||
| |399.3882 | |||
|512/405 | |||
|63/50 | |||
|63/50 | |||
|49/39 | |||
|- | |||
| |34 | |||
| |411.4909 | |||
|81/64 | |||
|80/63 | |||
|80/63 | |||
|33/26 | |||
|- | |||
| |35 | |||
| |423.5935 | |||
|32/25 | |||
|32/25 | |||
|14/11 | |||
|14/11 | |||
|- | |||
| |36 | |||
| |435.6962 | |||
|625/486 | |||
|9/7 | |||
|9/7 | |||
|9/7 | |||
|- | |||
| |37 | |||
| |447.7989 | |||
|162/125 | |||
|35/27 | |||
|35/27 | |||
|13/10 | |||
|- | |||
| |38 | |||
| |459.90155 | |||
|125/96 | |||
|64/49 | |||
|55/42 | |||
|55/42 | |||
|- | |||
| |39 | |||
| |472.0042 | |||
|320/243 | |||
|21/16 | |||
|21/16 | |||
|21/16 | |||
|- | |||
| |40 | |||
| |484.1069 | |||
|675/512 | |||
|250/189 | |||
|250/189 | |||
|65/49 | |||
|- | |||
| |41 | |||
| |469.2096 | |||
|4/3 | |||
|4/3 | |||
|4/3 | |||
|4/3 | |||
|- | |||
| |42 | |||
| |508.3122 | |||
|8192/6075 | |||
|75/56 | |||
|66/49 | |||
|66/49 | |||
|- | |||
| |43 | |||
| |520.4149 | |||
|27/20 | |||
|27/20 | |||
|27/20 | |||
|27/20 | |||
|- | |||
| |44 | |||
| |532.5176 | |||
|512/375 | |||
|49/36 | |||
|49/36 | |||
|49/36 | |||
|- | |||
| |45 | |||
| |544.6203 | |||
|1000/729 | |||
|48/35 | |||
|11/8 | |||
|11/8 | |||
|- | |||
| |46 | |||
| |556.7229 | |||
|864/625 | |||
|112/81 | |||
|112/81 | |||
|91/66 | |||
|- | |||
| |47 | |||
| |568.8256 | |||
|25/18 | |||
|25/18 | |||
|25/18 | |||
|18/13 | |||
|- | |||
| |48 | |||
| |580.9283 | |||
|1024/729 | |||
|7/5 | |||
|7/5 | |||
|7/5 | |||
|- | |||
| |49 | |||
| |593.03095 | |||
|45/32 | |||
|45/32 | |||
|45/32 | |||
|45/32 | |||
|- | |||
| |50 | |||
| |605.1336 | |||
|64/45 | |||
|64/45 | |||
|64/45 | |||
|64/45 | |||
|- | |||
| |51 | |||
| |617.2362 | |||
|729/512 | |||
|10/7 | |||
|10/7 | |||
|10/7 | |||
|- | |||
| |52 | |||
| |629.339 | |||
|36/25 | |||
|36/25 | |||
|36/25 | |||
|13/9 | |||
|- | |||
| |53 | |||
| |641.4416 | |||
|625/432 | |||
|81/56 | |||
|81/56 | |||
|75/52 | |||
|- | |||
| |54 | |||
| |653.5443 | |||
|729/500 | |||
|35/24 | |||
|16/11 | |||
|16/11 | |||
|- | |||
| |55 | |||
| |665.647 | |||
|375/256 | |||
|72/49 | |||
|72/49 | |||
|72/49 | |||
|- | |||
| |56 | |||
| |677.7497 | |||
|40/27 | |||
|40/27 | |||
|40/27 | |||
|40/27 | |||
|- | |||
| |57 | |||
| |689.8523 | |||
|6075/4096 | |||
|112/75 | |||
|49/33 | |||
|49/33 | |||
|- | |||
| |58 | |||
| |701.955 | |||
|3/2 | |||
|3/2 | |||
|3/2 | |||
|3/2 | |||
|- | |||
| |59 | |||
| |714.0577 | |||
|1024/675 | |||
|189/125 | |||
|189/125 | |||
|91/60 | |||
|- | |||
| |60 | |||
| |726.16035 | |||
|243/160 | |||
|32/21 | |||
|32/21 | |||
|32/21 | |||
|- | |||
| |61 | |||
| |738.263 | |||
|192/125 | |||
|49/32 | |||
|49/32 | |||
|49/32 | |||
|- | |||
| |62 | |||
| |750.3657 | |||
|125/81 | |||
|54/35 | |||
|54/35 | |||
|20/13 | |||
|- | |||
| |63 | |||
| |762.4684 | |||
|972/625 | |||
|14/9 | |||
|14/9 | |||
|14/9 | |||
|- | |||
| |64 | |||
| |774.571 | |||
|25/16 | |||
|25/16 | |||
|11/7 | |||
|11/7 | |||
|- | |||
| |65 | |||
| |786.6737 | |||
|128/81 | |||
|63/40 | |||
|63/40 | |||
|52/33 | |||
|- | |||
| |66 | |||
| |798.7764 | |||
|405/256 | |||
|100/63 | |||
|100/63 | |||
|78/49 | |||
|- | |||
| |67 | |||
| |810.87905 | |||
|8/5 | |||
|8/5 | |||
|8/5 | |||
|8/5 | |||
|- | |||
| |68 | |||
| |822.9817 | |||
|3125/1944 | |||
|45/28 | |||
|45/28 | |||
|45/28 | |||
|- | |||
| |69 | |||
| |835.0844 | |||
|81/50 | |||
|81/50 | |||
|44/27 | |||
|13/8 | |||
|- | |||
| |70 | |||
| |847.1871 | |||
|625/384 | |||
|49/30 | |||
|49/30 | |||
|49/30 | |||
|- | |||
| |71 | |||
| |859.2897 | |||
|400/243 | |||
|105/64 | |||
|18/11 | |||
|18/11 | |||
|- | |||
| |72 | |||
| |871.3924 | |||
|3375/2048 | |||
|81/49 | |||
|81/49 | |||
|81/49 | |||
|- | |||
| |73 | |||
| |883.4951 | |||
|5/3 | |||
|5/3 | |||
|5/3 | |||
|5/3 | |||
|- | |||
| |74 | |||
| |895.5978 | |||
|2048/1215 | |||
|42/25 | |||
|42/25 | |||
|42/25 | |||
|- | |||
| |75 | |||
| |907.7004 | |||
|27/16 | |||
|27/16 | |||
|27/16 | |||
|22/13 | |||
|- | |||
| |76 | |||
| |919.8031 | |||
|128/75 | |||
|128/75 | |||
|56/33 | |||
|56/33 | |||
|- | |||
| |77 | |||
| |931.9058 | |||
|1250/729 | |||
|12/7 | |||
|12/7 | |||
|12/7 | |||
|- | |||
| |78 | |||
| |944.00845 | |||
|216/125 | |||
|140/81 | |||
|140/81 | |||
|26/15 | |||
|- | |||
| |79 | |||
| |956.1111 | |||
|125/72 | |||
|125/72 | |||
|110/63 | |||
|45/26 | |||
|- | |||
| |80 | |||
| |968.2138 | |||
|1280/729 | |||
|7/4 | |||
|7/4 | |||
|7/4 | |||
|- | |||
| |81 | |||
| |980.3165 | |||
|225/128 | |||
|225/128 | |||
|99/56 | |||
|99/56 | |||
|- | |||
|82 | |||
|992.4191 | |||
|16/9 | |||
|16/9 | |||
|16/9 | |||
|16/9 | |||
|- | |||
|83 | |||
|1004.5218 | |||
|3645/2048 | |||
|25/14 | |||
|25/14 | |||
|25/14 | |||
|- | |||
|84 | |||
|1016.6245 | |||
|9/5 | |||
|9/5 | |||
|9/5 | |||
|9/5 | |||
|- | |||
|85 | |||
|1028.7272 | |||
|2048/1125 | |||
|49/27 | |||
|49/27 | |||
|49/27 | |||
|- | |||
|86 | |||
|1040.8298 | |||
|729/400 | |||
|64/35 | |||
|11/6 | |||
|11/6 | |||
|- | |||
|87 | |||
|1052.9325 | |||
|1152/625 | |||
|90/49 | |||
|90/49 | |||
|90/49 | |||
|- | |||
|88 | |||
|1065.0352 | |||
|50/27 | |||
|50/27 | |||
|50/27 | |||
|13/7 | |||
|- | |||
|89 | |||
|1077.13785 | |||
|4096/2187 | |||
|28/15 | |||
|28/15 | |||
|28/15 | |||
|- | |||
|90 | |||
|1089.2405 | |||
|15/8 | |||
|15/8 | |||
|15/8 | |||
|15/8 | |||
|- | |||
|91 | |||
|1101.3432 | |||
|256/135 | |||
|189/100 | |||
|154/81 | |||
|49/26 | |||
|- | |||
|92 | |||
|1113.4459 | |||
|243/128 | |||
|40/21 | |||
|40/21 | |||
|40/21 | |||
|- | |||
|93 | |||
|1125.5485 | |||
|48/25 | |||
|48/25 | |||
|21/11 | |||
|21/11 | |||
|- | |||
|94 | |||
|1137.6512 | |||
|625/324 | |||
|27/14 | |||
|27/14 | |||
|25/13 | |||
|- | |||
|95 | |||
|1149.7539 | |||
|243/125 | |||
|35/18 | |||
|35/18 | |||
|35/18 | |||
|- | |||
|96 | |||
|1161.8566 | |||
|125/64 | |||
|49/25 | |||
|49/25 | |||
|49/25 | |||
|- | |||
|97 | |||
|1173.9592 | |||
|160/81 | |||
|63/32 | |||
|63/32 | |||
|63/32 | |||
|- | |||
|98 | |||
|1186.0619 | |||
|2025/1024 | |||
|125/63 | |||
|125/63 | |||
|125/63 | |||
|- | |||
|99 | |||
|1198.1646 | |||
|2/1 | |||
|2/1 | |||
|2/1 | |||
|2/1 | |||
|} | |||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] |