29edf: Difference between revisions
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| Line 14: | Line 14: | ||
| | 1 | | | 1 | ||
| | 24.2053 | | | 24.2053 | ||
| | | | | 72/71 | ||
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|- | |- | ||
| Line 24: | Line 24: | ||
| | 3 | | | 3 | ||
| | 72.6160 | | | 72.6160 | ||
| | | | | [[24/23]] | ||
| | | | | | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 96.8214 | | | 96.8214 | ||
| | | | | 37/35, 55/52 | ||
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|- | |- | ||
| Line 39: | Line 39: | ||
| | 6 | | | 6 | ||
| | 145.2321 | | | 145.2321 | ||
| | | | | 25/23, 37/34 | ||
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|- | |- | ||
| Line 59: | Line 59: | ||
| | 10 | | | 10 | ||
| | 242.0534 | | | 242.0534 | ||
| | | | | [[23/20]] | ||
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| Line 69: | Line 69: | ||
| | 12 | | | 12 | ||
| | 290.4641 | | | 290.4641 | ||
| | | | | 71/60 | ||
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| Line 79: | Line 79: | ||
| | 14 | | | 14 | ||
| | 338.8748 | | | 338.8748 | ||
| | | | | 45/37 | ||
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|- | |- | ||
| | 15 | | | 15 | ||
| | 363.0802 | | | 363.0802 | ||
| | | | | 37/30 | ||
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| Line 94: | Line 94: | ||
| | 17 | | | 17 | ||
| | 411.4909 | | | 411.4909 | ||
| | | | | 90/71 | ||
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| Line 104: | Line 104: | ||
| | 19 | | | 19 | ||
| | 459.9016 | | | 459.9016 | ||
| | | | | [[30/23]] | ||
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|- | |- | ||
| | 20 | | | 20 | ||
| | 484.1069 | | | 484.1069 | ||
| | | | | 45/34 | ||
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|- | |- | ||
| | 21 | | | 21 | ||
| | 508.3122 | | | 508.3122 | ||
| | | | | 51/38 | ||
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| Line 139: | Line 139: | ||
| | 26 | | | 26 | ||
| | 629.3390 | | | 629.3390 | ||
| | | | | [[23/16]] | ||
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| Line 168: | Line 168: | ||
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|32 | |32 | ||
|774. | |774.5710 | ||
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| Line 254: | Line 254: | ||
|49 | |49 | ||
|1186.0619 | |1186.0619 | ||
|2/1- | |(2/1-) | ||
| | | | ||
|- | |- | ||
|50 | |50 | ||
|1210.2672 | |1210.2672 | ||
|2/1+ | |(2/1+) | ||
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|- | |- | ||
| Line 283: | Line 283: | ||
|- | |- | ||
|55 | |55 | ||
|1331. | |1331.2940 | ||
|41/19 | |41/19 | ||
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| Line 298: | Line 298: | ||
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|58 | |58 | ||
|1403. | |1403.9100 | ||
|exact 9/4 | |exact 9/4 | ||
| | | | ||
Revision as of 14:53, 27 April 2021
29EDF is the equal division of the just perfect fifth into 29 parts of 24.2053 cents each, corresponding to 49.5758 edo. It is related to the sengagen temperament, which tempers out 3136/3125 and 420175/419904 in the 7-limit.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | exact 1/1 | ||
| 1 | 24.2053 | 72/71 | |
| 2 | 48.4107 | 36/35 | |
| 3 | 72.6160 | 24/23 | |
| 4 | 96.8214 | 37/35, 55/52 | |
| 5 | 121.0267 | 15/14 | |
| 6 | 145.2321 | 25/23, 37/34 | |
| 7 | 169.4374 | 54/49 | |
| 8 | 193.6428 | 19/17 | |
| 9 | 217.8481 | 17/15 | |
| 10 | 242.0534 | 23/20 | |
| 11 | 266.2588 | 7/6 | |
| 12 | 290.4641 | 71/60 | |
| 13 | 314.6695 | 6/5 | |
| 14 | 338.8748 | 45/37 | |
| 15 | 363.0802 | 37/30 | |
| 16 | 387.2855 | 5/4 | |
| 17 | 411.4909 | 90/71 | |
| 18 | 435.6962 | 9/7 | |
| 19 | 459.9016 | 30/23 | |
| 20 | 484.1069 | 45/34 | |
| 21 | 508.3122 | 51/38 | |
| 22 | 532.5176 | 49/36 | |
| 23 | 556.7229 | ||
| 24 | 580.9283 | 7/5 | |
| 25 | 605.1336 | ||
| 26 | 629.3390 | 23/16 | |
| 27 | 653.5443 | 35/24 | |
| 28 | 677.7497 | ||
| 29 | 701.9550 | exact 3/2 | just perfect fifth |
| 30 | 726.16035 | ||
| 31 | 750.3657 | ||
| 32 | 774.5710 | ||
| 33 | 798.7764 | ||
| 34 | 822.9817 | 45/28 | |
| 35 | 847.1871 | ||
| 36 | 871.3924 | 81/49 | |
| 37 | 895.5978 | 57/34 | |
| 38 | 919.8031 | 17/10 | |
| 39 | 944.00845 | ||
| 40 | 968.2138 | 7/4 | |
| 41 | 992.4191 | 16/9 | |
| 42 | 1016.6245 | 9/5 | |
| 43 | 1040.8298 | ||
| 44 | 1065.0352 | ||
| 45 | 1089.2405 | 15/8 | |
| 46 | 1113.4459 | ||
| 47 | 1137.6512 | 56/29 | |
| 48 | 1161.8566 | ||
| 49 | 1186.0619 | (2/1-) | |
| 50 | 1210.2672 | (2/1+) | |
| 51 | 1234.4726 | 49/24 | |
| 52 | 1258.6779 | 29/14 | |
| 53 | 1282.8833 | 21/10 | |
| 54 | 1307.0886 | 17/8 | |
| 55 | 1331.2940 | 41/19 | |
| 56 | 1355.4993 | 35/16 | |
| 57 | 1379.7047 | 20/9 | |
| 58 | 1403.9100 | exact 9/4 | |