19edf: Difference between revisions
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'''19EDF''' is the [[EDF|equal division of the just perfect fifth]] into 19 parts of 36. | '''19EDF''' is the [[EDF|equal division of the just perfect fifth]] into 19 parts of 36.945 [[cent|cents]] each, corresponding to 32.4807 [[edo]] (similar to every second step of [[65edo]]). It tempers out the same commas as 65edo with the addition of |-103/19 65/19> (1.425 cents) resulting from its inexact 4/1. | ||
==Intervals== | ==Intervals== | ||
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|- | |- | ||
| | 0 | | | 0 | ||
| | | | | 0 | ||
| | '''exact [[1/1]]''' | | | '''exact [[1/1]]''' | ||
| | | | | | ||
|- | |- | ||
| | 1 | | | 1 | ||
| | 36. | | | 36.945 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 73. | | | 73.89 | ||
| | [[24/23]] | | | [[24/23]] | ||
| | | | | | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | 110. | | | 110.835 | ||
| | [[16/15]] | | | [[16/15]] | ||
| | | | | | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | 147. | | | 147.78 | ||
| | [[12/11]] | | | [[12/11]] | ||
| | | | | | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 184. | | | 184.725 | ||
| | [[10/9]] | | | [[10/9]] | ||
| | | | | | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 221. | | | 221.67 | ||
| | [[25/22]] | | | [[25/22]] | ||
| | | | | | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | 258. | | | 258.615 | ||
| | 36/31 | | | 36/31 | ||
| | | | | | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 295. | | | 295.56 | ||
| | [[19/16]] | | | [[19/16]] | ||
| | | | | | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 332. | | | 332.505 | ||
| | 63/52, 40/33 | | | 63/52, 40/33 | ||
| | | | | | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 369. | | | 369.45 | ||
| | [[26/21]] | | | [[26/21]] | ||
| | | | | | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | 406. | | | 406.395 | ||
| | [[24/19]], [[19/15]] | | | [[24/19]], [[19/15]] | ||
| | | | | | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | 443. | | | 443.34 | ||
| | 31/24 | | | 31/24 | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 480. | | | 480.285 | ||
| | 33/25 | | | 33/25 | ||
| | | | | | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 517. | | | 517.23 | ||
| | [[27/20]] | | | [[27/20]] | ||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 554. | | | 554.175 | ||
| | [[11/8]] | | | [[11/8]] | ||
| | | | | | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 591. | | | 591.12 | ||
| | [[45/32]] | | | [[45/32]] | ||
| | | | | | ||
|- | |- | ||
| | 17 | | | 17 | ||
| | 628. | | | 628.065 | ||
| | [[23/16]] | | | [[23/16]] | ||
| | | | | | ||
|- | |- | ||
| | 18 | | | 18 | ||
| | 665. | | | 665.01 | ||
| | [[22/15]] | | | [[22/15]] | ||
| | | | | | ||
|- | |- | ||
| | 19 | | | 19 | ||
| | 701. | | | 701.955 | ||
| | '''exact [[3/2]]''' | | | '''exact [[3/2]]''' | ||
| | just perfect fifth | | | just perfect fifth | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 738. | | | 738.9 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 21 | | | 21 | ||
| | 775. | | | 775.845 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 22 | | | 22 | ||
| | 812. | | | 812.79 | ||
| | [[8/5]] | | | [[8/5]] | ||
| | | | | | ||
|- | |- | ||
| | 23 | | | 23 | ||
| | 849. | | | 849.735 | ||
| | [[18/11]] | | | [[18/11]] | ||
| | | | | | ||
|- | |- | ||
| | 24 | | | 24 | ||
| | 886. | | | 886.68 | ||
| | [[5/3]] | | | [[5/3]] | ||
| | | | | | ||
|- | |- | ||
| | 25 | | | 25 | ||
| | 923. | | | 923.625 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 26 | | | 26 | ||
| | 960. | | | 960.57 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 27 | | | 27 | ||
| | 997. | | | 997.515 | ||
| | [[16/9]] | | | [[16/9]] | ||
| | | | | | ||
|- | |- | ||
| | 28 | | | 28 | ||
| | 1034. | | | 1034.46 | ||
| | [[20/11]] | | | [[20/11]] | ||
| | | | | | ||
|- | |- | ||
| | 29 | | | 29 | ||
| | 1071. | | | 1071.405 | ||
| | [[13/7]] | | | [[13/7]] | ||
| | | | | | ||
|- | |- | ||
| | 30 | | | 30 | ||
| | 1108. | | | 1108.35 | ||
| | [[36/19]] | | | [[36/19]] | ||
| | | | | | ||
|- | |- | ||
| | 31 | | | 31 | ||
| | 1145. | | | 1145.295 | ||
| | 31/16 | | | 31/16 | ||
| | | | | | ||
|- | |- | ||
| | 32 | | | 32 | ||
| | 1182. | | | 1182.24 | ||
| | | | | | ||
| | | | | | ||
|- | |- | ||
| | 33 | | | 33 | ||
| | 1219. | | | 1219.185 | ||
| | | | | | ||
| | | | | | ||
|- | |||
|34 | |||
|1256.13 | |||
| | |||
| | |||
|- | |||
|35 | |||
|1293.075 | |||
| | |||
| | |||
|- | |||
|36 | |||
|1330.02 | |||
| | |||
| | |||
|- | |||
|37 | |||
|1366.965 | |||
| | |||
| | |||
|- | |||
|38 | |||
|1403.91 | |||
|'''exact''' 9/4 | |||
| | |||
|} | |} | ||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] |