32edt: Difference between revisions
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| Line 7: | Line 7: | ||
! step | ! step | ||
! cents | ! cents | ||
!hekts | |||
|- | |- | ||
| | 1 | | | 1 | ||
| | 59.436 | | | 59.436 | ||
|40.625 | |||
|- | |- | ||
| | 2 | | | 2 | ||
| | 118.872 | | | 118.872 | ||
|81.25 | |||
|- | |- | ||
| | 3 | | | 3 | ||
| | 178.308 | | | 178.308 | ||
|121.875 | |||
|- | |- | ||
| | 4 | | | 4 | ||
| | 237.744 | | | 237.744 | ||
|162.5 | |||
|- | |- | ||
| | 5 | | | 5 | ||
| | 297.180 | | | 297.180 | ||
|203.125 | |||
|- | |- | ||
| | 6 | | | 6 | ||
| | 356.617 | | | 356.617 | ||
|243.75 | |||
|- | |- | ||
| | 7 | | | 7 | ||
| | 416.053 | | | 416.053 | ||
|284.375 | |||
|- | |- | ||
| | 8 | | | 8 | ||
| | 475.489 | | | 475.489 | ||
|325 | |||
|- | |- | ||
| | 9 | | | 9 | ||
| | 534.925 | | | 534.925 | ||
|365.625 | |||
|- | |- | ||
| | 10 | | | 10 | ||
| | 594.361 | | | 594.361 | ||
|406.25 | |||
|- | |- | ||
| | 11 | | | 11 | ||
| | 653.797 | | | 653.797 | ||
|446.875 | |||
|- | |- | ||
| | 12 | | | 12 | ||
| | 713.233 | | | 713.233 | ||
|487.5 | |||
|- | |- | ||
| | 13 | | | 13 | ||
| | 772.669 | | | 772.669 | ||
|528.125 | |||
|- | |- | ||
| | 14 | | | 14 | ||
| | 832.105 | | | 832.105 | ||
|568.75 | |||
|- | |- | ||
| | 15 | | | 15 | ||
| | 891.541 | | | 891.541 | ||
|609.375 | |||
|- | |- | ||
| | 16 | | | 16 | ||
| | 950.978 | | | 950.978 | ||
|650 | |||
|- | |- | ||
| | 17 | | | 17 | ||
| | 1010.414 | | | 1010.414 | ||
|690.625 | |||
|- | |- | ||
| | 18 | | | 18 | ||
| | 1069. | | | 1069.85 | ||
|731.25 | |||
|- | |- | ||
| | 19 | | | 19 | ||
| | 1129.286 | | | 1129.286 | ||
|774.875 | |||
|- | |- | ||
| | 20 | | | 20 | ||
| | 1188.722 | | | 1188.722 | ||
|812.5 | |||
|- | |- | ||
| | 21 | | | 21 | ||
| | 1248.158 | | | 1248.158 | ||
|853.125. | |||
|- | |- | ||
| | 22 | | | 22 | ||
| | 1307.594 | | | 1307.594 | ||
|893.75 | |||
|- | |- | ||
| | 23 | | | 23 | ||
| | 1367. | | | 1367.03 | ||
|934.375 | |||
|- | |- | ||
| | 24 | | | 24 | ||
| | 1426.466 | | | 1426.466 | ||
|975 | |||
|- | |- | ||
| | 25 | | | 25 | ||
| | 1485.902 | | | 1485.902 | ||
|1015.625 | |||
|- | |- | ||
| | 26 | | | 26 | ||
| | 1545.338 | | | 1545.338 | ||
|1056.25 | |||
|- | |- | ||
| | 27 | | | 27 | ||
| | 1604.775 | | | 1604.775 | ||
|1096.875 | |||
|- | |- | ||
| | 28 | | | 28 | ||
| | 1664.211 | | | 1664.211 | ||
|1137.5 | |||
|- | |- | ||
| | 29 | | | 29 | ||
| | 1723.647 | | | 1723.647 | ||
|1178.125 | |||
|- | |- | ||
| | 30 | | | 30 | ||
| | 1783.083 | | | 1783.083 | ||
|1218.75 | |||
|- | |- | ||
| | 31 | | | 31 | ||
| | 1842.519 | | | 1842.519 | ||
|1259.375 | |||
|- | |- | ||
| | 32 | | | 32 | ||
| | 1901.955 | | | 1901.955 | ||
|1300 | |||
|} | |} | ||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] | ||
Revision as of 20:11, 20 April 2019
32EDT is the equal division of the third harmonic into 32 parts of 59.4361 cents each, corresponding to 20.1898 edo. It has a distinct sharp tendency, in the sense that if 3 is pure, 5, 7, 11, 13, 17, and 19 are all sharp. It tempers out 3125/3087 and 885735/823543 in the 7-limit; 891/875, 1331/1323, and 2475/2401 in the 11-limit; 275/273, 351/343, 729/715, and 847/845 in the 13-limit; 121/119, 189/187, 225/221, 459/455, and 845/833 in the 17-limit; 135/133, 171/169, 247/245, 325/323, and 363/361 in the 19-limit (no-twos subgroup). It is the eighth zeta peak tritave division.
Intervals
| step | cents | hekts |
|---|---|---|
| 1 | 59.436 | 40.625 |
| 2 | 118.872 | 81.25 |
| 3 | 178.308 | 121.875 |
| 4 | 237.744 | 162.5 |
| 5 | 297.180 | 203.125 |
| 6 | 356.617 | 243.75 |
| 7 | 416.053 | 284.375 |
| 8 | 475.489 | 325 |
| 9 | 534.925 | 365.625 |
| 10 | 594.361 | 406.25 |
| 11 | 653.797 | 446.875 |
| 12 | 713.233 | 487.5 |
| 13 | 772.669 | 528.125 |
| 14 | 832.105 | 568.75 |
| 15 | 891.541 | 609.375 |
| 16 | 950.978 | 650 |
| 17 | 1010.414 | 690.625 |
| 18 | 1069.85 | 731.25 |
| 19 | 1129.286 | 774.875 |
| 20 | 1188.722 | 812.5 |
| 21 | 1248.158 | 853.125. |
| 22 | 1307.594 | 893.75 |
| 23 | 1367.03 | 934.375 |
| 24 | 1426.466 | 975 |
| 25 | 1485.902 | 1015.625 |
| 26 | 1545.338 | 1056.25 |
| 27 | 1604.775 | 1096.875 |
| 28 | 1664.211 | 1137.5 |
| 29 | 1723.647 | 1178.125 |
| 30 | 1783.083 | 1218.75 |
| 31 | 1842.519 | 1259.375 |
| 32 | 1901.955 | 1300 |