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'''[[EDF|Division of the just perfect fifth]] into 8 equal parts''' (8EDF) is related to the [[Tetracot family|octacot temperament]]. The step size is about 87.7444 cents (very nearly [[88cET]]), corresponding to 13.6761 edo (similar to every third step of [[41edo]]). | '''[[EDF|Division of the just perfect fifth]] into 8 equal parts''' (8EDF) is related to the [[Tetracot family|octacot temperament]]. The step size is about 87.7444 cents (very nearly [[88cET]]), corresponding to 13.6761 edo (similar to every third step of [[41edo]]). | ||
==Intervals== | |||
{| class="wikitable" | |||
|- | |||
!degree | |||
!cents value | |||
!octave-reduced cents value | |||
|- | |||
|0 | |||
|0 | |||
| | |||
|- | |||
|1 | |||
|87.7444 | |||
| | |||
|- | |||
|2 | |||
|175.48875 | |||
| | |||
|- | |||
|3 | |||
|263.2331 | |||
| | |||
|- | |||
|4 | |||
|350.9775 | |||
| | |||
|- | |||
|5 | |||
|438.7219 | |||
| | |||
|- | |||
|6 | |||
|526.46625 | |||
| | |||
|- | |||
|7 | |||
|614.2106 | |||
| | |||
|- | |||
|8 | |||
|701.955 | |||
| | |||
|- | |||
|9 | |||
|789.6994 | |||
| | |||
|- | |||
|10 | |||
|877.44375 | |||
| | |||
|- | |||
|11 | |||
|965.1881 | |||
| | |||
|- | |||
|12 | |||
|1052.9325 | |||
| | |||
|- | |||
|13 | |||
|1140.6769 | |||
| | |||
|- | |||
! colspan="3" |second octave | |||
|- | |||
|14 | |||
|1228.42125 | |||
|28.42125 | |||
|- | |||
|15 | |||
|1316.1656 | |||
|116.1656 | |||
|- | |||
|16 | |||
|1403.910 | |||
|203.910 | |||
|- | |||
|17 | |||
|1491.6544 | |||
|291.6544 | |||
|- | |||
|18 | |||
|1579.39875 | |||
|379.39875 | |||
|- | |||
|19 | |||
|1667.1431 | |||
|467.1431 | |||
|- | |||
|20 | |||
|1754.8875 | |||
|554.8875 | |||
|- | |||
|21 | |||
|1842.6319 | |||
|642.6139 | |||
|- | |||
|22 | |||
|1930.37625 | |||
|730.37625 | |||
|- | |||
|23 | |||
|2018.1206 | |||
|818.1206 | |||
|- | |||
|24 | |||
|2105.865 | |||
|905.865 | |||
|- | |||
|25 | |||
|2193.6094 | |||
|993.6049 | |||
|- | |||
|26 | |||
|2281.35375 | |||
|1081.35375 | |||
|- | |||
|27 | |||
|2369.0981 | |||
|1169.0981 | |||
|} | |||
[[Category:Edf]] | [[Category:Edf]] | ||
Revision as of 21:26, 20 February 2019
Division of the just perfect fifth into 8 equal parts (8EDF) is related to the octacot temperament. The step size is about 87.7444 cents (very nearly 88cET), corresponding to 13.6761 edo (similar to every third step of 41edo).
Intervals
| degree | cents value | octave-reduced cents value |
|---|---|---|
| 0 | 0 | |
| 1 | 87.7444 | |
| 2 | 175.48875 | |
| 3 | 263.2331 | |
| 4 | 350.9775 | |
| 5 | 438.7219 | |
| 6 | 526.46625 | |
| 7 | 614.2106 | |
| 8 | 701.955 | |
| 9 | 789.6994 | |
| 10 | 877.44375 | |
| 11 | 965.1881 | |
| 12 | 1052.9325 | |
| 13 | 1140.6769 | |
| second octave | ||
| 14 | 1228.42125 | 28.42125 |
| 15 | 1316.1656 | 116.1656 |
| 16 | 1403.910 | 203.910 |
| 17 | 1491.6544 | 291.6544 |
| 18 | 1579.39875 | 379.39875 |
| 19 | 1667.1431 | 467.1431 |
| 20 | 1754.8875 | 554.8875 |
| 21 | 1842.6319 | 642.6139 |
| 22 | 1930.37625 | 730.37625 |
| 23 | 2018.1206 | 818.1206 |
| 24 | 2105.865 | 905.865 |
| 25 | 2193.6094 | 993.6049 |
| 26 | 2281.35375 | 1081.35375 |
| 27 | 2369.0981 | 1169.0981 |