7ed5: Difference between revisions
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Created page with "'''Division of the 5th harmonic into 7 equal parts''' (7ed5) is related to 3 edo, but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656..." Tags: Mobile edit Mobile web edit |
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'''[[Ed5|Division of the 5th harmonic]] into 7 equal parts''' (7ed5) is related to [[3edo|3 edo]], but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656 cents compressed and the step size is about 398.0448 cents. It is related to the regular temperaments which temper out 441/440 and 244515348/244140625 in the 11-limit, which is supported by [[3edo|3]], [[12edo|12]], [[15edo|15]], [[175edo|175]], [[190edo|190]], [[202edo|202]], and/or [[217edo|217]] EDOs. | '''[[Ed5|Division of the 5th harmonic]] into 7 equal parts''' (7ed5) is related to [[3edo|3 edo]], but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656 cents compressed and the step size is about 398.0448 cents. It is related to the regular temperaments which temper out 441/440 and 244515348/244140625 in the 11-limit, which is supported by [[3edo|3]], [[12edo|12]], [[15edo|15]], [[175edo|175]], [[190edo|190]], [[202edo|202]], and/or [[217edo|217]] EDOs. | ||
Revision as of 20:43, 5 October 2022
| ← 6ed5 | 7ed5 | 8ed5 → |
(convergent)
(semiconvergent)
Division of the 5th harmonic into 7 equal parts (7ed5) is related to 3 edo, but with the 5/1 rather than the 2/1 being just. The octave is about 5.8656 cents compressed and the step size is about 398.0448 cents. It is related to the regular temperaments which temper out 441/440 and 244515348/244140625 in the 11-limit, which is supported by 3, 12, 15, 175, 190, 202, and/or 217 EDOs.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 398.0448 | 34/27 | pseudo-5/4 |
| 2 | 796.0896 | 19/12 | |
| 3 | 1194.1344 | 255/128 | pseudo-octave |
| 4 | 1592.1793 | 128/51 | pseudo-5/2 |
| 5 | 1990.2241 | 60/19 | |
| 6 | 2388.2689 | 135/34 | pseudo-4/1 |
| 7 | 2786.3137 | exact 5/1 | just major third plus two octaves |