53ed7: Difference between revisions
Created page with "'''Division of the 7th harmonic into 53 equal parts''' (53ed7) is related to 19edo and 30edt, but with the 7/1 rather than the 2/1 being just. The octave is ab..." Tags: Mobile edit Mobile web edit |
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'''[[Ed7|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]] and [[30edt]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic. | '''[[Ed7|Division of the 7th harmonic]] into 53 equal parts''' (53ed7) is related to [[19edo]] and [[30edt]], but with the 7/1 rather than the 2/1 being just. The octave is about 7.6923 cents stretched and the step size is about 63.5628 cents. The patent val has a generally sharp tendency for harmonics up to 16, with exception for 11th harmonic. | ||
{| class="wikitable" | |||
|- | |||
! | degree | |||
! | cents value | |||
! | corresponding <br>JI intervals | |||
! | comments | |||
|- | |||
| | 0 | |||
| | 0.0000 | |||
| | '''exact [[1/1]]''' | |||
| | | |||
|- | |||
| | 1 | |||
| | 63.5628 | |||
| | | |||
| | | |||
|- | |||
| | 2 | |||
| | 127.1255 | |||
| | | |||
| | | |||
|- | |||
| | 3 | |||
| | 190.6883 | |||
| | | |||
| | | |||
|- | |||
| | 4 | |||
| | 254.2510 | |||
| | | |||
| | | |||
|- | |||
| | 5 | |||
| | 317.8138 | |||
| | | |||
| | | |||
|- | |||
| | 6 | |||
| | 381.3765 | |||
| | | |||
| | | |||
|- | |||
| | 7 | |||
| | 444.9393 | |||
| | | |||
| | | |||
|- | |||
| | 8 | |||
| | 508.5020 | |||
| | | |||
| | | |||
|- | |||
| | 9 | |||
| | 572.0648 | |||
| | | |||
| | | |||
|- | |||
| | 10 | |||
| | 635.6275 | |||
| | | |||
| | | |||
|- | |||
| | 11 | |||
| | 699.1903 | |||
| | | |||
| | | |||
|- | |||
| | 12 | |||
| | 762.7530 | |||
| | | |||
| | | |||
|- | |||
| | 13 | |||
| | 826.3158 | |||
| | | |||
| | | |||
|- | |||
| | 14 | |||
| | 889.8785 | |||
| | | |||
| | | |||
|- | |||
| | 15 | |||
| | 953.4413 | |||
| | | |||
| | | |||
|- | |||
| | 16 | |||
| | 1017.0040 | |||
| | | |||
| | | |||
|- | |||
| | 17 | |||
| | 1080.5668 | |||
| | | |||
| | | |||
|- | |||
| | 18 | |||
| | 1144.1296 | |||
| | | |||
| | | |||
|- | |||
| | 19 | |||
| | 1207.6923 | |||
| | | |||
| | | |||
|- | |||
| | 20 | |||
| | 1271.2551 | |||
| | | |||
| | | |||
|- | |||
| | 21 | |||
| | 1334.8178 | |||
| | | |||
| | | |||
|- | |||
| | 22 | |||
| | 1398.3806 | |||
| | | |||
| | | |||
|- | |||
| | 23 | |||
| | 1461.9433 | |||
| | | |||
| | | |||
|- | |||
| | 24 | |||
| | 1525.5061 | |||
| | | |||
| | | |||
|- | |||
| | 25 | |||
| | 1589.0688 | |||
| | | |||
| | | |||
|- | |||
| | 26 | |||
| | 1652.6316 | |||
| | | |||
| | | |||
|- | |||
| | 27 | |||
| | 1716.1943 | |||
| | | |||
| | | |||
|- | |||
| | 28 | |||
| | 1779.7571 | |||
| | | |||
| | | |||
|- | |||
| | 29 | |||
| | 1843.3198 | |||
| | | |||
| | | |||
|- | |||
| | 30 | |||
| | 1906.8826 | |||
| | | |||
| | | |||
|- | |||
| | 31 | |||
| | 1970.4453 | |||
| | | |||
| | | |||
|- | |||
| | 32 | |||
| | 2034.0081 | |||
| | | |||
| | | |||
|- | |||
| | 33 | |||
| | | |||
| | | |||
| | | |||
|- | |||
| | 34 | |||
| | | |||
| | | |||
| | | |||
|- | |||
| | 35 | |||
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| | | |||
| | | |||
|- | |||
| | 36 | |||
| | | |||
| | | |||
| | | |||
|- | |||
| | 37 | |||
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| | | |||
| | | |||
|- | |||
| | 38 | |||
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| | | |||
| | | |||
|- | |||
| | 39 | |||
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| | | |||
|- | |||
| | 40 | |||
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|- | |||
| | 41 | |||
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|- | |||
| | 42 | |||
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|- | |||
| | 43 | |||
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|- | |||
| | 44 | |||
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|- | |||
| | 45 | |||
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|- | |||
| | 46 | |||
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| | | |||
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|- | |||
| | 47 | |||
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|- | |||
| | 48 | |||
| | | |||
| | | |||
| | | |||
|- | |||
| | 49 | |||
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|- | |||
| | 50 | |||
| | | |||
| | | |||
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|- | |||
| | 51 | |||
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| | | |||
| | | |||
|- | |||
| | 52 | |||
| | | |||
| | | |||
| | | |||
|- | |||
| | 53 | |||
| | 3368.8259 | |||
| | '''exact [[7/1]]''' | |||
| | [[7/4|harmonic seventh]] plus two octaves | |||
|} | |||
[[Category:Ed7]] | [[Category:Ed7]] | ||
[[Category:Edonoi]] | [[Category:Edonoi]] |