71edt: Difference between revisions
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'''[[Edt|Division of the third harmonic]] into 71 equal parts''' (71edt) is related to [[45edo|45 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 5.4644 cents stretched and the step size is about 26.7881 cents. | '''[[Edt|Division of the third harmonic]] into 71 equal parts''' (71edt) is related to [[45edo|45 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 5.4644 cents stretched and the step size is about 26.7881 cents. It is related to the 13-limit temperament which tempers out 540/539, 1575/1573, 2200/2197, and 4375/4374, which is supported by [[45edo]] (45ef val), [[179edo]] (179ef val), [[224edo]], [[269edo]] (269ce val), and [[403edo]] (403def val). | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 40: | Line 40: | ||
| | 6 | | | 6 | ||
| | 160.7286 | | | 160.7286 | ||
| | | | | 169/154 | ||
| | | | | | ||
|- | |- | ||
| Line 55: | Line 55: | ||
| | 9 | | | 9 | ||
| | 241.0929 | | | 241.0929 | ||
| | | | | 169/147 | ||
| | | | | | ||
|- | |- | ||
| Line 80: | Line 80: | ||
| | 14 | | | 14 | ||
| | 375.0334 | | | 375.0334 | ||
| | | | | 273/220 | ||
| | | | | | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | 401.8215 | | | 401.8215 | ||
| | | | | 63/50 | ||
| | | | | | ||
|- | |- | ||
| Line 130: | Line 130: | ||
| | 24 | | | 24 | ||
| | 642.9144 | | | 642.9144 | ||
| | | | | 132/91 | ||
| | | | | | ||
|- | |- | ||
| Line 140: | Line 140: | ||
| | 26 | | | 26 | ||
| | 696.4906 | | | 696.4906 | ||
| | | | | 486/325, 220/147 | ||
| | | | | | ||
|- | |- | ||
| Line 150: | Line 150: | ||
| | 28 | | | 28 | ||
| | 750.0668 | | | 750.0668 | ||
| | | | | 54/35 | ||
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|- | |- | ||
| Line 225: | Line 225: | ||
| | 43 | | | 43 | ||
| | 1151.8882 | | | 1151.8882 | ||
| | | | | 35/18 | ||
| | | | | | ||
|- | |- | ||
| Line 235: | Line 235: | ||
| | 45 | | | 45 | ||
| | 1205.4644 | | | 1205.4644 | ||
| | | | | 441/220, 325/162 | ||
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|- | |- | ||
| Line 245: | Line 245: | ||
| | 47 | | | 47 | ||
| | 1259.0406 | | | 1259.0406 | ||
| | | | | 91/44 | ||
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|- | |- | ||
| Line 290: | Line 290: | ||
| | 56 | | | 56 | ||
| | 1500.1335 | | | 1500.1335 | ||
| | | | | 50/21 | ||
| | | | | | ||
|- | |- | ||
| | 57 | | | 57 | ||
| | 1526.9216 | | | 1526.9216 | ||
| | | | | 220/91 | ||
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|- | |- | ||
| Line 310: | Line 310: | ||
| | 60 | | | 60 | ||
| | 1607.2859 | | | 1607.2859 | ||
| | | | | 195/77 | ||
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|- | |- | ||
| Line 320: | Line 320: | ||
| | 62 | | | 62 | ||
| | 1660.8621 | | | 1660.8621 | ||
| | | | | 441/169 | ||
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|- | |- | ||
| Line 330: | Line 330: | ||
| | 64 | | | 64 | ||
| | 1714.4383 | | | 1714.4383 | ||
| | 35/13 | | | 35/13, 132/49 | ||
| | | | | | ||
|- | |- | ||
| | 65 | | | 65 | ||
| | 1741.2264 | | | 1741.2264 | ||
| | | | | 462/169 | ||
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|- | |- | ||