72ed5: Difference between revisions
Created page with "'''Division of the 5th harmonic into 72 equal parts''' (72ed5) is related to 31edo, but with the 5/1 rather than the 2/1 being just. The octave is slightly compressed (abo..." Tags: Mobile edit Mobile web edit |
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'''Division of the 5th harmonic into 72 equal parts''' (72ed5) is related to [[31edo]], but with the 5/1 rather than the 2/1 being just. The octave is slightly compressed (about 0.3372 cents) and the step size is about 38.6988 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4. | '''Division of the 5th harmonic into 72 equal parts''' (72ed5) is related to [[31edo|31 edo]], but with the 5/1 rather than the 2/1 being just. The octave is slightly compressed (about 0.3372 cents) and the step size is about 38.6988 cents. This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4. | ||
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| | | | | 46/45, [[45/44]] | ||
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| | 77.3976 | | | 77.3976 | ||
| | | | | 23/22, 68/65, [[22/21]] | ||
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| | 116.0964 | | | 116.0964 | ||
| | [[ | | | [[15/14]] | ||
| | pseudo-[[16/15]] | |||
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| | 154.7952 | | | 154.7952 | ||
| | | | | 35/32, 23/21 | ||
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| | 193.4940 | | | 193.4940 | ||
| | | | | [[19/17]], 85/76 | ||
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| | 270.8916 | | | 270.8916 | ||
| | | | | 76/65 | ||
| | | | | pseudo-[[7/6]] | ||
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| | 8 | | | 8 | ||
| | 309.5904 | | | 309.5904 | ||
| | | | | 55/46 | ||
| | | | | pseudo-[[6/5]] | ||
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| | 9 | | | 9 | ||
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| | 11 | | | 11 | ||
| | 425.6868 | | | 425.6868 | ||
| | | | | 23/18 | ||
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| | 14 | | | 14 | ||
| | 541.7832 | | | 541.7832 | ||
| | | | | 175/128, [[26/19]] | ||
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| | 16 | | | 16 | ||
| | 619.1808 | | | 619.1808 | ||
| | | | | [[10/7]] | ||
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|- | |- | ||
| | 17 | | | 17 | ||
| | 657.8796 | | | 657.8796 | ||
| | | | | [[19/13]] | ||
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| | 19 | | | 19 | ||
| | 735.2772 | | | 735.2772 | ||
| | | | | [[55/36]], [[26/17]] | ||
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| | 20 | | | 20 | ||
| | 773.9760 | | | 773.9760 | ||
| | [[25/16]] | | | [[25/16]], 36/23 | ||
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| | 22 | | | 22 | ||
| | 851.3736 | | | 851.3736 | ||
| | | | | 85/52, [[18/11]] | ||
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| | 967.4700 | | | 967.4700 | ||
| | | | | [[7/4]] | ||
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| | 26 | | | 26 | ||
| | 1006.1688 | | | 1006.1688 | ||
| | | | | 25/14 | ||
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| | 27 | | | 27 | ||
| | 1044.8676 | | | 1044.8676 | ||
| | | | | 95/52, 64/35 | ||
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| | 29 | | | 29 | ||
| | 1122.2652 | | | 1122.2652 | ||
| | | | | [[21/11]], 65/34, 44/23 | ||
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| | 32 | | | 32 | ||
| | 1238.3617 | | | 1238.3617 | ||
| | | | | [[45/44|45/22]] | ||
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| | 35 | | | 35 | ||
| | 1354.4581 | | | 1354.4581 | ||
| | | | | 35/16 | ||
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| | 1431.8557 | | | 1431.8557 | ||
| | | | | 16/7 | ||
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| | 40 | | | 40 | ||
| | 1547.9521 | | | 1547.9521 | ||
| | | | | [[11/9|22/9]] | ||
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| | 43 | | | 43 | ||
| | 1664.0485 | | | 1664.0485 | ||
| | | | | 34/13 | ||
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| | 45 | | | 45 | ||
| | 1741.4461 | | | 1741.4461 | ||
| | [[ | | | 175/64, [[26/19|52/19]] | ||
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|- | |- | ||
| | 46 | | | 46 | ||
| | 1780.1449 | | | 1780.1449 | ||
| | | | | [[14/5]] | ||
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|- | |- | ||
| | 47 | | | 47 | ||
| | 1818.8437 | | | 1818.8437 | ||
| | | | | [[10/7|20/7]] | ||
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| | 50 | | | 50 | ||
| | 1934.9401 | | | 1934.9401 | ||
| | | | | [[55/36|55/18]], [[26/17|52/17]] | ||
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| | 52 | | | 52 | ||
| | 2012.3377 | | | 2012.3377 | ||
| | [[16/5]] | | | 115/36, [[16/5]] | ||
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|- | |- | ||
| | 53 | | | 53 | ||
| | 2051.0365 | | | 2051.0365 | ||
| | | | | 85/26, [[18/11|36/11]] | ||
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| | 55 | | | 55 | ||
| | 2128.4341 | | | 2128.4341 | ||
| | | | | 65/19 | ||
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|- | |- | ||
| | 56 | | | 56 | ||
| | 2167.1329 | | | 2167.1329 | ||
| | | | | [[7/2]] | ||
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| | 58 | | | 58 | ||
| | 2244.5305 | | | 2244.5305 | ||
| | | | | 95/26, 128/35 | ||
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| | 2360.6269 | | | 2360.6269 | ||
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| | | | | 90/23 | ||
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| | 62 | | | 62 | ||
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| | 64 | | | 64 | ||
| | 2476.7233 | | | 2476.7233 | ||
| | | | | 46/11 | ||
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| | 67 | | | 67 | ||
| | 2592.8197 | | | 2592.8197 | ||
| | | | | [[19/17|76/17]], 85/19 | ||
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|- | |- | ||
| | 68 | | | 68 | ||
| | 2631.5185 | | | 2631.5185 | ||
| | | | | 32/7 | ||
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| | 70 | | | 70 | ||
| | 2708.9161 | | | 2708.9161 | ||
| | | | | 110/23 | ||
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| | 71 | | | 71 | ||
| | 2747.6149 | | | 2747.6149 | ||
| | | | | [[11/9|44/9]] | ||
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