Würschmidt: Difference between revisions
Tags: Mobile edit Mobile web edit |
m got rid of stupidly high-odd-limit intervals |
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== Interval chain == | == Interval chain == | ||
In the below, octave-reduced harmonics | In the below, octave-reduced harmonics 1–33 are indicated in '''bold'''. All intervals are in the 165-[[odd limit]]. | ||
{| class="wikitable center-all right-2" | {| class="wikitable center-all right-2" | ||
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| 1 || 387.652 || '''5/4''', 144/115 || 69/55 | | 1 || 387.652 || '''5/4''', 144/115 || 69/55 | ||
|- | |- | ||
| 2 || 775.304 || '''25/16''', 36/23 || 69/44 | | 2 || 775.304 || '''25/16''', 36/23 || 69/44 | ||
|- | |- | ||
| 3 || 1162.956 || 45/23, | | 3 || 1162.956 || 45/23, 125/64 || 88/45, 108/55 | ||
|- | |- | ||
| 4 || 350.608 || 92/75 | | 4 || 350.608 || 92/75 || 11/9, 27/22 | ||
|- | |- | ||
| 5 || 738.260 || 23/15, 192/125 || 55/36, 135/88 | | 5 || 738.260 || 23/15, 192/125 || 55/36, 135/88 | ||
| Line 50: | Line 50: | ||
| 8 || 701.216 || '''3/2''' || 121/81 | | 8 || 701.216 || '''3/2''' || 121/81 | ||
|- | |- | ||
| 9 || 1088.868 || '''15/8''', 216/115 || | | 9 || 1088.868 || '''15/8''', 216/115 || | ||
|- | |- | ||
| 10 || 276.520 || 27/23, | | 10 || 276.520 || 27/23, 75/64 || 88/75 | ||
|- | |- | ||
| 11 || 664.172 || 184/125, 135/92 | | 11 || 664.172 || 184/125, 135/92 || 22/15, 81/55 | ||
|- | |- | ||
| 12 || 1051.824 || 46/25 | | 12 || 1051.824 || 46/25 || 11/6, 81/44 | ||
|- | |- | ||
| 13 || 239.476 || 23/20, 144/125 || 55/48, 132/115 | | 13 || 239.476 || 23/20, 144/125 || 55/48, 132/115 | ||
| Line 62: | Line 62: | ||
| 14 || 627.128 || '''23/16''', 36/25 || 33/23 | | 14 || 627.128 || '''23/16''', 36/25 || 33/23 | ||
|- | |- | ||
| 15 || 1014.780 || 9/5, | | 15 || 1014.780 || 9/5, 115/64 || 165/92, 242/135 | ||
|- | |- | ||
| 16 || 202.432 || '''9/8''' || 121/108 | | 16 || 202.432 || '''9/8''' || 121/108 | ||
|- | |- | ||
| 17 || 590.084 || | | 17 || 590.084 || 45/32, 162/115 || | ||
|- | |- | ||
| 18 || 977.736 || 81/46 | | 18 || 977.736 || 81/46 || 44/25 | ||
|- | |- | ||
| 19 || 165.388 || 138/125 | | 19 || 165.388 || 138/125 || 11/10 | ||
|- | |- | ||
| 20 || 553.040 || 69/50 | | 20 || 553.040 || 69/50 || '''11/8''' | ||
|- | |- | ||
| 21 || 940.692 || 69/40, 216/125 || | | 21 || 940.692 || 69/40, 216/125 || 55/32 | ||
|- | |- | ||
| 22 || 128.344 || 27/25, | | 22 || 128.344 || 27/25, 69/64 || 99/92 | ||
|- | |- | ||
| 23 || 515.996 || 27/20 | | 23 || 515.996 || 27/20 || | ||
|- | |- | ||
| 24 || 903.648 || '''27/16''' || | | 24 || 903.648 || '''27/16''' || | ||
|- | |- | ||
| 25 || 91.300 || 135/128 | | 25 || 91.300 || 135/128 || 132/125 | ||
|- | |- | ||
| 26 || 478.952 || | | 26 || 478.952 || || 33/25 | ||
|- | |- | ||
| 27 || 866.604 || 207/125 || 33/20 | | 27 || 866.604 || 207/125 || 33/20 | ||
|- | |- | ||
| 28 || 54.256 || | | 28 || 54.256 || || '''33/32''' | ||
|- | |- | ||
| 29 || 441.908 || 162/125 | | 29 || 441.908 || 162/125 || 165/128 | ||
|- | |- | ||
| 30 || 829.560 || 81/50 | | 30 || 829.560 || 81/50 || 121/75 | ||
|- | |- | ||
| 31 || 17.212 || 81/80 || 121/120 | | 31 || 17.212 || 81/80 || 121/120 | ||