Didacus: Difference between revisions
mNo edit summary |
separated out undecimal intervals in preparation for adding tridecimal didacus |
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| Line 23: | Line 23: | ||
{| class="wikitable sortable center-all right-2" | {| class="wikitable sortable center-all right-2" | ||
|- | |- | ||
! rowspan="3" | # !! rowspan="3" | Cents* !! colspan=" | ! rowspan="3" | # !! rowspan="3" | Cents* !! colspan="4" | Approximate ratios | ||
|- | |- | ||
! rowspan="2" | 2.5.7 | ! rowspan="2" | 2.5.7 intervals !! colspan="3" | Intervals of extensions | ||
|- | |- | ||
! Hemithirds !! Hemiwürschmidt | ! Undecimal didacus !! Hemithirds !! Hemiwürschmidt | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.0 | | 0.0 | ||
| '''1/1''' | | '''1/1''' | ||
| | |||
| | | | ||
| | | | ||
| Line 37: | Line 38: | ||
| 1 | | 1 | ||
| 194.4 | | 194.4 | ||
| 28/25 | | 28/25 | ||
| 49/44, 55/49 | |||
| | | | ||
| | | | ||
| Line 43: | Line 45: | ||
| 2 | | 2 | ||
| 388.9 | | 388.9 | ||
| '''5/4''' | | '''5/4''' | ||
| 44/35 | |||
| | | | ||
| 144/115 | | 144/115 | ||
| Line 55: | Line 58: | ||
| 4 | | 4 | ||
| 777.7 | | 777.7 | ||
| | | '''25/16''' | ||
| 11/7 | |||
| | | | ||
| 36/23 | | 36/23 | ||
| Line 61: | Line 65: | ||
| 5 | | 5 | ||
| 972.1 | | 972.1 | ||
| '''7/4''' | | '''7/4''' | ||
| 44/25 | |||
| | | | ||
| 184/105 | | 184/105 | ||
| Line 67: | Line 72: | ||
| 6 | | 6 | ||
| 1166.6 | | 1166.6 | ||
| 49/25 | | 49/25 | ||
| 55/28 | |||
| | | | ||
| 96/49, 45/23 | | 96/49, 45/23 | ||
| Line 73: | Line 79: | ||
| 7 | | 7 | ||
| 161.0 | | 161.0 | ||
| | | '''35/32''' | ||
| 11/10 | |||
| | | | ||
| 23/21, 126/115 | | 23/21, 126/115 | ||
| Line 79: | Line 86: | ||
| 8 | | 8 | ||
| 355.4 | | 355.4 | ||
| 49/40 | | 49/40 | ||
| 121/98 | |||
| 128/105 | | 128/105 | ||
| 60/49, 92/75 | | 60/49, 92/75 | ||
| Line 85: | Line 93: | ||
| 9 | | 9 | ||
| 549.9 | | 549.9 | ||
| 175/128 | |||
| '''11/8''' | | '''11/8''' | ||
| | | | ||
| Line 91: | Line 100: | ||
| 10 | | 10 | ||
| 744.3 | | 744.3 | ||
| 49/32 | | 49/32 | ||
| 77/50 | |||
| '''32/21''' | | '''32/21''' | ||
| 75/49, 23/15 | | 75/49, 23/15 | ||
| Line 97: | Line 107: | ||
| 11 | | 11 | ||
| 938.7 | | 938.7 | ||
| | |||
| 55/32, 121/70 | | 55/32, 121/70 | ||
| 128/75 | | 128/75 | ||
| Line 109: | Line 120: | ||
| 13 | | 13 | ||
| 127.6 | | 127.6 | ||
| | |||
| 121/112 | | 121/112 | ||
| '''16/15''' | | '''16/15''' | ||
| Line 115: | Line 127: | ||
| 14 | | 14 | ||
| 322.0 | | 322.0 | ||
| | |||
| 77/64, 121/100 | | 77/64, 121/100 | ||
| 25/21 | | 25/21 | ||
| Line 121: | Line 134: | ||
| 15 | | 15 | ||
| 516.4 | | 516.4 | ||
| | |||
| | | | ||
| '''4/3''' | | '''4/3''' | ||
| Line 127: | Line 141: | ||
| 16 | | 16 | ||
| 710.8 | | 710.8 | ||
| | |||
| 121/80 | | 121/80 | ||
| 112/75 | | 112/75 | ||
| Line 133: | Line 148: | ||
| 17 | | 17 | ||
| 905.3 | | 905.3 | ||
| | |||
| | | | ||
| 5/3 | | 5/3 | ||
| Line 139: | Line 155: | ||
| 18 | | 18 | ||
| 1099.7 | | 1099.7 | ||
| | |||
| 121/64 | | 121/64 | ||
| 28/15 | | 28/15 | ||
| Line 145: | Line 162: | ||
| 19 | | 19 | ||
| 94.1 | | 94.1 | ||
| | |||
| | | | ||
| 25/24 | | 25/24 | ||