57edo: Difference between revisions
→Intervals: don't add the 19edo interpretation of 9 if you don't intend to add the corresponding 3 |
→Intervals: Fill in some more intervals that the automated interval table generator missed, including 3/2 and 4/3; also fix typo in one of the intervals filled in previously; attempt to recover from edit clash |
||
| Line 24: | Line 24: | ||
| 0 | | 0 | ||
| 0.00 | | 0.00 | ||
| [[1/1]] | |[[1/1]] | ||
| {{UDnote|step=0}} | | {{UDnote|step=0}} | ||
| {{UDnote|fifth=34|step=0}} | | {{UDnote|fifth=34|step=0}} | ||
| Line 42: | Line 42: | ||
| 3 | | 3 | ||
| 63.16 | | 63.16 | ||
| [[29/28]] | |[[29/28]] | ||
| {{UDnote|step=3}} | | {{UDnote|step=3}} | ||
| {{UDnote|fifth=34|step=3}} | | {{UDnote|fifth=34|step=3}} | ||
| Line 48: | Line 48: | ||
| 4 | | 4 | ||
| 84.21 | | 84.21 | ||
| [[20/19]], [[21/20]], [[22/21]] | |[[20/19]], [[21/20]], [[22/21]] | ||
| {{UDnote|step=4}} | | {{UDnote|step=4}} | ||
| {{UDnote|fifth=34|step=4}} | | {{UDnote|fifth=34|step=4}} | ||
| Line 54: | Line 54: | ||
| 5 | | 5 | ||
| 105.26 | | 105.26 | ||
| [[17/16]], [[33/31]] | |[[17/16]], [[33/31]] | ||
| {{UDnote|step=5}} | | {{UDnote|step=5}} | ||
| {{UDnote|fifth=34|step=5}} | | {{UDnote|fifth=34|step=5}} | ||
| Line 60: | Line 60: | ||
| 6 | | 6 | ||
| 126.32 | | 126.32 | ||
| [[14/13]] | |[[14/13]], ''[[16/15]]'' | ||
| {{UDnote|step=6}} | | {{UDnote|step=6}} | ||
| {{UDnote|fifth=34|step=6}} | | {{UDnote|fifth=34|step=6}} | ||
| Line 66: | Line 66: | ||
| 7 | | 7 | ||
| 147.37 | | 147.37 | ||
| [[12/11]] | |[[12/11]] | ||
| {{UDnote|step=7}} | | {{UDnote|step=7}} | ||
| {{UDnote|fifth=34|step=7}} | | {{UDnote|fifth=34|step=7}} | ||
| Line 72: | Line 72: | ||
| 8 | | 8 | ||
| 168.42 | | 168.42 | ||
| [[11/10]], [[32/29]] | |[[11/10]], [[32/29]] | ||
| {{UDnote|step=8}} | | {{UDnote|step=8}} | ||
| {{UDnote|fifth=34|step=8}} | | {{UDnote|fifth=34|step=8}} | ||
| Line 78: | Line 78: | ||
| 9 | | 9 | ||
| 189.47 | | 189.47 | ||
| [[19/17]], [[29/26]] | |''[[9/8]]'', [[10/9]],<br>[[19/17]], [[29/26]] | ||
| {{UDnote|step=9}} | | {{UDnote|step=9}} | ||
| {{UDnote|fifth=34|step=9}} | | {{UDnote|fifth=34|step=9}} | ||
| Line 84: | Line 84: | ||
| 10 | | 10 | ||
| 210.53 | | 210.53 | ||
| [[26/23]] | |[[26/23]] | ||
| {{UDnote|step=10}} | | {{UDnote|step=10}} | ||
| {{UDnote|fifth=34|step=10}} | | {{UDnote|fifth=34|step=10}} | ||
| Line 90: | Line 90: | ||
| 11 | | 11 | ||
| 231.58 | | 231.58 | ||
| [[8/7]] | |[[8/7]] | ||
| {{UDnote|step=11}} | | {{UDnote|step=11}} | ||
| {{UDnote|fifth=34|step=11}} | | {{UDnote|fifth=34|step=11}} | ||
| Line 96: | Line 96: | ||
| 12 | | 12 | ||
| 252.63 | | 252.63 | ||
| [[22/19]] | |[[22/19]] | ||
| {{UDnote|step=12}} | | {{UDnote|step=12}} | ||
| {{UDnote|fifth=34|step=12}} | | {{UDnote|fifth=34|step=12}} | ||
| Line 102: | Line 102: | ||
| 13 | | 13 | ||
| 273.68 | | 273.68 | ||
| [[7/6]], [[34/29]] | |[[7/6]], [[34/29]] | ||
| {{UDnote|step=13}} | | {{UDnote|step=13}} | ||
| {{UDnote|fifth=34|step=13}} | | {{UDnote|fifth=34|step=13}} | ||
| Line 108: | Line 108: | ||
| 14 | | 14 | ||
| 294.74 | | 294.74 | ||
| [[19/16]] | |[[19/16]] | ||
| {{UDnote|step=14}} | | {{UDnote|step=14}} | ||
| {{UDnote|fifth=34|step=14}} | | {{UDnote|fifth=34|step=14}} | ||
| Line 114: | Line 114: | ||
| 15 | | 15 | ||
| 315.79 | | 315.79 | ||
| [[6/5]] | |[[6/5]] | ||
| {{UDnote|step=15}} | | {{UDnote|step=15}} | ||
| {{UDnote|fifth=34|step=15}} | | {{UDnote|fifth=34|step=15}} | ||
| Line 120: | Line 120: | ||
| 16 | | 16 | ||
| 336.84 | | 336.84 | ||
| [[17/14]], [[28/23]] | |[[17/14]], [[28/23]] | ||
| {{UDnote|step=16}} | | {{UDnote|step=16}} | ||
| {{UDnote|fifth=34|step=16}} | | {{UDnote|fifth=34|step=16}} | ||
| Line 126: | Line 126: | ||
| 17 | | 17 | ||
| 357.89 | | 357.89 | ||
| [[16/13]] | |[[16/13]] | ||
| {{UDnote|step=17}} | | {{UDnote|step=17}} | ||
| {{UDnote|fifth=34|step=17}} | | {{UDnote|fifth=34|step=17}} | ||
| Line 132: | Line 132: | ||
| 18 | | 18 | ||
| 378.95 | | 378.95 | ||
| [[5/4]] | |[[5/4]] | ||
| {{UDnote|step=18}} | | {{UDnote|step=18}} | ||
| {{UDnote|fifth=34|step=18}} | | {{UDnote|fifth=34|step=18}} | ||
| Line 138: | Line 138: | ||
| 19 | | 19 | ||
| 400.00 | | 400.00 | ||
| [[24/19]], [[29/23]] | |[[24/19]], [[29/23]] | ||
| {{UDnote|step=19}} | | {{UDnote|step=19}} | ||
| {{UDnote|fifth=34|step=19}} | | {{UDnote|fifth=34|step=19}} | ||
| Line 144: | Line 144: | ||
| 20 | | 20 | ||
| 421.05 | | 421.05 | ||
| ''[[9/7]]'', [[14/11]] | |''[[9/7]]'', [[14/11]] | ||
| {{UDnote|step=20}} | | {{UDnote|step=20}} | ||
| {{UDnote|fifth=34|step=20}} | | {{UDnote|fifth=34|step=20}} | ||
| Line 150: | Line 150: | ||
| 21 | | 21 | ||
| 442.11 | | 442.11 | ||
| [[22/17]], [[31/24]] | |[[22/17]], [[31/24]] | ||
| {{UDnote|step=21}} | | {{UDnote|step=21}} | ||
| {{UDnote|fifth=34|step=21}} | | {{UDnote|fifth=34|step=21}} | ||
| Line 156: | Line 156: | ||
| 22 | | 22 | ||
| 463.16 | | 463.16 | ||
| [[17/13]], [[38/29]] | |[[17/13]], [[21/16]], [[38/29]] | ||
| {{UDnote|step=22}} | | {{UDnote|step=22}} | ||
| {{UDnote|fifth=34|step=22}} | | {{UDnote|fifth=34|step=22}} | ||
| Line 162: | Line 162: | ||
| 23 | | 23 | ||
| 484.21 | | 484.21 | ||
| [[33/25]] | |[[33/25]] | ||
| {{UDnote|step=23}} | | {{UDnote|step=23}} | ||
| {{UDnote|fifth=34|step=23}} | | {{UDnote|fifth=34|step=23}} | ||
| Line 168: | Line 168: | ||
| 24 | | 24 | ||
| 505.26 | | 505.26 | ||
| | |[[4/3]] | ||
| {{UDnote|step=24}} | | {{UDnote|step=24}} | ||
| {{UDnote|fifth=34|step=24}} | | {{UDnote|fifth=34|step=24}} | ||
| Line 174: | Line 174: | ||
| 25 | | 25 | ||
| 526.32 | | 526.32 | ||
| [[19/14]], [[23/17]] | |[[19/14]], [[23/17]] | ||
| {{UDnote|step=25}} | | {{UDnote|step=25}} | ||
| {{UDnote|fifth=34|step=25}} | | {{UDnote|fifth=34|step=25}} | ||
| Line 180: | Line 180: | ||
| 26 | | 26 | ||
| 547.37 | | 547.37 | ||
| [[11/8]], [[26/19]] | |[[11/8]], [[26/19]] | ||
| {{UDnote|step=26}} | | {{UDnote|step=26}} | ||
| {{UDnote|fifth=34|step=26}} | | {{UDnote|fifth=34|step=26}} | ||
| Line 186: | Line 186: | ||
| 27 | | 27 | ||
| 568.42 | | 568.42 | ||
| [[25/18]], [[32/23]] | |[[25/18]], [[32/23]] | ||
| {{UDnote|step=27}} | | {{UDnote|step=27}} | ||
| {{UDnote|fifth=34|step=27}} | | {{UDnote|fifth=34|step=27}} | ||
| Line 192: | Line 192: | ||
| 28 | | 28 | ||
| 589.47 | | 589.47 | ||
| [[31/22]] | |[[31/22]] | ||
| {{UDnote|step=28}} | | {{UDnote|step=28}} | ||
| {{UDnote|fifth=34|step=28}} | | {{UDnote|fifth=34|step=28}} | ||
| Line 198: | Line 198: | ||
| 29 | | 29 | ||
| 610.53 | | 610.53 | ||
| | |[[44/31]] | ||
| {{UDnote|step=29}} | | {{UDnote|step=29}} | ||
| {{UDnote|fifth=34|step=29}} | | {{UDnote|fifth=34|step=29}} | ||
| Line 204: | Line 204: | ||
| 30 | | 30 | ||
| 631.58 | | 631.58 | ||
| [[23/16]] | |[[23/16]] | ||
| {{UDnote|step=30}} | | {{UDnote|step=30}} | ||
| {{UDnote|fifth=34|step=30}} | | {{UDnote|fifth=34|step=30}} | ||
| Line 210: | Line 210: | ||
| 31 | | 31 | ||
| 652.63 | | 652.63 | ||
| [[16/11]], [[19/13]] | |[[16/11]], [[19/13]] | ||
| {{UDnote|step=31}} | | {{UDnote|step=31}} | ||
| {{UDnote|fifth=34|step=31}} | | {{UDnote|fifth=34|step=31}} | ||
| Line 216: | Line 216: | ||
| 32 | | 32 | ||
| 673.68 | | 673.68 | ||
| [[28/19]], [[31/21]], [[34/23]] | |[[28/19]], [[31/21]], [[34/23]] | ||
| {{UDnote|step=32}} | | {{UDnote|step=32}} | ||
| {{UDnote|fifth=34|step=32}} | | {{UDnote|fifth=34|step=32}} | ||
| Line 222: | Line 222: | ||
| 33 | | 33 | ||
| 694.74 | | 694.74 | ||
| | |[[3/2]] | ||
| {{UDnote|step=33}} | | {{UDnote|step=33}} | ||
| {{UDnote|fifth=34|step=33}} | | {{UDnote|fifth=34|step=33}} | ||
| Line 228: | Line 228: | ||
| 34 | | 34 | ||
| 715.79 | | 715.79 | ||
| | |[[50/33]] | ||
| {{UDnote|step=34}} | | {{UDnote|step=34}} | ||
| {{UDnote|fifth=34|step=34}} | | {{UDnote|fifth=34|step=34}} | ||
| Line 234: | Line 234: | ||
| 35 | | 35 | ||
| 736.84 | | 736.84 | ||
| [[26/17]], [[29/19]] | |[[26/17]], [[32/21]] [[29/19]] | ||
| {{UDnote|step=35}} | | {{UDnote|step=35}} | ||
| {{UDnote|fifth=34|step=35}} | | {{UDnote|fifth=34|step=35}} | ||
| Line 240: | Line 240: | ||
| 36 | | 36 | ||
| 757.89 | | 757.89 | ||
| [[17/11]], [[31/20]] | |[[17/11]], [[31/20]] | ||
| {{UDnote|step=36}} | | {{UDnote|step=36}} | ||
| {{UDnote|fifth=34|step=36}} | | {{UDnote|fifth=34|step=36}} | ||
| Line 246: | Line 246: | ||
| 37 | | 37 | ||
| 778.95 | | 778.95 | ||
| [[ | |''[[14/9]]'', [[11/7]] | ||
| {{UDnote|step=37}} | | {{UDnote|step=37}} | ||
| {{UDnote|fifth=34|step=37}} | | {{UDnote|fifth=34|step=37}} | ||
| Line 252: | Line 252: | ||
| 38 | | 38 | ||
| 800.00 | | 800.00 | ||
| [[19/12]] | |[[19/12]] | ||
| {{UDnote|step=38}} | | {{UDnote|step=38}} | ||
| {{UDnote|fifth=34|step=38}} | | {{UDnote|fifth=34|step=38}} | ||
| Line 258: | Line 258: | ||
| 39 | | 39 | ||
| 821.05 | | 821.05 | ||
| [[8/5]] | |[[8/5]] | ||
| {{UDnote|step=39}} | | {{UDnote|step=39}} | ||
| {{UDnote|fifth=34|step=39}} | | {{UDnote|fifth=34|step=39}} | ||
| Line 264: | Line 264: | ||
| 40 | | 40 | ||
| 842.11 | | 842.11 | ||
| [[13/8]] | |[[13/8]] | ||
| {{UDnote|step=40}} | | {{UDnote|step=40}} | ||
| {{UDnote|fifth=34|step=40}} | | {{UDnote|fifth=34|step=40}} | ||
| Line 270: | Line 270: | ||
| 41 | | 41 | ||
| 863.16 | | 863.16 | ||
| [[23/14]], [[28/17]], [[33/20]] | |[[23/14]], [[28/17]], [[33/20]] | ||
| {{UDnote|step=41}} | | {{UDnote|step=41}} | ||
| {{UDnote|fifth=34|step=41}} | | {{UDnote|fifth=34|step=41}} | ||
| Line 276: | Line 276: | ||
| 42 | | 42 | ||
| 884.21 | | 884.21 | ||
| [[5/3]] | |[[5/3]] | ||
| {{UDnote|step=42}} | | {{UDnote|step=42}} | ||
| {{UDnote|fifth=34|step=42}} | | {{UDnote|fifth=34|step=42}} | ||
| Line 282: | Line 282: | ||
| 43 | | 43 | ||
| 905.26 | | 905.26 | ||
| [[32/19]] | |[[32/19]] | ||
| {{UDnote|step=43}} | | {{UDnote|step=43}} | ||
| {{UDnote|fifth=34|step=43}} | | {{UDnote|fifth=34|step=43}} | ||
| Line 288: | Line 288: | ||
| 44 | | 44 | ||
| 926.32 | | 926.32 | ||
| [[12/7]], [[29/17]] | |[[12/7]], [[29/17]] | ||
| {{UDnote|step=44}} | | {{UDnote|step=44}} | ||
| {{UDnote|fifth=34|step=44}} | | {{UDnote|fifth=34|step=44}} | ||
| Line 294: | Line 294: | ||
| 45 | | 45 | ||
| 947.37 | | 947.37 | ||
| [[19/11]] | |[[19/11]] | ||
| {{UDnote|step=45}} | | {{UDnote|step=45}} | ||
| {{UDnote|fifth=34|step=45}} | | {{UDnote|fifth=34|step=45}} | ||
| Line 300: | Line 300: | ||
| 46 | | 46 | ||
| 968.42 | | 968.42 | ||
| [[7/4]] | |[[7/4]] | ||
| {{UDnote|step=46}} | | {{UDnote|step=46}} | ||
| {{UDnote|fifth=34|step=46}} | | {{UDnote|fifth=34|step=46}} | ||
| Line 306: | Line 306: | ||
| 47 | | 47 | ||
| 989.47 | | 989.47 | ||
| [[23/13]] | |[[23/13]] | ||
| {{UDnote|step=47}} | | {{UDnote|step=47}} | ||
| {{UDnote|fifth=34|step=47}} | | {{UDnote|fifth=34|step=47}} | ||
| Line 312: | Line 312: | ||
| 48 | | 48 | ||
| 1010.53 | | 1010.53 | ||
| [[34/19]], [[52/29]] | |''[[16/9]]'', [[9/5]],<br>[[34/19]], [[52/29]] | ||
| {{UDnote|step=48}} | | {{UDnote|step=48}} | ||
| {{UDnote|fifth=34|step=48}} | | {{UDnote|fifth=34|step=48}} | ||
| Line 318: | Line 318: | ||
| 49 | | 49 | ||
| 1031.58 | | 1031.58 | ||
| [[20/11]], [[29/16]] | |[[20/11]], [[29/16]] | ||
| {{UDnote|step=49}} | | {{UDnote|step=49}} | ||
| {{UDnote|fifth=34|step=49}} | | {{UDnote|fifth=34|step=49}} | ||
| Line 324: | Line 324: | ||
| 50 | | 50 | ||
| 1052.63 | | 1052.63 | ||
| [[11/6]] | |[[11/6]] | ||
| {{UDnote|step=50}} | | {{UDnote|step=50}} | ||
| {{UDnote|fifth=34|step=50}} | | {{UDnote|fifth=34|step=50}} | ||
| Line 330: | Line 330: | ||
| 51 | | 51 | ||
| 1073.68 | | 1073.68 | ||
| [[13/7]] | |[[13/7]], ''[[15/8]]'' | ||
| {{UDnote|step=51}} | | {{UDnote|step=51}} | ||
| {{UDnote|fifth=34|step=51}} | | {{UDnote|fifth=34|step=51}} | ||
| Line 336: | Line 336: | ||
| 52 | | 52 | ||
| 1094.74 | | 1094.74 | ||
| [[32/17]] | |[[32/17]] | ||
| {{UDnote|step=52}} | | {{UDnote|step=52}} | ||
| {{UDnote|fifth=34|step=52}} | | {{UDnote|fifth=34|step=52}} | ||
| Line 342: | Line 342: | ||
| 53 | | 53 | ||
| 1115.79 | | 1115.79 | ||
| [[19/10]], [[21/11]] | |[[19/10]], [[21/11]] | ||
| {{UDnote|step=53}} | | {{UDnote|step=53}} | ||
| {{UDnote|fifth=34|step=53}} | | {{UDnote|fifth=34|step=53}} | ||
| Line 348: | Line 348: | ||
| 54 | | 54 | ||
| 1136.84 | | 1136.84 | ||
| | |[[56/29]] | ||
| {{UDnote|step=54}} | | {{UDnote|step=54}} | ||
| {{UDnote|fifth=34|step=54}} | | {{UDnote|fifth=34|step=54}} | ||
| Line 366: | Line 366: | ||
| 57 | | 57 | ||
| 1200.00 | | 1200.00 | ||
| [[2/1]] | |[[2/1]] | ||
| {{UDnote|step=57}} | | {{UDnote|step=57}} | ||
| {{UDnote|fifth=34|step=57}} | | {{UDnote|fifth=34|step=57}} | ||