49edo: Difference between revisions
→Regular temperament properties: +cents |
→Intervals: automate U&D notation |
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! # | ! # | ||
! Cents | ! Cents | ||
! Approximate Ratios | ! Approximate Ratios* | ||
! Notation | ! [[Ups and downs notation|Ups and Downs Notation]] | ||
|- | |- | ||
| 0 | | 0 | ||
| 0.000 | | 0.000 | ||
| [[1/1]] | | [[1/1]] | ||
| | | {{UDnote|step=0}} | ||
|- | |- | ||
| 1 | | 1 | ||
| 24.490 | | 24.490 | ||
| [[50/49]] | | [[50/49]] | ||
| | | {{UDnote|step=1}} | ||
|- | |- | ||
| 2 | | 2 | ||
| 48.980 | | 48.980 | ||
| ''[[81/80]]'', ''[[28/27]]'', [[36/35]], ''[[49/48]]'' | | ''[[81/80]]'', ''[[28/27]]'', [[36/35]], ''[[49/48]]'' | ||
| | | {{UDnote|step=2}} | ||
|- | |- | ||
| 3 | | 3 | ||
| 73.469 | | 73.469 | ||
| [[25/24]], [[22/21]], ''[[33/32]]'' | | [[25/24]], [[22/21]], ''[[33/32]]'' | ||
| | | {{UDnote|step=3}} | ||
|- | |- | ||
| 4 | | 4 | ||
| 97.959 | | 97.959 | ||
| ''[[16/15]]'', [[21/20]] | | ''[[16/15]]'', [[21/20]] | ||
| | | {{UDnote|step=4}} | ||
|- | |- | ||
| 5 | | 5 | ||
| 122.449 | | 122.449 | ||
| [[15/14]] | | [[15/14]] | ||
| | | {{UDnote|step=5}} | ||
|- | |- | ||
| 6 | | 6 | ||
| 146.939 | | 146.939 | ||
| [[12/11]] | | [[12/11]] | ||
| | | {{UDnote|step=6}} | ||
|- | |- | ||
| 7 | | 7 | ||
| 171.429 | | 171.429 | ||
| [[10/9]], [[11/10]] | | [[10/9]], [[11/10]] | ||
| | | {{UDnote|step=7}} | ||
|- | |- | ||
| 8 | | 8 | ||
| 195.918 | | 195.918 | ||
| [[28/25]] | | [[28/25]] | ||
| | | {{UDnote|step=8}} | ||
|- | |- | ||
| 9 | | 9 | ||
| 220.408 | | 220.408 | ||
| ''[[9/8]]'', [[8/7]] | | ''[[9/8]]'', [[8/7]] | ||
| | | {{UDnote|step=9}} | ||
|- | |- | ||
| 10 | | 10 | ||
| 244.898 | | 244.898 | ||
| 125/108, 144/125 | | 125/108, 144/125 | ||
| | | {{UDnote|step=10}} | ||
|- | |- | ||
| 11 | | 11 | ||
| 269.388 | | 269.388 | ||
| [[7/6]] | | [[7/6]] | ||
| | | {{UDnote|step=11}} | ||
|- | |- | ||
| 12 | | 12 | ||
| 293.878 | | 293.878 | ||
| [[25/21]], [[33/28]] | | [[25/21]], [[33/28]] | ||
| | | {{UDnote|step=12}} | ||
|- | |- | ||
| 13 | | 13 | ||
| 318.367 | | 318.367 | ||
| [[6/5]] | | [[6/5]] | ||
| | | {{UDnote|step=13}} | ||
|- | |- | ||
| 14 | | 14 | ||
| 342.857 | | 342.857 | ||
| [[11/9]] | | [[11/9]] | ||
| | | {{UDnote|step=14}} | ||
|- | |- | ||
| 15 | | 15 | ||
| 367.347 | | 367.347 | ||
| [[27/22]] | | [[27/22]] | ||
| | | {{UDnote|step=15}} | ||
|- | |- | ||
| 16 | | 16 | ||
| 391.837 | | 391.837 | ||
| [[5/4]] | | [[5/4]] | ||
| | | {{UDnote|step=16}} | ||
|- | |- | ||
| 17 | | 17 | ||
| 416.327 | | 416.327 | ||
| [[14/11]] | | [[14/11]] | ||
| | | {{UDnote|step=17}} | ||
|- | |- | ||
| 18 | | 18 | ||
| 440.816 | | 440.816 | ||
| [[9/7]] | | [[9/7]] | ||
| | | {{UDnote|step=18}} | ||
|- | |- | ||
| 19 | | 19 | ||
| 465.306 | | 465.306 | ||
| 125/96, ''162/125'' | | 125/96, ''162/125'' | ||
| | | {{UDnote|step=19}} | ||
|- | |- | ||
| 20 | | 20 | ||
| 489.796 | | 489.796 | ||
| [[4/3]], ''[[21/16]]'' | | [[4/3]], ''[[21/16]]'' | ||
| | | {{UDnote|step=20}} | ||
|- | |- | ||
| 21 | | 21 | ||
| 514.286 | | 514.286 | ||
| [[75/56]] | | [[75/56]] | ||
| | | {{UDnote|step=21}} | ||
|- | |- | ||
| 22 | | 22 | ||
| 538.776 | | 538.776 | ||
| ''[[27/20]]'', [[15/11]] | | ''[[27/20]]'', [[15/11]] | ||
| | | {{UDnote|step=22}} | ||
|- | |- | ||
| 23 | | 23 | ||
| 563.265 | | 563.265 | ||
| [[11/8]] | | [[11/8]] | ||
| | | {{UDnote|step=23}} | ||
|- | |- | ||
| 24 | | 24 | ||
| 587.755 | | 587.755 | ||
| [[7/5]] | | [[7/5]] | ||
| | | {{UDnote|step=24}} | ||
|- | |- | ||
| 25 | | 25 | ||
| 612.245 | | 612.245 | ||
| [[10/7]] | | [[10/7]] | ||
| | | {{UDnote|step=25}} | ||
|- | |- | ||
| 26 | | 26 | ||
| 636.735 | | 636.735 | ||
| [[16/11]] | | [[16/11]] | ||
| | | {{UDnote|step=26}} | ||
|- | |- | ||
| 27 | | 27 | ||
| 661.244 | | 661.244 | ||
| ''[[40/27]]'', [[22/15]] | | ''[[40/27]]'', [[22/15]] | ||
| | | {{UDnote|step=27}} | ||
|- | |- | ||
| 28 | | 28 | ||
| 685.714 | | 685.714 | ||
| [[112/75]] | | [[112/75]] | ||
| | | {{UDnote|step=28}} | ||
|- | |- | ||
| 29 | | 29 | ||
| 710.204 | | 710.204 | ||
| [[3/2]], ''[[32/21]]'' | | [[3/2]], ''[[32/21]]'' | ||
| | | {{UDnote|step=29}} | ||
|- | |- | ||
| 30 | | 30 | ||
| 734.694 | | 734.694 | ||
| ''125/81'', 192/125 | | ''125/81'', 192/125 | ||
| | | {{UDnote|step=30}} | ||
|- | |- | ||
| 31 | | 31 | ||
| 759.184 | | 759.184 | ||
| [[14/9]] | | [[14/9]] | ||
| | | {{UDnote|step=31}} | ||
|- | |- | ||
| 32 | | 32 | ||
| 783.673 | | 783.673 | ||
| [[11/7]] | | [[11/7]] | ||
| | | {{UDnote|step=32}} | ||
|- | |- | ||
| 33 | | 33 | ||
| 808.163 | | 808.163 | ||
| [[8/5]] | | [[8/5]] | ||
| | | {{UDnote|step=33}} | ||
|- | |- | ||
| 34 | | 34 | ||
| 832.653 | | 832.653 | ||
| [[44/27]] | | [[44/27]] | ||
| | | {{UDnote|step=34}} | ||
|- | |- | ||
| 35 | | 35 | ||
| 857.143 | | 857.143 | ||
| [[18/11]] | | [[18/11]] | ||
| | | {{UDnote|step=35}} | ||
|- | |- | ||
| 36 | | 36 | ||
| 881.633 | | 881.633 | ||
| [[5/3]] | | [[5/3]] | ||
| | | {{UDnote|step=36}} | ||
|- | |- | ||
| 37 | | 37 | ||
| 906.122 | | 906.122 | ||
| [[42/25]], [[56/33]] | | [[42/25]], [[56/33]] | ||
| | | {{UDnote|step=37}} | ||
|- | |- | ||
| 38 | | 38 | ||
| 930.612 | | 930.612 | ||
| [[12/7]] | | [[12/7]] | ||
| | | {{UDnote|step=38}} | ||
|- | |- | ||
| 39 | | 39 | ||
| 955.102 | | 955.102 | ||
| 125/72, 216/125 | | 125/72, 216/125 | ||
| | | {{UDnote|step=39}} | ||
|- | |- | ||
| 40 | | 40 | ||
| 979.592 | | 979.592 | ||
| ''[[16/9]]'', [[7/4]] | | ''[[16/9]]'', [[7/4]] | ||
| | | {{UDnote|step=40}} | ||
|- | |- | ||
| 41 | | 41 | ||
| 1004.082 | | 1004.082 | ||
| [[25/14]] | | [[25/14]] | ||
| | | {{UDnote|step=41}} | ||
|- | |- | ||
| 42 | | 42 | ||
| 1028.571 | | 1028.571 | ||
| [[9/5]], [[20/11]] | | [[9/5]], [[20/11]] | ||
| | | {{UDnote|step=42}} | ||
|- | |- | ||
| 43 | | 43 | ||
| 1053.061 | | 1053.061 | ||
| [[11/6]] | | [[11/6]] | ||
| | | {{UDnote|step=43}} | ||
|- | |- | ||
| 44 | | 44 | ||
| 1077.551 | | 1077.551 | ||
| [[28/15]] | | [[28/15]] | ||
| | | {{UDnote|step=44}} | ||
|- | |- | ||
| 45 | | 45 | ||
| 1102.041 | | 1102.041 | ||
| ''[[15/8]]'', [[40/21]] | | ''[[15/8]]'', [[40/21]] | ||
| | | {{UDnote|step=45}} | ||
|- | |- | ||
| 46 | | 46 | ||
| 1126.531 | | 1126.531 | ||
| [[48/25]], [[21/11]], ''[[64/33]]'' | | [[48/25]], [[21/11]], ''[[64/33]]'' | ||
| | | {{UDnote|step=46}} | ||
|- | |- | ||
| 47 | | 47 | ||
| 1151.020 | | 1151.020 | ||
| ''[[160/81]]'', ''[[27/14]]'', [[35/18]], ''[[96/49]]'' | | ''[[160/81]]'', ''[[27/14]]'', [[35/18]], ''[[96/49]]'' | ||
| | | {{UDnote|step=47}} | ||
|- | |- | ||
| 48 | | 48 | ||
| 1175.510 | | 1175.510 | ||
| [[49/25]] | | [[49/25]] | ||
| | | {{UDnote|step=48}} | ||
|- | |- | ||
| 49 | | 49 | ||
| 1200.000 | | 1200.000 | ||
| [[2/1]] | | [[2/1]] | ||
| | | {{UDnote|step=49}} | ||
|} | |} | ||
<nowiki>*</nowiki> based on 49edo's 11-limit patent val {{val| 49 78 114 138 170 }} mapping | <nowiki>*</nowiki> based on 49edo's 11-limit patent val {{val| 49 78 114 138 170 }} mapping | ||