49edo: Difference between revisions

Intervals: automate U&D notation
Line 15: Line 15:
! #
! #
! 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]]
| D
| {{UDnote|step=0}}
|-
|-
| 1
| 1
| 24.490
| 24.490
| [[50/49]]
| [[50/49]]
| ^D
| {{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]]''
| Eb/^^D
| {{UDnote|step=2}}
|-
|-
| 3
| 3
| 73.469
| 73.469
| [[25/24]], [[22/21]], ''[[33/32]]''
| [[25/24]], [[22/21]], ''[[33/32]]''
| ^Eb/^^^D
| {{UDnote|step=3}}
|-
|-
| 4
| 4
| 97.959
| 97.959
| ''[[16/15]]'', [[21/20]]
| ''[[16/15]]'', [[21/20]]
| ^^Eb/Fb/vvvD#
| {{UDnote|step=4}}
|-
|-
| 5
| 5
| 122.449
| 122.449
| [[15/14]]
| [[15/14]]
| ^^^Eb/vvD#
| {{UDnote|step=5}}
|-
|-
| 6
| 6
| 146.939
| 146.939
| [[12/11]]
| [[12/11]]
| vvvE/vD#
| {{UDnote|step=6}}
|-
|-
| 7
| 7
| 171.429
| 171.429
| [[10/9]], [[11/10]]
| [[10/9]], [[11/10]]
| vvE/D#
| {{UDnote|step=7}}
|-
|-
| 8
| 8
| 195.918
| 195.918
| [[28/25]]
| [[28/25]]
| vE
| {{UDnote|step=8}}
|-
|-
| 9
| 9
| 220.408
| 220.408
| ''[[9/8]]'', [[8/7]]
| ''[[9/8]]'', [[8/7]]
| E
| {{UDnote|step=9}}
|-
|-
| 10
| 10
| 244.898
| 244.898
| 125/108, 144/125
| 125/108, 144/125
| ^E/vF
| {{UDnote|step=10}}
|-
|-
| 11
| 11
| 269.388
| 269.388
| [[7/6]]
| [[7/6]]
| F
| {{UDnote|step=11}}
|-
|-
| 12
| 12
| 293.878
| 293.878
| [[25/21]], [[33/28]]
| [[25/21]], [[33/28]]
| ^F
| {{UDnote|step=12}}
|-
|-
| 13
| 13
| 318.367
| 318.367
| [[6/5]]
| [[6/5]]
| ^^F/Gb
| {{UDnote|step=13}}
|-
|-
| 14
| 14
| 342.857
| 342.857
| [[11/9]]
| [[11/9]]
| ^^^F/^Gb
| {{UDnote|step=14}}
|-
|-
| 15
| 15
| 367.347
| 367.347
| [[27/22]]
| [[27/22]]
| vvvF#/^^Gb
| {{UDnote|step=15}}
|-
|-
| 16
| 16
| 391.837
| 391.837
| [[5/4]]
| [[5/4]]
| vvF#/E#
| {{UDnote|step=16}}
|-
|-
| 17
| 17
| 416.327
| 416.327
| [[14/11]]
| [[14/11]]
| vF#
| {{UDnote|step=17}}
|-
|-
| 18
| 18
| 440.816
| 440.816
| [[9/7]]
| [[9/7]]
| F#
| {{UDnote|step=18}}
|-
|-
| 19
| 19
| 465.306
| 465.306
| 125/96, ''162/125''
| 125/96, ''162/125''
| ^F#
| {{UDnote|step=19}}
|-
|-
| 20
| 20
| 489.796
| 489.796
| [[4/3]], ''[[21/16]]''
| [[4/3]], ''[[21/16]]''
| G
| {{UDnote|step=20}}
|-
|-
| 21
| 21
| 514.286
| 514.286
| [[75/56]]
| [[75/56]]
| ^G/vAb
| {{UDnote|step=21}}
|-
|-
| 22
| 22
| 538.776
| 538.776
| ''[[27/20]]'', [[15/11]]
| ''[[27/20]]'', [[15/11]]
| Ab/^^G
| {{UDnote|step=22}}
|-
|-
| 23
| 23
| 563.265
| 563.265
| [[11/8]]
| [[11/8]]
| ^Ab/^^^G
| {{UDnote|step=23}}
|-
|-
| 24
| 24
| 587.755
| 587.755
| [[7/5]]
| [[7/5]]
| ^^Ab/vvvG#
| {{UDnote|step=24}}
|-
|-
| 25
| 25
| 612.245
| 612.245
| [[10/7]]
| [[10/7]]
| vvG#/^^^Ab
| {{UDnote|step=25}}
|-
|-
| 26
| 26
| 636.735
| 636.735
| [[16/11]]
| [[16/11]]
| vG#/vvvA
| {{UDnote|step=26}}
|-
|-
| 27
| 27
| 661.244
| 661.244
| ''[[40/27]]'', [[22/15]]
| ''[[40/27]]'', [[22/15]]
| G#/vvA
| {{UDnote|step=27}}
|-
|-
| 28
| 28
| 685.714
| 685.714
| [[112/75]]
| [[112/75]]
| vA/^G#
| {{UDnote|step=28}}
|-
|-
| 29
| 29
| 710.204
| 710.204
| [[3/2]], ''[[32/21]]''
| [[3/2]], ''[[32/21]]''
| A
| {{UDnote|step=29}}
|-
|-
| 30
| 30
| 734.694
| 734.694
| ''125/81'', 192/125
| ''125/81'', 192/125
| ^A/vBb
| {{UDnote|step=30}}
|-
|-
| 31
| 31
| 759.184
| 759.184
| [[14/9]]
| [[14/9]]
| Bb/^^A
| {{UDnote|step=31}}
|-
|-
| 32
| 32
| 783.673
| 783.673
| [[11/7]]
| [[11/7]]
| ^Bb/vCb/^^^A
| {{UDnote|step=32}}
|-
|-
| 33
| 33
| 808.163
| 808.163
| [[8/5]]
| [[8/5]]
| Cb/^^Bb/vvvA#
| {{UDnote|step=33}}
|-
|-
| 34
| 34
| 832.653
| 832.653
| [[44/27]]
| [[44/27]]
| ^^^Bb/^Cb/vvA#
| {{UDnote|step=34}}
|-
|-
| 35
| 35
| 857.143
| 857.143
| [[18/11]]
| [[18/11]]
| vvvB/^^Cb/vA#
| {{UDnote|step=35}}
|-
|-
| 36
| 36
| 881.633
| 881.633
| [[5/3]]
| [[5/3]]
| vvB/^^^Cb/A#
| {{UDnote|step=36}}
|-
|-
| 37
| 37
| 906.122
| 906.122
| [[42/25]], [[56/33]]
| [[42/25]], [[56/33]]
| vB/vvvC
| {{UDnote|step=37}}
|-
|-
| 38
| 38
| 930.612
| 930.612
| [[12/7]]
| [[12/7]]
| B/vvC
| {{UDnote|step=38}}
|-
|-
| 39
| 39
| 955.102
| 955.102
| 125/72, 216/125
| 125/72, 216/125
| ^B/vC
| {{UDnote|step=39}}
|-
|-
| 40
| 40
| 979.592
| 979.592
| ''[[16/9]]'', [[7/4]]
| ''[[16/9]]'', [[7/4]]
| C/^^B
| {{UDnote|step=40}}
|-
|-
| 41
| 41
| 1004.082
| 1004.082
| [[25/14]]
| [[25/14]]
| ^C/^^^B
| {{UDnote|step=41}}
|-
|-
| 42
| 42
| 1028.571
| 1028.571
| [[9/5]], [[20/11]]
| [[9/5]], [[20/11]]
| ^^C/vvvB#/Db
| {{UDnote|step=42}}
|-
|-
| 43
| 43
| 1053.061
| 1053.061
| [[11/6]]
| [[11/6]]
| ^^^C/vvB#/^Db
| {{UDnote|step=43}}
|-
|-
| 44
| 44
| 1077.551
| 1077.551
| [[28/15]]
| [[28/15]]
| vvvC#/vB#/^^Db
| {{UDnote|step=44}}
|-
|-
| 45
| 45
| 1102.041
| 1102.041
| ''[[15/8]]'', [[40/21]]
| ''[[15/8]]'', [[40/21]]
| vvC#/B#/^^^Db
| {{UDnote|step=45}}
|-
|-
| 46
| 46
| 1126.531
| 1126.531
| [[48/25]], [[21/11]], ''[[64/33]]''
| [[48/25]], [[21/11]], ''[[64/33]]''
| vC#/vvvD
| {{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]]''
| C#/vvD
| {{UDnote|step=47}}
|-
|-
| 48
| 48
| 1175.510
| 1175.510
| [[49/25]]
| [[49/25]]
| vD
| {{UDnote|step=48}}
|-
|-
| 49
| 49
| 1200.000
| 1200.000
| [[2/1]]
| [[2/1]]
| D
| {{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