120edo: Difference between revisions
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{{Harmonics in equal|120}} | {{Harmonics in equal|120}} | ||
== Interval list == | |||
{|class="wikitable" | |||
|- | |||
!# | |||
!Cents | |||
![[Ups and downs notation]] (fifth 7\12) | |||
![[Ups and downs notation]] (fifth 71\120) | |||
|- | |||
|0 | |||
|0 | |||
|{{UDnote|step=0}} | |||
|{{UDnote|fifth=71|step=0}} | |||
|- | |||
|1 | |||
|10 | |||
|{{UDnote|step=1}} | |||
|{{UDnote|fifth=71|step=1}} | |||
|- | |||
|2 | |||
|20 | |||
|{{UDnote|step=2}} | |||
|{{UDnote|fifth=71|step=2}} | |||
|- | |||
|3 | |||
|30 | |||
|{{UDnote|step=3}} | |||
|{{UDnote|fifth=71|step=3}} | |||
|- | |||
|4 | |||
|40 | |||
|{{UDnote|step=4}} | |||
|{{UDnote|fifth=71|step=4}} | |||
|- | |||
|5 | |||
|50 | |||
|{{UDnote|step=5}} | |||
|{{UDnote|fifth=71|step=5}} | |||
|- | |||
|6 | |||
|60 | |||
|{{UDnote|step=6}} | |||
|{{UDnote|fifth=71|step=6}} | |||
|- | |||
|7 | |||
|70 | |||
|{{UDnote|step=7}} | |||
|{{UDnote|fifth=71|step=7}} | |||
|- | |||
|8 | |||
|80 | |||
|{{UDnote|step=8}} | |||
|{{UDnote|fifth=71|step=8}} | |||
|- | |||
|9 | |||
|90 | |||
|{{UDnote|step=9}} | |||
|{{UDnote|fifth=71|step=9}} | |||
|- | |||
|10 | |||
|100 | |||
|{{UDnote|step=10}} | |||
|{{UDnote|fifth=71|step=10}} | |||
|- | |||
|11 | |||
|110 | |||
|{{UDnote|step=11}} | |||
|{{UDnote|fifth=71|step=11}} | |||
|- | |||
|12 | |||
|120 | |||
|{{UDnote|step=12}} | |||
|{{UDnote|fifth=71|step=12}} | |||
|- | |||
|13 | |||
|130 | |||
|{{UDnote|step=13}} | |||
|{{UDnote|fifth=71|step=13}} | |||
|- | |||
|14 | |||
|140 | |||
|{{UDnote|step=14}} | |||
|{{UDnote|fifth=71|step=14}} | |||
|- | |||
|15 | |||
|150 | |||
|{{UDnote|step=15}} | |||
|{{UDnote|fifth=71|step=15}} | |||
|- | |||
|16 | |||
|160 | |||
|{{UDnote|step=16}} | |||
|{{UDnote|fifth=71|step=16}} | |||
|- | |||
|17 | |||
|170 | |||
|{{UDnote|step=17}} | |||
|{{UDnote|fifth=71|step=17}} | |||
|- | |||
|18 | |||
|180 | |||
|{{UDnote|step=18}} | |||
|{{UDnote|fifth=71|step=18}} | |||
|- | |||
|19 | |||
|190 | |||
|{{UDnote|step=19}} | |||
|{{UDnote|fifth=71|step=19}} | |||
|- | |||
|20 | |||
|200 | |||
|{{UDnote|step=20}} | |||
|{{UDnote|fifth=71|step=20}} | |||
|- | |||
|21 | |||
|210 | |||
|{{UDnote|step=21}} | |||
|{{UDnote|fifth=71|step=21}} | |||
|- | |||
|22 | |||
|220 | |||
|{{UDnote|step=22}} | |||
|{{UDnote|fifth=71|step=22}} | |||
|- | |||
|23 | |||
|230 | |||
|{{UDnote|step=23}} | |||
|{{UDnote|fifth=71|step=23}} | |||
|- | |||
|24 | |||
|240 | |||
|{{UDnote|step=24}} | |||
|{{UDnote|fifth=71|step=24}} | |||
|- | |||
|25 | |||
|250 | |||
|{{UDnote|step=25}} | |||
|{{UDnote|fifth=71|step=25}} | |||
|- | |||
|26 | |||
|260 | |||
|{{UDnote|step=26}} | |||
|{{UDnote|fifth=71|step=26}} | |||
|- | |||
|27 | |||
|270 | |||
|{{UDnote|step=27}} | |||
|{{UDnote|fifth=71|step=27}} | |||
|- | |||
|28 | |||
|280 | |||
|{{UDnote|step=28}} | |||
|{{UDnote|fifth=71|step=28}} | |||
|- | |||
|29 | |||
|290 | |||
|{{UDnote|step=29}} | |||
|{{UDnote|fifth=71|step=29}} | |||
|- | |||
|30 | |||
|300 | |||
|{{UDnote|step=30}} | |||
|{{UDnote|fifth=71|step=30}} | |||
|- | |||
|31 | |||
|310 | |||
|{{UDnote|step=31}} | |||
|{{UDnote|fifth=71|step=31}} | |||
|- | |||
|32 | |||
|320 | |||
|{{UDnote|step=32}} | |||
|{{UDnote|fifth=71|step=32}} | |||
|- | |||
|33 | |||
|330 | |||
|{{UDnote|step=33}} | |||
|{{UDnote|fifth=71|step=33}} | |||
|- | |||
|34 | |||
|340 | |||
|{{UDnote|step=34}} | |||
|{{UDnote|fifth=71|step=34}} | |||
|- | |||
|35 | |||
|350 | |||
|{{UDnote|step=35}} | |||
|{{UDnote|fifth=71|step=35}} | |||
|- | |||
|36 | |||
|360 | |||
|{{UDnote|step=36}} | |||
|{{UDnote|fifth=71|step=36}} | |||
|- | |||
|37 | |||
|370 | |||
|{{UDnote|step=37}} | |||
|{{UDnote|fifth=71|step=37}} | |||
|- | |||
|38 | |||
|380 | |||
|{{UDnote|step=38}} | |||
|{{UDnote|fifth=71|step=38}} | |||
|- | |||
|39 | |||
|390 | |||
|{{UDnote|step=39}} | |||
|{{UDnote|fifth=71|step=39}} | |||
|- | |||
|40 | |||
|400 | |||
|{{UDnote|step=40}} | |||
|{{UDnote|fifth=71|step=40}} | |||
|- | |||
|41 | |||
|410 | |||
|{{UDnote|step=41}} | |||
|{{UDnote|fifth=71|step=41}} | |||
|- | |||
|42 | |||
|420 | |||
|{{UDnote|step=42}} | |||
|{{UDnote|fifth=71|step=42}} | |||
|- | |||
|43 | |||
|430 | |||
|{{UDnote|step=43}} | |||
|{{UDnote|fifth=71|step=43}} | |||
|- | |||
|44 | |||
|440 | |||
|{{UDnote|step=44}} | |||
|{{UDnote|fifth=71|step=44}} | |||
|- | |||
|45 | |||
|450 | |||
|{{UDnote|step=45}} | |||
|{{UDnote|fifth=71|step=45}} | |||
|- | |||
|46 | |||
|460 | |||
|{{UDnote|step=46}} | |||
|{{UDnote|fifth=71|step=46}} | |||
|- | |||
|47 | |||
|470 | |||
|{{UDnote|step=47}} | |||
|{{UDnote|fifth=71|step=47}} | |||
|- | |||
|48 | |||
|480 | |||
|{{UDnote|step=48}} | |||
|{{UDnote|fifth=71|step=48}} | |||
|- | |||
|49 | |||
|490 | |||
|{{UDnote|step=49}} | |||
|{{UDnote|fifth=71|step=49}} | |||
|- | |||
|50 | |||
|500 | |||
|{{UDnote|step=50}} | |||
|{{UDnote|fifth=71|step=50}} | |||
|- | |||
|51 | |||
|510 | |||
|{{UDnote|step=51}} | |||
|{{UDnote|fifth=71|step=51}} | |||
|- | |||
|52 | |||
|520 | |||
|{{UDnote|step=52}} | |||
|{{UDnote|fifth=71|step=52}} | |||
|- | |||
|53 | |||
|530 | |||
|{{UDnote|step=53}} | |||
|{{UDnote|fifth=71|step=53}} | |||
|- | |||
|54 | |||
|540 | |||
|{{UDnote|step=54}} | |||
|{{UDnote|fifth=71|step=54}} | |||
|- | |||
|55 | |||
|550 | |||
|{{UDnote|step=55}} | |||
|{{UDnote|fifth=71|step=55}} | |||
|- | |||
|56 | |||
|560 | |||
|{{UDnote|step=56}} | |||
|{{UDnote|fifth=71|step=56}} | |||
|- | |||
|57 | |||
|570 | |||
|{{UDnote|step=57}} | |||
|{{UDnote|fifth=71|step=57}} | |||
|- | |||
|58 | |||
|580 | |||
|{{UDnote|step=58}} | |||
|{{UDnote|fifth=71|step=58}} | |||
|- | |||
|59 | |||
|590 | |||
|{{UDnote|step=59}} | |||
|{{UDnote|fifth=71|step=59}} | |||
|- | |||
|60 | |||
|600 | |||
|{{UDnote|step=60}} | |||
|{{UDnote|fifth=71|step=60}} | |||
|- | |||
|61 | |||
|610 | |||
|{{UDnote|step=61}} | |||
|{{UDnote|fifth=71|step=61}} | |||
|- | |||
|62 | |||
|620 | |||
|{{UDnote|step=62}} | |||
|{{UDnote|fifth=71|step=62}} | |||
|- | |||
|63 | |||
|630 | |||
|{{UDnote|step=63}} | |||
|{{UDnote|fifth=71|step=63}} | |||
|- | |||
|64 | |||
|640 | |||
|{{UDnote|step=64}} | |||
|{{UDnote|fifth=71|step=64}} | |||
|- | |||
|65 | |||
|650 | |||
|{{UDnote|step=65}} | |||
|{{UDnote|fifth=71|step=65}} | |||
|- | |||
|66 | |||
|660 | |||
|{{UDnote|step=66}} | |||
|{{UDnote|fifth=71|step=66}} | |||
|- | |||
|67 | |||
|670 | |||
|{{UDnote|step=67}} | |||
|{{UDnote|fifth=71|step=67}} | |||
|- | |||
|68 | |||
|680 | |||
|{{UDnote|step=68}} | |||
|{{UDnote|fifth=71|step=68}} | |||
|- | |||
|69 | |||
|690 | |||
|{{UDnote|step=69}} | |||
|{{UDnote|fifth=71|step=69}} | |||
|- | |||
|70 | |||
|700 | |||
|{{UDnote|step=70}} | |||
|{{UDnote|fifth=71|step=70}} | |||
|- | |||
|71 | |||
|710 | |||
|{{UDnote|step=71}} | |||
|{{UDnote|fifth=71|step=71}} | |||
|- | |||
|72 | |||
|720 | |||
|{{UDnote|step=72}} | |||
|{{UDnote|fifth=71|step=72}} | |||
|- | |||
|73 | |||
|730 | |||
|{{UDnote|step=73}} | |||
|{{UDnote|fifth=71|step=73}} | |||
|- | |||
|74 | |||
|740 | |||
|{{UDnote|step=74}} | |||
|{{UDnote|fifth=71|step=74}} | |||
|- | |||
|75 | |||
|750 | |||
|{{UDnote|step=75}} | |||
|{{UDnote|fifth=71|step=75}} | |||
|- | |||
|76 | |||
|760 | |||
|{{UDnote|step=76}} | |||
|{{UDnote|fifth=71|step=76}} | |||
|- | |||
|77 | |||
|770 | |||
|{{UDnote|step=77}} | |||
|{{UDnote|fifth=71|step=77}} | |||
|- | |||
|78 | |||
|780 | |||
|{{UDnote|step=78}} | |||
|{{UDnote|fifth=71|step=78}} | |||
|- | |||
|79 | |||
|790 | |||
|{{UDnote|step=79}} | |||
|{{UDnote|fifth=71|step=79}} | |||
|- | |||
|80 | |||
|800 | |||
|{{UDnote|step=80}} | |||
|{{UDnote|fifth=71|step=80}} | |||
|- | |||
|81 | |||
|810 | |||
|{{UDnote|step=81}} | |||
|{{UDnote|fifth=71|step=81}} | |||
|- | |||
|82 | |||
|820 | |||
|{{UDnote|step=82}} | |||
|{{UDnote|fifth=71|step=82}} | |||
|- | |||
|83 | |||
|830 | |||
|{{UDnote|step=83}} | |||
|{{UDnote|fifth=71|step=83}} | |||
|- | |||
|84 | |||
|840 | |||
|{{UDnote|step=84}} | |||
|{{UDnote|fifth=71|step=84}} | |||
|- | |||
|85 | |||
|850 | |||
|{{UDnote|step=85}} | |||
|{{UDnote|fifth=71|step=85}} | |||
|- | |||
|86 | |||
|860 | |||
|{{UDnote|step=86}} | |||
|{{UDnote|fifth=71|step=86}} | |||
|- | |||
|87 | |||
|870 | |||
|{{UDnote|step=87}} | |||
|{{UDnote|fifth=71|step=87}} | |||
|- | |||
|88 | |||
|880 | |||
|{{UDnote|step=88}} | |||
|{{UDnote|fifth=71|step=88}} | |||
|- | |||
|89 | |||
|890 | |||
|{{UDnote|step=89}} | |||
|{{UDnote|fifth=71|step=89}} | |||
|- | |||
|90 | |||
|900 | |||
|{{UDnote|step=90}} | |||
|{{UDnote|fifth=71|step=90}} | |||
|- | |||
|91 | |||
|910 | |||
|{{UDnote|step=91}} | |||
|{{UDnote|fifth=71|step=91}} | |||
|- | |||
|92 | |||
|920 | |||
|{{UDnote|step=92}} | |||
|{{UDnote|fifth=71|step=92}} | |||
|- | |||
|93 | |||
|930 | |||
|{{UDnote|step=93}} | |||
|{{UDnote|fifth=71|step=93}} | |||
|- | |||
|94 | |||
|940 | |||
|{{UDnote|step=94}} | |||
|{{UDnote|fifth=71|step=94}} | |||
|- | |||
|95 | |||
|950 | |||
|{{UDnote|step=95}} | |||
|{{UDnote|fifth=71|step=95}} | |||
|- | |||
|96 | |||
|960 | |||
|{{UDnote|step=96}} | |||
|{{UDnote|fifth=71|step=96}} | |||
|- | |||
|97 | |||
|970 | |||
|{{UDnote|step=97}} | |||
|{{UDnote|fifth=71|step=97}} | |||
|- | |||
|98 | |||
|980 | |||
|{{UDnote|step=98}} | |||
|{{UDnote|fifth=71|step=98}} | |||
|- | |||
|99 | |||
|990 | |||
|{{UDnote|step=99}} | |||
|{{UDnote|fifth=71|step=99}} | |||
|- | |||
|100 | |||
|1000 | |||
|{{UDnote|step=100}} | |||
|{{UDnote|fifth=71|step=100}} | |||
|- | |||
|101 | |||
|1010 | |||
|{{UDnote|step=101}} | |||
|{{UDnote|fifth=71|step=101}} | |||
|- | |||
|102 | |||
|1020 | |||
|{{UDnote|step=102}} | |||
|{{UDnote|fifth=71|step=102}} | |||
|- | |||
|103 | |||
|1030 | |||
|{{UDnote|step=103}} | |||
|{{UDnote|fifth=71|step=103}} | |||
|- | |||
|104 | |||
|1040 | |||
|{{UDnote|step=104}} | |||
|{{UDnote|fifth=71|step=104}} | |||
|- | |||
|105 | |||
|1050 | |||
|{{UDnote|step=105}} | |||
|{{UDnote|fifth=71|step=105}} | |||
|- | |||
|106 | |||
|1060 | |||
|{{UDnote|step=106}} | |||
|{{UDnote|fifth=71|step=106}} | |||
|- | |||
|107 | |||
|1070 | |||
|{{UDnote|step=107}} | |||
|{{UDnote|fifth=71|step=107}} | |||
|- | |||
|108 | |||
|1080 | |||
|{{UDnote|step=108}} | |||
|{{UDnote|fifth=71|step=108}} | |||
|- | |||
|109 | |||
|1090 | |||
|{{UDnote|step=109}} | |||
|{{UDnote|fifth=71|step=109}} | |||
|- | |||
|110 | |||
|1100 | |||
|{{UDnote|step=110}} | |||
|{{UDnote|fifth=71|step=110}} | |||
|- | |||
|111 | |||
|1110 | |||
|{{UDnote|step=111}} | |||
|{{UDnote|fifth=71|step=111}} | |||
|- | |||
|112 | |||
|1120 | |||
|{{UDnote|step=112}} | |||
|{{UDnote|fifth=71|step=112}} | |||
|- | |||
|113 | |||
|1130 | |||
|{{UDnote|step=113}} | |||
|{{UDnote|fifth=71|step=113}} | |||
|- | |||
|114 | |||
|1140 | |||
|{{UDnote|step=114}} | |||
|{{UDnote|fifth=71|step=114}} | |||
|- | |||
|115 | |||
|1150 | |||
|{{UDnote|step=115}} | |||
|{{UDnote|fifth=71|step=115}} | |||
|- | |||
|116 | |||
|1160 | |||
|{{UDnote|step=116}} | |||
|{{UDnote|fifth=71|step=116}} | |||
|- | |||
|117 | |||
|1170 | |||
|{{UDnote|step=117}} | |||
|{{UDnote|fifth=71|step=117}} | |||
|- | |||
|118 | |||
|1180 | |||
|{{UDnote|step=118}} | |||
|{{UDnote|fifth=71|step=118}} | |||
|- | |||
|119 | |||
|1190 | |||
|{{UDnote|step=119}} | |||
|{{UDnote|fifth=71|step=119}} | |||
|} | |||
=== Miscellaneous properties === | === Miscellaneous properties === | ||
Being the simplest division of the octave by the Germanic [[wikipedia:Long_hundred|long hundred]], it has a unit step which is the fine relative cent of [[1edo]]. | Being the simplest division of the octave by the Germanic [[wikipedia:Long_hundred|long hundred]], it has a unit step which is the fine relative cent of [[1edo]]. | ||