Xenharmonic Wiki

Table of 3-limit commas: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|-
|-
!Name(s)
! colspan="2" |Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
!Ratio
Line 8: Line 8:
!Cents
!Cents
|-
|-
|24-comma
|wa-24 comma
|w-24
|
|
|{{monzo| -37 24}}
|1246.92
|-
|48-comma
|wa-48 comma
|w-48
|
|{{monzo| 77 -48 }}
|1106.16
|-
|41b-comma
|41b-comma
|wa-41b comma
|wa-41b comma
Line 27: Line 14:
|
|
|{{monzo| -64 41 }}
|{{monzo| -64 41 }}
|1080.155
|1180.155
|-
|
|65b-comma
|wa-65b comma
|w-65b
|
|{{monzo| 102 -65}}
|1172.925
|-
|-
|
|82-comma
|wa-80 comma
|w-80
|
|{{monzo| 129 -82 }}
|1160.31
|-
|
|29b-comma
|29b-comma
|wa-29b comma
|wa-29b comma
Line 36: Line 40:
|1156.695
|1156.695
|-
|-
|Pythagorean supermajor seventh, 17b-comma
|Pythagorean supermajor seventh
|wa-17b comma
|17b-comma
|w-17b
|Large wa 7th
|Lw7
|
|
|{{monzo| -26 17 }}
|{{monzo| -26 17 }}
|1133.235
|1133.235
|-
|-
|51-comma
|wa-51 comma
|w-51
|
|
|{{monzo| -80 51 }}
|89b-comma
|999.705
|wa-89b comma
|w-89b
|
|{{monzo| 142 -89 }}
|1126.005
|-
|
|58-comma
|wa-58 comma
|w-58
|
|{{monzo| -91 58 }}
|1113.39
|-
|
|48-comma
|wa-48 comma
|w-48
|
|{{monzo| 77 -48 }}
|1106.16
|-
|
|101b-comma
|wa-101b comma
|w-101b
|
|{{monzo| 159 -101 }}
|1102.545
|-
|-
|44-comma
|wa-44 comma
|w-44
|
|
|{{monzo| 69 -44 }}
|87-comma
|886.02
|wa-87 comma
|w-87
|
|{{monzo| -137 87 }}
|1070.085
|-
|-
|
|34-comma
|34-comma
|wa-34 comma
|wa-34 comma
Line 62: Line 94:
|
|
|{{monzo| -53 34 }}
|{{monzo| -53 34 }}
|835.485
|1066.47
|-
|-
|
|19b-comma
|19b-comma
|wa-19b comma
|wa-19b comma
Line 71: Line 104:
|1062.855
|1062.855
|-
|-
|
|72-comma
|wa-72 comma
|w-72
|
|{{monzo|115 -72}}
|1059.24
|-
|
|77b-comma
|wa-77b comma
|w-77b
|
|{{monzo| 123 -77 }}
|1049.465
|-
|
|75b-comma
|wa-75b comma
|w-75b
|
|{{monzo|-118 75}}
|1046.625
|-
|
|31b-comma
|31b-comma
|wa-31b comma
|wa-31b comma
Line 78: Line 136:
|1039.395
|1039.395
|-
|-
|
|43b-comma
|43b-comma
|wa-43b comma
|wa-43b comma
Line 85: Line 144:
|1015.395
|1015.395
|-
|-
|
|51-comma
|wa-51 comma
|w-51
|
|{{monzo| -80 51 }}
|999.705
|-
|
|92-comma
|wa-92 comma
|w-92
|
|{{monzo| -145 92 }}
|979.86
|-
|
|39b-comma
|39b-comma
|wa-39b comma
|wa-39b comma
Line 92: Line 168:
|976.25
|976.25
|-
|-
|Pythagorean harmonic seventh, 14-comma  
|
|wa-14 comma
|14-comma
|w-14
|small wa 7th
|sw7
|
|
|{{Monzo|23 -14}}
|{{Monzo|23 -14}}
|972.63
|972.63
|-
|-
|Pythagorean harmonic seventh
|67b-comma
|wa-67b comma
|w-67b
|
|{{monzo| 107 -67 }}
|969.015
|-
|
|27b-comma
|27b-comma
|wa-27b comma
|wa-27b comma
Line 106: Line 192:
|952.785
|952.785
|-
|-
|Pythagorean supermajor sixth, 15-comma
|
|wa-15 comma
|79b-comma
|w-15
|wa-79b comma
|w-79b
|
|{{monzo| 126 -79 }}
|945.555
|-
|
|68-comma
|wa-68 comma
|w-68
|
|{{monzo| -107 68 }}
|932.94
|-
|Pythagorean supermajor sixth
|15-comma
|Large wa 6th
|Lw6
|
|
|{{Monzo|-23 15}}
|{{Monzo|-23 15}}
|929.325
|929.325
|-
|-
|
|38-comma
|38-comma
|wa-38 comma
|wa-38 comma
Line 120: Line 224:
|925.71
|925.71
|-
|-
|
|103-comma
|wa-103 comma
|w-103
|
|{{monzo| -164 103 }}
|898.63
|-
|
|97b-comma
|wa-97b comma
|w-97b
|
|{{monzo|153 -97 }}
|889.365
|-
|
|44-comma
|wa-44 comma
|w-44
|
|{{monzo| 69 -44 }}
|886.02
|-
|
|62-comma
|wa-62 comma
|w-62
|
|{{monzo| 99 -62 }}
|878.79
|-
|
|85-comma
|wa-85 comma
|w-85
|
|{{monzo| -134 85 }}
|866.175
|-
|
|21-comma
|21-comma
|wa-21 comma
|wa-21 comma
Line 127: Line 272:
|858.945
|858.945
|-
|-
|
|73b-comma
|wa-73b comma
|w-73b
|
|{{monzo|-115 73}}
|842.715
|-
|
|20-comma
|20-comma
|wa-20 comma
|wa-20 comma
Line 134: Line 288:
|839.1
|839.1
|-
|-
|
|33b-comma
|33b-comma
|wa-33b comma
|wa-33b comma
Line 141: Line 296:
|835.485
|835.485
|-
|-
|
|86-comma
|wa-86 comma
|w-86
|
|{{monzo| 137 -86 }}
|831.87
|-
|
|61b-comma
|wa-61b comma
|w-61b
|
|{{monzo| -96 61 }}
|819.255
|-
|
|102-comma
|wa-102 comma
|w-102
|
|{{monzo| -161 102 }}
|799.41
|-
|
|57-comma
|wa-57 comma
|w-57
|
|{{monzo| 91 -57 }}
|788.565
|-
|
|37b-comma
|37b-comma
|wa-37b comma
|wa-37b comma
Line 148: Line 336:
|772.335
|772.335
|-
|-
|
|69b-comma
|wa-69b comma
|w-69b
|
|{{monzo| 110 -69 }}
|765.105
|-
|
|25-comma
|25-comma
|wa-25 comma
|wa-25 comma
Line 155: Line 352:
|748.875
|748.875
|-
|-
|
|28-comma
|28-comma
|wa-28 comma
|wa-28 comma
Line 162: Line 360:
|745.26
|745.26
|-
|-
|
|13-comma
|13-comma
|wa-13 comma
|wa-13 comma
Line 169: Line 368:
|725.415
|725.415
|-
|-
|
|93-comma
|wa-93 comma
|w-93
|
|{{monzo| 148 -93 }}
|718.185
|-
|
|54-comma
|54-comma
|wa-54 comma
|wa-54 comma
Line 176: Line 384:
|705.57
|705.57
|-
|-
|
|52-comma
|52-comma
|wa-52 comma
|wa-52 comma
Line 183: Line 392:
|698.33
|698.33
|-
|-
|Pythagorean wolf fifth, 11b-comma
|Pythagorean wolf fifth
|11b-comma
|small wa 5th
|small wa 5th
|sw5
|sw5
Line 190: Line 400:
|678.495
|678.495
|-
|-
|
|83-comma
|wa-83 comma
|w-83
|
|{{monzo| -132 83 }}
|662.265
|-
|
|30-comma
|wa-30 comma
|w-30
|
|{{monzo| -47 30 }}
|658.65
|-
|
|23b-comma
|wa-23b comma
|w-23b
|
|{{monzo| 37 -23}}
|655.055
|-
|
|76-comma
|wa-76 comma
|w-76
|
|{{monzo| -121 76 }}
|651.42
|-
|
|71b-comma
|wa-71b comma
|w-71b
|
|{{monzo|-112 71}}
|638.805
|-
|
|59b-comma
|wa-59b comma
|w-59b
|
|{{monzo| -93 59 }}
|615.345
|-
|
|47b-comma
|47b-comma
|wa-47b comma
|wa-47b comma
Line 197: Line 456:
|610.115
|610.115
|-
|-
|
|100-comma
|wa-100 comma
|w-100
|
|{{monzo| 159 -100 }}
|604.49
|-
|
|47-comma
|47-comma
|wa-47 comma
|wa-47 comma
Line 204: Line 472:
|591.885
|591.885
|-
|-
|42-comma
|wa-42 comma
|w-42
|
|
|{{monzo| 67 -42 }}
|59-comma
|517.89
|wa-59 comma
|w-59
|
|{{monzo| 94 -59 }}
|584.655
|-
|-
|23b-comma
|wa-23b comma
|w-23b
|
|
|{{monzo| 37 -23}}
|88-comma
|655.055
|wa-88 comma
|w-88
|
|{{monzo| 139 -88 }}
|572.04
|-
|-
|30-comma
|wa-30 comma
|w-30
|
|
|{{monzo| -47 30 }}
|658.65
|-
|18-comma
|18-comma
|wa-18 comma
|wa-18 comma
Line 232: Line 496:
|564.81
|564.81
|-
|-
|
|23-comma
|23-comma
|wa-23 comma
|wa-23 comma
Line 239: Line 504:
|544.965
|544.965
|-
|-
|Pythagorean wolf fourth, 11-comma
|
|83-comma
|wa-83 comma
|w-83
|
|{{monzo| 133 -83 }}
|537.735
|-
|
|71-comma
|wa-71 comma
|w-71
|
|{{monzo|113 -71}}
|561.195
|-
|Pythagorean-[[Armodue]] fourth
|64-comma
|wa-64 comma
|w-64
|
|{{monzo| -101 64 }}
|525.12
|-
|Pythagorean wolf fourth
|11-comma
|Large wa 4th
|Large wa 4th
|Lw4
|Lw4
Line 246: Line 536:
|521.505
|521.505
|-
|-
|
|42-comma
|wa-42 comma
|w-42
|
|{{monzo| 67 -42 }}
|517.89
|-
|
|95-comma
|wa-95 comma
|w-95
|
|{{monzo| 151 -95 }}
|514.275
|-
|
|perfect fourth
|wa 4th
|w4
|[[4/3|4 / 3]]
|{{monzo| 2 -1}}
|498.045
|-
|
|40-comma
|40-comma
|wa-40 comma
|wa-40 comma
Line 253: Line 568:
|478.2
|478.2
|-
|-
|
|13b-comma
|13b-comma
|wa-13b comma
|wa-13b comma
Line 260: Line 576:
|474.585
|474.585
|-
|-
|perfect fourth
|
|wa 4th
|81-comma
|w4
|wa-81 comma
|[[4/3|4 / 3]]
|w-81
|{{monzo| 2 -1}}
|
|498.045
|{{monzo| -128 81 }}
|458.355
|-
|
|69-comma
|wa-69 comma
|w-69
|
|{{monzo| -109 69 }}
|434.895
|-
|-
|Pythagorean supermajor third, 16-comma
|Pythagorean supermajor third
|wa-16 comma
|16-comma
|w-16
|Large wa 3rd
|Lw3
|
|
|{{Monzo|-25 16}}
|{{Monzo|-25 16}}
|431.28
|431.28
|-
|-
|
|37-comma
|wa-37 comma
|w-37
|
|{{monzo| 59 -37 }}
|427.665
|-
|
|90-comma
|wa-90 comma
|w-90
|
|{{monzo| -143 90 }}
|424.05
|-
|
|49-comma
|49-comma
|wa-49 comma
|wa-49 comma
Line 281: Line 624:
|404.205
|404.205
|-
|-
|37-comma
|wa-37 comma
|w-37
|
|
|{{monzo| 59 -37 }}
|98-comma
|427.665
|wa-98 comma
|w-98
|
|{{monzo| -155 98 }}
|391.59
|-
|-
|
|45-comma
|45-comma
|wa-45 comma
|wa-45 comma
Line 295: Line 640:
|387.975
|387.975
|-
|-
|Pythagorean diminished fourth, 8-comma
|Pythagorean diminished fourth
|8-comma
|small wa 4th
|small wa 4th
|sw4
|sw4
Line 302: Line 648:
|384.360
|384.360
|-
|-
|Pythagorean 1/5 tritave
|61-comma
|wa-61 comma
|w-61
|
|{{monzo| 97 -61 }}
|380.745
|-
|
|33-comma
|33-comma
|wa-33 comma
|wa-33 comma
Line 309: Line 664:
|364.515
|364.515
|-
|-
|
|73-comma
|wa-73 comma
|w-73
|
|{{monzo|116 -73}}
|357.285
|-
|
|74-comma
|wa-74 comma
|w-74
|
|{{monzo|117 -74}}
|344.67
|-
|
|32-comma
|32-comma
|wa-32 comma
|wa-32 comma
Line 316: Line 688:
|337.44
|337.44
|-
|-
|Pythagorean augmented second, 9-comma
|Pythagorean augmented second
|9-comma
|large wa 2nd
|large wa 2nd
|Lw2
|Lw2
Line 323: Line 696:
|317.595
|317.595
|-
|-
|
|97-comma
|wa-97 comma
|w-97
|
|{{monzo| 153 -97 }}
|310.365
|-
|
|50-comma
|50-comma
|wa-50 comma
|wa-50 comma
Line 328: Line 710:
|
|
|{{monzo| -79 50 }}
|{{monzo| -79 50 }}
|404.205
|297.75
|-
|-
|Pythagorean minor third, 3-comma
|Pythagorean minor third
|3-comma
|wa 3rd
|wa 3rd
|w3
|w3
Line 337: Line 720:
|294.135
|294.135
|-
|-
|
|56-comma
|wa-56 comma
|w-56
|
|{{monzo| 89 -56 }}
|290.52
|-
|
|91-comma
|wa-91 comma
|w-91
|
|{{monzo| -144 91 }}
|277.905
|-
|
|79-comma
|wa-79 comma
|w-79
|
|{{monzo| -125 79 }}
|254.445
|-
|
|75-comma
|wa-75 comma
|w-75
|
|{{monzo|119 -75}}
|253.375
|-
|
|26-comma
|26-comma
|wa-26 comma
|wa-26 comma
Line 344: Line 760:
|250.83
|250.83
|-
|-
|
|27-comma
|27-comma
|wa-27 comma
|wa-27 comma
Line 351: Line 768:
|247.215
|247.215
|-
|-
|
|80-comma
|wa-80 comma
|w-80
|
|{{monzo| 127 -80 }}
|243.6
|-
|
|67-comma
|wa-67 comma
|w-67
|
|{{monzo| -106 67 }}
|230.985
|-
|
|39-comma
|39-comma
|wa-39 comma
|wa-39 comma
Line 358: Line 792:
|223.75
|223.75
|-
|-
|
|55-comma
|55-comma
|wa-55 comma
|wa-55 comma
Line 366: Line 801:
|-
|-
|whole tone
|whole tone
|2-comma
|wa 2nd
|wa 2nd
|w2
|w2
Line 372: Line 808:
|203.91
|203.91
|-
|-
|
|43-comma
|43-comma
|wa-43 comma
|wa-43 comma
Line 379: Line 816:
|184.065
|184.065
|-
|-
|
|63-comma
|63-comma
|wa-63 comma
|wa-63 comma
Line 386: Line 824:
|176.835
|176.835
|-
|-
|
|[[31-comma_temperaments|31-comma]]
|[[31-comma_temperaments|31-comma]]
|wa-31 comma
|wa-31 comma
|w-31
|w-31
|617673396283947 / 562949953421312
|
|{{monzo| -49 31 }}
|{{monzo| -49 31 }}
|160.605
|160.605
|-
|-
|
|22-comma
|22-comma
|wa-22 comma
|wa-22 comma
|w-22
|w-22
|34359738368 / 31381059609
|
|{{monzo| 35 -22 }}
|{{monzo| 35 -22 }}
|156.99
|156.99
|-
|-
|
|19-comma
|19-comma
|wa-19 comma
|wa-19 comma
Line 408: Line 849:
|-
|-
|apotome
|apotome
|7-comma
|large wa unison
|large wa unison
|Lw1
|Lw1
Line 414: Line 856:
|113.685
|113.685
|-
|-
|
|46-comma
|46-comma
|wa-46 comma
|wa-46 comma
Line 420: Line 863:
|{{monzo| 73 -46 }}
|{{monzo| 73 -46 }}
|110.07
|110.07
|-
|
|99-comma
|wa-99 comma
|w-99
|
|{{monzo| 157 -99 }}
|106.455
|-
|
|101-comma
|wa-101 comma
|w-101
|
|{{monzo| -160 101 }}
|97.455
|-
|-
|limma, Pythagorean minor second
|limma, Pythagorean minor second
|5-comma
|small wa 2nd
|small wa 2nd
|sw2
|sw2
Line 428: Line 888:
|90.225
|90.225
|-
|-
|
|89-comma
|wa-89 comma
|w-89
|
|{{monzo| -141 89 }}
|73.995
|-
|
|[[17-comma]]
|[[17-comma]]
|wa-17 comma
|wa-17 comma
Line 435: Line 904:
|66.765
|66.765
|-
|-
|
|70-comma
|70-comma
|wa-70 comma
|wa-70 comma
Line 442: Line 912:
|63.15
|63.15
|-
|-
|
|77-comma
|77-comma
|wa-77 comma
|wa-77 comma
Line 449: Line 920:
|50.535
|50.535
|-
|-
|
|[[29-comma]]
|[[29-comma]]
|wa-29 comma
|wa-29 comma
|w-29
|w-29
|70368744177664 / 68630377364883
|
|{{monzo| 46 -29 }}
|{{monzo| 46 -29 }}
|43.305
|43.305
|-
|-
|Pythagorean septimal comma
|65-comma
|65-comma
|wa-65 comma
|wa-65 comma
Line 464: Line 937:
|-
|-
|[[Pythagorean comma]]
|[[Pythagorean comma]]
|12-comma
|lalawa comma
|lalawa comma
or wa comma
or wa comma
Line 471: Line 945:
|23.460
|23.460
|-
|-
|
|[[41-comma]]
|[[41-comma]]
|wa-41 comma
|wa-41 comma
|w-41
|w-41
|36893488147419103232 /
|
36472996377170786403
|{{monzo| 65 -41 }}
|{{monzo| 65 -41 }}
|19.845
|19.845
|-
|-
|
|94-comma
|94-comma
|wa-94 comma
|wa-94 comma
Line 486: Line 961:
|16.230
|16.230
|-
|-
|200-comma, Pythagorean integer cents comma<!--the meaning of "integer cents" is ambiguous, because this comma is both near an integer in cents and involves integer cent fifths (702 cents), causing that term to be inconsistently used for one or the other-->
|Pythagorean integer cent et comma
|200-comma
|wa-200 comma
|wa-200 comma
|w-200
|w-200
Line 493: Line 969:
|8.9998
|8.9998
|-
|-
|[[Mercator's comma]], 53-comma
|[[Mercator's comma]]
|53-comma
|wa-53 comma
|wa-53 comma
|w-53
|w-53
|19383245667680019896796723 /
|
19342813113834066795298816
|{{monzo| -84 53 }}
|{{monzo| -84 53 }}
|3.6150
|3.6150
|-
|-
|
|359-comma
|359-comma
|wa-359 comma
|wa-359 comma
Line 509: Line 986:
|-
|-
|[[Sasktel comma]]
|[[Sasktel comma]]
|306-comma
|wa-306 comma
|wa-306 comma
|w-306
|w-306
Line 516: Line 994:
|-
|-
|[[Satanic comma]]
|[[Satanic comma]]
|665-comma
|wa-665 comma
|wa-665 comma
|w-665
|w-665
Line 522: Line 1,001:
|0.075575
|0.075575
|-
|-
|
|15601-comma
|15601-comma
|wa-15601 comma
|wa-15601 comma
Line 529: Line 1,009:
|0.031499
|0.031499
|-
|-
|
|31867-comma
|31867-comma
|wa-31867 comma
|wa-31867 comma
Retrieved from "https://en.xen.wiki/w/Table_of_3-limit_commas"