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Table of 3-limit commas: Difference between revisions

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A [[3-limit]] comma is the amount which separates m [[3/2|fifth]]<nowiki/>s from n [[octave]]<nowiki/>s. It is the simplest kind of comma a tuning may [[Tempering out|temper out]]. All commas not equal to the perfect fourth listed here generate interlaced pentatonic scales when tempered out.
A [[3-limit]] comma is the amount which separates m [[3/2|fifth]]<nowiki/>s from n [[octave]]<nowiki/>s. It is the simplest kind of comma a tuning may [[Tempering out|temper out]]. All commas not equal to the perfect fourth listed here generate interlaced pentatonic scales when tempered out.
{| class="wikitable"
{| class="wikitable"
|-
|-
! colspan="2" |Name(s)
! colspan="2" |Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Ratio
!Monzo
! Monzo
!Cents
! Cents
|-
|-
|
|
|41b-comma
| 41b-comma
|wa-41b comma
| wa-41b comma
|w-41b
| w-41b
|
|
|{{monzo| -64 41 }}
| {{monzo| -64 41 }}
|1180.155
| 1180.155
|-
|-
|
|
|65b-comma
| 65b-comma
|wa-65b comma
| wa-65b comma
|w-65b
| w-65b
|
|
|{{monzo| 102 -65}}
| {{monzo| 102 -65}}
|1172.925
| 1172.925
|-
|-
|
|
|82-comma
| 82-comma
|wa-80 comma
| wa-80 comma
|w-80
| w-80
|
|
|{{monzo| 129 -82 }}
| {{monzo| 129 -82 }}
|1160.31
| 1160.31
|-
|-
|
|
|29b-comma
| 29b-comma
|wa-29b comma
| wa-29b comma
|w-29b
| w-29b
|
|
|{{monzo| -45 29 }}
| {{monzo| -45 29 }}
|1156.695
| 1156.695
|-
|-
|Pythagorean supermajor seventh
| Pythagorean supermajor seventh
|17b-comma
| 17b-comma
|Large wa 7th
| Large wa 7th
|Lw7
| Lw7
|
|
|{{monzo| -26 17 }}
| {{monzo| -26 17 }}
|1133.235
| 1133.235
|-
|-
|
|
|89b-comma
| 89b-comma
|wa-89b comma
| wa-89b comma
|w-89b
| w-89b
|
|
|{{monzo| 142 -89 }}
| {{monzo| 142 -89 }}
|1126.005
| 1126.005
|-
|-
|
|
|58-comma
| 58-comma
|wa-58 comma
| wa-58 comma
|w-58
| w-58
|
|
|{{monzo| -91 58 }}
| {{monzo| -91 58 }}
|1113.39
| 1113.39
|-
|-
|
|
|48-comma
| 48-comma
|wa-48 comma
| wa-48 comma
|w-48
| w-48
|
|
|{{monzo| 77 -48 }}
| {{monzo| 77 -48 }}
|1106.16
| 1106.16
|-
|-
|
|
|101b-comma
| 101b-comma
|wa-101b comma
| wa-101b comma
|w-101b
| w-101b
|
|
|{{monzo| 159 -101 }}
| {{monzo| 159 -101 }}
|1102.545
| 1102.545
|-
|-
|
|
|87-comma
| 87-comma
|wa-87 comma
| wa-87 comma
|w-87
| w-87
|
|
|{{monzo| -137 87 }}
| {{monzo| -137 87 }}
|1070.085
| 1070.085
|-
|-
|
|
|34-comma
| 34-comma
|wa-34 comma
| wa-34 comma
|w-34
| w-34
|
|
|{{monzo| -53 34 }}
| {{monzo| -53 34 }}
|1066.47
| 1066.47
|-
|-
|
|
|19b-comma
| 19b-comma
|wa-19b comma
| wa-19b comma
|w-19b
| w-19b
|
|
|{{monzo|31 -19}}
| {{monzo|31 -19}}
|1062.855
| 1062.855
|-
|-
|
|
|72-comma
| 72-comma
|wa-72 comma
| wa-72 comma
|w-72
| w-72
|
|
|{{monzo|115 -72}}
| {{monzo|115 -72}}
|1059.24
| 1059.24
|-
|-
|
|
|77b-comma
| 77b-comma
|wa-77b comma
| wa-77b comma
|w-77b
| w-77b
|
|
|{{monzo| 123 -77 }}
| {{monzo| 123 -77 }}
|1049.465
| 1049.465
|-
|-
|
|
|75b-comma
| 75b-comma
|wa-75b comma
| wa-75b comma
|w-75b
| w-75b
|
|
|{{monzo|-118 75}}
| {{monzo|-118 75}}
|1046.625
| 1046.625
|-
|-
|
|
|31b-comma
| 31b-comma
|wa-31b comma
| wa-31b comma
|w-31b
| w-31b
|
|
|{{monzo| 50 -31 }}
| {{monzo| 50 -31 }}
|1039.395
| 1039.395
|-
|-
|
|
|43b-comma
| 43b-comma
|wa-43b comma
| wa-43b comma
|w-43b
| w-43b
|
|
|{{monzo| 67 -43 }}
| {{monzo| 67 -43 }}
|1015.395
| 1015.395
|-
|-
|
|
|51-comma
| 51-comma
|wa-51 comma
| wa-51 comma
|w-51
| w-51
|
|
|{{monzo| -80 51 }}
| {{monzo| -80 51 }}
|999.705
| 999.705
|-
|-
|
|
|92-comma
| 92-comma
|wa-92 comma
| wa-92 comma
|w-92
| w-92
|
|
|{{monzo| -145 92 }}
| {{monzo| -145 92 }}
|979.86
| 979.86
|-
|-
|
|
|39b-comma
| 39b-comma
|wa-39b comma
| wa-39b comma
|w-39b
| w-39b
|
|
|{{monzo| -61 39 }}
| {{monzo| -61 39 }}
|976.25
| 976.25
|-
|-
|
|
|14-comma
| 14-comma
|small wa 7th
| small wa 7th
|sw7
| sw7
|
|
|{{Monzo|23 -14}}
| {{Monzo|23 -14}}
|972.63
| 972.63
|-
|-
|Pythagorean harmonic seventh
| Pythagorean harmonic seventh
|67b-comma
| 67b-comma
|wa-67b comma
| wa-67b comma
|w-67b
| w-67b
|
|
|{{monzo| 107 -67 }}
| {{monzo| 107 -67 }}
|969.015
| 969.015
|-
|-
|
|
|27b-comma
| 27b-comma
|wa-27b comma
| wa-27b comma
|w-27b
| w-27b
|
|
|{{monzo| -44 27}}
| {{monzo| -44 27}}
|952.785
| 952.785
|-
|-
|
|
|79b-comma
| 79b-comma
|wa-79b comma
| wa-79b comma
|w-79b
| w-79b
|
|
|{{monzo| 126 -79 }}
| {{monzo| 126 -79 }}
|945.555
| 945.555
|-
|-
|
|
|68-comma
| 68-comma
|wa-68 comma
| wa-68 comma
|w-68
| w-68
|
|
|{{monzo| -107 68 }}
| {{monzo| -107 68 }}
|932.94
| 932.94
|-
|-
|Pythagorean supermajor sixth
| Pythagorean supermajor sixth
|15-comma
| 15-comma
|Large wa 6th
| Large wa 6th
|Lw6
| Lw6
|
|
|{{Monzo|-23 15}}
| {{Monzo|-23 15}}
|929.325
| 929.325
|-
|-
|
|
|38-comma
| 38-comma
|wa-38 comma
| wa-38 comma
|w-38
| w-38
|
|
|{{monzo| -61 38 }}
| {{monzo| -61 38 }}
|925.71
| 925.71
|-
|-
|
|
|103-comma
| 103-comma
|wa-103 comma
| wa-103 comma
|w-103
| w-103
|
|
|{{monzo| -164 103 }}
| {{monzo| -164 103 }}
|898.63
| 898.63
|-
|-
|
|
|97b-comma
| 97b-comma
|wa-97b comma
| wa-97b comma
|w-97b
| w-97b
|
|
|{{monzo|153 -97 }}
| {{monzo|153 -97 }}
|889.365
| 889.365
|-
|-
|
|
|44-comma
| 44-comma
|wa-44 comma
| wa-44 comma
|w-44
| w-44
|
|
|{{monzo| 69 -44 }}
| {{monzo| 69 -44 }}
|886.02
| 886.02
|-
|-
|
|
|62-comma
| 62-comma
|wa-62 comma
| wa-62 comma
|w-62
| w-62
|
|
|{{monzo| 99 -62 }}
| {{monzo| 99 -62 }}
|878.79
| 878.79
|-
|-
|
|
|85-comma
| 85-comma
|wa-85 comma
| wa-85 comma
|w-85
| w-85
|
|
|{{monzo| -134 85 }}
| {{monzo| -134 85 }}
|866.175
| 866.175
|-
|-
|
|
|21-comma
| 21-comma
|wa-21 comma
| wa-21 comma
|w-21
| w-21
|
|
|{{Monzo| 34 -21}}
| {{Monzo| 34 -21}}
|858.945
| 858.945
|-
|-
|
|
|73b-comma
| 73b-comma
|wa-73b comma
| wa-73b comma
|w-73b
| w-73b
|
|
|{{monzo|-115 73}}
| {{monzo|-115 73}}
|842.715
| 842.715
|-
|-
|
|
|20-comma
| 20-comma
|wa-20 comma
| wa-20 comma
|w-20
| w-20
|
|
|{{Monzo| -31 20}}
| {{Monzo| -31 20}}
|839.1
| 839.1
|-
|-
|
|
|33b-comma
| 33b-comma
|wa-33b comma
| wa-33b comma
|w-33b
| w-33b
|
|
|{{monzo| 53 -33 }}
| {{monzo| 53 -33 }}
|835.485
| 835.485
|-
|-
|
|
|86-comma
| 86-comma
|wa-86 comma
| wa-86 comma
|w-86
| w-86
|
|
|{{monzo| 137 -86 }}
| {{monzo| 137 -86 }}
|831.87
| 831.87
|-
|-
|
|
|61b-comma
| 61b-comma
|wa-61b comma
| wa-61b comma
|w-61b
| w-61b
|
|
|{{monzo| -96 61 }}
| {{monzo| -96 61 }}
|819.255
| 819.255
|-
|-
|
|
|102-comma
| 102-comma
|wa-102 comma
| wa-102 comma
|w-102
| w-102
|
|
|{{monzo| -161 102 }}
| {{monzo| -161 102 }}
|799.41
| 799.41
|-
|-
|
|
|57-comma
| 57-comma
|wa-57 comma
| wa-57 comma
|w-57
| w-57
|
|
|{{monzo| 91 -57 }}
| {{monzo| 91 -57 }}
|788.565
| 788.565
|-
|-
|
|
|37b-comma
| 37b-comma
|wa-37b comma
| wa-37b comma
|w-37b
| w-37b
|
|
|{{monzo| -58 37 }}
| {{monzo| -58 37 }}
|772.335
| 772.335
|-
|-
|
|
|69b-comma
| 69b-comma
|wa-69b comma
| wa-69b comma
|w-69b
| w-69b
|
|
|{{monzo| 110 -69 }}
| {{monzo| 110 -69 }}
|765.105
| 765.105
|-
|-
|
|
|25-comma
| 25-comma
|wa-25 comma
| wa-25 comma
|w-25
| w-25
|
|
|{{Monzo| -39 25}}
| {{Monzo| -39 25}}
|748.875
| 748.875
|-
|-
|
|
|28-comma
| 28-comma
|wa-28 comma
| wa-28 comma
|w-28
| w-28
|
|
|{{monzo| 45 -28}}
| {{monzo| 45 -28}}
|745.26
| 745.26
|-
|-
|
|
|13-comma
| 13-comma
|wa-13 comma
| wa-13 comma
|w-13
| w-13
|
|
|{{Monzo| -20 13}}
| {{Monzo| -20 13}}
|725.415
| 725.415
|-
|-
|
|
|93-comma
| 93-comma
|wa-93 comma
| wa-93 comma
|w-93
| w-93
|
|
|{{monzo| 148 -93 }}
| {{monzo| 148 -93 }}
|718.185
| 718.185
|-
|-
|
|
|54-comma
| 54-comma
|wa-54 comma
| wa-54 comma
|w-54
| w-54
|
|
|{{monzo| -85 54 }}
| {{monzo| -85 54 }}
|705.57
| 705.57
|-
|-
|
|
|52-comma
| 52-comma
|wa-52 comma
| wa-52 comma
|w-52
| w-52
|
|
|{{monzo| 83 -52 }}
| {{monzo| 83 -52 }}
|698.33
| 698.33
|-
|-
|Pythagorean wolf fifth
| Pythagorean wolf fifth
|11b-comma
| 11b-comma
|small wa 5th
| small wa 5th
|sw5
| sw5
|262144 / 177147
| 262144 / 177147
|{{monzo| 18 -11}}
| {{monzo| 18 -11}}
|678.495
| 678.495
|-
|-
|
|
|83-comma
| 83-comma
|wa-83 comma
| wa-83 comma
|w-83
| w-83
|
|
|{{monzo| -132 83 }}
| {{monzo| -132 83 }}
|662.265
| 662.265
|-
|-
|
|
|30-comma
| 30-comma
|wa-30 comma
| wa-30 comma
|w-30
| w-30
|
|
|{{monzo| -47 30 }}
| {{monzo| -47 30 }}
|658.65
| 658.65
|-
|-
|
|
|23b-comma
| 23b-comma
|wa-23b comma
| wa-23b comma
|w-23b
| w-23b
|
|
|{{monzo| 37 -23}}
| {{monzo| 37 -23}}
|655.055
| 655.055
|-
|-
|
|
|76-comma
| 76-comma
|wa-76 comma
| wa-76 comma
|w-76
| w-76
|
|
|{{monzo| -121 76 }}
| {{monzo| -121 76 }}
|651.42
| 651.42
|-
|-
|
|
|71b-comma
| 71b-comma
|wa-71b comma
| wa-71b comma
|w-71b
| w-71b
|
|
|{{monzo|-112 71}}
| {{monzo|-112 71}}
|638.805
| 638.805
|-
|-
|
|
|59b-comma
| 59b-comma
|wa-59b comma
| wa-59b comma
|w-59b
| w-59b
|
|
|{{monzo| -93 59 }}
| {{monzo| -93 59 }}
|615.345
| 615.345
|-
|-
|
|
|47b-comma
| 47b-comma
|wa-47b comma
| wa-47b comma
|w-47b
| w-47b
|
|
|{{monzo| 75 -47 }}
| {{monzo| 75 -47 }}
|610.115
| 610.115
|-
|-
|
|
|100-comma
| 100-comma
|wa-100 comma
| wa-100 comma
|w-100
| w-100
|
|
|{{monzo| 159 -100 }}
| {{monzo| 159 -100 }}
|604.49
| 604.49
|-
|-
|
|
|47-comma
| 47-comma
|wa-47 comma
| wa-47 comma
|w-47
| w-47
|
|
|{{monzo| -74 47 }}
| {{monzo| -74 47 }}
|591.885
| 591.885
|-
|-
|
|
|59-comma
| 59-comma
|wa-59 comma
| wa-59 comma
|w-59
| w-59
|
|
|{{monzo| 94 -59 }}
| {{monzo| 94 -59 }}
|584.655
| 584.655
|-
|-
|
|
|88-comma
| 88-comma
|wa-88 comma
| wa-88 comma
|w-88
| w-88
|
|
|{{monzo| 139 -88 }}
| {{monzo| 139 -88 }}
|572.04
| 572.04
|-
|-
|
|
|18-comma
| 18-comma
|wa-18 comma
| wa-18 comma
|w-18
| w-18
|
|
|{{monzo|29 -18}}
| {{monzo|29 -18}}
|564.81
| 564.81
|-
|-
|
|
|23-comma
| 23-comma
|wa-23 comma
| wa-23 comma
|w-23
| w-23
|
|
|{{monzo| -36 23}}
| {{monzo| -36 23}}
|544.965
| 544.965
|-
|-
|
|
|83-comma
| 83-comma
|wa-83 comma
| wa-83 comma
|w-83
| w-83
|
|
|{{monzo| 133 -83 }}
| {{monzo| 133 -83 }}
|537.735
| 537.735
|-
|-
|
|
|71-comma
| 71-comma
|wa-71 comma
| wa-71 comma
|w-71
| w-71
|
|
|{{monzo|113 -71}}
| {{monzo|113 -71}}
|561.195
| 561.195
|-
|-
|Pythagorean-[[Armodue]] fourth
| Pythagorean-[[Armodue]] fourth
|64-comma
| 64-comma
|wa-64 comma
| wa-64 comma
|w-64
| w-64
|
|
|{{monzo| -101 64 }}
| {{monzo| -101 64 }}
|525.12
| 525.12
|-
|-
|Pythagorean wolf fourth
| Pythagorean wolf fourth
|11-comma
| 11-comma
|Large wa 4th
| Large wa 4th
|Lw4
| Lw4
|177147 / 131072
| 177147 / 131072
|{{monzo| -17 11}}
| {{monzo| -17 11}}
|521.505
| 521.505
|-
|-
|
|
|42-comma
| 42-comma
|wa-42 comma
| wa-42 comma
|w-42
| w-42
|
|
|{{monzo| 67 -42 }}
| {{monzo| 67 -42 }}
|517.89
| 517.89
|-
|-
|
|
|95-comma
| 95-comma
|wa-95 comma
| wa-95 comma
|w-95
| w-95
|
|
|{{monzo| 151 -95 }}
| {{monzo| 151 -95 }}
|514.275
| 514.275
|-
|-
|
|
|perfect fourth
| perfect fourth
|wa 4th
| wa 4th
|w4
| w4
|[[4/3|4 / 3]]
| [[4/3|4 / 3]]
|{{monzo| 2 -1}}
| {{monzo| 2 -1}}
|498.045
| 498.045
|-
|-
|
|
|40-comma
| 40-comma
|wa-40 comma
| wa-40 comma
|w-40
| w-40
|
|
|{{monzo| 63 -40 }}
| {{monzo| 63 -40 }}
|478.2
| 478.2
|-
|-
|
|
|13b-comma
| 13b-comma
|wa-13b comma
| wa-13b comma
|w-13b
| w-13b
|
|
|{{Monzo| 21 -13}}
| {{Monzo| 21 -13}}
|474.585
| 474.585
|-
|-
|
|
|81-comma
| 81-comma
|wa-81 comma
| wa-81 comma
|w-81
| w-81
|
|
|{{monzo| -128 81 }}
| {{monzo| -128 81 }}
|458.355
| 458.355
|-
|-
|
|
|69-comma
| 69-comma
|wa-69 comma
| wa-69 comma
|w-69
| w-69
|
|
|{{monzo| -109 69 }}
| {{monzo| -109 69 }}
|434.895
| 434.895
|-
|-
|Pythagorean supermajor third
| Pythagorean supermajor third
|16-comma
| 16-comma
|Large wa 3rd
| Large wa 3rd
|Lw3
| Lw3
|
|
|{{Monzo|-25 16}}
| {{Monzo|-25 16}}
|431.28
| 431.28
|-
|-
|
|
|37-comma
| 37-comma
|wa-37 comma
| wa-37 comma
|w-37
| w-37
|
|
|{{monzo| 59 -37 }}
| {{monzo| 59 -37 }}
|427.665
| 427.665
|-
|-
|
|
|90-comma
| 90-comma
|wa-90 comma
| wa-90 comma
|w-90
| w-90
|
|
|{{monzo| -143 90 }}
| {{monzo| -143 90 }}
|424.05
| 424.05
|-
|-
|
|
|49-comma
| 49-comma
|wa-49 comma
| wa-49 comma
|w-49
| w-49
|
|
|{{monzo| 78 -49 }}
| {{monzo| 78 -49 }}
|404.205
| 404.205
|-
|-
|
|
|98-comma
| 98-comma
|wa-98 comma
| wa-98 comma
|w-98
| w-98
|
|
|{{monzo| -155 98 }}
| {{monzo| -155 98 }}
|391.59
| 391.59
|-
|-
|
|
|45-comma
| 45-comma
|wa-45 comma
| wa-45 comma
|w-45
| w-45
|
|
|{{monzo| -71 45 }}
| {{monzo| -71 45 }}
|387.975
| 387.975
|-
|-
|Pythagorean diminished fourth
| Pythagorean diminished fourth
|8-comma
| 8-comma
|small wa 4th
| small wa 4th
|sw4
| sw4
|[[8192/6561|8192 / 6561]]
| [[8192/6561|8192 / 6561]]
|{{Monzo| 13 -8 }}
| {{Monzo| 13 -8 }}
|384.360
| 384.360
|-
|-
|Pythagorean 1/5 tritave
| Pythagorean 1/5 tritave
|61-comma
| 61-comma
|wa-61 comma
| wa-61 comma
|w-61
| w-61
|
|
|{{monzo| 97 -61 }}
| {{monzo| 97 -61 }}
|380.745
| 380.745
|-
|-
|
|
|33-comma
| 33-comma
|wa-33 comma
| wa-33 comma
|w-33
| w-33
|
|
|{{monzo| -52 33 }}
| {{monzo| -52 33 }}
|364.515
| 364.515
|-
|-
|
|
|73-comma
| 73-comma
|wa-73 comma
| wa-73 comma
|w-73
| w-73
|
|
|{{monzo|116 -73}}
| {{monzo|116 -73}}
|357.285
| 357.285
|-
|-
|
|
|74-comma
| 74-comma
|wa-74 comma
| wa-74 comma
|w-74
| w-74
|
|
|{{monzo|117 -74}}
| {{monzo|117 -74}}
|344.67
| 344.67
|-
|-
|
|
|32-comma
| 32-comma
|wa-32 comma
| wa-32 comma
|w-32
| w-32
|
|
|{{monzo| 51 -32 }}
| {{monzo| 51 -32 }}
|337.44
| 337.44
|-
|-
|Pythagorean augmented second
| Pythagorean augmented second
|9-comma
| 9-comma
|large wa 2nd
| large wa 2nd
|Lw2
| Lw2
|[[19683/16384]]
| [[19683/16384]]
|{{Monzo| -14 9 }}
| {{Monzo| -14 9 }}
|317.595
| 317.595
|-
|-
|
|
|97-comma
| 97-comma
|wa-97 comma
| wa-97 comma
|w-97
| w-97
|
|
|{{monzo| 153 -97 }}
| {{monzo| 153 -97 }}
|310.365
| 310.365
|-
|-
|
|
|50-comma
| 50-comma
|wa-50 comma
| wa-50 comma
|w-50
| w-50
|
|
|{{monzo| -79 50 }}
| {{monzo| -79 50 }}
|297.75
| 297.75
|-
|-
|Pythagorean minor third
| Pythagorean minor third
|3-comma
| 3-comma
|wa 3rd
| wa 3rd
|w3
| w3
|[[32/27|32 / 27]]
| [[32/27|32 / 27]]
|{{Monzo| 5 -3 }}
| {{Monzo| 5 -3 }}
|294.135
| 294.135
|-
|-
|
|
|56-comma
| 56-comma
|wa-56 comma
| wa-56 comma
|w-56
| w-56
|
|
|{{monzo| 89 -56 }}
| {{monzo| 89 -56 }}
|290.52
| 290.52
|-
|-
|
|
|91-comma
| 91-comma
|wa-91 comma
| wa-91 comma
|w-91
| w-91
|
|
|{{monzo| -144 91 }}
| {{monzo| -144 91 }}
|277.905
| 277.905
|-
|-
|
|
|79-comma
| 79-comma
|wa-79 comma
| wa-79 comma
|w-79
| w-79
|
|
|{{monzo| -125 79 }}
| {{monzo| -125 79 }}
|254.445
| 254.445
|-
|-
|
|
|75-comma
| 75-comma
|wa-75 comma
| wa-75 comma
|w-75
| w-75
|
|
|{{monzo|119 -75}}
| {{monzo|119 -75}}
|253.375
| 253.375
|-
|-
|
|
|26-comma
| 26-comma
|wa-26 comma
| wa-26 comma
|w-26
| w-26
|
|
|{{monzo| -41 26 }}
| {{monzo| -41 26 }}
|250.83
| 250.83
|-
|-
|
|
|27-comma
| 27-comma
|wa-27 comma
| wa-27 comma
|w-27
| w-27
|
|
|{{monzo| 43 -27 }}
| {{monzo| 43 -27 }}
|247.215
| 247.215
|-
|-
|
|
|80-comma
| 80-comma
|wa-80 comma
| wa-80 comma
|w-80
| w-80
|
|
|{{monzo| 127 -80 }}
| {{monzo| 127 -80 }}
|243.6
| 243.6
|-
|-
|
|
|67-comma
| 67-comma
|wa-67 comma
| wa-67 comma
|w-67
| w-67
|
|
|{{monzo| -106 67 }}
| {{monzo| -106 67 }}
|230.985
| 230.985
|-
|-
|
|
|39-comma
| 39-comma
|wa-39 comma
| wa-39 comma
|w-39
| w-39
|
|
|{{monzo| 62 -39 }}
| {{monzo| 62 -39 }}
|223.75
| 223.75
|-
|-
|
|
|55-comma
| 55-comma
|wa-55 comma
| wa-55 comma
|w-55
| w-55
|
|
|{{monzo| -87 55 }}
| {{monzo| -87 55 }}
|207.525
| 207.525
|-
|-
|whole tone
| whole tone
|2-comma
| 2-comma
|wa 2nd
| wa 2nd
|w2
| w2
|[[9/8|9 / 8]]
| [[9/8|9 / 8]]
|{{monzo| -3 2 }}
| {{monzo| -3 2 }}
|203.91
| 203.91
|-
|-
|
|
|43-comma
| 43-comma
|wa-43 comma
| wa-43 comma
|w-43
| w-43
|
|
|{{monzo| -68 43 }}
| {{monzo| -68 43 }}
|184.065
| 184.065
|-
|-
|
|
|63-comma
| 63-comma
|wa-63 comma
| wa-63 comma
|w-63
| w-63
|
|
|{{monzo| 100 -63 }}
| {{monzo| 100 -63 }}
|176.835
| 176.835
|-
|-
|
|
|[[31-comma_temperaments|31-comma]]
| [[31-comma_temperaments|31-comma]]
|wa-31 comma
| wa-31 comma
|w-31
| w-31
|
|
|{{monzo| -49 31 }}
| {{monzo| -49 31 }}
|160.605
| 160.605
|-
|-
|
|
|22-comma
| 22-comma
|wa-22 comma
| wa-22 comma
|w-22
| w-22
|
|
|{{monzo| 35 -22 }}
| {{monzo| 35 -22 }}
|156.99
| 156.99
|-
|-
|
|
|19-comma
| 19-comma
|wa-19 comma
| wa-19 comma
|w-19
| w-19
|1162261467 / 1073741824
| 1162261467 / 1073741824
|{{monzo| -30 19 }}
| {{monzo| -30 19 }}
|137.145
| 137.145
|-
|-
|apotome
| apotome
|7-comma
| 7-comma
|large wa unison
| large wa unison
|Lw1
| Lw1
|[[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
|{{monzo| -11 7 }}
| {{monzo| -11 7 }}
|113.685
| 113.685
|-
|-
|
|
|46-comma
| 46-comma
|wa-46 comma
| wa-46 comma
|w-46
| w-46
|
|
|{{monzo| 73 -46 }}
| {{monzo| 73 -46 }}
|110.07
| 110.07
|-
|-
|
|
|99-comma
| 99-comma
|wa-99 comma
| wa-99 comma
|w-99
| w-99
|
|
|{{monzo| 157 -99 }}
| {{monzo| 157 -99 }}
|106.455
| 106.455
|-
|-
|
|
|101-comma
| 101-comma
|wa-101 comma
| wa-101 comma
|w-101
| w-101
|
|
|{{monzo| -160 101 }}
| {{monzo| -160 101 }}
|97.455
| 97.455
|-
|-
|limma, Pythagorean minor second
| limma, Pythagorean minor second
|5-comma
| 5-comma
|small wa 2nd
| small wa 2nd
|sw2
| sw2
|[[256/243|256 / 243]]
| [[256/243|256 / 243]]
|{{monzo| 8 -5 }}
| {{monzo| 8 -5 }}
|90.225
| 90.225
|-
|-
|
|
|89-comma
| 89-comma
|wa-89 comma
| wa-89 comma
|w-89
| w-89
|
|
|{{monzo| -141 89 }}
| {{monzo| -141 89 }}
|73.995
| 73.995
|-
|-
|
|
|[[17-comma]]
| [[17-comma]]
|wa-17 comma
| wa-17 comma
|ssw3
| ssw3
|134217728 / 129140163
| 134217728 / 129140163
|{{monzo| 27 -17 }}
| {{monzo| 27 -17 }}
|66.765
| 66.765
|-
|-
|
|
|70-comma
| 70-comma
|wa-70 comma
| wa-70 comma
|w-70
| w-70
|
|
|{{monzo| 111 -70 }}
| {{monzo| 111 -70 }}
|63.15
| 63.15
|-
|-
|
|
|77-comma
| 77-comma
|wa-77 comma
| wa-77 comma
|w-77
| w-77
|
|
|{{monzo| -122 77 }}
| {{monzo| -122 77 }}
|50.535
| 50.535
|-
|-
|
|
|[[29-comma]]
| [[29-comma]]
|wa-29 comma
| wa-29 comma
|w-29
| w-29
|
|
|{{monzo| 46 -29 }}
| {{monzo| 46 -29 }}
|43.305
| 43.305
|-
|-
|Pythagorean septimal comma
| Pythagorean septimal comma
|65-comma
| 65-comma
|wa-65 comma
| wa-65 comma
|w-65
| w-65
|
|
|{{monzo| -103 65}}
| {{monzo| -103 65}}
|27.075
| 27.075
|-
|-
|[[Pythagorean comma]]
| [[Pythagorean comma]]
|12-comma
| 12-comma
|lalawa comma
| lalawa comma
or wa comma
or wa comma
|LLw-2
| LLw-2
|531441 / 524288
| 531441 / 524288
|{{monzo| -19 12 }}
| {{monzo| -19 12 }}
|23.460
| 23.460
|-
|-
|
|
|[[41-comma]]
| [[41-comma]]
|wa-41 comma
| wa-41 comma
|w-41
| w-41
|
|
|{{monzo| 65 -41 }}
| {{monzo| 65 -41 }}
|19.845
| 19.845
|-
|-
|
|
|94-comma
| 94-comma
|wa-94 comma
| wa-94 comma
|w-94
| w-94
|
|
|{{monzo| 149 -94 }}
| {{monzo| 149 -94 }}
|16.230
| 16.230
|-
|-
|
|
|147-comma
| 147-comma
|wa-147 comma
| wa-147 comma
|w-147
| w-147
|
|
|{{monzo| 233 -147 }}
| {{monzo| 233 -147 }}
|12.615
| 12.615
|-
|-
|Pythagorean integer cent et comma
| Pythagorean integer cent et comma
|200-comma
| 200-comma
|wa-200 comma
| wa-200 comma
|w-200
| w-200
|
|
|{{monzo| 317 -200 }}
| {{monzo| 317 -200 }}
|8.9998
| 8.9998
|-
|-
|[[Mercator's comma]]
| [[Mercator's comma]]
|53-comma
| 53-comma
|wa-53 comma
| wa-53 comma
|w-53
| w-53
|
|
|{{monzo| -84 53 }}
| {{monzo| -84 53 }}
|3.6150
| 3.6150
|-
|-
|
|
|359-comma
| 359-comma
|wa-359 comma
| wa-359 comma
|w-359
| w-359
|
|
|{{monzo| -569 359 }}
| {{monzo| -569 359 }}
|1.8453
| 1.8453
|-
|-
|[[Sasktel comma]]
| [[Sasktel comma]]
|306-comma
| 306-comma
|wa-306 comma
| wa-306 comma
|w-306
| w-306
|
|
|{{monzo| 485 -306 }}
| {{monzo| 485 -306 }}
|1.7697
| 1.7697
|-
|-
|[[Satanic comma]]
| [[Satanic comma]]
|665-comma
| 665-comma
|wa-665 comma
| wa-665 comma
|w-665
| w-665
|
|
|{{monzo| -1054 665 }}
| {{monzo| -1054 665 }}
|0.075575
| 0.075575
|-
|-
|
|
|15601-comma
| 15601-comma
|wa-15601 comma
| wa-15601 comma
|w-15601
| w-15601
|
|
|{{monzo| 24727 -15601 }}
| {{monzo| 24727 -15601 }}
|0.031499
| 0.031499
|-
|-
|
|
|31867-comma
| 31867-comma
|wa-31867 comma
| wa-31867 comma
|w-31867
| w-31867
|
|
|{{monzo| -50508 31867 }}
| {{monzo| -50508 31867 }}
|0.012577
| 0.012577
|}
|}
[[Category:3-limit]]
[[Category:Comma]]
Retrieved from "https://en.xen.wiki/w/Table_of_3-limit_commas"