Xenharmonic Wiki

Table of 3-limit commas: Difference between revisions

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! colspan="2" |Name(s)
! colspan="2" |Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
! Ratio
! Monzo
! Monzo
! Cents
! Cents
!Name
! colspan="2" |[[Color notation|Color Name]]
!Monzo
!Cents
|-
|-
|
|
| 31867b-comma
|106-comma
| wa-31867b comma
|wa-106 comma
| w-31867b
|w-106
|{{monzo|169 -106}}
|1192.77
|
|
|
|
| {{monzo| 50509 -31867 }}
| 1199.987423
|-
|
|
| 15601b-comma
| wa-15601b comma
| w-15601b
|
|
| {{monzo| -24726 15601 }}
| 1199.968501
|-
|-
|
|
| 359b-comma
| 82-comma
| wa-359b comma
| wa-82 comma
| w-359b
| w-82
|{{monzo| 129 -82 }}
| 1160.31
|
|
| {{monzo| 570 -359 }}
| 1198.8547
|-
|
|
| 53b-comma
| wa-53b comma
| w-53b
|
|
| {{monzo| 85 -53 }}
| 1196.385
|-
|
|
| 147b-comma
| wa-147b comma
| w-147b
|
|
| {{monzo| -232 147 }}
| 1187.385
|-
|-
|
|
| 41b-comma
|130-comma
| wa-41b comma
|wa-130 comma
| w-41b
|w-130
|{{monzo| 207 -130 }}
|1145.85
|
|
| {{monzo| -64 41 }}
| 1180.155
|-
|
|
| 65b-comma
| wa-65b comma
| w-65b
|
|
| {{monzo| 102 -65}}
| 1172.925
|-
|
|
| 82-comma
| wa-82 comma
| w-82
|
|
| {{monzo| 129 -82 }}
| 1160.31
|-
|-
|
|
| 29b-comma
|123-comma
| wa-29b comma
|wa-123 comma
| w-29b
|w-123
|{{monzo| -194 123}}
|1140.465
|
|
|
| {{monzo| -45 29 }}
| 1156.695
|-
| Pythagorean supermajor seventh
| 17b-comma
| Large wa 7th
| Lw7
|
|
| {{monzo| -26 17 }}
| 1133.235
|-
|
|
| 89b-comma
| wa-89b comma
| w-89b
|
|
| {{monzo| 142 -89 }}
| 1126.005
|-
|-
|
|
Line 101: Line 64:
| wa-58 comma
| wa-58 comma
| w-58
| w-58
|{{monzo| -91 58 }}
| 1113.39
|
|
|
|
|
|
| {{monzo| -91 58 }}
| 1113.39
|-
|-
|
|
Line 109: Line 76:
| wa-48 comma
| wa-48 comma
| w-48
| w-48
|{{monzo| 77 -48 }}
| 1106.16
|
|
|
|
|
|
| {{monzo| 77 -48 }}
| 1106.16
|-
|-
|
|
| 101b-comma
|140-comma
| wa-101b comma
|wa-140 comma
| w-101b
|w-140
|{{monzo| -221 140 }}
|1073.7
|
|
|
|
|
|
| {{monzo| 159 -101 }}
| 1102.545
|-
|-
|
|
Line 125: Line 100:
| wa-87 comma
| wa-87 comma
| w-87
| w-87
|{{monzo| -137 87 }}
| 1070.085
|
|
|
|
|
|
| {{monzo| -137 87 }}
| 1070.085
|-
|-
|
|
Line 133: Line 112:
| wa-34 comma
| wa-34 comma
| w-34
| w-34
|{{monzo| -53 34 }}
| 1066.47
|
|
|
|
| {{monzo| -53 34 }}
| 1066.47
|-
|
|
| 19b-comma
| wa-19b comma
| w-19b
|
|
| {{monzo|31 -19}}
| 1062.855
|-
|-
|
|
Line 149: Line 124:
| wa-72 comma
| wa-72 comma
| w-72
| w-72
|{{monzo|115 -72}}
| 1059.24
|
|
|
|
| {{monzo|115 -72}}
| 1059.24
|-
|
|
| 77b-comma
| wa-77b comma
| w-77b
|
|
| {{monzo| 123 -77 }}
| 1049.465
|-
|-
|
|
| 75b-comma
|116-comma
| wa-75b comma
|wa-116 comma
| w-75b
|w-116
|{{monzo| -183 116 }}
|1026.78
|
|
| {{monzo|-118 75}}
| 1046.625
|-
|
|
| 31b-comma
| wa-31b comma
| w-31b
|
|
| {{monzo| 50 -31 }}
| 1039.395
|-
|
|
| 43b-comma
| wa-43b comma
| w-43b
|
|
| {{monzo| 67 -43 }}
| 1015.395
|-
|-
|
|
Line 189: Line 148:
| wa-51 comma
| wa-51 comma
| w-51
| w-51
|{{monzo| -80 51 }}
| 999.705
|
|
|
|
|
|-
|
|145-comma
|wa-145 comma
|w-145
|{{monzo| -229 145 }}
|983.475
|
|
|
|
|
|
| {{monzo| -80 51 }}
| 999.705
|-
|-
|
|
Line 197: Line 172:
| wa-92 comma
| wa-92 comma
| w-92
| w-92
|{{monzo| -145 92 }}
| 979.86
|
|
|
|
| {{monzo| -145 92 }}
| 979.86
|-
|
|
| 39b-comma
| wa-39b comma
| w-39b
|
|
| {{monzo| -61 39 }}
| 976.25
|-
|-
|
|
Line 213: Line 184:
| small wa 7th
| small wa 7th
| sw7
| sw7
|{{Monzo|23 -14}}
| 972.63
|
|
|
|
|
|
| {{Monzo|23 -14}}
| 972.63
|-
|-
| Pythagorean harmonic seventh
| 67b-comma
| wa-67b comma
| w-67b
|
|
| {{monzo| 107 -67 }}
|120-comma
| 969.015
|wa-120 comma
|-
|w-120
|{{monzo| 191 -120}}
|965.4
|
|
|
| 27b-comma
| wa-27b comma
| w-27b
|
|
| {{monzo| -44 27}}
| 952.785
|-
|
|
| 79b-comma
| wa-79b comma
| w-79b
|
|
| {{monzo| 126 -79 }}
| 945.555
|-
|-
|
|
Line 245: Line 208:
| wa-68 comma
| wa-68 comma
| w-68
| w-68
|{{monzo| -107 68 }}
| 932.94
|
|
|
|
|
|
| {{monzo| -107 68 }}
| 932.94
|-
|-
| Pythagorean supermajor sixth
| Pythagorean supermajor sixth
Line 253: Line 220:
| Large wa 6th
| Large wa 6th
| Lw6
| Lw6
|{{Monzo|-23 15}}
| 929.325
|
|
|
|
|
|
| {{Monzo|-23 15}}
| 929.325
|-
|-
|
|
Line 261: Line 232:
| wa-38 comma
| wa-38 comma
| w-38
| w-38
|{{monzo| -61 38 }}
| 925.71
|
|
|
|
|
|
| {{monzo| -61 38 }}
| 925.71
|-
|-
|
|
| 103-comma
|144-comma
| wa-103 comma
|wa-144 comma
| w-103
|w-144
|{{monzo| 229 -144 }}
|918.48
|
|
|
|
| {{monzo| -164 103 }}
| 898.63
|-
|
|
| 97b-comma
| wa-97b comma
| w-97b
|
|
| {{monzo|153 -97 }}
| 889.365
|-
|-
|
|
Line 285: Line 256:
| wa-44 comma
| wa-44 comma
| w-44
| w-44
|{{monzo| 69 -44 }}
| 886.02
|
|
|
|
|
|
| {{monzo| 69 -44 }}
| 886.02
|-
|-
|
|
Line 293: Line 268:
| wa-62 comma
| wa-62 comma
| w-62
| w-62
|{{monzo| 99 -62 }}
| 878.79
|
|
|
|
|
|
| {{monzo| 99 -62 }}
| 878.79
|-
|-
|
|
Line 301: Line 280:
| wa-85 comma
| wa-85 comma
| w-85
| w-85
|{{monzo| -134 85 }}
| 866.175
|
|
|
|
|
|
| {{monzo| -134 85 }}
| 866.175
|-
|-
|
|
Line 309: Line 292:
| wa-21 comma
| wa-21 comma
| w-21
| w-21
|{{Monzo| 34 -21}}
| 858.945
|
|
|
|
|
|
| {{Monzo| 34 -21}}
| 858.945
|-
|-
|
|
| 73b-comma
|126-comma
| wa-73b comma
|wa-126 comma
| w-73b
|w-126
|{{monzo| -199 126}}
|846.33
|
|
|
|
|
|
| {{monzo|-115 73}}
| 842.715
|-
|-
|
|
Line 325: Line 316:
| wa-20 comma
| wa-20 comma
| w-20
| w-20
|{{Monzo| -31 20}}
| 839.1
|
|
|
|
| {{Monzo| -31 20}}
| 839.1
|-
|
|
| 33b-comma
| wa-33b comma
| w-33b
|
|
| {{monzo| 53 -33 }}
| 835.485
|-
|-
|
|
Line 341: Line 328:
| wa-86 comma
| wa-86 comma
| w-86
| w-86
|{{monzo| 137 -86 }}
| 831.87
|
|
|
|
| {{monzo| 137 -86 }}
| 831.87
|-
|
|
| 61b-comma
| wa-61b comma
| w-61b
|
|
| {{monzo| -96 61 }}
| 819.255
|-
|-
|
|
Line 357: Line 340:
| wa-102 comma
| wa-102 comma
| w-102
| w-102
|{{monzo| -161 102 }}
| 799.41
|
|
|
|
|
|
| {{monzo| -161 102 }}
| 799.41
|-
|-
|
|
Line 365: Line 352:
| wa-57 comma
| wa-57 comma
| w-57
| w-57
|{{monzo| 91 -57 }}
| 788.565
|
|
| {{monzo| 91 -57 }}
| 788.565
|-
|
|
| 37b-comma
| wa-37b comma
| w-37b
|
|
| {{monzo| -58 37 }}
| 772.335
|-
|
|
| 69b-comma
| wa-69b comma
| w-69b
|
|
| {{monzo| 110 -69 }}
| 765.105
|-
|-
|
|
Line 389: Line 364:
| wa-25 comma
| wa-25 comma
| w-25
| w-25
|{{Monzo| -39 25}}
| 748.875
|
|
|
|
|
|
| {{Monzo| -39 25}}
| 748.875
|-
|-
|
|
Line 397: Line 376:
| wa-28 comma
| wa-28 comma
| w-28
| w-28
|{{monzo| 45 -28}}
| 745.26
|
|
|
|
|
|
| {{monzo| 45 -28}}
| 745.26
|-
|-
|
|
| 13b-comma
|134-comma
| wa-13b comma
|wa-134 comma
| w-13b
|w-134
|{{monzo| 213 -134 }}
|738.03
|
|
|
|
|
|-
|
|119-comma
|wa-119 comma
|w-119
|{{monzo| -188 119 }}
|732.645
|
|
|
|
|
|
| {{Monzo| -20 13}}
| 725.415
|-
|-
|
|
Line 413: Line 412:
| wa-93 comma
| wa-93 comma
| w-93
| w-93
|{{monzo| 148 -93 }}
| 718.185
|
|
|
|
|
|
| {{monzo| 148 -93 }}
| 718.185
|-
|-
|
|
Line 421: Line 424:
| wa-54 comma
| wa-54 comma
| w-54
| w-54
|{{monzo| -85 54 }}
| 705.57
|
|
|
|
|
|
| {{monzo| -85 54 }}
| 705.57
|-
|-
|
|
Line 429: Line 436:
| wa-52 comma
| wa-52 comma
| w-52
| w-52
|{{monzo| 83 -52 }}
| 698.33
|
|
|
|
|
|
| {{monzo| 83 -52 }}
| 698.33
|-
|-
| Pythagorean wolf fifth
|
| 11b-comma
|136-comma
| small wa 5th
|wa-136 comma
| sw5
|w-136
| 262144 / 177147
|{{monzo| -215 136 }}
| {{monzo| 18 -11}}
|665.88
| 678.495
|
|
|
|
|
|-
|-
|
|
Line 445: Line 460:
| wa-83 comma
| wa-83 comma
| w-83
| w-83
|{{monzo| -132 83 }}
| 662.265
|
|
|
|
|
|
| {{monzo| -132 83 }}
| 662.265
|-
|-
|
|
Line 453: Line 472:
| wa-30 comma
| wa-30 comma
| w-30
| w-30
|{{monzo| -47 30 }}
| 658.65
|
|
|
|
| {{monzo| -47 30 }}
| 658.65
|-
|
|
| 23b-comma
| wa-23b comma
| w-23b
|
|
| {{monzo| 37 -23}}
| 655.055
|-
|-
|
|
Line 469: Line 484:
| wa-76 comma
| wa-76 comma
| w-76
| w-76
|{{monzo| -121 76 }}
| 651.42
|
|
|
|
|
|
| {{monzo| -121 76 }}
| 651.42
|-
|-
|
|
| 71b-comma
|129-comma
| wa-71b comma
|wa-129 comma
| w-71b
|w-129
|{{monzo| 205 -129}}
|647.805
|
|
|
|
|
|
| {{monzo|-112 71}}
| 638.805
|-
|-
|
|
| 59b-comma
|112-comma
| wa-59b comma
|wa-112 comma
| w-59b
|w-112
|{{monzo| 177 -112 }}
|618.96
|
|
|
|
| {{monzo| -93 59 }}
| 615.345
|-
|
|
| 47b-comma
| wa-47b comma
| w-47b
|
|
| {{monzo| 75 -47 }}
| 610.115
|-
|-
|
|
Line 501: Line 520:
| wa-100 comma
| wa-100 comma
| w-100
| w-100
|{{monzo| 159 -100 }}
| 604.49
|
|
|
|
|
|
| {{monzo| 159 -100 }}
| 604.49
|-
|-
|
|
Line 509: Line 532:
| wa-47 comma
| wa-47 comma
| w-47
| w-47
|{{monzo| -74 47 }}
| 591.885
|
|
| {{monzo| -74 47 }}
|wa-47b comma
| 591.885
|w-47b
|{{monzo| 75 -47 }}
|610.115
|-
|-
|
|
Line 517: Line 544:
| wa-59 comma
| wa-59 comma
| w-59
| w-59
|{{monzo| 94 -59 }}
| 584.655
|
|wa-59b comma
|w-59b
|{{monzo| -93 59 }}
|615.345
|-
|
|141-comma
|wa-141 comma
|w-141
|{{monzo| -223 141 }}
|575.655
|
|
| {{monzo| 94 -59 }}
|wa-141b comma
| 584.655
|w-141b
|{{monzo| 224 -141 }}
|624.345
|-
|-
|
|
Line 525: Line 568:
| wa-88 comma
| wa-88 comma
| w-88
| w-88
|{{monzo| 139 -88 }}
| 572.04
|
|
|
|
|
|
| {{monzo| 139 -88 }}
| 572.04
|-
|-
|
|
Line 533: Line 580:
| wa-18 comma
| wa-18 comma
| w-18
| w-18
|{{monzo|29 -18}}
| 564.81
|
|
|
|
|
|
| {{monzo|29 -18}}
| 564.81
|-
|-
|
|
Line 541: Line 592:
| wa-23 comma
| wa-23 comma
| w-23
| w-23
|{{monzo| -36 23}}
| 544.965
|
|
| {{monzo| -36 23}}
|wa-23b comma
| 544.965
|w-23b
|{{monzo| 37 -23}}
|655.055
|-
|-
|
|
Line 549: Line 604:
| wa-83 comma
| wa-83 comma
| w-83
| w-83
|{{monzo| 133 -83 }}
| 537.735
|
|
|
|
|
|
| {{monzo| 133 -83 }}
| 537.735
|-
|-
|
|
Line 557: Line 616:
| wa-71 comma
| wa-71 comma
| w-71
| w-71
|{{monzo|113 -71}}
| 561.195
|
|wa-71b comma
|w-71b
|{{monzo|-112 71}}
|638.805
|-
|
|124-comma
|wa-124 comma
|w-124
|{{monzo| 197 -124}}
|557.58
|
|
|
|
|
|-
|
|117-comma
|wa-117 comma
|w-117
|{{monzo| -185 117 }}
|528.735
|
|
|
|
|
|
| {{monzo|113 -71}}
| 561.195
|-
|-
| Pythagorean-[[Armodue]] fourth
| Pythagorean-[[Armodue]] fourth
Line 565: Line 652:
| wa-64 comma
| wa-64 comma
| w-64
| w-64
|{{monzo| -101 64 }}
| 525.12
|
|
|
|
|
|
| {{monzo| -101 64 }}
| 525.12
|-
|-
| Pythagorean wolf fourth
| Pythagorean wolf fourth
Line 573: Line 664:
| Large wa 4th
| Large wa 4th
| Lw4
| Lw4
| 177147 / 131072
|{{monzo| -17 11}}
| {{monzo| -17 11}}
| 521.505
| 521.505
|Pythagorean wolf fifth
|small wa 5th
|sw5
|{{monzo| 18 -11}}
|678.495
|-
|-
|
|
Line 581: Line 676:
| wa-42 comma
| wa-42 comma
| w-42
| w-42
|{{monzo| 67 -42 }}
| 517.89
|
|
|
|
|
|
| {{monzo| 67 -42 }}
| 517.89
|-
|-
|
|
Line 589: Line 688:
| wa-95 comma
| wa-95 comma
| w-95
| w-95
|{{monzo| 151 -95 }}
| 514.275
|
|
| {{monzo| 151 -95 }}
|
| 514.275
|
|
|
|-
|
|148-comma
|wa-148 comma
|w-148
|{{monzo| 235 -148 }}
|510.66
|
|
|
|
|
|-
|
|105-comma
|wa-105 comma
|w-105
|{{monzo|-166 105}}
|505.275
|
|wa-105b comma
|w-105b
|{{monzo|167 -105}}
|694.725
|-
|-
|perfect fourth
|[[4/3|perfect fourth]]
| 1-comma
| 1-comma
| wa 4th
| wa 4th
| w4
| w4
| [[4/3|4 / 3]]
|{{monzo| 2 -1}}
| {{monzo| 2 -1}}
| 498.045
| 498.045
|[[perfect fifth]]
|wa 5th
|w5
|{{monzo| -1 1}}
|701.955
|-
|
|107-comma
|wa-107 comma
|w-107
|{{monzo|170 -107}}
|490.815
|
|wa-107b comma
|w-107b
|{{monzo|-169 107}}
|709.185
|-
|
|146-comma
|wa-146 comma
|w-146
|{{monzo| -229 146 }}
|485.43
|
|
|
|
|
|-
|-
|
|
Line 605: Line 760:
| wa-40 comma
| wa-40 comma
| w-40
| w-40
|{{monzo| 63 -40 }}
| 478.2
|
|
|
|
|
|
| {{monzo| 63 -40 }}
| 478.2
|-
|-
|
|
| 13-comma
| 13-comma
| wa-13 comma
| small wa 4th
| w-13
| sw4
|{{Monzo| 21 -13}}
| 474.585
|
|
| {{Monzo| 21 -13}}
|Large wa 5th
| 474.585
|Lw5
|{{Monzo| -20 13}}
|725.415
|-
|-
|
|
Line 621: Line 784:
| wa-81 comma
| wa-81 comma
| w-81
| w-81
|{{monzo| -128 81 }}
| 458.355
|
|
|
|
|
|-
|
|131-comma
|wa-131 comma
|w-131
|{{monzo| 208 -131 }}
|443.895
|
|wa-131b comma
|w-131b
|{{monzo|-207 131 }}
|756.195
|-
|
|122-comma
|wa-122 comma
|w-122
|{{monzo| -193 122}}
|438.51
|
|
|
|
|
|
| {{monzo| -128 81 }}
| 458.355
|-
|-
|
|
Line 629: Line 820:
| wa-69 comma
| wa-69 comma
| w-69
| w-69
|{{monzo| -109 69 }}
| 434.895
|
|
| {{monzo| -109 69 }}
|wa-69b comma
| 434.895
|w-69b
|{{monzo| 110 -69 }}
|765.105
|-
|-
| Pythagorean supermajor third
| Pythagorean supermajor third
Line 637: Line 832:
| Large wa 3rd
| Large wa 3rd
| Lw3
| Lw3
|{{Monzo|-25 16}}
| 431.28
|
|
|
|
|
|
| {{Monzo|-25 16}}
| 431.28
|-
|-
|
|
Line 645: Line 844:
| wa-37 comma
| wa-37 comma
| w-37
| w-37
|{{monzo| 59 -37 }}
| 427.665
|
|
| {{monzo| 59 -37 }}
|wa-37b comma
| 427.665
|w-37b
|{{monzo| -58 37 }}
|772.335
|-
|-
|
|
Line 653: Line 856:
| wa-90 comma
| wa-90 comma
| w-90
| w-90
|{{monzo| -143 90 }}
| 424.05
|
|
| {{monzo| -143 90 }}
|
| 424.05
|
|
|
|-
|
|143-comma
|wa-143 comma
|w-143
|{{monzo| -227 143 }}
|420.435
|
|wa-143b comma
|w-143b
|{{monzo| 228 -143 }}
|779.565
|-
|-
|
|
Line 661: Line 880:
| wa-49 comma
| wa-49 comma
| w-49
| w-49
|{{monzo| 78 -49 }}
| 404.205
|
|
|
|
|
|-
|
|151-comma
|wa-151 comma
|w-151
|{{monzo|-239 151}}
|395.205
|
|
| {{monzo| 78 -49 }}
|wa-151b comma
| 404.205
|w-151b
|{{monzo| 240 -151}}
|804.795
|-
|-
|
|
Line 669: Line 904:
| wa-98 comma
| wa-98 comma
| w-98
| w-98
|{{monzo| -155 98 }}
| 391.59
|
|
|
|
|
|
| {{monzo| -155 98 }}
| 391.59
|-
|-
|
|
Line 677: Line 916:
| wa-45 comma
| wa-45 comma
| w-45
| w-45
|{{monzo| -71 45 }}
| 387.975
|
|
|
|
|
|
| {{monzo| -71 45 }}
| 387.975
|-
|-
| Pythagorean diminished fourth
| Pythagorean diminished fourth
Line 685: Line 928:
| small wa 4th
| small wa 4th
| sw4
| sw4
| [[8192/6561|8192 / 6561]]
|{{Monzo| 13 -8 }}
| {{Monzo| 13 -8 }}
| 384.360
| 384.360
|
|
|
|
|
|-
|-
| Pythagorean 1/5 tritave
| Pythagorean 1/5 tritave
Line 693: Line 940:
| wa-61 comma
| wa-61 comma
| w-61
| w-61
|{{monzo| 97 -61 }}
| 380.745
|
|wa-61b comma
|w-61b
|{{monzo| -96 61 }}
|819.255
|-
|
|114-comma
|wa-114 comma
|w-114
|{{monzo| 181 -114 }}
|377.13
|
|
| {{monzo| 97 -61 }}
|
| 380.745
|
|
|
|-
|
|139-comma
|wa-139 comma
|w-139
|{{monzo| -220 139 }}
|371.745
|
|wa-139b comma
|w-139b
|{{monzo| 221 -139 }}
|828.255
|-
|-
|
|
Line 701: Line 976:
| wa-33 comma
| wa-33 comma
| w-33
| w-33
|{{monzo| -52 33 }}
| 364.515
|
|
| {{monzo| -52 33 }}
|wa-33b comma
| 364.515
|w-33b
|{{monzo| 53 -33 }}
|835.485
|-
|-
|
|
Line 709: Line 988:
| wa-73 comma
| wa-73 comma
| w-73
| w-73
|{{monzo|116 -73}}
| 357.285
|
|wa-73b comma
|w-73b
|{{monzo|-115 73}}
|842.715
|-
|
|
| {{monzo|116 -73}}
|127-comma
| 357.285
|wa-127 comma
|w-127
|{{monzo| -201 127}}
|348.285
|
|wa-127 comma
|w-127
|{{monzo| 202 -127}}
|851.715
|-
|-
|
|
Line 717: Line 1,012:
| wa-74 comma
| wa-74 comma
| w-74
| w-74
|{{monzo|117 -74}}
| 344.67
|
|
|
|
|
|
| {{monzo|117 -74}}
| 344.67
|-
|-
|
|
Line 725: Line 1,024:
| wa-32 comma
| wa-32 comma
| w-32
| w-32
|{{monzo| 51 -32 }}
| 337.44
|
|
| {{monzo| 51 -32 }}
|
| 337.44
|
|
|
|-
|
|115-comma
|wa-115 comma
|w-115
|{{monzo| -182 115 }}
|324.825
|
|wa-115b comma
|w-115b
|{{monzo| 183 -115 }}
|875.175
|-
|-
| Pythagorean augmented second
| Pythagorean augmented second
Line 733: Line 1,048:
| large wa 2nd
| large wa 2nd
| Lw2
| Lw2
| [[19683/16384]]
|{{Monzo| -14 9 }}
| {{Monzo| -14 9 }}
| 317.595
| 317.595
|
|
|
|
|
|-
|-
|
|
Line 741: Line 1,060:
| wa-97 comma
| wa-97 comma
| w-97
| w-97
|{{monzo| 153 -97 }}
| 310.365
|
|
| {{monzo| 153 -97 }}
|wa-97b comma
| 310.365
|w-97b
|{{monzo|153 -97 }}
|889.365
|-
|
|103-comma
|wa-103 comma
|w-103
|{{monzo|-163 103 }}
|301.37
|
|wa-103b comma
|w-103b
|{{monzo| 164 -103 }}
|898.63
|-
|-
|
|
Line 749: Line 1,084:
| wa-50 comma
| wa-50 comma
| w-50
| w-50
|{{monzo| -79 50 }}
| 297.75
|
|
|
|
|
|
| {{monzo| -79 50 }}
| 297.75
|-
|-
| Pythagorean minor third
| Pythagorean minor third
Line 757: Line 1,096:
| wa 3rd
| wa 3rd
| w3
| w3
| [[32/27|32 / 27]]
|{{Monzo| 5 -3 }}
| {{Monzo| 5 -3 }}
| 294.135
| 294.135
|Pythagorean major sixth
|wa 6th
|w6
|{{Monzo| -4 3 }}
|905.865
|-
|-
|
|
Line 765: Line 1,108:
| wa-56 comma
| wa-56 comma
| w-56
| w-56
|{{monzo| 89 -56 }}
| 290.52
|
|
| {{monzo| 89 -56 }}
|
| 290.52
|
|
|
|-
|
|109-comma
|wa-109 comma
|w-109
|{{monzo|173 -109}}
|286.905
|
|wa-109b comma
|w-109b
|{{monzo|-172 109}}
|913.095
|-
|-
|
|
Line 773: Line 1,132:
| wa-91 comma
| wa-91 comma
| w-91
| w-91
|{{monzo| -144 91 }}
| 277.905
|
|wa-91b comma
|w-91b
|{{monzo| 145 -91 }}
|922.095
|-
|
|121-comma
|wa-121 comma
|w-121
|{{monzo| 192 -121}}
|263.445
|
|wa-121b comma
|w-121b
|{{monzo| -191 121}}
|936.555
|-
|
|131-comma
|wa-131 comma
|w-131
|{{monzo| 208 -131 }}
|258.06
|
|
|
|
|
|
| {{monzo| -144 91 }}
| 277.905
|-
|-
|
|
Line 781: Line 1,168:
| wa-79 comma
| wa-79 comma
| w-79
| w-79
|
| {{monzo| -125 79 }}
| {{monzo| -125 79 }}
| 254.445
| 254.445
|-
|
|
| 75-comma
|wa-79b comma
| wa-75 comma
|w-79b
| w-75
|{{monzo| 126 -79 }}
|
|945.555
| {{monzo|119 -75}}
| 253.375
|-
|-
|
|
Line 797: Line 1,180:
| wa-26 comma
| wa-26 comma
| w-26
| w-26
|{{monzo| -41 26 }}
| 250.83
|
|
|
|
|
|
| {{monzo| -41 26 }}
| 250.83
|-
|-
|
|
Line 805: Line 1,192:
| wa-27 comma
| wa-27 comma
| w-27
| w-27
|{{monzo| 43 -27 }}
| 247.215
|
|
| {{monzo| 43 -27 }}
|wa-27b comma
| 247.215
|w-27b
|{{monzo| -44 27}}
|952.785
|-
|-
|
|
Line 813: Line 1,204:
| wa-80 comma
| wa-80 comma
| w-80
| w-80
|{{monzo| 127 -80 }}
| 243.6
|
|
|
|
|
|
| {{monzo| 127 -80 }}
| 243.6
|-
|-
|
|
Line 821: Line 1,216:
| wa-67 comma
| wa-67 comma
| w-67
| w-67
|
|{{monzo| -106 67 }}
| {{monzo| -106 67 }}
| 230.985
| 230.985
|Pythagorean harmonic seventh
|wa-67b comma
|w-67b
|{{monzo| 107 -67 }}
|969.015
|-
|-
|
|
Line 829: Line 1,228:
| wa-39 comma
| wa-39 comma
| w-39
| w-39
|{{monzo| 62 -39 }}
| 223.75
|
|
| {{monzo| 62 -39 }}
|wa-39b comma
| 223.75
|w-39b
|{{monzo| -61 39 }}
|976.25
|-
|-
|
|
Line 837: Line 1,240:
| wa-55 comma
| wa-55 comma
| w-55
| w-55
|{{monzo| -87 55 }}
| 207.525
|
|
|
|
|
|
| {{monzo| -87 55 }}
| 207.525
|-
|-
| whole tone
| whole tone
Line 845: Line 1,252:
| wa 2nd
| wa 2nd
| w2
| w2
| [[9/8|9 / 8]]
|{{monzo| -3 2 }}
| {{monzo| -3 2 }}
| 203.91
| 203.91
|
|
|
|
|
|-
|
|104-comma
|wa-104 comma
|w-104
|{{monzo|165 -104}}
|196.68
|
|
|
|
|
|-
|
|149-comma
|wa-149 comma
|w-149
|{{monzo| -236 149 }}
|191.295
|
|wa-149b comma
|w-149b
|{{monzo| 237 -149 }}
|1008.705
|-
|-
|
|
Line 853: Line 1,288:
| wa-43 comma
| wa-43 comma
| w-43
| w-43
|{{monzo| -68 43 }}
| 184.065
|
|
| {{monzo| -68 43 }}
|wa-43b comma
| 184.065
|w-43b
|{{monzo| 67 -43 }}
|1015.395
|-
|-
|
|
Line 861: Line 1,300:
| wa-63 comma
| wa-63 comma
| w-63
| w-63
|{{monzo| 100 -63 }}
| 176.835
|
|
|
|
|
|-
|
|137-comma
|wa-137 comma
|w-137
|{{monzo| -217 137 }}
|167.835
|
|
| {{monzo| 100 -63 }}
|wa-137b comma
| 176.835
|w-137b
|{{monzo| 218 -137 }}
|1032.165
|-
|-
|
|
| [[31-comma_temperaments|31-comma]]
|[[31-comma_temperaments|31-comma]]
| wa-31 comma
| wa-31 comma
| w-31
| w-31
|{{monzo| -49 31 }}
| 160.605
|
|
| {{monzo| -49 31 }}
|wa-31b comma
| 160.605
|w-31b
|{{monzo| 50 -31 }}
|1039.395
|-
|-
|
|
Line 877: Line 1,336:
| wa-22 comma
| wa-22 comma
| w-22
| w-22
|{{monzo| 35 -22 }}
| 156.99
|
|
|
|
|
|-
|
| 75-comma
| wa-75 comma
| w-75
|{{monzo|119 -75}}
| 153.375
|
|wa-75b comma
|w-75b
|{{monzo|-118 75}}
|1046.625
|-
|
|128-comma
|wa-128 comma
|w-128
|{{monzo| 203 -128}}
|149.76
|
|
|
|
|
|-
|
|125-comma
|wa-125 comma
|w-125
|{{monzo| -198 125}}
|144.375
|
|
| {{monzo| 35 -22 }}
|wa-125b comma
| 156.99
|w-125b
|{{monzo| 199 -125}}
|1055.625
|-
|-
|
|
Line 885: Line 1,384:
| wa-19 comma
| wa-19 comma
| w-19
| w-19
|
|{{monzo| -30 19 }}
| {{monzo| -30 19 }}
| 137.145
| 137.145
|
|wa-19b comma
|w-19b
|{{monzo|31 -19}}
|1062.855
|-
|-
| apotome
|
|113-comma
|wa-113 comma
|w-113
|{{monzo| 179 -113 }}
|120.915
|
|wa-113b comma
|w-113b
|{{monzo| 180 -113 }}
|1079.085
|-
| [[2187/2048|apotome]]
| 7-comma
| 7-comma
| large wa unison
| large wa unison
| Lw1
| Lw1
| [[2187/2048|2187 / 2048]]
|{{monzo| -11 7 }}
| {{monzo| -11 7 }}
| 113.685
| 113.685
|
|small wa octave
|Sw8
|{{monzo| 12 -7 }}
|1086.315
|-
|-
|
|
Line 901: Line 1,420:
| wa-46 comma
| wa-46 comma
| w-46
| w-46
|{{monzo| 73 -46 }}
| 110.07
|
|
|
|
|
|
| {{monzo| 73 -46 }}
| 110.07
|-
|-
|
|
Line 909: Line 1,432:
| wa-99 comma
| wa-99 comma
| w-99
| w-99
|{{monzo| 157 -99 }}
| 106.455
|
|
|
|
|
|
| {{monzo| 157 -99 }}
| 106.455
|-
|-
|
|
Line 917: Line 1,444:
| wa-101 comma
| wa-101 comma
| w-101
| w-101
|{{monzo| -160 101 }}
| 97.455
|
|
| {{monzo| -160 101 }}
|wa-101b comma
| 97.455
|w-101b
|{{monzo| 159 -101 }}
|1102.545
|-
|-
| limma, Pythagorean minor second
| limma, Pythagorean minor second
Line 925: Line 1,456:
| small wa 2nd
| small wa 2nd
| sw2
| sw2
| [[256/243|256 / 243]]
|{{monzo| 8 -5 }}
| {{monzo| 8 -5 }}
| 90.225
| 90.225
|Pythagorean major seventh
|large wa 7th
|Lw7
|{{monzo| -7 5 }}
|1109.775
|-
|-
|
|
Line 933: Line 1,468:
| wa-301 comma
| wa-301 comma
| w-301
| w-301
|{{monzo| -477 301 }}
| 88.455
|
|
| {{monzo| -477 301 }}
|wa-301b comma
| 88.455
|w-301b
|{{monzo| 478 -301 }}
|1111.545
|-
|-
|
|
Line 941: Line 1,480:
| wa-248 comma
| wa-248 comma
| w-248
| w-248
|{{monzo| -393 248 }}
| 84.840
|
|
|
|
|
|
| {{monzo| -393 248 }}
| 84.840
|-
|-
|
|
Line 949: Line 1,492:
| wa-111 comma
| wa-111 comma
| w-111
| w-111
|{{monzo| 176 -111 }}
| 82.995
|
|
| {{monzo| 176 -111 }}
|wa-111b comma
| 82.995
|w-111b
|{{monzo| -175 111 }}
|1117.005
|-
|-
|
|
Line 957: Line 1,504:
| wa-142 comma
| wa-142 comma
| w-142
| w-142
|{{monzo| -225 142 }}
| 77.610
|
|
|
|
|
|
| {{monzo| -225 142 }}
| 77.610
|-
|-
|
|
Line 965: Line 1,516:
| wa-217 comma
| wa-217 comma
| w-217
| w-217
|{{monzo| 344 -217 }}
| 75.765
|
|
|
|
|
|
| {{monzo| 344 -217 }}
| 75.765
|-
|-
|
|
Line 973: Line 1,528:
| wa-89 comma
| wa-89 comma
| w-89
| w-89
|{{monzo| -141 89 }}
| 73.995
|
|
| {{monzo| -141 89 }}
|wa-89b comma
| 73.995
|w-89b
|{{monzo| 142 -89 }}
|1126.005
|-
|-
|
|
| [[17-comma]]
|[[17-comma]]
| wa-17 comma
| wa-17 comma
| ssw3
| ssw3
| 134217728 / 129140163
|{{monzo| 27 -17 }}
| {{monzo| 27 -17 }}
| 66.765
| 66.765
|Pythagorean supermajor seventh
|Large wa 7th
|Lw7
|{{monzo| -26 17 }}
|1133.235
|-
|-
|
|
Line 989: Line 1,552:
| wa-289 comma
| wa-289 comma
| w-289
| w-289
|{{monzo| -458 289 }}
| 64.995
|
|
| {{monzo| -458 289 }}
|wa-289b comma
| 64.995
|w-289b
|{{monzo| 459 -289 }}
|1135.005
|-
|-
|
|
Line 997: Line 1,564:
| wa-70 comma
| wa-70 comma
| w-70
| w-70
|{{monzo| 111 -70 }}
| 63.150
|
|
|
|
|
|
| {{monzo| 111 -70 }}
| 63.150
|-
|-
|
|
Line 1,005: Line 1,576:
| wa-183 comma
| wa-183 comma
| w-183
| w-183
|{{monzo| -290 183 }}
| 57.765
|
|
|
|
|
|
| {{monzo| -290 183 }}
| 57.765
|-
|-
|
|
Line 1,013: Line 1,588:
| wa-176 comma
| wa-176 comma
| w-176
| w-176
|{{monzo| 279 -176 }}
| 55.920
|
|
|
|
|
|
| {{monzo| 279 -176 }}
| 55.920
|-
|-
|
|
Line 1,021: Line 1,600:
| wa-229 comma
| wa-229 comma
| w-229
| w-229
|{{monzo| 363 -229 }}
| 52.305
|
|
| {{monzo| 363 -229 }}
|wa-229b comma
| 52.305
|w-229b
|{{monzo| -362 229 }}
|1147.695
|-
|-
|
|
Line 1,029: Line 1,612:
| wa-77 comma
| wa-77 comma
| w-77
| w-77
|{{monzo| -122 77 }}
| 50.535
|
|
| {{monzo| -122 77 }}
|wa-77b comma
| 50.535
|w-77b
|{{monzo| 123 -77 }}
|1149.465
|-
|-
|
|
| [[29-comma]]
|[[29-comma]]
| wa-29 comma
| wa-29 comma
| w-29
| w-29
|{{monzo| 46 -29 }}
| 43.305
|
|
| {{monzo| 46 -29 }}
|wa-29b comma
| 43.305
|w-29b
|{{monzo| -45 29 }}
|1156.695
|-
|-
|
|
Line 1,045: Line 1,636:
| wa-277 comma
| wa-277 comma
| w-277
| w-277
|{{monzo| -439 277 }}
| 41.535
|
|
| {{monzo| -439 277 }}
|wa-277b comma
| 41.535
|w-277b
|{{monzo| 440 -277 }}
|1158.465
|-
|-
|
|
Line 1,053: Line 1,648:
| wa-224 comma
| wa-224 comma
| w-224
| w-224
|{{monzo| -355 224 }}
| 37.920
|
|
|
|
|
|
| {{monzo| -355 224 }}
| 37.920
|-
|-
|
|
Line 1,061: Line 1,660:
| wa-135 comma
| wa-135 comma
| w-135
| w-135
|{{monzo| 214 -135 }}
| 36.075
|
|
|
|
|
|
| {{monzo| 214 -135 }}
| 36.075
|-
|-
|
|
Line 1,069: Line 1,672:
| wa-171 comma
| wa-171 comma
| w-171
| w-171
|{{monzo| -271 171 }}
| 34.305
|
|
|
|
|
|
| {{monzo| -271 171 }}
| 34.305
|-
|-
|
|
Line 1,077: Line 1,684:
| wa-118 comma
| wa-118 comma
| w-118
| w-118
|{{monzo| -187 118 }}
| 30.690
|
|
|
|
|
|
| {{monzo| -187 118 }}
| 30.690
|-
|-
|
|
Line 1,085: Line 1,696:
| wa-241 comma
| wa-241 comma
| w-241
| w-241
|{{monzo| 382 -241 }}
| 28.845
|
|
| {{monzo| 382 -241 }}
|wa-241b comma
| 28.845
|w-241b
|{{monzo| -381 241 }}
|1171.155
|-
|-
| Pythagorean septimal comma
| Pythagorean septimal comma
Line 1,093: Line 1,708:
| wa-65 comma
| wa-65 comma
| w-65
| w-65
|{{monzo| -103 65 }}
| 27.075
|
|
| {{monzo| -103 65 }}
|wa-65b comma
| 27.075
|w-65b
|{{monzo| 102 -65}}
|1172.925
|-
|-
| [[Pythagorean comma]]
| [[Pythagorean comma]]
Line 1,101: Line 1,720:
| lalawa comma <br>or wa comma
| lalawa comma <br>or wa comma
| LLw-2
| LLw-2
| 531441 / 524288
|{{monzo| -19 12 }}
| {{monzo| -19 12 }}
| 23.460
| 23.460
|
|
|
|
|
|-
|-
| [[Counterpyth family|Counterpyth comma]]
|[[Counterpyth family|Counterpyth comma]]
| [[41-comma]]
|[[41-comma]]
| wa-41 comma
| wa-41 comma
| w-41
| w-41
|{{monzo| 65 -41 }}
| 19.845
|
|
| {{monzo| 65 -41 }}
|wa-41b comma
| 19.845
|w-41b
|{{monzo| -64 41 }}
|1180.155
|-
|-
| [[Stearnsmic clan #Garistearn|Garistearn comma]]
|[[Stearnsmic clan #Garistearn|Garistearn comma]]
| 94-comma
| 94-comma
| wa-94 comma
| wa-94 comma
| w-94
| w-94
|{{monzo| 149 -94 }}
| 16.230
|
|
|
|
|
|
| {{monzo| 149 -94 }}
| 16.230
|-
|-
|
|
Line 1,125: Line 1,756:
| wa-147 comma
| wa-147 comma
| w-147
| w-147
|{{monzo| 233 -147 }}
| 12.615
|
|
| {{monzo| 233 -147 }}
|wa-147b comma
| 12.615
|w-147b
|{{monzo| -232 147 }}
|1187.385
|-
|-
| Pythagorean integer-cent ET comma
| Pythagorean integer-cent ET comma
Line 1,133: Line 1,768:
| wa-200 comma
| wa-200 comma
| w-200
| w-200
|{{monzo| 317 -200 }}
| 8.9998
|
|
|
|
|
|
| {{monzo| 317 -200 }}
| 8.9998
|-
|-
|
|
Line 1,141: Line 1,780:
| wa-253 comma
| wa-253 comma
| w-253
| w-253
|{{monzo| 401 -253 }}
| 5.3848
|
|
| {{monzo| 401 -253 }}
|wa-253b comma
| 5.3848
|w-253b
|{{monzo| -400 253 }}
|1194.6152
|-
|-
| [[Mercator's comma]]
|[[Mercator's comma]]
| 53-comma
| 53-comma
| wa-53 comma
| wa-53 comma
| w-53
| w-53
|{{monzo| -84 53 }}
| 3.6150
|
|
| {{monzo| -84 53 }}
|wa-53b comma
| 3.6150
|w-53b
|{{monzo| 85 -53 }}
|1196.385
|-
|-
|
|
Line 1,157: Line 1,804:
| wa-359 comma
| wa-359 comma
| w-359
| w-359
|{{monzo| -569 359 }}
| 1.8453
|
|
| {{monzo| -569 359 }}
|wa-359b comma
| 1.8453
|w-359b
|{{monzo| 570 -359 }}
|1198.8547
|-
|-
| [[Sasktel comma]]
|[[Sasktel comma]]
| 306-comma
| 306-comma
| wa-306 comma
| wa-306 comma
| w-306
| w-306
|{{monzo| 485 -306 }}
| 1.7697
|
|
|
|
|
|
| {{monzo| 485 -306 }}
| 1.7697
|-
|-
| [[Satanic comma]]
|[[Satanic comma]]
| 665-comma
| 665-comma
| wa-665 comma
| wa-665 comma
| w-665
| w-665
|{{monzo| -1054 665 }}
| 0.075575
|
|
|
|
|
|
| {{monzo| -1054 665 }}
| 0.075575
|-
|-
|
|
Line 1,181: Line 1,840:
| wa-15601 comma
| wa-15601 comma
| w-15601
| w-15601
|{{monzo| 24727 -15601 }}
| 0.031499
|
|
| {{monzo| 24727 -15601 }}
|wa-15601b comma
| 0.031499
|w-15601b
|{{monzo| -24726 15601 }}
|1199.968501
|-
|-
|
|
Line 1,189: Line 1,852:
| wa-31867 comma
| wa-31867 comma
| w-31867
| w-31867
|{{monzo| -50508 31867 }}
| 0.012577
|
|
| {{monzo| -50508 31867 }}
|wa-31867b comma
| 0.012577
|w-31867b
|{{monzo| 50509 -31867 }}
|1199.987423
|}
|}


[[Category:3-limit]]
[[Category:3-limit]]
[[Category:Comma]]
[[Category:Comma]]
Retrieved from "https://en.xen.wiki/w/Table_of_3-limit_commas"