Table of 270edo intervals: Difference between revisions

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+intro
Reduce visual cluttering by replacing duplicate ratios with ditto marks. Bold prime harmonics
Line 1: Line 1:
This '''table of 270edo intervals''' assumes the 13-limit [[patent val]] of [[270edo]] {{val| 270 428 647 758 934 999 }}.  
This '''table of 270edo intervals''' assumes the 13-limit [[patent val]] of [[270edo]] {{val| 270 428 647 758 934 999 }}. [[Prime harmonic]]s are in '''bold'''.  


{| class="wikitable center-all right-1 right-2"
{| class="wikitable center-all right-1 right-2"
Line 14: Line 14:
| 0.0
| 0.0
| P1
| P1
| 1/1
| '''1/1'''
| 1/1
| "
| 1/1
| "
| 1/1
| "
|-
|-
| 1
| 1
Line 41: Line 41:
| 126/125
| 126/125
| 121/120
| 121/120
| 121/120
| "
|-
|-
| 4
| 4
Line 47: Line 47:
|  
|  
| 2048/2025
| 2048/2025
| 2048/2025
| "
| 99/98
| 99/98
| 91/90
| 91/90
Line 55: Line 55:
|  
|  
| 81/80
| 81/80
| 81/80
| "
| 81/80
| "
| 78/77
| 78/77
|-
|-
Line 64: Line 64:
| 20000/19683
| 20000/19683
| 64/63
| 64/63
| 64/63
| "
| 64/63
| "
|-
|-
| 7
| 7
Line 71: Line 71:
|  
|  
| 3125/3072
| 3125/3072
| 3125/3072
| "
| 55/54
| 55/54
| 55/54
| "
|-
|-
| 8
| 8
Line 80: Line 80:
| 1594323/1562500
| 1594323/1562500
| 49/48
| 49/48
| 49/48
| "
| 49/48
| "
|-
|-
| 9
| 9
Line 87: Line 87:
|  
|  
| 128/125
| 128/125
| 128/125
| "
| 45/44
| 45/44
| 45/44
| "
|-
|-
| 10
| 10
Line 104: Line 104:
| 250/243
| 250/243
| 36/35
| 36/35
| 36/35
| "
| 36/35
| "
|-
|-
| 12
| 12
Line 113: Line 113:
| 4096/3969
| 4096/3969
| 33/32
| 33/32
| 33/32
| "
|-
|-
| 13
| 13
Line 128: Line 128:
| 648/625
| 648/625
| 28/27
| 28/27
| 28/27
| "
| 28/27
| "
|-
|-
| 15
| 15
Line 143: Line 143:
|  
|  
| 25/24
| 25/24
| 25/24
| "
| 25/24
| "
| 25/24
| "
|-
|-
| 17
| 17
Line 152: Line 152:
| 273375/262144
| 273375/262144
| 256/245
| 256/245
| 256/245
| "
| 117/112
| 117/112
|-
|-
Line 161: Line 161:
| 1875/1792
| 1875/1792
| 22/21
| 22/21
| 22/21
| "
|-
|-
| 19
| 19
Line 168: Line 168:
| 6561/6250
| 6561/6250
| 21/20
| 21/20
| 21/20
| "
| 21/20
| "
|-
|-
| 20
| 20
Line 175: Line 175:
| m2
| m2
| 256/243
| 256/243
| 256/243
| "
| 81/77
| 81/77
| 81/77
| "
|-
|-
| 21
| 21
Line 183: Line 183:
|  
|  
| 135/128
| 135/128
| 135/128
| "
| 132/125
| 132/125
| 96/91
| 96/91
Line 201: Line 201:
| 3584/3375
| 3584/3375
| 35/33
| 35/33
| 35/33
| "
|-
|-
| 24
| 24
Line 208: Line 208:
| 524288/492075
| 524288/492075
| 625/588
| 625/588
| 625/588
| "
| 117/110
| 117/110
|-
|-
Line 215: Line 215:
|  
|  
| 16/15
| 16/15
| 16/15
| "
| 16/15
| "
| 16/15
| "
|-
|-
| 26
| 26
| 115.{{overline|5}}
| 115.{{overline|5}}
|  
|  
| 2187/2048
| 2187/2048
| 2187/2048
| "
| 77/72
| 77/72
| 77/72
| "
|-
|-
| 27
| 27
Line 232: Line 232:
| 3125/2916
| 3125/2916
| 15/14
| 15/14
| 15/14
| "
| 15/14
| "
|-
|-
| 28
| 28
Line 255: Line 255:
|  
|  
| 27/25
| 27/25
| 27/25
| "
| 27/25
| "
| 27/25
| "
|-
|-
| 31
| 31
Line 273: Line 273:
| 243/224
| 243/224
| 88/81
| 88/81
| 88/81
| "
|-
|-
| 33
| 33
Line 280: Line 280:
| 2125764/1953125
| 2125764/1953125
| 49/45
| 49/45
| 49/45
| "
| 49/45
| "
|-
|-
| 34
| 34
Line 287: Line 287:
|  
|  
| 2048/1875
| 2048/1875
| 2048/1875
| "
| 12/11
| 12/11
| 12/11
| "
|-
|-
| 35
| 35
Line 296: Line 296:
| 2187/2000
| 2187/2000
| 35/32
| 35/32
| 35/32
| "
| 35/32
| "
|-
|-
| 36
| 36
Line 304: Line 304:
| 800/729
| 800/729
| 192/175
| 192/175
| 192/175
| "
| 169/154
| 169/154
|-
|-
Line 311: Line 311:
|  
|  
| 1125/1024
| 1125/1024
| 1125/1024
| "
| 11/10
| 11/10
| 11/10
| "
|-
|-
| 38
| 38
Line 320: Line 320:
| 390625/354294
| 390625/354294
| 54/49
| 54/49
| 54/49
| "
| 54/49
| "
|-
|-
| 39
| 39
Line 329: Line 329:
| 448/405
| 448/405
| 243/220
| 243/220
| 243/220
| "
|-
|-
| 40
| 40
Line 343: Line 343:
|  
|  
| 10/9
| 10/9
| 10/9
| "
| 10/9
| "
| 10/9
| "
|-
|-
| 42
| 42
Line 360: Line 360:
| 78125/69984
| 78125/69984
| 125/112
| 125/112
| 125/112
| "
| 125/112
| "
|-
|-
| 44
| 44
Line 368: Line 368:
| 17496/15625
| 17496/15625
| 28/25
| 28/25
| 28/25
| "
| 28/25
| "
|-
|-
| 45
| 45
| 200.0
| 200.0
|  
|  
| 4096/3645
| 4096/3645
| 4096/3645
| "
| 55/49
| 55/49
| 55/49
| "
|-
|-
| 46
| 46
Line 383: Line 383:
| M2
| M2
| 9/8
| 9/8
| 9/8
| "
| 9/8
| "
| 9/8
| "
|-
|-
| 47
| 47
Line 392: Line 392:
| 200000/177147
| 200000/177147
| 640/567
| 640/567
| 640/567
| "
| 44/39
| 44/39
|-
|-
Line 401: Line 401:
| 2025/1792
| 2025/1792
| 112/99
| 112/99
| 112/99
| "
|-
|-
| 49
| 49
Line 408: Line 408:
| 177147/156250
| 177147/156250
| 245/216
| 245/216
| 245/216
| "
| 143/126
| 143/126
|-
|-
Line 415: Line 415:
|  
|  
| 256/225
| 256/225
| 256/225
| "
| 25/22
| 25/22
| 25/22
| "
|-
|-
| 51
| 51
Line 423: Line 423:
|  
|  
| 729/640
| 729/640
| 729/640
| "
| 154/135
| 154/135
| 154/135
| "
|-
|-
| 52
| 52
Line 431: Line 431:
|  
|  
| 2500/2187
| 2500/2187
| 8/7
| '''8/7'''
| 8/7
| "
| 8/7
| "
|-
|-
| 53
| 53
Line 441: Line 441:
| 3584/3125
| 3584/3125
| 55/48
| 55/48
| 55/48
| "
|-
|-
| 54
| 54
Line 448: Line 448:
| 524288/455625
| 524288/455625
| 147/128
| 147/128
| 147/128
| "
| 147/128
| "
|-
|-
| 55
| 55
Line 455: Line 455:
|  
|  
| 144/125
| 144/125
| 144/125
| "
| 121/105
| 121/105
| 121/105
| "
|-
|-
| 56
| 56
Line 472: Line 472:
| 125/108
| 125/108
| 81/70
| 81/70
| 81/70
| "
| 81/70
| "
|-
|-
| 58
| 58
Line 489: Line 489:
| 3125/2688
| 3125/2688
| 64/55
| 64/55
| 64/55
| "
|-
|-
| 60
| 60
Line 496: Line 496:
| 729/625
| 729/625
| 7/6
| 7/6
| 7/6
| "
| 7/6
| "
|-
|-
| 61
| 61
Line 505: Line 505:
| 1024/875
| 1024/875
| 90/77
| 90/77
| 90/77
| "
|-
|-
| 62
| 62
Line 511: Line 511:
|  
|  
| 75/64
| 75/64
| 75/64
| "
| 75/64
| "
| 75/64
| "
|-
|-
| 63
| 63
Line 520: Line 520:
| 625000/531441
| 625000/531441
| 147/125
| 147/125
| 147/125
| "
| 147/125
| "
|-
|-
| 64
| 64
Line 529: Line 529:
| 7168/6075
| 7168/6075
| 33/28
| 33/28
| 33/28
| "
|-
|-
| 65
| 65
Line 536: Line 536:
| 59049/50000
| 59049/50000
| 189/160
| 189/160
| 189/160
| "
| 13/11
| 13/11
|-
|-
Line 543: Line 543:
| m3
| m3
| 32/27
| 32/27
| 32/27
| "
| 32/27
| "
| 32/27
| "
|-
|-
| 67
| 67
Line 551: Line 551:
|  
|  
| 1215/1024
| 1215/1024
| 1215/1024
| "
| 196/165
| 196/165
| 108/91
| 108/91
Line 560: Line 560:
| 15625/13122
| 15625/13122
| 25/21
| 25/21
| 25/21
| "
| 25/21
| "
|-
|-
| 69
| 69
Line 569: Line 569:
| 448/375
| 448/375
| 105/88
| 105/88
| 105/88
| "
|-
|-
| 70
| 70
Line 583: Line 583:
|  
|  
| 6/5
| 6/5
| 6/5
| "
| 6/5
| "
| 6/5
| "
|-
|-
| 72
| 72
Line 600: Line 600:
| 3125/2592
| 3125/2592
| 135/112
| 135/112
| 135/112
| "
| 135/112
| "
|-
|-
| 74
| 74
Line 608: Line 608:
| 472392/390625
| 472392/390625
| 98/81
| 98/81
| 98/81
| "
| 98/81
| "
|-
|-
| 75
| 75
Line 615: Line 615:
|  
|  
| 4096/3375
| 4096/3375
| 4096/3375
| "
| 40/33
| 40/33
| 40/33
| "
|-
|-
| 76
| 76
Line 625: Line 625:
| 175/144
| 175/144
| 147/121
| 147/121
| 147/121
| "
|-
|-
| 77
| 77
Line 632: Line 632:
| 8000/6561
| 8000/6561
| 128/105
| 128/105
| 128/105
| "
| 39/32
| 39/32
|-
|-
Line 639: Line 639:
|  
|  
| 625/512
| 625/512
| 625/512
| "
| 11/9
| 11/9
| 11/9
| "
|-
|-
| 79
| 79
Line 648: Line 648:
| 1953125/1594323
| 1953125/1594323
| 49/40
| 49/40
| 49/40
| "
| 49/40
| "
|-
|-
| 80
| 80
Line 655: Line 655:
|  
|  
| 768/625
| 768/625
| 768/625
| "
| 27/22
| 27/22
| 27/22
| "
|-
|-
| 81
| 81
Line 665: Line 665:
| 315/256
| 315/256
| 154/125
| 154/125
| 16/13
| '''16/13'''
|-
|-
| 82
| 82
Line 671: Line 671:
|  
|  
| 100/81
| 100/81
| 100/81
| "
| 100/81
| "
| 100/81
| "
|-
|-
| 83
| 83
Line 689: Line 689:
| 243/196
| 243/196
| 150/121
| 150/121
| 150/121
| "
|-
|-
| 85
| 85
Line 696: Line 696:
| 3888/3125
| 3888/3125
| 56/45
| 56/45
| 56/45
| "
| 56/45
| "
|-
|-
| 86
| 86
Line 710: Line 710:
| 386.{{overline|6}}
| 386.{{overline|6}}
|  
|  
| 5/4
| '''5/4'''
| 5/4
| "
| 5/4
| "
| 5/4
| "
|-
|-
| 88
| 88
Line 729: Line 729:
| 1125/896
| 1125/896
| 44/35
| 44/35
| 44/35
| "
|-
|-
| 90
| 90
Line 736: Line 736:
| 19683/15625
| 19683/15625
| 63/50
| 63/50
| 63/50
| "
| 63/50
| "
|-
|-
| 91
| 91
Line 743: Line 743:
|  
|  
| 512/405
| 512/405
| 512/405
| "
| 125/99
| 125/99
| 91/72
| 91/72
Line 751: Line 751:
| M3
| M3
| 81/64
| 81/64
| 81/64
| "
| 81/64
| "
| 81/64
| "
|-
|-
| 93
| 93
Line 760: Line 760:
| 25000/19683
| 25000/19683
| 80/63
| 80/63
| 80/63
| "
| 33/26
| 33/26
|-
|-
Line 769: Line 769:
| 7168/5625
| 7168/5625
| 14/11
| 14/11
| 14/11
| "
|-
|-
| 95
| 95
Line 776: Line 776:
| 1048576/820125
| 1048576/820125
| 125/98
| 125/98
| 125/98
| "
| 125/98
| "
|-
|-
| 96
| 96
Line 783: Line 783:
|  
|  
| 32/25
| 32/25
| 32/25
| "
| 32/25
| "
| 32/25
| "
|-
|-
| 97
| 97
Line 800: Line 800:
| 625/486
| 625/486
| 9/7
| 9/7
| 9/7
| "
| 9/7
| "
|-
|-
| 99
| 99
Line 824: Line 824:
| 162/125
| 162/125
| 35/27
| 35/27
| 35/27
| "
| 35/27
| "
|-
|-
| 102
| 102
Line 839: Line 839:
|  
|  
| 125/96
| 125/96
| 125/96
| "
| 125/96
| "
| 125/96
| "
|-
|-
| 104
| 104
Line 848: Line 848:
| 1366875/1048576
| 1366875/1048576
| 64/49
| 64/49
| 64/49
| "
| 64/49
| "
|-
|-
| 105
| 105
Line 855: Line 855:
|  
|  
| 4096/3125
| 4096/3125
| 4096/3125
| "
| 55/42
| 55/42
| 55/42
| "
|-
|-
| 106
| 106
Line 864: Line 864:
| 6561/5000
| 6561/5000
| 21/16
| 21/16
| 21/16
| "
| 21/16
| "
|-
|-
| 107
| 107
Line 871: Line 871:
|  
|  
| 320/243
| 320/243
| 320/243
| "
| 320/243
| "
| 154/117
| 154/117
|-
|-
Line 879: Line 879:
|  
|  
| 675/512
| 675/512
| 675/512
| "
| 33/25
| 33/25
| 33/25
| "
|-
|-
| 109
| 109
Line 911: Line 911:
| P4
| P4
| 4/3
| 4/3
| 4/3
| "
| 4/3
| "
| 4/3
| "
|-
|-
| 113
| 113
Line 921: Line 921:
| 8192/6125
| 8192/6125
| 147/110
| 147/110
| 147/110
| "
|-
|-
| 114
| 114
Line 928: Line 928:
| 15625/11664
| 15625/11664
| 75/56
| 75/56
| 75/56
| "
| 75/56
| "
|-
|-
| 115
| 115
Line 937: Line 937:
| 168/125
| 168/125
| 121/90
| 121/90
| 121/90
| "
|-
|-
| 116
| 116
Line 943: Line 943:
|  
|  
| 8192/6075
| 8192/6075
| 8192/6075
| "
| 66/49
| 66/49
| 35/26
| 35/26
Line 951: Line 951:
|  
|  
| 27/20
| 27/20
| 27/20
| "
| 27/20
| "
| 27/20
| "
|-
|-
| 118
| 118
Line 960: Line 960:
| 80000/59049
| 80000/59049
| 256/189
| 256/189
| 256/189
| "
| 65/48
| 65/48
|-
|-
Line 969: Line 969:
| 1215/896
| 1215/896
| 110/81
| 110/81
| 110/81
| "
|-
|-
| 120
| 120
Line 976: Line 976:
| 531441/390625
| 531441/390625
| 49/36
| 49/36
| 49/36
| "
| 49/36
| "
|-
|-
| 121
| 121
Line 983: Line 983:
|  
|  
| 512/375
| 512/375
| 512/375
| "
| 15/11
| 15/11
| 15/11
| "
|-
|-
| 122
| 122
Line 992: Line 992:
| 2187/1600
| 2187/1600
| 175/128
| 175/128
| 175/128
| "
| 160/117
| 160/117
|-
|-
Line 1,000: Line 1,000:
| 1000/729
| 1000/729
| 48/35
| 48/35
| 48/35
| "
| 48/35
| "
|-
|-
| 124
| 124
Line 1,007: Line 1,007:
|  
|  
| 5625/4096
| 5625/4096
| 5625/4096
| "
| 11/8
| '''11/8'''
| 11/8
| "
|-
|-
| 125
| 125
Line 1,016: Line 1,016:
| 1048576/759375
| 1048576/759375
| 135/98
| 135/98
| 135/98
| "
| 91/66
| 91/66
|-
|-
Line 1,024: Line 1,024:
| 864/625
| 864/625
| 112/81
| 112/81
| 112/81
| "
| 112/81
| "
|-
|-
| 127
| 127
Line 1,039: Line 1,039:
|  
|  
| 25/18
| 25/18
| 25/18
| "
| 25/18
| "
| 25/18
| "
|-
|-
| 129
| 129
Line 1,057: Line 1,057:
| 625/448
| 625/448
| 88/63
| 88/63
| 88/63
| "
|-
|-
| 131
| 131
Line 1,064: Line 1,064:
| 4374/3125
| 4374/3125
| 7/5
| 7/5
| 7/5
| "
| 7/5
| "
|-
|-
| 132
| 132
Line 1,071: Line 1,071:
| d5
| d5
| 1024/729
| 1024/729
| 1024/729
| "
| 108/77
| 108/77
| 108/77
| "
|-
|-
| 133
| 133
Line 1,079: Line 1,079:
|  
|  
| 45/32
| 45/32
| 45/32
| "
| 45/32
| "
| 45/32
| "
|-
|-
| 134
| 134
Line 1,088: Line 1,088:
| 250000/177147
| 250000/177147
| 343/243
| 343/243
| 343/243
| "
| 55/39
| 55/39
|-
|-
Line 1,097: Line 1,097:
| 10125/7168
| 10125/7168
| 99/70
| 99/70
| 99/70
| "
|-
|-
| 136
| 136
Line 1,111: Line 1,111:
|  
|  
| 64/45
| 64/45
| 64/45
| "
| 64/45
| "
| 64/45
| "
|-
|-
| 138
| 138
Line 1,119: Line 1,119:
| A4
| A4
| 729/512
| 729/512
| 729/512
| "
| 77/54
| 77/54
| 77/54
| "
|-
|-
| 139
| 139
Line 1,128: Line 1,128:
| 3125/2187
| 3125/2187
| 10/7
| 10/7
| 10/7
| "
| 10/7
| "
|-
|-
| 140
| 140
Line 1,137: Line 1,137:
| 896/625
| 896/625
| 63/44
| 63/44
| 63/44
| "
|-
|-
| 141
| 141
Line 1,151: Line 1,151:
|  
|  
| 36/25
| 36/25
| 36/25
| "
| 36/25
| "
| 36/25
| "
|-
|-
| 143
| 143
Line 1,168: Line 1,168:
| 625/432
| 625/432
| 81/56
| 81/56
| 81/56
| "
| 81/56
| "
|-
|-
| 145
| 145
Line 1,176: Line 1,176:
| 759375/524288
| 759375/524288
| 196/135
| 196/135
| 196/135
| "
| 132/91
| 132/91
|-
|-
Line 1,183: Line 1,183:
|  
|  
| 8192/5625
| 8192/5625
| 8192/5625
| "
| 16/11
| '''16/11'''
| 16/11
| "
|-
|-
| 147
| 147
Line 1,192: Line 1,192:
| 729/500
| 729/500
| 35/24
| 35/24
| 35/24
| "
| 35/24
| "
|-
|-
| 148
| 148
Line 1,207: Line 1,207:
|  
|  
| 375/256
| 375/256
| 375/256
| "
| 22/15
| 22/15
| 22/15
| "
|-
|-
| 150
| 150
Line 1,216: Line 1,216:
| 781250/531441
| 781250/531441
| 72/49
| 72/49
| 72/49
| "
| 72/49
| "
|-
|-
| 151
| 151
Line 1,225: Line 1,225:
| 1792/1215
| 1792/1215
| 81/55
| 81/55
| 81/55
| "
|-
|-
| 152
| 152
Line 1,232: Line 1,232:
| 59049/40000
| 59049/40000
| 189/128
| 189/128
| 189/128
| "
| 65/44
| 65/44
|-
|-
Line 1,239: Line 1,239:
|  
|  
| 40/27
| 40/27
| 40/27
| "
| 40/27
| "
| 40/27
| "
|-
|-
| 154
| 154
Line 1,247: Line 1,247:
|  
|  
| 6075/4096
| 6075/4096
| 6075/4096
| "
| 49/33
| 49/33
| 49/33
| "
|-
|-
| 155
| 155
Line 1,256: Line 1,256:
| 78125/52488
| 78125/52488
| 125/84
| 125/84
| 125/84
| "
| 125/84
| "
|-
|-
| 156
| 156
Line 1,264: Line 1,264:
| 23328/15625
| 23328/15625
| 112/75
| 112/75
| 112/75
| "
| 112/75
| "
|-
|-
| 157
| 157
Line 1,279: Line 1,279:
| P5
| P5
| 3/2
| 3/2
| 3/2
| "
| 3/2
| "
| 3/2
| "
|-
|-
| 159
| 159
Line 1,305: Line 1,305:
| 189/125
| 189/125
| 121/80
| 121/80
| 121/80
| "
|-
|-
| 162
| 162
Line 1,311: Line 1,311:
|  
|  
| 1024/675
| 1024/675
| 1024/675
| "
| 50/33
| 50/33
| 50/33
| "
|-
|-
| 163
| 163
Line 1,319: Line 1,319:
|  
|  
| 243/160
| 243/160
| 243/160
| "
| 243/160
| "
| 117/77
| 117/77
|-
|-
Line 1,328: Line 1,328:
| 10000/6561
| 10000/6561
| 32/21
| 32/21
| 32/21
| "
| 32/21
| "
|-
|-
| 165
| 165
Line 1,335: Line 1,335:
|  
|  
| 3125/2048
| 3125/2048
| 3125/2048
| "
| 55/36
| 55/36
| 55/36
| "
|-
|-
| 166
| 166
Line 1,344: Line 1,344:
| 2097152/1366875
| 2097152/1366875
| 49/32
| 49/32
| 49/32
| "
| 49/32
| "
|-
|-
| 167
| 167
Line 1,351: Line 1,351:
|  
|  
| 192/125
| 192/125
| 192/125
| "
| 135/88
| 135/88
| 135/88
| "
|-
|-
| 168
| 168
Line 1,368: Line 1,368:
| 125/81
| 125/81
| 54/35
| 54/35
| 54/35
| "
| 54/35
| "
|-
|-
| 170
| 170
Line 1,392: Line 1,392:
| 972/625
| 972/625
| 14/9
| 14/9
| 14/9
| "
| 14/9
| "
|-
|-
| 173
| 173
Line 1,407: Line 1,407:
|  
|  
| 25/16
| 25/16
| 25/16
| "
| 25/16
| "
| 25/16
| "
|-
|-
| 175
| 175
Line 1,416: Line 1,416:
| 820125/524288
| 820125/524288
| 196/125
| 196/125
| 196/125
| "
| 196/125
| "
|-
|-
| 176
| 176
Line 1,425: Line 1,425:
| 5625/3584
| 5625/3584
| 11/7
| 11/7
| 11/7
| "
|-
|-
| 177
| 177
Line 1,432: Line 1,432:
| 19683/12500
| 19683/12500
| 63/40
| 63/40
| 63/40
| "
| 52/33
| 52/33
|-
|-
Line 1,439: Line 1,439:
| m6
| m6
| 128/81
| 128/81
| 128/81
| "
| 128/81
| "
| 128/81
| "
|-
|-
| 179
| 179
Line 1,447: Line 1,447:
|  
|  
| 405/256
| 405/256
| 405/256
| "
| 198/125
| 198/125
| 144/91
| 144/91
Line 1,456: Line 1,456:
| 31250/19683
| 31250/19683
| 100/63
| 100/63
| 100/63
| "
| 100/63
| "
|-
|-
| 181
| 181
Line 1,465: Line 1,465:
| 1792/1125
| 1792/1125
| 35/22
| 35/22
| 35/22
| "
|-
|-
| 182
| 182
Line 1,472: Line 1,472:
| 262144/164025
| 262144/164025
| 625/392
| 625/392
| 625/392
| "
| 351/220
| 351/220
|-
|-
Line 1,478: Line 1,478:
| 813.{{overline|3}}
| 813.{{overline|3}}
|  
|  
| 8/5
| '''8/5'''
| 8/5
| "
| 8/5
| "
| 8/5
| "
|-
|-
| 184
| 184
Line 1,487: Line 1,487:
|  
|  
| 6561/4096
| 6561/4096
| 6561/4096
| "
| 77/48
| 77/48
| 77/48
| "
|-
|-
| 185
| 185
Line 1,496: Line 1,496:
| 3125/1944
| 3125/1944
| 45/28
| 45/28
| 45/28
| "
| 45/28
| "
|-
|-
| 186
| 186
Line 1,505: Line 1,505:
| 392/243
| 392/243
| 121/75
| 121/75
| 121/75
| "
|-
|-
| 187
| 187
Line 1,519: Line 1,519:
|  
|  
| 81/50
| 81/50
| 81/50
| "
| 81/50
| "
| 81/50
| "
|-
|-
| 189
| 189
Line 1,529: Line 1,529:
| 512/315
| 512/315
| 125/77
| 125/77
| 13/8
| '''13/8'''
|-
|-
| 190
| 190
Line 1,535: Line 1,535:
|  
|  
| 625/384
| 625/384
| 625/384
| "
| 44/27
| 44/27
| 44/27
| "
|-
|-
| 191
| 191
Line 1,544: Line 1,544:
| 3188646/1953125
| 3188646/1953125
| 49/30
| 49/30
| 49/30
| "
| 49/30
| "
|-
|-
| 192
| 192
Line 1,551: Line 1,551:
|  
|  
| 1024/625
| 1024/625
| 1024/625
| "
| 18/11
| 18/11
| 18/11
| "
|-
|-
| 193
| 193
Line 1,560: Line 1,560:
| 6561/4000
| 6561/4000
| 105/64
| 105/64
| 105/64
| "
| 64/39
| 64/39
|-
|-
Line 1,569: Line 1,569:
| 288/175
| 288/175
| 242/147
| 242/147
| 242/147
| "
|-
|-
| 195
| 195
Line 1,575: Line 1,575:
|  
|  
| 3375/2048
| 3375/2048
| 3375/2048
| "
| 33/20
| 33/20
| 33/20
| "
|-
|-
| 196
| 196
Line 1,584: Line 1,584:
| 390625/236196
| 390625/236196
| 81/49
| 81/49
| 81/49
| "
| 81/49
| "
|-
|-
| 197
| 197
Line 1,592: Line 1,592:
| 5184/3125
| 5184/3125
| 224/135
| 224/135
| 224/135
| "
| 224/135
| "
|-
|-
| 198
| 198
Line 1,607: Line 1,607:
|  
|  
| 5/3
| 5/3
| 5/3
| "
| 5/3
| "
| 5/3
| "
|-
|-
| 200
| 200
Line 1,625: Line 1,625:
| 375/224
| 375/224
| 176/105
| 176/105
| 176/105
| "
|-
|-
| 202
| 202
Line 1,632: Line 1,632:
| 26244/15625
| 26244/15625
| 42/25
| 42/25
| 42/25
| "
| 42/25
| "
|-
|-
| 203
| 203
Line 1,639: Line 1,639:
|  
|  
| 2048/1215
| 2048/1215
| 2048/1215
| "
| 165/98
| 165/98
| 91/54
| 91/54
Line 1,647: Line 1,647:
| M6
| M6
| 27/16
| 27/16
| 27/16
| "
| 27/16
| "
| 27/16
| "
|-
|-
| 205
| 205
Line 1,656: Line 1,656:
| 100000/59049
| 100000/59049
| 320/189
| 320/189
| 320/189
| "
| 22/13
| 22/13
|-
|-
Line 1,665: Line 1,665:
| 6075/3584
| 6075/3584
| 56/33
| 56/33
| 56/33
| "
|-
|-
| 207
| 207
Line 1,672: Line 1,672:
| 531441/312500
| 531441/312500
| 245/144
| 245/144
| 245/144
| "
| 143/84
| 143/84
|-
|-
Line 1,679: Line 1,679:
|  
|  
| 128/75
| 128/75
| 128/75
| "
| 75/44
| 75/44
| 75/44
| "
|-
|-
| 209
| 209
Line 1,689: Line 1,689:
| 875/512
| 875/512
| 77/45
| 77/45
| 77/45
| "
|-
|-
| 210
| 210
Line 1,696: Line 1,696:
| 1250/729
| 1250/729
| 12/7
| 12/7
| 12/7
| "
| 12/7
| "
|-
|-
| 211
| 211
Line 1,705: Line 1,705:
| 5376/3125
| 5376/3125
| 55/32
| 55/32
| 55/32
| "
|-
|-
| 212
| 212
Line 1,712: Line 1,712:
| 262144/151875
| 262144/151875
| 441/256
| 441/256
| 441/256
| "
| 112/65
| 112/65
|-
|-
Line 1,721: Line 1,721:
| 140/81
| 140/81
| 121/70
| 121/70
| 121/70
| "
|-
|-
| 214
| 214
Line 1,735: Line 1,735:
|  
|  
| 125/72
| 125/72
| 125/72
| "
| 125/72
| "
| 125/72
| "
|-
|-
| 216
| 216
Line 1,744: Line 1,744:
| 455625/262144
| 455625/262144
| 256/147
| 256/147
| 256/147
| "
| 195/112
| 195/112
|-
|-
Line 1,753: Line 1,753:
| 3125/1792
| 3125/1792
| 96/55
| 96/55
| 96/55
| "
|-
|-
| 218
| 218
Line 1,759: Line 1,759:
|  
|  
| 2187/1250
| 2187/1250
| 7/4
| '''7/4'''
| 7/4
| "
| 7/4
| "
|-
|-
| 219
| 219
Line 1,767: Line 1,767:
|  
|  
| 1280/729
| 1280/729
| 1280/729
| "
| 135/77
| 135/77
| 135/77
| "
|-
|-
| 220
| 220
Line 1,775: Line 1,775:
|  
|  
| 225/128
| 225/128
| 225/128
| "
| 44/25
| 44/25
| 44/25
| "
|-
|-
| 221
| 221
Line 1,784: Line 1,784:
| 312500/177147
| 312500/177147
| 432/245
| 432/245
| 432/245
| "
| 143/81
| 143/81
|-
|-
Line 1,793: Line 1,793:
| 3584/2025
| 3584/2025
| 99/56
| 99/56
| 99/56
| "
|-
|-
| 223
| 223
Line 1,800: Line 1,800:
| 177147/100000
| 177147/100000
| 567/320
| 567/320
| 567/320
| "
| 39/22
| 39/22
|-
|-
Line 1,807: Line 1,807:
| m7
| m7
| 16/9
| 16/9
| 16/9
| "
| 16/9
| "
| 16/9
| "
|-
|-
| 225
| 225
Line 1,815: Line 1,815:
|  
|  
| 3645/2048
| 3645/2048
| 3645/2048
| "
| 98/55
| 98/55
| 98/55
| "
|-
|-
| 226
| 226
Line 1,824: Line 1,824:
| 15625/8748
| 15625/8748
| 25/14
| 25/14
| 25/14
| "
| 25/14
| "
|-
|-
| 227
| 227
Line 1,832: Line 1,832:
| 139968/78125
| 139968/78125
| 224/125
| 224/125
| 224/125
| "
| 224/125
| "
|-
|-
| 228
| 228
Line 1,847: Line 1,847:
|  
|  
| 9/5
| 9/5
| 9/5
| "
| 9/5
| "
| 9/5
| "
|-
|-
| 230
| 230
Line 1,864: Line 1,864:
| 3125/1728
| 3125/1728
| 405/224
| 405/224
| 405/224
| "
| 405/224
| "
|-
|-
| 232
| 232
Line 1,872: Line 1,872:
| 708588/390625
| 708588/390625
| 49/27
| 49/27
| 49/27
| "
| 49/27
| "
|-
|-
| 233
| 233
Line 1,879: Line 1,879:
|  
|  
| 2048/1125
| 2048/1125
| 2048/1125
| "
| 20/11
| 20/11
| 20/11
| "
|-
|-
| 234
| 234
Line 1,888: Line 1,888:
| 729/400
| 729/400
| 175/96
| 175/96
| 175/96
| "
| 175/96
| "
|-
|-
| 235
| 235
Line 1,896: Line 1,896:
| 4000/2187
| 4000/2187
| 64/35
| 64/35
| 64/35
| "
| 64/35
| "
|-
|-
| 236
| 236
Line 1,903: Line 1,903:
|  
|  
| 1875/1024
| 1875/1024
| 1875/1024
| "
| 11/6
| 11/6
| 11/6
| "
|-
|-
| 237
| 237
Line 1,912: Line 1,912:
| 1953125/1062882
| 1953125/1062882
| 90/49
| 90/49
| 90/49
| "
| 90/49
| "
|-
|-
| 238
| 238
Line 1,921: Line 1,921:
| 448/243
| 448/243
| 81/44
| 81/44
| 81/44
| "
|-
|-
| 239
| 239
Line 1,935: Line 1,935:
|  
|  
| 50/27
| 50/27
| 50/27
| "
| 50/27
| "
| 50/27
| "
|-
|-
| 241
| 241
Line 1,960: Line 1,960:
| 5832/3125
| 5832/3125
| 28/15
| 28/15
| 28/15
| "
| 28/15
| "
|-
|-
| 244
| 244
Line 1,967: Line 1,967:
|  
|  
| 4096/2187
| 4096/2187
| 4096/2187
| "
| 144/77
| 144/77
| 144/77
| "
|-
|-
| 245
| 245
Line 1,975: Line 1,975:
|  
|  
| 15/8
| 15/8
| 15/8
| "
| 15/8
| "
| 15/8
| "
|-
|-
| 246
| 246
Line 2,007: Line 2,007:
|  
|  
| 256/135
| 256/135
| 256/135
| "
| 125/66
| 125/66
| 91/48
| 91/48
Line 2,015: Line 2,015:
| M7
| M7
| 243/128
| 243/128
| 243/128
| "
| 154/81
| 154/81
| 154/81
| "
|-
|-
| 251
| 251
Line 2,024: Line 2,024:
| 12500/6561
| 12500/6561
| 40/21
| 40/21
| 40/21
| "
| 40/21
| "
|-
|-
| 252
| 252
Line 2,033: Line 2,033:
| 3584/1875
| 3584/1875
| 21/11
| 21/11
| 21/11
| "
|-
|-
| 253
| 253
Line 2,040: Line 2,040:
| 524288/273375
| 524288/273375
| 245/128
| 245/128
| 245/128
| "
| 224/117
| 224/117
|-
|-
Line 2,047: Line 2,047:
|  
|  
| 48/25
| 48/25
| 48/25
| "
| 48/25
| "
| 48/25
| "
|-
|-
| 255
| 255
Line 2,064: Line 2,064:
| 625/324
| 625/324
| 27/14
| 27/14
| 27/14
| "
| 27/14
| "
|-
|-
| 257
| 257
Line 2,081: Line 2,081:
| 3969/2048
| 3969/2048
| 64/33
| 64/33
| 64/33
| "
|-
|-
| 259
| 259
Line 2,088: Line 2,088:
| 243/125
| 243/125
| 35/18
| 35/18
| 35/18
| "
| 35/18
| "
|-
|-
| 260
| 260
Line 2,103: Line 2,103:
|  
|  
| 125/64
| 125/64
| 125/64
| "
| 88/45
| 88/45
| 88/45
| "
|-
|-
| 262
| 262
Line 2,112: Line 2,112:
| 3125000/1594323
| 3125000/1594323
| 49/25
| 49/25
| 49/25
| "
| 49/25
| "
|-
|-
| 263
| 263
Line 2,119: Line 2,119:
|  
|  
| 6144/3125
| 6144/3125
| 6144/3125
| "
| 55/28
| 55/28
| 55/28
| "
|-
|-
| 264
| 264
Line 2,128: Line 2,128:
| 19683/10000
| 19683/10000
| 63/32
| 63/32
| 63/32
| "
| 63/32
| "
|-
|-
| 265
| 265
Line 2,135: Line 2,135:
|  
|  
| 160/81
| 160/81
| 160/81
| "
| 160/81
| "
| 77/39
| 77/39
|-
|-
Line 2,143: Line 2,143:
|  
|  
| 2025/1024
| 2025/1024
| 2025/1024
| "
| 99/50
| 99/50
| 99/50
| "
|-
|-
| 267
| 267
Line 2,152: Line 2,152:
| 78125/39366
| 78125/39366
| 125/63
| 125/63
| 125/63
| "
| 125/63
| "
|-
|-
| 268
| 268
Line 2,161: Line 2,161:
| 448/225
| 448/225
| 175/88
| 175/88
| 175/88
| "
|-
|-
| 269
| 269
Line 2,174: Line 2,174:
| 1200.0
| 1200.0
| P8
| P8
| 2/1
| '''2/1'''
| 2/1
| "
| 2/1
| "
| 2/1
| "
|}
|}


[[Category:Tables of edo intervals]]
[[Category:Tables of edo intervals]]
[[Category:270edo]]
[[Category:270edo]]

Revision as of 09:33, 2 July 2024

This table of 270edo intervals assumes the 13-limit patent val of 270edo 270 428 647 758 934 999]. Prime harmonics are in bold.

Step Cents Marks 5-limit 7-limit 11-limit 13-limit
0 0.0 P1 1/1 " " "
1 4.4 32805/32768 3136/3125 385/384 325/324
2 8.8 15625/15552 225/224 176/175 169/168
3 13.3 78732/78125 126/125 121/120 "
4 17.7 2048/2025 " 99/98 91/90
5 22.2 81/80 " " 78/77
6 26.6 20000/19683 64/63 " "
7 31.1 3125/3072 " 55/54 "
8 35.5 1594323/1562500 49/48 " "
9 40.0 128/125 " 45/44 "
10 44.4 6561/6400 525/512 77/75 40/39
11 48.8 250/243 36/35 " "
12 53.3 16875/16384 4096/3969 33/32 "
13 57.7 262144/253125 405/392 125/121 91/88
14 62.2 648/625 28/27 " "
15 66.6 20480/19683 8192/7875 80/77 26/25
16 71.1 25/24 " " "
17 75.5 273375/262144 256/245 " 117/112
18 80.0 16384/15625 1875/1792 22/21 "
19 84.4 6561/6250 21/20 " "
20 88.8 m2 256/243 " 81/77 "
21 93.3 135/128 " 132/125 96/91
22 97.7 62500/59049 200/189 128/121 55/52
23 102.2 78125/73728 3584/3375 35/33 "
24 106.6 524288/492075 625/588 " 117/110
25 111.1 16/15 " " "
26 115.5 2187/2048 " 77/72 "
27 120.0 3125/2916 15/14 " "
28 124.4 140625/131072 672/625 189/176 130/121
29 128.8 32768/30375 2205/2048 264/245 14/13
30 133.3 27/25 " " "
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