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Table of 270edo intervals: Difference between revisions

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31-limit interpretation, favoring the most accurate ratio on similar complexity
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This '''table of 270edo intervals''' assumes the [[23-limit]] [[patent val]] of [[270edo]] {{val| 270 428 647 758 934 999 1104 1147 1221 }}. [[Prime harmonic]]s are in '''bold'''.  
This '''table of 270edo intervals''' assumes the [[31-limit]] [[patent val]] of [[270edo]] {{val| 270 428 647 758 934 999 1104 1147 1221 1312 1338 }}. [[Prime harmonic]]s are in '''bold'''; inconsistently mapped intervals are in ''italic''. As is analysed in the main article, besides being a strong 13-limit system, 270edo can be used in the full 23-limit with a handful of inconsistencies into the 27-odd-limit, or as a no-17 no-23 31-limit system, fully consistent to the 31-odd-limit. For this reason, intervals of 17 and 23 are given in parentheses.  


{| class="wikitable center-all right-1 right-2"
{| class="wikitable center-all right-1 right-2"
Line 10: Line 10:
! 11-limit
! 11-limit
! 13-limit
! 13-limit
! Higher Limits
! 23-limit
! 31-limit
|-
|-
| 0
| 0
Line 16: Line 17:
| P1
| P1
| '''1/1'''
| '''1/1'''
| "
| "
| "
| "
| "
Line 24: Line 26:
| 4.{{overline|4}}
| 4.{{overline|4}}
|  
|  
| 32805/32768
| ''32805/32768''
| 3136/3125
| 3136/3125
| 385/384
| 385/384
| 325/324
| "
|  
| "
| "
|-
|-
| 2
| 2
Line 36: Line 39:
| 225/224
| 225/224
| 176/175
| 176/175
| 169/168
| 196/195
|  
| "
| "
|-
|-
| 3
| 3
Line 44: Line 48:
| 78732/78125
| 78732/78125
| 126/125
| 126/125
| 121/120
| "
| "
|  
| "
| "
| "
|-
|-
| 4
| 4
Line 54: Line 59:
| "
| "
| 99/98
| 99/98
| 91/90
| "
| "
| "
| "
|-
|-
Line 64: Line 70:
| "
| "
| 78/77
| 78/77
| 76/75
| "
| "
|-
|-
| 6
| 6
Line 72: Line 79:
| 64/63
| 64/63
| "
| "
| 65/64
| "
| "
| "
| "
Line 80: Line 88:
| 3125/3072
| 3125/3072
| "
| "
| 55/54
| 56/55
| "
| "
| "
| "
| ''52/51''
|-
|-
| 8
| 8
Line 91: Line 100:
| "
| "
| "
| "
| ''46/45''
| "
| "
|-
|-
| 9
| 9
Line 99: Line 109:
| "
| "
| 45/44
| 45/44
| "
| "
| "
| "
| "
Line 110: Line 121:
| 40/39
| 40/39
| 39/38
| 39/38
| "
|-
|-
| 11
| 11
Line 118: Line 130:
| "
| "
| "
| "
| 35/34
| "
| "
|-
|-
| 12
| 12
Line 127: Line 140:
| 33/32
| 33/32
| "
| "
| 34/33
| "
| '''32/31'''
|-
|-
| 13
| 13
| 57.{{overline|7}}
| 57.{{overline|7}}
|  
|  
| 262144/253125
| ''262144/253125''
| 405/392
| 405/392
| 125/121
| 125/121
| 91/88
| 91/88
| ''88/85''
| "
| 30/29
|-
|-
| 14
| 14
Line 143: Line 158:
| 648/625
| 648/625
| 28/27
| 28/27
| "
| "
| "
| "
| "
Line 154: Line 170:
| 80/77
| 80/77
| 26/25
| 26/25
| "
| "
| "
|-
|-
Line 160: Line 177:
|  
|  
| 25/24
| 25/24
| "
| "
| "
| "
| "
Line 168: Line 186:
| 75.{{overline|5}}
| 75.{{overline|5}}
|  
|  
| 273375/262144
| ''273375/262144''
| 256/245
| 256/245
| "
| "
| 117/112
| 117/112
| 23/22
| (23/22)
| "
|-
|-
| 18
| 18
Line 180: Line 199:
| 1875/1792
| 1875/1792
| 22/21
| 22/21
| "
| "
| "
| "
| "
Line 188: Line 208:
| 6561/6250
| 6561/6250
| 21/20
| 21/20
| "
| "
| "
| "
| "
Line 200: Line 221:
| "
| "
| 20/19
| 20/19
| "
|-
|-
| 21
| 21
Line 209: Line 231:
| 96/91
| 96/91
| 19/18
| 19/18
| "
|-
|-
| 22
| 22
Line 217: Line 240:
| 128/121
| 128/121
| 55/52
| 55/52
| 18/17
| (18/17)
| "
|-
|-
| 23
| 23
Line 225: Line 249:
| 3584/3375
| 3584/3375
| 35/33
| 35/33
| "
| "
| "
| "
| "
Line 231: Line 256:
| 106.{{overline|6}}
| 106.{{overline|6}}
|  
|  
| 524288/492075
| ''524288/492075''
| 625/588
| 625/588
| "
| "
| 117/110
| 117/110
| '''17/16'''
| ('''17/16''')
| 33/31
|-
|-
| 25
| 25
Line 241: Line 267:
|  
|  
| 16/15
| 16/15
| "
| "
| "
| "
| "
Line 254: Line 281:
| "
| "
| "
| "
| 31/29
|-
|-
| 27
| 27
Line 260: Line 288:
| 3125/2916
| 3125/2916
| 15/14
| 15/14
| "
| "
| "
| "
| "
Line 267: Line 296:
| 124.{{overline|4}}
| 124.{{overline|4}}
|  
|  
| 140625/131072
| ''140625/131072''
| 672/625
| 672/625
| 189/176
| 189/176
| 130/121
| 130/121
| 102/95
| (102/95)
| 29/27
|-
|-
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| 29
| 128.{{overline|8}}
| 128.{{overline|8}}
|  
|  
| 32768/30375
| ''32768/30375''
| 2205/2048
| 2205/2048
| 264/245
| 264/245
| 14/13
| 14/13
| "
| "
| "
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Line 286: Line 317:
|  
|  
| 27/25
| 27/25
| "
| "
| "
| "
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Line 298: Line 330:
| 250/231
| 250/231
| 13/12
| 13/12
| "
| "
| "
|-
|-
Line 308: Line 341:
| "
| "
| 38/35
| 38/35
| "
|-
|-
| 33
| 33
Line 316: Line 350:
| "
| "
| "
| "
| ''25/23''
| (''25/23'')
| "
|-
|-
| 34
| 34
Line 324: Line 359:
| "
| "
| 12/11
| 12/11
| "
| "
| "
| "
| "
Line 334: Line 370:
| "
| "
| "
| "
| 23/21
| (23/21)
| "
|-
|-
| 36
| 36
Line 343: Line 380:
| "
| "
| 169/154
| 169/154
| 56/51
| (56/51)
| (34/31)
|-
|-
| 37
| 37
Line 351: Line 389:
| "
| "
| 11/10
| 11/10
| "
| "
| "
| "
| "
Line 362: Line 401:
| "
| "
| "
| "
| '''32/29'''
|-
|-
| 39
| 39
Line 371: Line 411:
| "
| "
| 21/19
| 21/19
| "
|-
|-
| 40
| 40
| 177.{{overline|7}}
| 177.{{overline|7}}
|  
|  
| 65536/59049
| ''65536/59049''
| 567/512
| 567/512
| 256/231
| 256/231
| 72/65
| 72/65
| "
| "
| 31/28
|-
|-
| 41
| 41
Line 385: Line 427:
|  
|  
| 10/9
| 10/9
| "
| "
| "
| "
| "
Line 393: Line 436:
| 186.{{overline|6}}
| 186.{{overline|6}}
|  
|  
| 18225/16384
| ''18225/16384''
| 4096/3675
| 4096/3675
| 49/44
| 49/44
| 39/35
| 39/35
| "
| "
| "
|-
|-
Line 406: Line 450:
| "
| "
| "
| "
| 19/17
| (19/17)
| 29/26
|-
|-
| 44
| 44
Line 413: Line 458:
| 17496/15625
| 17496/15625
| 28/25
| 28/25
| "
| "
| "
| "
| "
Line 423: Line 469:
| "
| "
| 55/49
| 55/49
| "
| "
| "
| "
| "
Line 430: Line 477:
| M2
| M2
| 9/8
| 9/8
| "
| "
| "
| "
| "
Line 443: Line 491:
| 44/39
| 44/39
| "
| "
| 35/31
|-
|-
| 48
| 48
Line 451: Line 500:
| 112/99
| 112/99
| "
| "
| 26/23
| (26/23)
| "
|-
|-
| 49
| 49
Line 460: Line 510:
| "
| "
| 143/126
| 143/126
| 17/15
| (17/15)
| "
|-
|-
| 50
| 50
Line 468: Line 519:
| "
| "
| 25/22
| 25/22
| "
| "
| "
| "
| "
Line 479: Line 531:
| "
| "
| 57/50
| 57/50
| "
|-
|-
| 52
| 52
Line 485: Line 538:
| 2500/2187
| 2500/2187
| '''8/7'''
| '''8/7'''
| "
| "
| "
| "
| "
Line 496: Line 550:
| 55/48
| 55/48
| "
| "
| 39/34
| (39/34)
| "
|-
|-
| 54
| 54
| 240.0
| 240.0
|  
|  
| 524288/455625
| ''524288/455625''
| 147/128
| 147/128
| "
| "
| "
| "
| 23/20
| (23/20)
| 31/27
|-
|-
| 55
| 55
Line 515: Line 571:
| "
| "
| 38/33
| 38/33
| "
|-
|-
| 56
| 56
Line 523: Line 580:
| 231/200
| 231/200
| 15/13
| 15/13
| "
| "
| "
|-
|-
Line 533: Line 591:
| "
| "
| 22/19
| 22/19
| "
|-
|-
| 58
| 58
| 257.{{overline|7}}
| 257.{{overline|7}}
|  
|  
| 151875/131072
| ''151875/131072''
| 512/441
| 512/441
| 297/256
| 297/256
| 65/56
| 65/56
| "
| "
| 29/25
|-
|-
| 59
| 59
| 262.{{overline|2}}
| 262.{{overline|2}}
|  
|  
| 32768/28125
| ''32768/28125''
| 3125/2688
| 3125/2688
| 64/55
| 64/55
| "
| "
| 57/49
| 57/49
| "
|-
|-
| 60
| 60
Line 557: Line 618:
| 729/625
| 729/625
| 7/6
| 7/6
| "
| "
| "
| "
| "
Line 569: Line 631:
| "
| "
| 76/65
| 76/65
| "
|-
|-
| 62
| 62
Line 578: Line 641:
| "
| "
| "
| "
| (34/29)
|-
|-
| 63
| 63
Line 586: Line 650:
| "
| "
| "
| "
| 20/17
| (20/17)
| "
|-
|-
| 64
| 64
Line 594: Line 659:
| 7168/6075
| 7168/6075
| 33/28
| 33/28
| "
| "
| "
| "
| "
Line 604: Line 670:
| "
| "
| 13/11
| 13/11
| "
| "
| "
|-
|-
Line 610: Line 677:
| m3
| m3
| 32/27
| 32/27
| "
| "
| "
| "
| "
Line 623: Line 691:
| 108/91
| 108/91
| '''19/16'''
| '''19/16'''
| "
|-
|-
| 68
| 68
Line 629: Line 698:
| 15625/13122
| 15625/13122
| 25/21
| 25/21
| "
| "
| "
| "
| "
Line 636: Line 706:
| 306.{{overline|6}}
| 306.{{overline|6}}
|  
|  
| 78125/65536
| ''78125/65536''
| 448/375
| 448/375
| 105/88
| 105/88
| 68/57
| "
| "
| (68/57)
| 31/26
|-
|-
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| 70
| 311.{{overline|1}}
| 311.{{overline|1}}
|  
|  
| 65536/54675
| ''65536/54675''
| 1225/1024
| 1225/1024
| 176/147
| 176/147
| 140/117
| 140/117
| 91/76
| 91/76
| "
|-
|-
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| 71
Line 655: Line 727:
|  
|  
| 6/5
| 6/5
| "
| "
| "
| "
| "
Line 663: Line 736:
| 320.0
| 320.0
|  
|  
| 19683/16384
| ''19683/16384''
| 2048/1701
| 2048/1701
| 77/64
| 77/64
| 65/54
| 65/54
| "
| "
| "
|-
|-
Line 677: Line 751:
| "
| "
| 76/63
| 76/63
| 35/29
|-
|-
| 74
| 74
Line 685: Line 760:
| "
| "
| "
| "
| 23/19
| (23/19)
| 29/24
|-
|-
| 75
| 75
Line 693: Line 769:
| "
| "
| 40/33
| 40/33
| "
| "
| "
| "
| "
Line 703: Line 780:
| 147/121
| 147/121
| "
| "
| 17/14
| (17/14)
| "
|-
|-
| 77
| 77
Line 712: Line 790:
| "
| "
| 39/32
| 39/32
| 28/23
| (28/23)
| "
|-
|-
| 78
| 78
Line 720: Line 799:
| "
| "
| 11/9
| 11/9
| "
| "
| "
| "
| "
Line 731: Line 811:
| "
| "
| "
| "
| 38/31
|-
|-
| 80
| 80
Line 738: Line 819:
| "
| "
| 27/22
| 27/22
| "
| "
| "
| "
| "
Line 748: Line 830:
| 154/125
| 154/125
| '''16/13'''
| '''16/13'''
| "
| "
| "
|-
|-
Line 757: Line 840:
| "
| "
| "
| "
| 21/17
| (21/17)
| "
|-
|-
| 83
| 83
Line 766: Line 850:
| 99/80
| 99/80
| 26/21
| 26/21
| "
| "
| "
|-
|-
Line 775: Line 860:
| 150/121
| 150/121
| "
| "
| 57/46
| (57/46)
| 31/25
|-
|-
| 85
| 85
Line 782: Line 868:
| 3888/3125
| 3888/3125
| 56/45
| 56/45
| "
| "
| "
| "
| "
Line 793: Line 880:
| 96/77
| 96/77
| 81/65
| 81/65
| "
| "
| "
|-
|-
Line 799: Line 887:
|  
|  
| '''5/4'''
| '''5/4'''
| "
| "
| "
| "
| "
Line 807: Line 896:
| 391.{{overline|1}}
| 391.{{overline|1}}
|  
|  
| 164025/131072
| ''164025/131072''
| 784/625
| 784/625
| 441/352
| 441/352
| 351/280
| 351/280
| 64/51
| (64/51)
| "
|-
|-
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| 89
Line 819: Line 909:
| 1125/896
| 1125/896
| 44/35
| 44/35
| "
| "
| "
| "
| "
Line 829: Line 920:
| "
| "
| "
| "
| 34/27
| (34/27)
| 39/31
|-
|-
| 91
| 91
Line 839: Line 931:
| 91/72
| 91/72
| 24/19
| 24/19
| "
|-
|-
| 92
| 92
Line 848: Line 941:
| "
| "
| 19/15
| 19/15
| "
|-
|-
| 93
| 93
Line 856: Line 950:
| "
| "
| 33/26
| 33/26
| "
| "
| "
|-
|-
Line 864: Line 959:
| 7168/5625
| 7168/5625
| 14/11
| 14/11
| "
| "
| "
| "
| "
Line 870: Line 966:
| 422.{{overline|2}}
| 422.{{overline|2}}
|  
|  
| 1048576/820125
| ''1048576/820125''
| 125/98
| 125/98
| "
| "
| "
| "
| 23/18
| (23/18)
| "
|-
|-
| 96
| 96
Line 880: Line 977:
|  
|  
| 32/25
| 32/25
| "
| "
| "
| "
| "
Line 892: Line 990:
| 77/60
| 77/60
| 50/39
| 50/39
| "
| "
| "
|-
|-
Line 899: Line 998:
| 625/486
| 625/486
| 9/7
| 9/7
| "
| "
| "
| "
| "
Line 906: Line 1,006:
| 440.0
| 440.0
|  
|  
| 84375/65536
| ''84375/65536''
| 1568/1215
| 1568/1215
| 165/128
| 165/128
| 156/121
| 156/121
| 49/38
| 49/38
| 40/31
|-
|-
| 100
| 100
| 444.{{overline|4}}
| 444.{{overline|4}}
|  
|  
| 65536/50625
| ''65536/50625''
| 1323/1024
| 1323/1024
| 128/99
| 128/99
| 84/65
| 84/65
| 22/17
| (22/17)
| 31/24
|-
|-
| 101
| 101
Line 926: Line 1,028:
| 162/125
| 162/125
| 35/27
| 35/27
| "
| "
| "
| "
| "
Line 937: Line 1,040:
| 100/77
| 100/77
| 13/10
| 13/10
| "
| "
| "
|-
|-
Line 947: Line 1,051:
| "
| "
| 99/76
| 99/76
| "
|-
|-
| 104
| 104
| 462.{{overline|2}}
| 462.{{overline|2}}
|  
|  
| 1366875/1048576
| ''1366875/1048576''
| 64/49
| 64/49
| "
| "
| "
| "
| ''30/23''
| (''30/23'')
| "
|-
|-
| 105
| 105
Line 964: Line 1,070:
| 55/42
| 55/42
| "
| "
| ''17/13''
| (''17/13'')
| 38/29
|-
|-
| 106
| 106
Line 971: Line 1,078:
| 6561/5000
| 6561/5000
| 21/16
| 21/16
| "
| "
| "
| "
| "
Line 983: Line 1,091:
| 154/117
| 154/117
| 25/19
| 25/19
| "
|-
|-
| 108
| 108
Line 992: Line 1,101:
| "
| "
| "
| "
| 29/22
|-
|-
| 109
| 109
Line 1,000: Line 1,110:
| 160/121
| 160/121
| 143/108
| 143/108
| 45/34
| (45/34)
| "
|-
|-
| 110
| 110
Line 1,009: Line 1,120:
| 175/132
| 175/132
| 65/49
| 65/49
| "
| "
| "
|-
|-
Line 1,014: Line 1,126:
| 493.{{overline|3}}
| 493.{{overline|3}}
|  
|  
| 131072/98415
| ''131072/98415''
| 1701/1280
| 1701/1280
| 512/385
| 512/385
| 117/88
| 117/88
| 85/64
| (85/64)
| "
|-
|-
| 112
| 112
Line 1,024: Line 1,137:
| P4
| P4
| 4/3
| 4/3
| "
| "
| "
| "
| "
Line 1,032: Line 1,146:
| 502.{{overline|2}}
| 502.{{overline|2}}
|  
|  
| 10935/8192
| ''10935/8192''
| 8192/6125
| 8192/6125
| 147/110
| 147/110
| "
| "
| 91/68
| (91/68)
| "
|-
|-
| 114
| 114
Line 1,043: Line 1,158:
| 15625/11664
| 15625/11664
| 75/56
| 75/56
| "
| "
| "
| "
| "
Line 1,054: Line 1,170:
| 121/90
| 121/90
| "
| "
| 51/38
| (51/38)
| 39/29
|-
|-
| 116
| 116
Line 1,063: Line 1,180:
| 66/49
| 66/49
| 35/26
| 35/26
| "
| "
| "
|-
|-
Line 1,072: Line 1,190:
| "
| "
| "
| "
| ''23/17''
| (''23/17'')
| "
|-
|-
| 118
| 118
Line 1,082: Line 1,201:
| 65/48
| 65/48
| "
| "
| 42/31
|-
|-
| 119
| 119
Line 1,091: Line 1,211:
| "
| "
| 19/14
| 19/14
| "
|-
|-
| 120
| 120
Line 1,099: Line 1,220:
| "
| "
| "
| "
| 34/25
| (34/25)
| "
|-
|-
| 121
| 121
Line 1,107: Line 1,229:
| "
| "
| 15/11
| 15/11
| "
| "
| "
| "
| "
Line 1,118: Line 1,241:
| 160/117
| 160/117
| 26/19
| 26/19
| "
|-
|-
| 123
| 123
Line 1,124: Line 1,248:
| 1000/729
| 1000/729
| 48/35
| 48/35
| "
| "
| "
| "
| "
Line 1,134: Line 1,259:
| "
| "
| '''11/8'''
| '''11/8'''
| "
| "
| "
| "
| "
Line 1,140: Line 1,266:
| 555.{{overline|5}}
| 555.{{overline|5}}
|  
|  
| 1048576/759375
| ''1048576/759375''
| 135/98
| 135/98
| "
| "
| 91/66
| 91/66
| 69/50
| (69/50)
| 40/29
|-
|-
| 126
| 126
Line 1,154: Line 1,281:
| "
| "
| 105/76
| 105/76
| 29/21
|-
|-
| 127
| 127
| 564.{{overline|4}}
| 564.{{overline|4}}
|  
|  
| 81920/59049
| ''81920/59049''
| 2835/2048
| 2835/2048
| 320/231
| 320/231
| 18/13
| 18/13
| "
| "
| "
|-
|-
Line 1,168: Line 1,297:
|  
|  
| 25/18
| 25/18
| "
| "
| "
| "
| "
Line 1,176: Line 1,306:
| 573.{{overline|3}}
| 573.{{overline|3}}
|  
|  
| 91125/65536
| ''91125/65536''
| 1024/735
| 1024/735
| 245/176
| 245/176
| 39/28
| 39/28
| '''32/23'''
| ('''32/23''')
| "
|-
|-
| 130
| 130
| 577.{{overline|7}}
| 577.{{overline|7}}
|  
|  
| 65536/46875
| ''65536/46875''
| 625/448
| 625/448
| 88/63
| 88/63
| "
| "
| "
| "
| "
Line 1,196: Line 1,328:
| 4374/3125
| 4374/3125
| 7/5
| 7/5
| "
| "
| "
| "
| "
Line 1,208: Line 1,341:
| "
| "
| 80/57
| 80/57
| "
|-
|-
| 133
| 133
Line 1,217: Line 1,351:
| "
| "
| 38/27
| 38/27
| "
|-
|-
| 134
| 134
Line 1,225: Line 1,360:
| "
| "
| 55/39
| 55/39
| 24/17
| (24/17)
| 31/22
|-
|-
| 135
| 135
Line 1,233: Line 1,369:
| 10125/7168
| 10125/7168
| 99/70
| 99/70
| "
| "
| "
| "
| "
Line 1,243: Line 1,380:
| 343/242
| 343/242
| 78/55
| 78/55
| 17/12
| (17/12)
| 44/31
|-
|-
| 137
| 137
Line 1,253: Line 1,391:
| "
| "
| 27/19
| 27/19
| "
|-
|-
| 138
| 138
Line 1,262: Line 1,401:
| "
| "
| 57/40
| 57/40
| "
|-
|-
| 139
| 139
Line 1,268: Line 1,408:
| 3125/2187
| 3125/2187
| 10/7
| 10/7
| "
| "
| "
| "
| "
Line 1,275: Line 1,416:
| 622.{{overline|2}}
| 622.{{overline|2}}
|  
|  
| 46875/32768
| ''46875/32768''
| 896/625
| 896/625
| 63/44
| 63/44
| "
| "
| "
| "
| "
Line 1,284: Line 1,426:
| 626.{{overline|6}}
| 626.{{overline|6}}
|  
|  
| 131072/91125
| ''131072/91125''
| 735/512
| 735/512
| 352/245
| 352/245
| 56/39
| 56/39
| '''23/16'''
| ('''23/16''')
| "
|-
|-
| 142
| 142
Line 1,294: Line 1,437:
|  
|  
| 36/25
| 36/25
| "
| "
| "
| "
| "
Line 1,302: Line 1,446:
| 635.{{overline|5}}
| 635.{{overline|5}}
|  
|  
| 59049/40960
| ''59049/40960''
| 4096/2835
| 4096/2835
| 231/160
| 231/160
| 13/9
| 13/9
| "
| "
| "
|-
|-
Line 1,316: Line 1,461:
| "
| "
| "
| "
| 42/29
|-
|-
| 145
| 145
| 644.{{overline|4}}
| 644.{{overline|4}}
|  
|  
| 759375/524288
| ''759375/524288''
| 196/135
| 196/135
| "
| "
| 132/91
| 132/91
| 100/69
| (100/69)
| 29/20
|-
|-
| 146
| 146
Line 1,332: Line 1,479:
| "
| "
| '''16/11'''
| '''16/11'''
| "
| "
| "
| "
| "
Line 1,340: Line 1,488:
| 729/500
| 729/500
| 35/24
| 35/24
| "
| "
| "
| "
| "
Line 1,352: Line 1,501:
| 117/80
| 117/80
| 19/13
| 19/13
| "
|-
|-
| 149
| 149
Line 1,359: Line 1,509:
| "
| "
| 22/15
| 22/15
| "
| "
| "
| "
| "
Line 1,369: Line 1,520:
| "
| "
| "
| "
| 25/17
| (25/17)
| "
|-
|-
| 151
| 151
Line 1,379: Line 1,531:
| "
| "
| 28/19
| 28/19
| "
|-
|-
| 152
| 152
Line 1,388: Line 1,541:
| 65/44
| 65/44
| "
| "
| 31/21
|-
|-
| 153
| 153
Line 1,396: Line 1,550:
| "
| "
| "
| "
| ''34/23''
| (''34/23'')
| "
|-
|-
| 154
| 154
Line 1,404: Line 1,559:
| "
| "
| 49/33
| 49/33
| "
| "
| "
| "
| "
Line 1,414: Line 1,570:
| "
| "
| "
| "
| 76/51
| (76/51)
| 58/39
|-
|-
| 156
| 156
Line 1,423: Line 1,580:
| "
| "
| "
| "
| 85/57
| (85/57)
| "
|-
|-
| 157
| 157
| 697.{{overline|7}}
| 697.{{overline|7}}
|  
|  
| 16384/10935
| ''16384/10935''
| 6125/4096
| 6125/4096
| 220/147
| 220/147
| 175/117
| 175/117
| 136/91
| (136/91)
| "
|-
|-
| 158
| 158
Line 1,438: Line 1,597:
| P5
| P5
| 3/2
| 3/2
| "
| "
| "
| "
| "
Line 1,446: Line 1,606:
| 706.{{overline|6}}
| 706.{{overline|6}}
|  
|  
| 98415/65536
| ''98415/65536''
| 2560/1701
| 2560/1701
| 385/256
| 385/256
| 176/117
| 176/117
| 128/85
| (128/85)
| "
|-
|-
| 160
| 160
Line 1,460: Line 1,621:
| 98/65
| 98/65
| 95/63
| 95/63
| "
|-
|-
| 161
| 161
Line 1,468: Line 1,630:
| 121/80
| 121/80
| "
| "
| 68/45
| (68/45)
| "
|-
|-
| 162
| 162
Line 1,478: Line 1,641:
| "
| "
| "
| "
| 44/29
|-
|-
| 163
| 163
Line 1,487: Line 1,651:
| 117/77
| 117/77
| 38/25
| 38/25
| "
|-
|-
| 164
| 164
Line 1,493: Line 1,658:
| 10000/6561
| 10000/6561
| 32/21
| 32/21
| "
| "
| "
| "
| "
Line 1,504: Line 1,670:
| 55/36
| 55/36
| "
| "
| ''26/17''
| (''26/17'')
| 29/19
|-
|-
| 166
| 166
| 737.{{overline|7}}
| 737.{{overline|7}}
|  
|  
| 2097152/1366875
| ''2097152/1366875''
| 49/32
| 49/32
| "
| "
| "
| "
| ''23/15''
| (''23/15'')
| "
|-
|-
| 167
| 167
Line 1,521: Line 1,689:
| "
| "
| 135/88
| 135/88
| "
| "
| "
| "
| "
Line 1,531: Line 1,700:
| 77/50
| 77/50
| 20/13
| 20/13
| "
| "
| "
|-
|-
Line 1,538: Line 1,708:
| 125/81
| 125/81
| 54/35
| 54/35
| "
| "
| "
| "
| "
Line 1,545: Line 1,716:
| 755.{{overline|5}}
| 755.{{overline|5}}
|  
|  
| 50625/32768
| ''50625/32768''
| 2048/1323
| 2048/1323
| 99/64
| 99/64
| 65/42
| 65/42
| 17/11
| (17/11)
| 48/31
|-
|-
| 171
| 171
| 760.0
| 760.0
|  
|  
| 131072/84375
| ''131072/84375''
| 1215/784
| 1215/784
| 256/165
| 256/165
| 121/78
| 121/78
| 76/49
| 76/49
| 31/20
|-
|-
| 172
| 172
Line 1,565: Line 1,738:
| 972/625
| 972/625
| 14/9
| 14/9
| "
| "
| "
| "
| "
Line 1,576: Line 1,750:
| 120/77
| 120/77
| 39/25
| 39/25
| "
| "
| "
|-
|-
Line 1,582: Line 1,757:
|  
|  
| 25/16
| 25/16
| "
| "
| "
| "
| "
Line 1,590: Line 1,766:
| 777.{{overline|7}}
| 777.{{overline|7}}
|  
|  
| 820125/524288
| ''820125/524288''
| 196/125
| 196/125
| "
| "
| "
| "
| 36/23
| (36/23)
| "
|-
|-
| 176
| 176
Line 1,602: Line 1,779:
| 5625/3584
| 5625/3584
| 11/7
| 11/7
| "
| "
| "
| "
| "
Line 1,612: Line 1,790:
| "
| "
| 52/33
| 52/33
| "
| "
| "
|-
|-
Line 1,622: Line 1,801:
| "
| "
| 30/19
| 30/19
| "
|-
|-
| 179
| 179
Line 1,631: Line 1,811:
| 144/91
| 144/91
| 19/12
| 19/12
| "
|-
|-
| 180
| 180
Line 1,639: Line 1,820:
| "
| "
| "
| "
| 27/17
| (27/17)
| 62/39
|-
|-
| 181
| 181
Line 1,647: Line 1,829:
| 1792/1125
| 1792/1125
| 35/22
| 35/22
| "
| "
| "
| "
| "
Line 1,653: Line 1,836:
| 808.{{overline|8}}
| 808.{{overline|8}}
|  
|  
| 262144/164025
| ''262144/164025''
| 625/392
| 625/392
| "
| "
| 351/220
| 351/220
| 51/32
| (51/32)
| "
|-
|-
| 183
| 183
Line 1,663: Line 1,847:
|  
|  
| '''8/5'''
| '''8/5'''
| "
| "
| "
| "
| "
Line 1,674: Line 1,859:
| "
| "
| 77/48
| 77/48
| "
| "
| "
| "
| "
Line 1,682: Line 1,868:
| 3125/1944
| 3125/1944
| 45/28
| 45/28
| "
| "
| "
| "
| "
Line 1,693: Line 1,880:
| 121/75
| 121/75
| "
| "
| 92/57
| (92/57)
| 29/18
|-
|-
| 187
| 187
Line 1,702: Line 1,890:
| 160/99
| 160/99
| 21/13
| 21/13
| "
| "
| "
|-
|-
Line 1,711: Line 1,900:
| "
| "
| "
| "
| 34/21
| (34/21)
| "
|-
|-
| 189
| 189
Line 1,720: Line 1,910:
| 125/77
| 125/77
| '''13/8'''
| '''13/8'''
| "
| "
| "
|-
|-
Line 1,728: Line 1,919:
| "
| "
| 44/27
| 44/27
| "
| "
| "
| "
| "
Line 1,739: Line 1,931:
| "
| "
| "
| "
| 31/19
|-
|-
| 192
| 192
Line 1,746: Line 1,939:
| "
| "
| 18/11
| 18/11
| "
| "
| "
| "
| "
Line 1,756: Line 1,950:
| "
| "
| 64/39
| 64/39
| 23/14
| (23/14)
| "
|-
|-
| 194
| 194
Line 1,765: Line 1,960:
| 242/147
| 242/147
| "
| "
| 28/17
| (28/17)
| "
|-
|-
| 195
| 195
Line 1,773: Line 1,969:
| "
| "
| 33/20
| 33/20
| "
| "
| "
| "
| "
Line 1,783: Line 1,980:
| "
| "
| "
| "
| 38/23
| (38/23)
| 48/29
|-
|-
| 197
| 197
Line 1,793: Line 1,991:
| "
| "
| 63/38
| 63/38
| 58/35
|-
|-
| 198
| 198
| 880.0
| 880.0
|  
|  
| 32768/19683
| ''32768/19683''
| 1701/1024
| 1701/1024
| 128/77
| 128/77
| 108/65
| 108/65
| "
| "
| "
|-
|-
Line 1,807: Line 2,007:
|  
|  
| 5/3
| 5/3
| "
| "
| "
| "
| "
Line 1,815: Line 2,016:
| 888.{{overline|8}}
| 888.{{overline|8}}
|  
|  
| 54675/32768
| ''54675/32768''
| 2048/1225
| 2048/1225
| 147/88
| 147/88
| 117/70
| 117/70
| "
| "
| "
|-
|-
Line 1,829: Line 2,031:
| 57/34
| 57/34
| "
| "
| 52/31
|-
|-
| 202
| 202
Line 1,835: Line 2,038:
| 26244/15625
| 26244/15625
| 42/25
| 42/25
| "
| "
| "
| "
| "
Line 1,847: Line 2,051:
| 91/54
| 91/54
| '''32/19'''
| '''32/19'''
| "
|-
|-
| 204
| 204
Line 1,852: Line 2,057:
| M6
| M6
| 27/16
| 27/16
| "
| "
| "
| "
| "
Line 1,864: Line 2,070:
| "
| "
| 22/13
| 22/13
| "
| "
| "
|-
|-
Line 1,873: Line 2,080:
| 56/33
| 56/33
| "
| "
| 39/23
| (39/23)
| "
|-
|-
| 207
| 207
Line 1,882: Line 2,090:
| "
| "
| 143/84
| 143/84
| 17/10
| (17/10)
| "
|-
|-
| 208
| 208
Line 1,892: Line 2,101:
| "
| "
| "
| "
| (29/17)
|-
|-
| 209
| 209
Line 1,901: Line 2,111:
| "
| "
| 65/38
| 65/38
| "
|-
|-
| 210
| 210
Line 1,907: Line 2,118:
| 1250/729
| 1250/729
| 12/7
| 12/7
| "
| "
| "
| "
| "
Line 1,914: Line 2,126:
| 937.{{overline|7}}
| 937.{{overline|7}}
|  
|  
| 28125/16384
| ''28125/16384''
| 5376/3125
| 5376/3125
| 55/32
| 55/32
| "
| "
| "
| "
| "
Line 1,923: Line 2,136:
| 942.{{overline|2}}
| 942.{{overline|2}}
|  
|  
| 262144/151875
| ''262144/151875''
| 441/256
| 441/256
| "
| "
| 112/65
| 112/65
| 69/40
| (69/40)
| 31/18
|-
|-
| 213
| 213
Line 1,937: Line 2,151:
| "
| "
| 19/11
| 19/11
| "
|-
|-
| 214
| 214
Line 1,945: Line 2,160:
| 343/198
| 343/198
| 26/15
| 26/15
| "
| "
| "
|-
|-
Line 1,955: Line 2,171:
| "
| "
| 33/19
| 33/19
| "
|-
|-
| 216
| 216
| 960.0
| 960.0
|  
|  
| 455625/262144
| ''455625/262144''
| 256/147
| 256/147
| "
| "
| 195/112
| 195/112
| 40/23
| (40/23)
| 54/31
|-
|-
| 217
| 217
Line 1,972: Line 2,190:
| 96/55
| 96/55
| "
| "
| 68/39
| (68/39)
| "
|-
|-
| 218
| 218
Line 1,979: Line 2,198:
| 2187/1250
| 2187/1250
| '''7/4'''
| '''7/4'''
| "
| "
| "
| "
| "
Line 1,991: Line 2,211:
| "
| "
| 100/57
| 100/57
| "
|-
|-
| 220
| 220
Line 1,998: Line 2,219:
| "
| "
| 44/25
| 44/25
| "
| "
| "
| "
| "
Line 2,008: Line 2,230:
| "
| "
| 143/81
| 143/81
| 30/17
| (30/17)
| "
|-
|-
| 222
| 222
Line 2,017: Line 2,240:
| 99/56
| 99/56
| "
| "
| 23/13
| (23/13)
| "
|-
|-
| 223
| 223
Line 2,026: Line 2,250:
| "
| "
| 39/22
| 39/22
| "
| "
| "
|-
|-
Line 2,032: Line 2,257:
| m7
| m7
| 16/9
| 16/9
| "
| "
| "
| "
| "
Line 2,045: Line 2,271:
| "
| "
| 57/32
| 57/32
| "
|-
|-
| 226
| 226
Line 2,051: Line 2,278:
| 15625/8748
| 15625/8748
| 25/14
| 25/14
| "
| "
| "
| "
| "
Line 2,062: Line 2,290:
| "
| "
| "
| "
| 34/19
| (34/19)
| 52/29
|-
|-
| 228
| 228
| 1013.{{overline|3}}
| 1013.{{overline|3}}
|  
|  
| 32768/18225
| ''32768/18225''
| 3675/2048
| 3675/2048
| 88/49
| 88/49
| 70/39
| 70/39
| "
| "
| "
|-
|-
Line 2,077: Line 2,307:
|  
|  
| 9/5
| 9/5
| "
| "
| "
| "
| "
Line 2,085: Line 2,316:
| 1022.{{overline|2}}
| 1022.{{overline|2}}
|  
|  
| 59049/32768
| ''59049/32768''
| 1024/567
| 1024/567
| 231/128
| 231/128
| 65/36
| 65/36
| "
| "
| 56/31
|-
|-
| 231
| 231
Line 2,099: Line 2,331:
| "
| "
| 38/21
| 38/21
| "
|-
|-
| 232
| 232
Line 2,108: Line 2,341:
| "
| "
| "
| "
| '''29/16'''
|-
|-
| 233
| 233
Line 2,115: Line 2,349:
| "
| "
| 20/11
| 20/11
| "
| "
| "
| "
| "
Line 2,125: Line 2,360:
| "
| "
| "
| "
| 51/28
| (51/28)
| (31/17)
|-
|-
| 235
| 235
Line 2,134: Line 2,370:
| "
| "
| "
| "
| 42/23
| (42/23)
| "
|-
|-
| 236
| 236
Line 2,142: Line 2,379:
| "
| "
| 11/6
| 11/6
| "
| "
| "
| "
| "
Line 2,152: Line 2,390:
| "
| "
| "
| "
| ''46/25''
| (''46/25'')
| "
|-
|-
| 238
| 238
Line 2,162: Line 2,401:
| "
| "
| 35/19
| 35/19
| "
|-
|-
| 239
| 239
Line 2,170: Line 2,410:
| 231/125
| 231/125
| 24/13
| 24/13
| "
| "
| "
|-
|-
Line 2,176: Line 2,417:
|  
|  
| 50/27
| 50/27
| "
| "
| "
| "
| "
Line 2,184: Line 2,426:
| 1071.{{overline|1}}
| 1071.{{overline|1}}
|  
|  
| 30375/16384
| ''30375/16384''
| 4096/2205
| 4096/2205
| 245/132
| 245/132
| 13/7
| 13/7
| "
| "
| "
|-
|-
Line 2,193: Line 2,436:
| 1075.{{overline|5}}
| 1075.{{overline|5}}
|  
|  
| 262144/140625
| ''262144/140625''
| 625/336
| 625/336
| 225/121
| 225/121
| 121/65
| 121/65
| 95/51
| (95/51)
| 54/29
|-
|-
| 243
| 243
Line 2,204: Line 2,448:
| 5832/3125
| 5832/3125
| 28/15
| 28/15
| "
| "
| "
| "
| "
Line 2,216: Line 2,461:
| "
| "
| "
| "
| 58/31
|-
|-
| 245
| 245
Line 2,221: Line 2,467:
|  
|  
| 15/8
| 15/8
| "
| "
| "
| "
| "
Line 2,229: Line 2,476:
| 1093.{{overline|3}}
| 1093.{{overline|3}}
|  
|  
| 492075/262144
| ''492075/262144''
| 1176/625
| 1176/625
| 847/450
| 847/450
| 220/117
| 220/117
| '''32/17'''
| ('''32/17''')
| 62/33
|-
|-
| 247
| 247
Line 2,242: Line 2,490:
| 66/35
| 66/35
| 49/26
| 49/26
| "
| "
| "
|-
|-
Line 2,251: Line 2,500:
| 121/64
| 121/64
| 104/55
| 104/55
| 17/9
| (17/9)
| "
|-
|-
| 249
| 249
Line 2,261: Line 2,511:
| 91/48
| 91/48
| 36/19
| 36/19
| "
|-
|-
| 250
| 250
Line 2,270: Line 2,521:
| "
| "
| 19/10
| 19/10
| "
|-
|-
| 251
| 251
Line 2,276: Line 2,528:
| 12500/6561
| 12500/6561
| 40/21
| 40/21
| "
| "
| "
| "
| "
Line 2,286: Line 2,539:
| 3584/1875
| 3584/1875
| 21/11
| 21/11
| "
| "
| "
| "
| "
Line 2,292: Line 2,546:
| 1124.{{overline|4}}
| 1124.{{overline|4}}
|  
|  
| 524288/273375
| ''524288/273375''
| 245/128
| 245/128
| "
| "
| 224/117
| 224/117
| 23/12
| (23/12)
| "
|-
|-
| 254
| 254
Line 2,302: Line 2,557:
|  
|  
| 48/25
| 48/25
| "
| "
| "
| "
| "
Line 2,314: Line 2,570:
| 77/40
| 77/40
| 25/13
| 25/13
| "
| "
| "
|-
|-
Line 2,321: Line 2,578:
| 625/324
| 625/324
| 27/14
| 27/14
| "
| "
| "
| "
| "
Line 2,328: Line 2,586:
| 1142.{{overline|2}}
| 1142.{{overline|2}}
|  
|  
| 253125/131072
| ''253125/131072''
| 784/405
| 784/405
| 242/125
| 242/125
| 176/91
| 176/91
| ''85/44''
| (''85/44'')
| 29/15
|-
|-
| 258
| 258
Line 2,341: Line 2,600:
| 64/33
| 64/33
| "
| "
| 33/17
| (33/17)
| '''31/16'''
|-
|-
| 259
| 259
Line 2,348: Line 2,608:
| 243/125
| 243/125
| 35/18
| 35/18
| "
| "
| "
| "
| "
Line 2,359: Line 2,620:
| 150/77
| 150/77
| 39/20
| 39/20
| "
| "
| "
|-
|-
Line 2,367: Line 2,629:
| "
| "
| 88/45
| 88/45
| "
| "
| "
| "
| "
Line 2,377: Line 2,640:
| "
| "
| "
| "
| ''45/23''
| (''45/23'')
| "
|-
|-
| 263
| 263
Line 2,386: Line 2,650:
| 55/28
| 55/28
| "
| "
| ''51/26''
| (''51/26'')
| "
|-
|-
| 264
| 264
Line 2,393: Line 2,658:
| 19683/10000
| 19683/10000
| 63/32
| 63/32
| "
| "
| "
| "
| "
Line 2,405: Line 2,671:
| 77/39
| 77/39
| 75/38
| 75/38
| "
|-
|-
| 266
| 266
Line 2,413: Line 2,680:
| 99/50
| 99/50
| "
| "
| 91/46
| (91/46)
| 87/44
|-
|-
| 267
| 267
Line 2,422: Line 2,690:
| "
| "
| "
| "
|  
| "
| "
|-
|-
| 268
| 268
Line 2,431: Line 2,700:
| 175/88
| 175/88
| "
| "
|  
| "
| "
|-
|-
| 269
| 269
| 1195.{{overline|5}}
| 1195.{{overline|5}}
|  
|  
| 65536/32805
| ''65536/32805''
| 3125/1568
| 3125/1568
| 768/385
| 768/385
| 648/325
| 648/325
|  
| (''255/128'')
| "
|-
|-
| 270
| 270
Line 2,446: Line 2,717:
| P8
| P8
| '''2/1'''
| '''2/1'''
| "
| "
| "
| "
| "
Retrieved from "https://en.xen.wiki/w/Table_of_270edo_intervals"