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84edo: Difference between revisions

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== Intervals ==
== Intervals ==
{| class="wikitable"
{| class="wikitable center-1 right-2"
|-
|-
! #
! #
Line 26: Line 26:
|-
|-
| 0
| 0
| 0.000
| 0.0
| 1/1
| 1/1
| Perfect 1sn
| Perfect 1sn
Line 33: Line 33:
|-
|-
| 1
| 1
| 14.286
| 14.3
| ''81/80'', 105/104, 126/125, 169/168, 196/195
| ''81/80'', 105/104, 126/125, 169/168, 196/195
| Up 1sn
| Up 1sn
Line 40: Line 40:
|-
|-
| 2
| 2
| 28.571
| 28.6
| 50/49, 64/63, 65/64, ''91/90''
| 50/49, 64/63, 65/64, ''91/90''
| Dup 1sn
| Dup 1sn
Line 47: Line 47:
|-
|-
| 3
| 3
| 42.857
| 42.9
| 36/35, 40/39, 46/45, 49/48
| 36/35, 40/39, 46/45, 49/48
| Trup 1sn
| Trup 1sn
Line 54: Line 54:
|-
|-
| 4
| 4
| 57.143
| 57.1
| ''27/26''
| ''27/26''
| Trudminor 2nd
| Trudminor 2nd
Line 61: Line 61:
|-
|-
| 5
| 5
| 71.429
| 71.4
| 24/23, 25/24, 26/25, ''28/27''
| 24/23, 25/24, 26/25, ''28/27''
| Dudminor 2nd
| Dudminor 2nd
Line 68: Line 68:
|-
|-
| 6
| 6
| 85.714
| 85.7
| 20/19, 21/20
| 20/19, 21/20
| Downminor 2nd
| Downminor 2nd
Line 75: Line 75:
|-
|-
| 7
| 7
| 100.000
| 100.0
| 19/18
| 19/18
| Minor 2nd
| Minor 2nd
Line 82: Line 82:
|-
|-
| 8
| 8
| 114.286
| 114.3
| 15/14, 16/15
| 15/14, 16/15
| Upminor 2nd
| Upminor 2nd
Line 89: Line 89:
|-
|-
| 9
| 9
| 128.571
| 128.6
| 14/13
| 14/13
| Dupminor 2nd
| Dupminor 2nd
Line 96: Line 96:
|-
|-
| 10
| 10
| 142.857
| 142.9
| 13/12
| 13/12
| Trupminor 2nd
| Trupminor 2nd
Line 103: Line 103:
|-
|-
| 11
| 11
| 157.143
| 157.1
| 23/21
| 23/21
| Trudmajor 2nd
| Trudmajor 2nd
Line 110: Line 110:
|-
|-
| 12
| 12
| 171.429
| 171.4
| 21/19
| 21/19
| Dudmajor 2nd
| Dudmajor 2nd
Line 117: Line 117:
|-
|-
| 13
| 13
| 185.714
| 185.7
| 10/9
| 10/9
| Downmajor 2nd
| Downmajor 2nd
Line 124: Line 124:
|-
|-
| 14
| 14
| 200.000
| 200.0
| 9/8
| 9/8
| Major 2nd
| Major 2nd
Line 131: Line 131:
|-
|-
| 15
| 15
| 214.286
| 214.3
| 26/23
| 26/23
| Upmajor 2nd
| Upmajor 2nd
Line 138: Line 138:
|-
|-
| 16
| 16
| 228.571
| 228.6
| 8/7
| 8/7
| Dupmajor 2nd
| Dupmajor 2nd
Line 145: Line 145:
|-
|-
| 17
| 17
| 242.857
| 242.9
| 15/13, 23/20
| 15/13, 23/20
| Trupmajor 2nd
| Trupmajor 2nd
Line 152: Line 152:
|-
|-
| 18
| 18
| 257.143
| 257.1
| 52/45
| 52/45
| Trudminor 3rd
| Trudminor 3rd
Line 159: Line 159:
|-
|-
| 19
| 19
| 271.429
| 271.4
| 7/6
| 7/6
| Dudminor 3rd
| Dudminor 3rd
Line 166: Line 166:
|-
|-
| 20
| 20
| 285.714
| 285.7
| 45/38, 46/39
| 45/38, 46/39
| Downminor 3rd
| Downminor 3rd
Line 173: Line 173:
|-
|-
| 21
| 21
| 300.000
| 300.0
| 19/16, 25/21, 32/27
| 19/16, 25/21, 32/27
| Minor 3rd
| Minor 3rd
Line 180: Line 180:
|-
|-
| 22
| 22
| 314.286
| 314.3
| 6/5
| 6/5
| Upminor 3rd
| Upminor 3rd
Line 187: Line 187:
|-
|-
| 23
| 23
| 328.571
| 328.6
| 23/19
| 23/19
| Dupminor 3rd
| Dupminor 3rd
Line 194: Line 194:
|-
|-
| 24
| 24
| 342.857
| 342.9
| 28/23, 39/32
| 28/23, 39/32
| Trupminor 3rd
| Trupminor 3rd
Line 201: Line 201:
|-
|-
| 25
| 25
| 357.143
| 357.1
| 16/13
| 16/13
| Trudmajor 3rd
| Trudmajor 3rd
Line 208: Line 208:
|-
|-
| 26
| 26
| 371.429
| 371.4
| 26/21
| 26/21
| Dudmajor 3rd
| Dudmajor 3rd
Line 215: Line 215:
|-
|-
| 27
| 27
| 385.714
| 385.7
| 5/4
| 5/4
| Downmajor 3rd
| Downmajor 3rd
Line 222: Line 222:
|-
|-
| 28
| 28
| 400.000
| 400.0
| 24/19
| 24/19
| Major 3rd
| Major 3rd
Line 229: Line 229:
|-
|-
| 29
| 29
| 414.286
| 414.3
| 19/15
| 19/15
| Upmajor 3rd
| Upmajor 3rd
Line 236: Line 236:
|-
|-
| 30
| 30
| 428.571
| 428.6
| 9/7, 23/18, 32/25
| 9/7, 23/18, 32/25
| Dupmajor 3rd
| Dupmajor 3rd
Line 243: Line 243:
|-
|-
| 31
| 31
| 442.857
| 442.9
| 84/65
| 84/65
| Trupmajor 3rd
| Trupmajor 3rd
Line 250: Line 250:
|-
|-
| 32
| 32
| 457.143
| 457.1
| 13/10, 30/23
| 13/10, 30/23
| Trud 4th
| Trud 4th
Line 257: Line 257:
|-
|-
| 33
| 33
| 471.429
| 471.4
| 21/16
| 21/16
| Dud 4th
| Dud 4th
Line 264: Line 264:
|-
|-
| 34
| 34
| 485.714
| 485.7
| 65/49
| 65/49
| Down 4th
| Down 4th
Line 271: Line 271:
|-
|-
| 35
| 35
| 500.000
| 500.0
| 4/3
| 4/3
| Perfect 4th
| Perfect 4th
Line 278: Line 278:
|-
|-
| 36
| 36
| 514.286
| 514.3
| 27/20
| 27/20
| Up 4th
| Up 4th
Line 285: Line 285:
|-
|-
| 37
| 37
| 528.571
| 528.6
| 19/14
| 19/14
| Dup 4th
| Dup 4th
Line 292: Line 292:
|-
|-
| 38
| 38
| 542.857
| 542.9
| 26/19
| 26/19
| Trup 4th
| Trup 4th
Line 299: Line 299:
|-
|-
| 39
| 39
| 557.143
| 557.1
| 18/13
| 18/13
| Trudaug 4th
| Trudaug 4th
Line 306: Line 306:
|-
|-
| 40
| 40
| 571.429
| 571.4
| 25/18, 32/23
| 25/18, 32/23
| Dudaug 4th
| Dudaug 4th
Line 313: Line 313:
|-
|-
| 41
| 41
| 585.714
| 585.7
| 7/5
| 7/5
| Downaug 4th
| Downaug 4th
Line 320: Line 320:
|-
|-
| 42
| 42
| 600.000
| 600.0
| 27/19, 38/27
| 27/19, 38/27
| Aug 4th, Dim 5th
| Aug 4th, Dim 5th
Line 327: Line 327:
|-
|-
| 43
| 43
| 614.286
| 614.3
| 10/7
| 10/7
| Updim 5th
| Updim 5th
Line 334: Line 334:
|-
|-
| 44
| 44
| 628.571
| 628.6
| 23/16, 36/25
| 23/16, 36/25
| Dupdim 5th
| Dupdim 5th
Line 341: Line 341:
|-
|-
| 45
| 45
| 642.857
| 642.9
| 13/9
| 13/9
| Trupdim 5th
| Trupdim 5th
Line 348: Line 348:
|-
|-
| 46
| 46
| 657.143
| 657.1
| 19/13
| 19/13
| Trud 5th
| Trud 5th
Line 355: Line 355:
|-
|-
| 47
| 47
| 671.429
| 671.4
| 28/19
| 28/19
| Dud 5th
| Dud 5th
Line 362: Line 362:
|-
|-
| 48
| 48
| 685.714
| 685.7
| 40/27
| 40/27
| Down 5th
| Down 5th
Line 369: Line 369:
|-
|-
| 49
| 49
| 700.000
| 700.0
| 3/2
| 3/2
| Perfect 5th
| Perfect 5th
Line 376: Line 376:
|-
|-
| 50
| 50
| 714.286
| 714.3
| 98/65
| 98/65
| Up 5th
| Up 5th
Line 383: Line 383:
|-
|-
| 51
| 51
| 728.571
| 728.6
| 32/21
| 32/21
| Dup 5th
| Dup 5th
Line 390: Line 390:
|-
|-
| 52
| 52
| 742.857
| 742.9
| 20/13, 23/15
| 20/13, 23/15
| Trup 5th
| Trup 5th
Line 397: Line 397:
|-
|-
| 53
| 53
| 757.143
| 757.1
| 65/42
| 65/42
| Trudminor 6th
| Trudminor 6th
Line 404: Line 404:
|-
|-
| 54
| 54
| 771.429
| 771.4
| 14/9, 25/16, 36/23
| 14/9, 25/16, 36/23
| Dudminor 6th
| Dudminor 6th
Line 411: Line 411:
|-
|-
| 55
| 55
| 785.714
| 785.7
| 30/19
| 30/19
| Downminor 6th
| Downminor 6th
Line 418: Line 418:
|-
|-
| 56
| 56
| 800.000
| 800.0
| 19/12
| 19/12
| Minor 6th
| Minor 6th
Line 425: Line 425:
|-
|-
| 57
| 57
| 814.286
| 814.3
| 8/5
| 8/5
| Upminor 6th
| Upminor 6th
Line 432: Line 432:
|-
|-
| 58
| 58
| 828.571
| 828.6
| 21/13
| 21/13
| Dupminor 6th
| Dupminor 6th
Line 439: Line 439:
|-
|-
| 59
| 59
| 842.857
| 842.9
| 13/8
| 13/8
| Trupminor 6th
| Trupminor 6th
Line 446: Line 446:
|-
|-
| 60
| 60
| 857.143
| 857.1
| 23/14, 64/39
| 23/14, 64/39
| Trudmajor 6th
| Trudmajor 6th
Line 453: Line 453:
|-
|-
| 61
| 61
| 871.429
| 871.4
| 38/23
| 38/23
| Dudmajor 6th
| Dudmajor 6th
Line 460: Line 460:
|-
|-
| 62
| 62
| 885.714
| 885.7
| 5/3
| 5/3
| Downmajor 6th
| Downmajor 6th
Line 467: Line 467:
|-
|-
| 63
| 63
| 900.000
| 900.0
| 32/19, 27/16, 42/25
| 32/19, 27/16, 42/25
| Major 6th
| Major 6th
Line 474: Line 474:
|-
|-
| 64
| 64
| 914.286
| 914.3
| 39/23, 76/45
| 39/23, 76/45
| Upmajor 6th
| Upmajor 6th
Line 481: Line 481:
|-
|-
| 65
| 65
| 928.571
| 928.6
| 12/7
| 12/7
| Dupmajor 6th
| Dupmajor 6th
Line 488: Line 488:
|-
|-
| 66
| 66
| 942.857
| 942.9
| 45/26
| 45/26
| Trupmajor 6th
| Trupmajor 6th
Line 495: Line 495:
|-
|-
| 67
| 67
| 957.143
| 957.1
| 26/15, 40/23
| 26/15, 40/23
| Trudminor 7th
| Trudminor 7th
Line 502: Line 502:
|-
|-
| 68
| 68
| 971.429
| 971.4
| 7/4
| 7/4
| Dudminor 7th
| Dudminor 7th
Line 509: Line 509:
|-
|-
| 69
| 69
| 985.714
| 985.7
| 23/13
| 23/13
| Downminor 7th
| Downminor 7th
Line 516: Line 516:
|-
|-
| 70
| 70
| 1000.000
| 1000.0
| 16/9
| 16/9
| Minor 7th
| Minor 7th
Line 523: Line 523:
|-
|-
| 71
| 71
| 1014.286
| 1014.3
| 9/5
| 9/5
| Upminor 7th
| Upminor 7th
Line 530: Line 530:
|-
|-
| 72
| 72
| 1028.571
| 1028.6
| 38/21
| 38/21
| Dupminor 7th
| Dupminor 7th
Line 537: Line 537:
|-
|-
| 73
| 73
| 1042.857
| 1042.9
| 42/23
| 42/23
| Trupminor 7th
| Trupminor 7th
Line 544: Line 544:
|-
|-
| 74
| 74
| 1057.143
| 1057.1
| 24/13
| 24/13
| Trudmajor 7th
| Trudmajor 7th
Line 551: Line 551:
|-
|-
| 75
| 75
| 1071.429
| 1071.4
| 13/7
| 13/7
| Dudmajor 7th
| Dudmajor 7th
Line 558: Line 558:
|-
|-
| 76
| 76
| 1085.714
| 1085.7
| 15/8, 28/15
| 15/8, 28/15
| Downmajor 7th
| Downmajor 7th
Line 565: Line 565:
|-
|-
| 77
| 77
| 1100.000
| 1100.0
| 36/19
| 36/19
| Major 7th
| Major 7th
Line 572: Line 572:
|-
|-
| 78
| 78
| 1114.286
| 1114.3
| 19/10, 40/21
| 19/10, 40/21
| Upmajor 7th
| Upmajor 7th
Line 579: Line 579:
|-
|-
| 79
| 79
| 1128.571
| 1128.6
| 23/12, 25/13, ''27/14'', 48/25
| 23/12, 25/13, ''27/14'', 48/25
| Dupmajor 7th
| Dupmajor 7th
Line 586: Line 586:
|-
|-
| 80
| 80
| 1142.857
| 1142.9
| ''52/27''
| ''52/27''
| Trupmajor 7th
| Trupmajor 7th
Line 593: Line 593:
|-
|-
| 81
| 81
| 1157.143
| 1157.1
| 35/18, 39/20, 96/49
| 35/18, 39/20, 96/49
| Trud 8ve
| Trud 8ve
Line 600: Line 600:
|-
|-
| 82
| 82
| 1171.429
| 1171.4
| 45/23, 49/25, 63/32, 128/65, ''180/91''
| 45/23, 49/25, 63/32, 128/65, ''180/91''
| Dud 8ve
| Dud 8ve
Line 607: Line 607:
|-
|-
| 83
| 83
| 1185.714
| 1185.7
| 125/63, ''160/81'', 195/98, 336/169
| 125/63, ''160/81'', 195/98, 336/169
| Down 8ve
| Down 8ve
Line 614: Line 614:
|-
|-
| 84
| 84
| 1200.000
| 1200.0
| 2/1
| 2/1
| Perfect 8ve
| Perfect 8ve
Line 620: Line 620:
| D
| D
|}
|}
<nowiki />* As a 2.3.5.7.13.19.23-subgroup temperament
<nowiki/>* As a 2.3.5.7.13.19.23-subgroup temperament


== Notation ==
== Notation ==
Retrieved from "https://en.xen.wiki/w/84edo"