84edo: Difference between revisions
→Regular temperament properties: cleanup |
→Interval table: +some basic ratios |
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| Line 20: | Line 20: | ||
! # | ! # | ||
! Cents | ! Cents | ||
! Approximate Ratios | ! Approximate Ratios* | ||
! colspan="3" | [[Ups and Downs Notation]] | ! colspan="3" | [[Ups and Downs Notation]] | ||
! colspan="3" | [[4L 5s|4L 5s Notation]] | ! colspan="3" | [[4L 5s|4L 5s Notation]] | ||
| Line 36: | Line 36: | ||
| 1 | | 1 | ||
| 14.286 | | 14.286 | ||
| | | ''81/80'', 126/125 | ||
| Up 1sn | | Up 1sn | ||
| ^1 | | ^1 | ||
| Line 46: | Line 46: | ||
| 2 | | 2 | ||
| 28.571 | | 28.571 | ||
| | | 50/49, 64/63 | ||
| Dup 1sn | | Dup 1sn | ||
| ^^1 | | ^^1 | ||
| Line 56: | Line 56: | ||
| 3 | | 3 | ||
| 42.857 | | 42.857 | ||
| | | 36/35, 40/39, 49/48 | ||
| Trup 1sn | | Trup 1sn | ||
| ^^^1 | | ^^^1 | ||
| Line 66: | Line 66: | ||
| 4 | | 4 | ||
| 57.143 | | 57.143 | ||
| | | ''27/26'' | ||
| Trudminor 2nd | | Trudminor 2nd | ||
| vvvm2 | | vvvm2 | ||
| Line 76: | Line 76: | ||
| 5 | | 5 | ||
| 71.429 | | 71.429 | ||
| | | 25/24, 26/25, ''28/27'' | ||
| Dudminor 2nd | | Dudminor 2nd | ||
| vvm2 | | vvm2 | ||
| Line 86: | Line 86: | ||
| 6 | | 6 | ||
| 85.714 | | 85.714 | ||
| | | 21/20 | ||
| Downminor 2nd | | Downminor 2nd | ||
| vm2 | | vm2 | ||
| Line 106: | Line 106: | ||
| 8 | | 8 | ||
| 114.286 | | 114.286 | ||
| | | 15/14, 16/15 | ||
| Upminor 2nd | | Upminor 2nd | ||
| ^m2 | | ^m2 | ||
| Line 116: | Line 116: | ||
| 9 | | 9 | ||
| 128.571 | | 128.571 | ||
| | | 14/13 | ||
| Dupminor 2nd | | Dupminor 2nd | ||
| ^^m2 | | ^^m2 | ||
| Line 126: | Line 126: | ||
| 10 | | 10 | ||
| 142.857 | | 142.857 | ||
| | | 13/12 | ||
| Trupminor 2nd | | Trupminor 2nd | ||
| ^^^m2 | | ^^^m2 | ||
| Line 156: | Line 156: | ||
| 13 | | 13 | ||
| 185.714 | | 185.714 | ||
| | | 10/9 | ||
| Downmajor 2nd | | Downmajor 2nd | ||
| vM2 | | vM2 | ||
| Line 166: | Line 166: | ||
| 14 | | 14 | ||
| 200.000 | | 200.000 | ||
| | | 9/8 | ||
| Major 2nd | | Major 2nd | ||
| M2 | | M2 | ||
| Line 186: | Line 186: | ||
| 16 | | 16 | ||
| 228.571 | | 228.571 | ||
| | | 8/7 | ||
| Dupmajor 2nd | | Dupmajor 2nd | ||
| ^^M2 | | ^^M2 | ||
| Line 196: | Line 196: | ||
| 17 | | 17 | ||
| 242.857 | | 242.857 | ||
| | | 15/13 | ||
| Trupmajor 2nd | | Trupmajor 2nd | ||
| ^^^M2 | | ^^^M2 | ||
| Line 216: | Line 216: | ||
| 19 | | 19 | ||
| 271.429 | | 271.429 | ||
| | | 7/6 | ||
| Dudminor 3rd | | Dudminor 3rd | ||
| vvm2 | | vvm2 | ||
| Line 236: | Line 236: | ||
| 21 | | 21 | ||
| 300.000 | | 300.000 | ||
| | | 32/27 | ||
| Minor 3rd | | Minor 3rd | ||
| m3 | | m3 | ||
| Line 246: | Line 246: | ||
| 22 | | 22 | ||
| 314.286 | | 314.286 | ||
| | | 6/5 | ||
| Upminor 3rd | | Upminor 3rd | ||
| ^m3 | | ^m3 | ||
| Line 266: | Line 266: | ||
| 24 | | 24 | ||
| 342.857 | | 342.857 | ||
| | | 39/32 | ||
| Trupminor 3rd | | Trupminor 3rd | ||
| ^^^m3 | | ^^^m3 | ||
| Line 276: | Line 276: | ||
| 25 | | 25 | ||
| 357.143 | | 357.143 | ||
| | | 16/13 | ||
| Trudmajor 3rd | | Trudmajor 3rd | ||
| vvvM3 | | vvvM3 | ||
| Line 286: | Line 286: | ||
| 26 | | 26 | ||
| 371.429 | | 371.429 | ||
| | | 26/21 | ||
| Dudmajor 3rd | | Dudmajor 3rd | ||
| vvM3 | | vvM3 | ||
| Line 296: | Line 296: | ||
| 27 | | 27 | ||
| 385.714 | | 385.714 | ||
| | | 5/4 | ||
| Downmajor 3rd | | Downmajor 3rd | ||
| vM3 | | vM3 | ||
| Line 326: | Line 326: | ||
| 30 | | 30 | ||
| 428.571 | | 428.571 | ||
| | | 9/7 | ||
| Dupmajor 3rd | | Dupmajor 3rd | ||
| ^^M3 | | ^^M3 | ||
| Line 346: | Line 346: | ||
| 32 | | 32 | ||
| 457.143 | | 457.143 | ||
| | | 13/10 | ||
| Trud 4th | | Trud 4th | ||
| vvv4 | | vvv4 | ||
| Line 356: | Line 356: | ||
| 33 | | 33 | ||
| 471.429 | | 471.429 | ||
| | | 21/16 | ||
| Dud 4th | | Dud 4th | ||
| vv4 | | vv4 | ||
| Line 376: | Line 376: | ||
| 35 | | 35 | ||
| 500.000 | | 500.000 | ||
| | | 4/3 | ||
| Perfect 4th | | Perfect 4th | ||
| P4 | | P4 | ||
| Line 386: | Line 386: | ||
| 36 | | 36 | ||
| 514.286 | | 514.286 | ||
| | | 27/20 | ||
| Up 4th | | Up 4th | ||
| ^4 | | ^4 | ||
| Line 416: | Line 416: | ||
| 39 | | 39 | ||
| 557.143 | | 557.143 | ||
| | | 18/13 | ||
| Trudaug 4th | | Trudaug 4th | ||
| vvvA4 | | vvvA4 | ||
| Line 436: | Line 436: | ||
| 41 | | 41 | ||
| 585.714 | | 585.714 | ||
| | | 7/5 | ||
| Downaug 4th | | Downaug 4th | ||
| vA4 | | vA4 | ||
| Line 456: | Line 456: | ||
| 43 | | 43 | ||
| 614.286 | | 614.286 | ||
| | | 10/7 | ||
| Updim 5th | | Updim 5th | ||
| ^d5 | | ^d5 | ||
| Line 476: | Line 476: | ||
| 45 | | 45 | ||
| 642.857 | | 642.857 | ||
| | | 13/9 | ||
| Trupdim 5th | | Trupdim 5th | ||
| ^^^d5 | | ^^^d5 | ||
| Line 506: | Line 506: | ||
| 48 | | 48 | ||
| 685.714 | | 685.714 | ||
| | | 40/27 | ||
| Down 5th | | Down 5th | ||
| v5 | | v5 | ||
| Line 516: | Line 516: | ||
| 49 | | 49 | ||
| 700.000 | | 700.000 | ||
| | | 3/2 | ||
| Perfect 5th | | Perfect 5th | ||
| P5 | | P5 | ||
| Line 536: | Line 536: | ||
| 51 | | 51 | ||
| 728.571 | | 728.571 | ||
| | | 32/21 | ||
| Dup 5th | | Dup 5th | ||
| ^^5 | | ^^5 | ||
| Line 546: | Line 546: | ||
| 52 | | 52 | ||
| 742.857 | | 742.857 | ||
| | | 20/13 | ||
| Trup 5th | | Trup 5th | ||
| ^^^5 | | ^^^5 | ||
| Line 566: | Line 566: | ||
| 54 | | 54 | ||
| 771.429 | | 771.429 | ||
| | | 14/9 | ||
| Dudminor 6th | | Dudminor 6th | ||
| vvm6 | | vvm6 | ||
| Line 596: | Line 596: | ||
| 57 | | 57 | ||
| 814.286 | | 814.286 | ||
| | | 8/5 | ||
| Upminor 6th | | Upminor 6th | ||
| ^m6 | | ^m6 | ||
| Line 606: | Line 606: | ||
| 58 | | 58 | ||
| 828.571 | | 828.571 | ||
| | | 21/13 | ||
| Dupminor 6th | | Dupminor 6th | ||
| ^^m6 | | ^^m6 | ||
| Line 616: | Line 616: | ||
| 59 | | 59 | ||
| 842.857 | | 842.857 | ||
| | | 13/8 | ||
| Trupminor 6th | | Trupminor 6th | ||
| ^^^m6 | | ^^^m6 | ||
| Line 626: | Line 626: | ||
| 60 | | 60 | ||
| 857.143 | | 857.143 | ||
| | | 64/39 | ||
| Trudmajor 6th | | Trudmajor 6th | ||
| vvvM6 | | vvvM6 | ||
| Line 646: | Line 646: | ||
| 62 | | 62 | ||
| 885.714 | | 885.714 | ||
| | | 5/3 | ||
| Downmajor 6th | | Downmajor 6th | ||
| vM6 | | vM6 | ||
| Line 656: | Line 656: | ||
| 63 | | 63 | ||
| 900.000 | | 900.000 | ||
| | | 27/16 | ||
| Major 6th | | Major 6th | ||
| M6 | | M6 | ||
| Line 676: | Line 676: | ||
| 65 | | 65 | ||
| 928.571 | | 928.571 | ||
| | | 12/7 | ||
| Dupmajor 6th | | Dupmajor 6th | ||
| ^^M6 | | ^^M6 | ||
| Line 696: | Line 696: | ||
| 67 | | 67 | ||
| 957.143 | | 957.143 | ||
| | | 26/15 | ||
| Trudminor 7th | | Trudminor 7th | ||
| vvvm7 | | vvvm7 | ||
| Line 706: | Line 706: | ||
| 68 | | 68 | ||
| 971.429 | | 971.429 | ||
| | | 7/4 | ||
| Dudminor 7th | | Dudminor 7th | ||
| vvm7 | | vvm7 | ||
| Line 726: | Line 726: | ||
| 70 | | 70 | ||
| 1000.000 | | 1000.000 | ||
| | | 16/9 | ||
| Minor 7th | | Minor 7th | ||
| m7 | | m7 | ||
| Line 736: | Line 736: | ||
| 71 | | 71 | ||
| 1014.286 | | 1014.286 | ||
| | | 9/5 | ||
| Upminor 7th | | Upminor 7th | ||
| ^m7 | | ^m7 | ||
| Line 766: | Line 766: | ||
| 74 | | 74 | ||
| 1057.143 | | 1057.143 | ||
| | | 24/13 | ||
| Trudmajor 7th | | Trudmajor 7th | ||
| vvvM7 | | vvvM7 | ||
| Line 776: | Line 776: | ||
| 75 | | 75 | ||
| 1071.429 | | 1071.429 | ||
| | | 13/7 | ||
| Dudmajor 7th | | Dudmajor 7th | ||
| vvM7 | | vvM7 | ||
| Line 786: | Line 786: | ||
| 76 | | 76 | ||
| 1085.714 | | 1085.714 | ||
| | | 15/8, 28/15 | ||
| Downmajor 7th | | Downmajor 7th | ||
| vM7 | | vM7 | ||
| Line 803: | Line 803: | ||
| ^M9 | | ^M9 | ||
| R^ | | R^ | ||
|- | |- | ||
| 78 | | 78 | ||
| 1114.286 | | 1114.286 | ||
| | | 40/21 | ||
| Upmajor 7th | | Upmajor 7th | ||
| ^M7 | | ^M7 | ||
| Line 817: | Line 816: | ||
| 79 | | 79 | ||
| 1128.571 | | 1128.571 | ||
| | | 25/13, ''27/14'', 48/25 | ||
| Dupmajor 7th | | Dupmajor 7th | ||
| ^^M7 | | ^^M7 | ||
| Line 827: | Line 826: | ||
| 80 | | 80 | ||
| 1142.857 | | 1142.857 | ||
| | | ''52/27'' | ||
| Trupmajor 7th | | Trupmajor 7th | ||
| ^^^M7 | | ^^^M7 | ||
| Line 837: | Line 836: | ||
| 81 | | 81 | ||
| 1157.143 | | 1157.143 | ||
| | | 35/18, 39/20, 96/49 | ||
| Trud 8ve | | Trud 8ve | ||
| vvv8 | | vvv8 | ||
| Line 847: | Line 846: | ||
| 82 | | 82 | ||
| 1171.429 | | 1171.429 | ||
| | | 49/25, 63/32 | ||
| Dud 8ve | | Dud 8ve | ||
| vv8 | | vv8 | ||
| Line 857: | Line 856: | ||
| 83 | | 83 | ||
| 1185.714 | | 1185.714 | ||
| | | 125/63, ''160/81'' | ||
| Down 8ve | | Down 8ve | ||
| v8 | | v8 | ||
| Line 867: | Line 866: | ||
| 84 | | 84 | ||
| 1200.000 | | 1200.000 | ||
| | | 2/1 | ||
| Perfect 8ve | | Perfect 8ve | ||
| P8 | | P8 | ||
| Line 876: | Line 875: | ||
|- | |- | ||
|} | |} | ||
<nowiki>*</nowiki> as a 2.3.5.7.13-subgroup temperament | |||
== Regular temperament properties == | == Regular temperament properties == | ||