36edo: Difference between revisions
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| Line 31: | Line 31: | ||
! Degree | ! Degree | ||
! [[cent|Cents]] | ! [[cent|Cents]] | ||
! Approximate <br /> ratios of 2.3.7<ref group="note" name="subg">{{sg|limit=2.3.7 or 2.3.7.13.17 subgroup}}</ref> | ! Approximate<br />ratios of 2.3.7<ref group="note" name="subg">{{sg|limit=2.3.7 or 2.3.7.13.17 subgroup}}</ref> | ||
! Additional ratios <br /> of 2.3.7.13.17<ref group="note" name="subg" /> | ! Additional ratios<br />of 2.3.7.13.17<ref group="note" name="subg" /> | ||
! Additional ratios<br />of 2.3.5.7 | |||
! colspan="3" | [[Ups and Downs Notation|Ups and downs <br /> notation]] | ! colspan="3" | [[Ups and Downs Notation|Ups and downs <br /> notation]] | ||
|- | |- | ||
| Line 38: | Line 39: | ||
| 0.00 | | 0.00 | ||
| 1/1 | | 1/1 | ||
| | |||
| | | | ||
| P1 | | P1 | ||
| Line 46: | Line 48: | ||
| 33.33 | | 33.33 | ||
| 64/63, [[49/48]] | | 64/63, [[49/48]] | ||
| | |||
| | | | ||
| ^1 | | ^1 | ||
| Line 54: | Line 57: | ||
| style="text-align:right;" |66.67 | | style="text-align:right;" |66.67 | ||
| [[28/27]] | | [[28/27]] | ||
| | |||
| | | | ||
| vm2 | | vm2 | ||
| Line 63: | Line 67: | ||
| 256/243 | | 256/243 | ||
| [[17/16]], [[18/17]] | | [[17/16]], [[18/17]] | ||
| [[16/15]] | |||
| m2 | | m2 | ||
| minor 2nd | | minor 2nd | ||
| Line 71: | Line 76: | ||
| 243/224 | | 243/224 | ||
| [[14/13]], [[13/12]] | | [[14/13]], [[13/12]] | ||
| | |||
| ^m2 | | ^m2 | ||
| upminor 2nd | | upminor 2nd | ||
| Line 78: | Line 84: | ||
| 166.67 | | 166.67 | ||
| [[54/49]] | | [[54/49]] | ||
| | |||
| | | | ||
| vM2 | | vM2 | ||
| Line 87: | Line 94: | ||
| [[9/8]] | | [[9/8]] | ||
| | | | ||
| ''[[10/9]]'' | |||
| M2 | | M2 | ||
| major 2nd | | major 2nd | ||
| Line 94: | Line 102: | ||
| 233.33 | | 233.33 | ||
| [[8/7]] | | [[8/7]] | ||
| | |||
| | | | ||
| ^M2 | | ^M2 | ||
| Line 102: | Line 111: | ||
| 266.67 | | 266.67 | ||
| [[7/6]] | | [[7/6]] | ||
| | |||
| | | | ||
| vm3 | | vm3 | ||
| Line 111: | Line 121: | ||
| [[32/27]] | | [[32/27]] | ||
| | | | ||
| [[6/5]] | |||
| m3 | | m3 | ||
| minor 3rd | | minor 3rd | ||
| Line 119: | Line 130: | ||
| 98/81 | | 98/81 | ||
| [[17/14]] | | [[17/14]] | ||
| | |||
| ^m3 | | ^m3 | ||
| upminor 3rd | | upminor 3rd | ||
| Line 127: | Line 139: | ||
| 243/196 | | 243/196 | ||
| [[16/13]], [[26/21]], [[21/17]] | | [[16/13]], [[26/21]], [[21/17]] | ||
| | |||
| vM3 | | vM3 | ||
| downmajor 3rd | | downmajor 3rd | ||
| Line 135: | Line 148: | ||
| [[81/64]] | | [[81/64]] | ||
| | | | ||
| [[5/4]] | |||
| M3 | | M3 | ||
| major 3rd | | major 3rd | ||
| Line 142: | Line 156: | ||
| 433.33 | | 433.33 | ||
| [[9/7]] | | [[9/7]] | ||
| | |||
| | | | ||
| ^M3 | | ^M3 | ||
| Line 151: | Line 166: | ||
| [[64/49]], [[21/16]] | | [[64/49]], [[21/16]] | ||
| [[17/13]] | | [[17/13]] | ||
| | |||
| v4 | | v4 | ||
| down 4th | | down 4th | ||
| Line 158: | Line 174: | ||
| 500.00 | | 500.00 | ||
| [[4/3]] | | [[4/3]] | ||
| | |||
| | | | ||
| P4 | | P4 | ||
| Line 166: | Line 183: | ||
| 533.33 | | 533.33 | ||
| [[49/36]] | | [[49/36]] | ||
| | |||
| | | | ||
| ^4 | | ^4 | ||
| Line 175: | Line 193: | ||
| | | | ||
| [[18/13]] | | [[18/13]] | ||
| [[7/5]] | |||
| vA4 | | vA4 | ||
| downaug 4th | | downaug 4th | ||
| Line 183: | Line 202: | ||
| | | | ||
| | | | ||
| [[45/32]], [[64/45]] | |||
| A4, d5 | | A4, d5 | ||
| aug 4th, dim 5th | | aug 4th, dim 5th | ||
| Line 191: | Line 211: | ||
| | | | ||
| [[13/9]] | | [[13/9]] | ||
| [[10/7]] | |||
| ^d5 | | ^d5 | ||
| updim 5th | | updim 5th | ||
| Line 198: | Line 219: | ||
| 666.67 | | 666.67 | ||
| 72/49 | | 72/49 | ||
| | |||
| | | | ||
| v5 | | v5 | ||
| Line 206: | Line 228: | ||
| 700 | | 700 | ||
| [[3/2]] | | [[3/2]] | ||
| | |||
| | | | ||
| P5 | | P5 | ||
| Line 215: | Line 238: | ||
| [[49/32]], [[32/21]] | | [[49/32]], [[32/21]] | ||
| [[26/17]] | | [[26/17]] | ||
| | |||
| ^5 | | ^5 | ||
| up fifth | | up fifth | ||
| Line 222: | Line 246: | ||
| 766.67 | | 766.67 | ||
| [[14/9]] | | [[14/9]] | ||
| | |||
| | | | ||
| vm6 | | vm6 | ||
| Line 231: | Line 256: | ||
| [[128/81]] | | [[128/81]] | ||
| | | | ||
| [[8/5]] | |||
| m6 | | m6 | ||
| minor 6th | | minor 6th | ||
| Line 239: | Line 265: | ||
| 392/243 | | 392/243 | ||
| [[13/8]], [[21/13]], [[34/21]] | | [[13/8]], [[21/13]], [[34/21]] | ||
| | |||
| ^m6 | | ^m6 | ||
| upminor 6th | | upminor 6th | ||
| Line 247: | Line 274: | ||
| 81/49 | | 81/49 | ||
| [[28/17]] | | [[28/17]] | ||
| | |||
| vM6 | | vM6 | ||
| downmajor 6th | | downmajor 6th | ||
| Line 255: | Line 283: | ||
| [[27/16]] | | [[27/16]] | ||
| | | | ||
| [[5/3]] | |||
| M6 | | M6 | ||
| major 6th | | major 6th | ||
| Line 262: | Line 291: | ||
| 933.33 | | 933.33 | ||
| [[12/7]] | | [[12/7]] | ||
| | |||
| | | | ||
| ^M6 | | ^M6 | ||
| Line 270: | Line 300: | ||
| 966.67 | | 966.67 | ||
| [[7/4]] | | [[7/4]] | ||
| | |||
| | | | ||
| vm7 | | vm7 | ||
| Line 279: | Line 310: | ||
| [[16/9]] | | [[16/9]] | ||
| | | | ||
| ''[[9/5]]'' | |||
| m7 | | m7 | ||
| minor 7th | | minor 7th | ||
| Line 286: | Line 318: | ||
| 1033.33 | | 1033.33 | ||
| 49/27 | | 49/27 | ||
| | |||
| | | | ||
| ^m7 | | ^m7 | ||
| Line 295: | Line 328: | ||
| 448/243 | | 448/243 | ||
| [[13/7]], [[24/13]] | | [[13/7]], [[24/13]] | ||
| | |||
| vM7 | | vM7 | ||
| downmajor 7th | | downmajor 7th | ||
| Line 303: | Line 337: | ||
| [[243/128]] | | [[243/128]] | ||
| [[32/17]], [[17/9]] | | [[32/17]], [[17/9]] | ||
| [[15/8]] | |||
| M7 | | M7 | ||
| major 7th | | major 7th | ||
| Line 310: | Line 345: | ||
| 1133.33 | | 1133.33 | ||
| [[27/14]] | | [[27/14]] | ||
| | |||
| | | | ||
| ^M7 | | ^M7 | ||
| Line 318: | Line 354: | ||
| 1166.67 | | 1166.67 | ||
| 63/32, 96/49 | | 63/32, 96/49 | ||
| | |||
| | | | ||
| v8 | | v8 | ||
| Line 326: | Line 363: | ||
| 1200.00 | | 1200.00 | ||
| 2/1 | | 2/1 | ||
| | |||
| | | | ||
| P8 | | P8 | ||