39edo: Difference between revisions
Consolidate sections |
m →Intervals: -typo, reduce cent values to one decimal place, and cleanup |
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! Cents | ! Cents | ||
! Approximate ratios* | ! Approximate ratios* | ||
! colspan="3" | [[Ups and downs | ! colspan="3" | [[Ups and downs notation]] | ||
! colspan="3" | [[Nearest just interval]]<br | ! colspan="3" | [[Nearest just interval]]<br>(Ratio, cents, error) | ||
|- | |- | ||
| 0 | | 0 | ||
| 0. | | 0.0 | ||
| [[1/1]] | | [[1/1]] | ||
| P1 | | P1 | ||
Line 44: | Line 44: | ||
|- | |- | ||
| 1 | | 1 | ||
| 30. | | 30.8 | ||
| ''[[36/35]]'', [[50/49]], [[55/54]], [[56/55]], [[81/80]] | | ''[[36/35]]'', [[50/49]], [[55/54]], [[56/55]], [[81/80]] | ||
| ^1,<br | | ^1,<br>vm2 | ||
| up unison, <br | | up unison, <br>downminor 2nd | ||
| ^D, <br | | ^D, <br>vEb | ||
| 57/56 | | 57/56 | ||
| 30.64 | | 30.64 | ||
Line 54: | Line 54: | ||
|- | |- | ||
| 2 | | 2 | ||
| 61. | | 61.5 | ||
| [[28/27]], [[33/32]], ''[[49/48]]'' | | [[28/27]], [[33/32]], ''[[49/48]]'' | ||
| m2 | | m2 | ||
Line 64: | Line 64: | ||
|- | |- | ||
| 3 | | 3 | ||
| 92. | | 92.3 | ||
| ''[[16/15]]'', [[21/20]], ''[[25/24]]'' | | ''[[16/15]]'', [[21/20]], ''[[25/24]]'' | ||
| ^m2 | | ^m2 | ||
Line 74: | Line 74: | ||
|- | |- | ||
| 4 | | 4 | ||
| 123. | | 123.1 | ||
| [[15/14]] | | [[15/14]] | ||
| ^^m2 | | ^^m2 | ||
Line 84: | Line 84: | ||
|- | |- | ||
| 5 | | 5 | ||
| 153. | | 153.8 | ||
| [[11/10]], [[12/11]] | | [[11/10]], [[12/11]] | ||
| vvM2 | | vvM2 | ||
Line 94: | Line 94: | ||
|- | |- | ||
| 6 | | 6 | ||
| 184. | | 184.6 | ||
| [[10/9]] | | [[10/9]] | ||
| vM2 | | vM2 | ||
Line 104: | Line 104: | ||
|- | |- | ||
| 7 | | 7 | ||
| 215. | | 215.4 | ||
| [[9/8]], ''[[8/7]]'' | | [[9/8]], ''[[8/7]]'' | ||
| M2 | | M2 | ||
Line 114: | Line 114: | ||
|- | |- | ||
| 8 | | 8 | ||
| 246. | | 246.2 | ||
| [[81/70]] | | [[81/70]] | ||
| ^M2, <br | | ^M2, <br>vm3 | ||
| upmajor 2nd, <br | | upmajor 2nd, <br>downminor 3rd | ||
| ^E, <br | | ^E, <br>vF | ||
| 15/13 | | 15/13 | ||
| 247.74 | | 247.74 | ||
Line 124: | Line 124: | ||
|- | |- | ||
| 9 | | 9 | ||
| 276. | | 276.9 | ||
| [[7/6]] | | [[7/6]] | ||
| m3 | | m3 | ||
Line 134: | Line 134: | ||
|- | |- | ||
| 10 | | 10 | ||
| 307. | | 307.7 | ||
| [[6/5]] | | [[6/5]] | ||
| ^m3 | | ^m3 | ||
Line 144: | Line 144: | ||
|- | |- | ||
| 11 | | 11 | ||
| 338. | | 338.5 | ||
| [[11/9]] | | [[11/9]] | ||
| ^^m3 | | ^^m3 | ||
Line 154: | Line 154: | ||
|- | |- | ||
| 12 | | 12 | ||
| 369. | | 369.2 | ||
| [[27/22]] | | [[27/22]] | ||
| vvM3 | | vvM3 | ||
Line 164: | Line 164: | ||
|- | |- | ||
| 13 | | 13 | ||
| 400. | | 400.0 | ||
| [[5/4]] | | [[5/4]] | ||
| vM3 | | vM3 | ||
Line 174: | Line 174: | ||
|- | |- | ||
| 14 | | 14 | ||
| 430. | | 430.8 | ||
| [[9/7]], [[14/11]] | | [[9/7]], [[14/11]] | ||
| M3 | | M3 | ||
Line 184: | Line 184: | ||
|- | |- | ||
| 15 | | 15 | ||
| 461. | | 461.5 | ||
| [[35/27]] | | [[35/27]] | ||
| v4 | | v4 | ||
Line 194: | Line 194: | ||
|- | |- | ||
| 16 | | 16 | ||
| 492. | | 492.3 | ||
| [[4/3]] | | [[4/3]] | ||
| P4 | | P4 | ||
Line 204: | Line 204: | ||
|- | |- | ||
| 17 | | 17 | ||
| 523. | | 523.1 | ||
| [[27/20]] | | [[27/20]] | ||
| ^4 | | ^4 | ||
Line 214: | Line 214: | ||
|- | |- | ||
| 18 | | 18 | ||
| 553. | | 553.8 | ||
| [[11/8]] | | [[11/8]] | ||
| ^^4 | | ^^4 | ||
Line 224: | Line 224: | ||
|- | |- | ||
| 19 | | 19 | ||
| 584. | | 584.6 | ||
| [[7/5]] | | [[7/5]] | ||
| vvA4, <br | | vvA4, <br>^d5 | ||
| dudaug 4th, <br | | dudaug 4th, <br>updim 5th | ||
| vvG#, <br | | vvG#, <br>^Ab | ||
| 7/5 | | 7/5 | ||
| 582.51 | | 582.51 | ||
Line 234: | Line 234: | ||
|- | |- | ||
| 20 | | 20 | ||
| 615. | | 615.4 | ||
| [[10/7]] | | [[10/7]] | ||
| vA4, <br | | vA4, <br>^^d5 | ||
| downaug 4th, <br | | downaug 4th, <br>dupdim 5th | ||
| vG#, <br | | vG#, <br>^^Ab | ||
| 10/7 | | 10/7 | ||
| 617.49 | | 617.49 | ||
Line 244: | Line 244: | ||
|- | |- | ||
| 21 | | 21 | ||
| 646. | | 646.2 | ||
| [[16/11]] | | [[16/11]] | ||
| vv5 | | vv5 | ||
Line 254: | Line 254: | ||
|- | |- | ||
| 22 | | 22 | ||
| 676. | | 676.9 | ||
| [[40/27]] | | [[40/27]] | ||
| v5 | | v5 | ||
Line 264: | Line 264: | ||
|- | |- | ||
| 23 | | 23 | ||
| 707. | | 707.7 | ||
| [[3/2]] | | [[3/2]] | ||
| P5 | | P5 | ||
Line 274: | Line 274: | ||
|- | |- | ||
| 24 | | 24 | ||
| 738. | | 738.5 | ||
| [[54/35]] | | [[54/35]] | ||
| ^5 | | ^5 | ||
Line 284: | Line 284: | ||
|- | |- | ||
| 25 | | 25 | ||
| 769. | | 769.2 | ||
| [[11/7]], [[14/9]] | | [[11/7]], [[14/9]] | ||
| m6 | | m6 | ||
Line 294: | Line 294: | ||
|- | |- | ||
| 26 | | 26 | ||
| 800. | | 800.0 | ||
| [[8/5]] | | [[8/5]] | ||
| ^m6 | | ^m6 | ||
Line 304: | Line 304: | ||
|- | |- | ||
| 27 | | 27 | ||
| 830. | | 830.8 | ||
| [[44/27]] | | [[44/27]] | ||
| ^^m6 | | ^^m6 | ||
Line 314: | Line 314: | ||
|- | |- | ||
| 28 | | 28 | ||
| 861. | | 861.5 | ||
| [[18/11]] | | [[18/11]] | ||
| vvM6 | | vvM6 | ||
Line 324: | Line 324: | ||
|- | |- | ||
| 29 | | 29 | ||
| 892. | | 892.3 | ||
| [[5/3]] | | [[5/3]] | ||
| vM6 | | vM6 | ||
Line 334: | Line 334: | ||
|- | |- | ||
| 30 | | 30 | ||
| 923. | | 923.1 | ||
| [[12/7]] | | [[12/7]] | ||
| M6 | | M6 | ||
Line 344: | Line 344: | ||
|- | |- | ||
| 31 | | 31 | ||
| 953. | | 953.8 | ||
| [[140/81]] | | [[140/81]] | ||
| ^M6, <br | | ^M6, <br>vm7 | ||
| upmajor 6th, <br | | upmajor 6th, <br>downminor 7th | ||
| ^B, <br | | ^B, <br>vC | ||
| 26/15 | | 26/15 | ||
| 952.26 | | 952.26 | ||
Line 354: | Line 354: | ||
|- | |- | ||
| 32 | | 32 | ||
| 984. | | 984.6 | ||
| ''[[7/4]]'', [[16/9]] | | ''[[7/4]]'', [[16/9]] | ||
| m7 | | m7 | ||
Line 364: | Line 364: | ||
|- | |- | ||
| 33 | | 33 | ||
| 1015. | | 1015.4 | ||
| [[9/5]] | | [[9/5]] | ||
| ^m7 | | ^m7 | ||
Line 374: | Line 374: | ||
|- | |- | ||
| 34 | | 34 | ||
| 1046. | | 1046.2 | ||
| [[11/6]], [[20/11]] | | [[11/6]], [[20/11]] | ||
| ^^m7 | | ^^m7 | ||
Line 384: | Line 384: | ||
|- | |- | ||
| 35 | | 35 | ||
| 1076. | | 1076.9 | ||
| [[28/15]] | | [[28/15]] | ||
| vvM7 | | vvM7 | ||
Line 394: | Line 394: | ||
|- | |- | ||
| 36 | | 36 | ||
| 1107. | | 1107.7 | ||
| ''[[15/8]]'', [[40/21]], ''[[48/25]]'' | | ''[[15/8]]'', [[40/21]], ''[[48/25]]'' | ||
| vM7 | | vM7 | ||
Line 404: | Line 404: | ||
|- | |- | ||
| 37 | | 37 | ||
| 1138. | | 1138.5 | ||
| [[27/14]], ''[[96/49]]'', [[64/33]] | | [[27/14]], ''[[96/49]]'', [[64/33]] | ||
| M7 | | M7 | ||
Line 414: | Line 414: | ||
|- | |- | ||
| 38 | | 38 | ||
| 1169. | | 1169.2 | ||
| ''[[35/18]]'', [[49/25]], [[55/28]], [[108/55]], [[160/81]] | | ''[[35/18]]'', [[49/25]], [[55/28]], [[108/55]], [[160/81]] | ||
| ^M7,<br | | ^M7,<br>v8 | ||
| upmajor 7th,<br | | upmajor 7th,<br>down 8ve | ||
| ^C#, <br | | ^C#, <br>vD | ||
| 112/57 | | 112/57 | ||
| 1169.36 | | 1169.36 | ||
Line 424: | Line 424: | ||
|- | |- | ||
| 39 | | 39 | ||
| 1200. | | 1200.0 | ||
| [[2/1]] | | [[2/1]] | ||
| P8 | | P8 | ||
Line 433: | Line 433: | ||
| None | | None | ||
|} | |} | ||
<nowiki />* 11-limit in the 39d val, inconsistent intervals in ''italic'' | <nowiki/>* 11-limit in the 39d val, inconsistent intervals in ''italic'' | ||
Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and | Chords can be named using ups and downs as C upminor, D downmajor seven, etc. See [[Ups and downs notation #Chords and chord progressions]]. | ||
== Notation == | == Notation == |