53edo: Difference between revisions
m The ratio of supermajor chord was wrong! |
Removed pions column. These pages especially should reflect the knowledge and use of the community, not an individual. |
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Line 20: | Line 20: | ||
! | solfege | ! | solfege | ||
! | cents | ! | cents | ||
! | approximate ratios | ! | approximate ratios | ||
! colspan="3" | [[Ups_and_Downs_Notation|ups and downs]] [[Ups_and_Downs_Notation|notation]] | ! colspan="3" | [[Ups_and_Downs_Notation|ups and downs]] [[Ups_and_Downs_Notation|notation]] | ||
Line 28: | Line 27: | ||
| style="text-align:center;" | do | | style="text-align:center;" | do | ||
| style="text-align:center;" | 0.00 | | style="text-align:center;" | 0.00 | ||
| style="text-align:center;" | 1/1 | | style="text-align:center;" | 1/1 | ||
| style="text-align:center;" | P1 | | style="text-align:center;" | P1 | ||
Line 38: | Line 36: | ||
| style="text-align:center;" | di | | style="text-align:center;" | di | ||
| style="text-align:center;" | 22.64 | | style="text-align:center;" | 22.64 | ||
| style="text-align:center;" | 81/80, 64/63, 50/49 | | style="text-align:center;" | 81/80, 64/63, 50/49 | ||
| style="text-align:center;" | ^1 | | style="text-align:center;" | ^1 | ||
Line 48: | Line 45: | ||
| style="text-align:center;" | daw | | style="text-align:center;" | daw | ||
| style="text-align:center;" | 45.28 | | style="text-align:center;" | 45.28 | ||
| style="text-align:center;" | 49/48, 36/35, 33/32, 128/125 | | style="text-align:center;" | 49/48, 36/35, 33/32, 128/125 | ||
| style="text-align:center;" | ^^1, | | style="text-align:center;" | ^^1, | ||
Line 64: | Line 60: | ||
| style="text-align:center;" | ro | | style="text-align:center;" | ro | ||
| style="text-align:center;" | 67.925 | | style="text-align:center;" | 67.925 | ||
| style="text-align:center;" | 27/26, 26/25, 25/24, 22/21 | | style="text-align:center;" | 27/26, 26/25, 25/24, 22/21 | ||
| style="text-align:center;" | vm2 | | style="text-align:center;" | vm2 | ||
Line 74: | Line 69: | ||
| style="text-align:center;" | rih | | style="text-align:center;" | rih | ||
| style="text-align:center;" | 90.57 | | style="text-align:center;" | 90.57 | ||
| style="text-align:center;" | 21/20, 256/243 | | style="text-align:center;" | 21/20, 256/243 | ||
| style="text-align:center;" | m2 | | style="text-align:center;" | m2 | ||
Line 84: | Line 78: | ||
| style="text-align:center;" | ra | | style="text-align:center;" | ra | ||
| style="text-align:center;" | 113.21 | | style="text-align:center;" | 113.21 | ||
| style="text-align:center;" | 16/15, 15/14 | | style="text-align:center;" | 16/15, 15/14 | ||
| style="text-align:center;" | ^m2 | | style="text-align:center;" | ^m2 | ||
Line 94: | Line 87: | ||
| style="text-align:center;" | ru | | style="text-align:center;" | ru | ||
| style="text-align:center;" | 135.85 | | style="text-align:center;" | 135.85 | ||
| style="text-align:center;" | 14/13, 13/12, 27/25 | | style="text-align:center;" | 14/13, 13/12, 27/25 | ||
| style="text-align:center;" | v~2 | | style="text-align:center;" | v~2 | ||
Line 104: | Line 96: | ||
| style="text-align:center;" | ruh | | style="text-align:center;" | ruh | ||
| style="text-align:center;" | 158.49 | | style="text-align:center;" | 158.49 | ||
| style="text-align:center;" | 12/11, 11/10, 800/729 | | style="text-align:center;" | 12/11, 11/10, 800/729 | ||
| style="text-align:center;" | ^~2 | | style="text-align:center;" | ^~2 | ||
Line 114: | Line 105: | ||
| style="text-align:center;" | reh | | style="text-align:center;" | reh | ||
| style="text-align:center;" | 181.13 | | style="text-align:center;" | 181.13 | ||
| style="text-align:center;" | 10/9 | | style="text-align:center;" | 10/9 | ||
| style="text-align:center;" | vM2 | | style="text-align:center;" | vM2 | ||
Line 124: | Line 114: | ||
| style="text-align:center;" | re | | style="text-align:center;" | re | ||
| style="text-align:center;" | 203.77 | | style="text-align:center;" | 203.77 | ||
| style="text-align:center;" | 9/8 | | style="text-align:center;" | 9/8 | ||
| style="text-align:center;" | M2 | | style="text-align:center;" | M2 | ||
Line 134: | Line 123: | ||
| style="text-align:center;" | ri | | style="text-align:center;" | ri | ||
| style="text-align:center;" | 226.42 | | style="text-align:center;" | 226.42 | ||
| style="text-align:center;" | 8/7, 256/225 | | style="text-align:center;" | 8/7, 256/225 | ||
| style="text-align:center;" | ^M2 | | style="text-align:center;" | ^M2 | ||
Line 144: | Line 132: | ||
| style="text-align:center;" | raw | | style="text-align:center;" | raw | ||
| style="text-align:center;" | 249.06 | | style="text-align:center;" | 249.06 | ||
| style="text-align:center;" | 15/13, 144/125 | | style="text-align:center;" | 15/13, 144/125 | ||
| style="text-align:center;" | ^^M2, | | style="text-align:center;" | ^^M2, | ||
Line 160: | Line 147: | ||
| style="text-align:center;" | ma | | style="text-align:center;" | ma | ||
| style="text-align:center;" | 271.70 | | style="text-align:center;" | 271.70 | ||
| style="text-align:center;" | 7/6, 75/64 | | style="text-align:center;" | 7/6, 75/64 | ||
| style="text-align:center;" | vm3 | | style="text-align:center;" | vm3 | ||
Line 170: | Line 156: | ||
| style="text-align:center;" | meh | | style="text-align:center;" | meh | ||
| style="text-align:center;" | 294.34 | | style="text-align:center;" | 294.34 | ||
| style="text-align:center;" | 13/11, 32/27 | | style="text-align:center;" | 13/11, 32/27 | ||
| style="text-align:center;" | m3 | | style="text-align:center;" | m3 | ||
Line 180: | Line 165: | ||
| style="text-align:center;" | me | | style="text-align:center;" | me | ||
| style="text-align:center;" | 316.98 | | style="text-align:center;" | 316.98 | ||
| style="text-align:center;" | 6/5 | | style="text-align:center;" | 6/5 | ||
| style="text-align:center;" | ^m3 | | style="text-align:center;" | ^m3 | ||
Line 190: | Line 174: | ||
| style="text-align:center;" | mu | | style="text-align:center;" | mu | ||
| style="text-align:center;" | 339.62 | | style="text-align:center;" | 339.62 | ||
| style="text-align:center;" | 11/9, 243/200 | | style="text-align:center;" | 11/9, 243/200 | ||
| style="text-align:center;" | v~3 | | style="text-align:center;" | v~3 | ||
Line 200: | Line 183: | ||
| style="text-align:center;" | muh | | style="text-align:center;" | muh | ||
| style="text-align:center;" | 362.26 | | style="text-align:center;" | 362.26 | ||
| style="text-align:center;" | 16/13, 100/81 | | style="text-align:center;" | 16/13, 100/81 | ||
| style="text-align:center;" | ^~3 | | style="text-align:center;" | ^~3 | ||
Line 210: | Line 192: | ||
| style="text-align:center;" | mi | | style="text-align:center;" | mi | ||
| style="text-align:center;" | 384.91 | | style="text-align:center;" | 384.91 | ||
| style="text-align:center;" | 5/4 | | style="text-align:center;" | 5/4 | ||
| style="text-align:center;" | vM3 | | style="text-align:center;" | vM3 | ||
Line 220: | Line 201: | ||
| style="text-align:center;" | maa | | style="text-align:center;" | maa | ||
| style="text-align:center;" | 407.55 | | style="text-align:center;" | 407.55 | ||
| style="text-align:center;" | 81/64 | | style="text-align:center;" | 81/64 | ||
| style="text-align:center;" | M3 | | style="text-align:center;" | M3 | ||
Line 230: | Line 210: | ||
| style="text-align:center;" | mo | | style="text-align:center;" | mo | ||
| style="text-align:center;" | 430.19 | | style="text-align:center;" | 430.19 | ||
| style="text-align:center;" | 9/7, 14/11 | | style="text-align:center;" | 9/7, 14/11 | ||
| style="text-align:center;" | ^M3 | | style="text-align:center;" | ^M3 | ||
Line 240: | Line 219: | ||
| style="text-align:center;" | maw | | style="text-align:center;" | maw | ||
| style="text-align:center;" | 452.83 | | style="text-align:center;" | 452.83 | ||
| style="text-align:center;" | 13/10, 125/96 | | style="text-align:center;" | 13/10, 125/96 | ||
| style="text-align:center;" | ^^M3, | | style="text-align:center;" | ^^M3, | ||
Line 256: | Line 234: | ||
| style="text-align:center;" | fe | | style="text-align:center;" | fe | ||
| style="text-align:center;" | 475.47 | | style="text-align:center;" | 475.47 | ||
| style="text-align:center;" | 21/16, 675/512, 320/243 | | style="text-align:center;" | 21/16, 675/512, 320/243 | ||
| style="text-align:center;" | v4 | | style="text-align:center;" | v4 | ||
Line 266: | Line 243: | ||
| style="text-align:center;" | fa | | style="text-align:center;" | fa | ||
| style="text-align:center;" | 498.11 | | style="text-align:center;" | 498.11 | ||
| style="text-align:center;" | 4/3 | | style="text-align:center;" | 4/3 | ||
| style="text-align:center;" | P4 | | style="text-align:center;" | P4 | ||
Line 276: | Line 252: | ||
| style="text-align:center;" | fih | | style="text-align:center;" | fih | ||
| style="text-align:center;" | 520.75 | | style="text-align:center;" | 520.75 | ||
| style="text-align:center;" | 27/20 | | style="text-align:center;" | 27/20 | ||
| style="text-align:center;" | ^4 | | style="text-align:center;" | ^4 | ||
Line 286: | Line 261: | ||
| style="text-align:center;" | fu | | style="text-align:center;" | fu | ||
| style="text-align:center;" | 543.40 | | style="text-align:center;" | 543.40 | ||
| style="text-align:center;" | 11/8, 15/11 | | style="text-align:center;" | 11/8, 15/11 | ||
| style="text-align:center;" | v~4 | | style="text-align:center;" | v~4 | ||
Line 296: | Line 270: | ||
| style="text-align:center;" | fuh | | style="text-align:center;" | fuh | ||
| style="text-align:center;" | 566.04 | | style="text-align:center;" | 566.04 | ||
| style="text-align:center;" | 18/13 | | style="text-align:center;" | 18/13 | ||
| style="text-align:center;" | ^~4, | | style="text-align:center;" | ^~4, | ||
Line 312: | Line 285: | ||
| style="text-align:center;" | fi | | style="text-align:center;" | fi | ||
| style="text-align:center;" | 588.68 | | style="text-align:center;" | 588.68 | ||
| style="text-align:center;" | 7/5, 45/32 | | style="text-align:center;" | 7/5, 45/32 | ||
| style="text-align:center;" | vA4, | | style="text-align:center;" | vA4, | ||
Line 328: | Line 300: | ||
| style="text-align:center;" | se | | style="text-align:center;" | se | ||
| style="text-align:center;" | 611.32 | | style="text-align:center;" | 611.32 | ||
| style="text-align:center;" | 10/7, 64/45 | | style="text-align:center;" | 10/7, 64/45 | ||
| style="text-align:center;" | A4, | | style="text-align:center;" | A4, | ||
Line 344: | Line 315: | ||
| style="text-align:center;" | suh | | style="text-align:center;" | suh | ||
| style="text-align:center;" | 633.96 | | style="text-align:center;" | 633.96 | ||
| style="text-align:center;" | 13/9 | | style="text-align:center;" | 13/9 | ||
| style="text-align:center;" | ^A4, | | style="text-align:center;" | ^A4, | ||
Line 360: | Line 330: | ||
| style="text-align:center;" | su | | style="text-align:center;" | su | ||
| style="text-align:center;" | 656.60 | | style="text-align:center;" | 656.60 | ||
| style="text-align:center;" | 16/11, 22/15 | | style="text-align:center;" | 16/11, 22/15 | ||
| style="text-align:center;" | ^~5 | | style="text-align:center;" | ^~5 | ||
Line 370: | Line 339: | ||
| style="text-align:center;" | sih | | style="text-align:center;" | sih | ||
| style="text-align:center;" | 679.25 | | style="text-align:center;" | 679.25 | ||
| style="text-align:center;" | 40/27 | | style="text-align:center;" | 40/27 | ||
| style="text-align:center;" | v5 | | style="text-align:center;" | v5 | ||
Line 380: | Line 348: | ||
| style="text-align:center;" | sol | | style="text-align:center;" | sol | ||
| style="text-align:center;" | 701.89 | | style="text-align:center;" | 701.89 | ||
| style="text-align:center;" | 3/2 | | style="text-align:center;" | 3/2 | ||
| style="text-align:center;" | P5 | | style="text-align:center;" | P5 | ||
Line 390: | Line 357: | ||
| style="text-align:center;" | si | | style="text-align:center;" | si | ||
| style="text-align:center;" | 724.53 | | style="text-align:center;" | 724.53 | ||
| style="text-align:center;" | 32/21, 243/160, 1024/675 | | style="text-align:center;" | 32/21, 243/160, 1024/675 | ||
| style="text-align:center;" | ^5 | | style="text-align:center;" | ^5 | ||
Line 400: | Line 366: | ||
| style="text-align:center;" | saw | | style="text-align:center;" | saw | ||
| style="text-align:center;" | 747.17 | | style="text-align:center;" | 747.17 | ||
| style="text-align:center;" | 20/13, 192/125 | | style="text-align:center;" | 20/13, 192/125 | ||
| style="text-align:center;" | ^^5, | | style="text-align:center;" | ^^5, | ||
Line 416: | Line 381: | ||
| style="text-align:center;" | lo | | style="text-align:center;" | lo | ||
| style="text-align:center;" | 769.81 | | style="text-align:center;" | 769.81 | ||
| style="text-align:center;" | 14/9, 25/16, 11/7 | | style="text-align:center;" | 14/9, 25/16, 11/7 | ||
| style="text-align:center;" | vm6 | | style="text-align:center;" | vm6 | ||
Line 426: | Line 390: | ||
| style="text-align:center;" | leh | | style="text-align:center;" | leh | ||
| style="text-align:center;" | 792.45 | | style="text-align:center;" | 792.45 | ||
| style="text-align:center;" | 128/81 | | style="text-align:center;" | 128/81 | ||
| style="text-align:center;" | m6 | | style="text-align:center;" | m6 | ||
Line 436: | Line 399: | ||
| style="text-align:center;" | le | | style="text-align:center;" | le | ||
| style="text-align:center;" | 815.09 | | style="text-align:center;" | 815.09 | ||
| style="text-align:center;" | 8/5 | | style="text-align:center;" | 8/5 | ||
| style="text-align:center;" | ^m6 | | style="text-align:center;" | ^m6 | ||
Line 446: | Line 408: | ||
| style="text-align:center;" | lu | | style="text-align:center;" | lu | ||
| style="text-align:center;" | 837.74 | | style="text-align:center;" | 837.74 | ||
| style="text-align:center;" | 13/8, 81/50 | | style="text-align:center;" | 13/8, 81/50 | ||
| style="text-align:center;" | v~6 | | style="text-align:center;" | v~6 | ||
Line 456: | Line 417: | ||
| style="text-align:center;" | luh | | style="text-align:center;" | luh | ||
| style="text-align:center;" | 860.38 | | style="text-align:center;" | 860.38 | ||
| style="text-align:center;" | 18/11, 400/243 | | style="text-align:center;" | 18/11, 400/243 | ||
| style="text-align:center;" | ^~6 | | style="text-align:center;" | ^~6 | ||
Line 466: | Line 426: | ||
| style="text-align:center;" | la | | style="text-align:center;" | la | ||
| style="text-align:center;" | 883.02 | | style="text-align:center;" | 883.02 | ||
| style="text-align:center;" | 5/3 | | style="text-align:center;" | 5/3 | ||
| style="text-align:center;" | vM6 | | style="text-align:center;" | vM6 | ||
Line 476: | Line 435: | ||
| style="text-align:center;" | laa | | style="text-align:center;" | laa | ||
| style="text-align:center;" | 905.66 | | style="text-align:center;" | 905.66 | ||
| style="text-align:center;" | 22/13, 27/16 | | style="text-align:center;" | 22/13, 27/16 | ||
| style="text-align:center;" | M6 | | style="text-align:center;" | M6 | ||
Line 486: | Line 444: | ||
| style="text-align:center;" | lo | | style="text-align:center;" | lo | ||
| style="text-align:center;" | 928.30 | | style="text-align:center;" | 928.30 | ||
| style="text-align:center;" | 12/7 | | style="text-align:center;" | 12/7 | ||
| style="text-align:center;" | ^M6 | | style="text-align:center;" | ^M6 | ||
Line 496: | Line 453: | ||
| style="text-align:center;" | law | | style="text-align:center;" | law | ||
| style="text-align:center;" | 950.94 | | style="text-align:center;" | 950.94 | ||
| style="text-align:center;" | 26/15, 125/72 | | style="text-align:center;" | 26/15, 125/72 | ||
| style="text-align:center;" | ^^M6 | | style="text-align:center;" | ^^M6 | ||
Line 512: | Line 468: | ||
| style="text-align:center;" | ta | | style="text-align:center;" | ta | ||
| style="text-align:center;" | 973.58 | | style="text-align:center;" | 973.58 | ||
| style="text-align:center;" | 7/4 | | style="text-align:center;" | 7/4 | ||
| style="text-align:center;" | vm7 | | style="text-align:center;" | vm7 | ||
Line 522: | Line 477: | ||
| style="text-align:center;" | teh | | style="text-align:center;" | teh | ||
| style="text-align:center;" | 996.23 | | style="text-align:center;" | 996.23 | ||
| style="text-align:center;" | 16/9 | | style="text-align:center;" | 16/9 | ||
| style="text-align:center;" | m7 | | style="text-align:center;" | m7 | ||
Line 532: | Line 486: | ||
| style="text-align:center;" | te | | style="text-align:center;" | te | ||
| style="text-align:center;" | 1018.87 | | style="text-align:center;" | 1018.87 | ||
| style="text-align:center;" | 9/5 | | style="text-align:center;" | 9/5 | ||
| style="text-align:center;" | ^m7 | | style="text-align:center;" | ^m7 | ||
Line 542: | Line 495: | ||
| style="text-align:center;" | tu | | style="text-align:center;" | tu | ||
| style="text-align:center;" | 1041.51 | | style="text-align:center;" | 1041.51 | ||
| style="text-align:center;" | 11/6, 20/11, 729/400 | | style="text-align:center;" | 11/6, 20/11, 729/400 | ||
| style="text-align:center;" | v~7 | | style="text-align:center;" | v~7 | ||
Line 552: | Line 504: | ||
| style="text-align:center;" | tuh | | style="text-align:center;" | tuh | ||
| style="text-align:center;" | 1064.15 | | style="text-align:center;" | 1064.15 | ||
| style="text-align:center;" | 13/7, 24/13, 50/27 | | style="text-align:center;" | 13/7, 24/13, 50/27 | ||
| style="text-align:center;" | ^~7 | | style="text-align:center;" | ^~7 | ||
Line 562: | Line 513: | ||
| style="text-align:center;" | ti | | style="text-align:center;" | ti | ||
| style="text-align:center;" | 1086.79 | | style="text-align:center;" | 1086.79 | ||
| style="text-align:center;" | 15/8 | | style="text-align:center;" | 15/8 | ||
| style="text-align:center;" | vM7 | | style="text-align:center;" | vM7 | ||
Line 572: | Line 522: | ||
| style="text-align:center;" | tih | | style="text-align:center;" | tih | ||
| style="text-align:center;" | 1109.43 | | style="text-align:center;" | 1109.43 | ||
| style="text-align:center;" | 40/21, 243/128 | | style="text-align:center;" | 40/21, 243/128 | ||
| style="text-align:center;" | M7 | | style="text-align:center;" | M7 | ||
Line 582: | Line 531: | ||
| style="text-align:center;" | to | | style="text-align:center;" | to | ||
| style="text-align:center;" | 1132.08 | | style="text-align:center;" | 1132.08 | ||
| style="text-align:center;" | 48/25, 27/14 | | style="text-align:center;" | 48/25, 27/14 | ||
| style="text-align:center;" | ^M7 | | style="text-align:center;" | ^M7 | ||
Line 592: | Line 540: | ||
| style="text-align:center;" | taw | | style="text-align:center;" | taw | ||
| style="text-align:center;" | 1154.72 | | style="text-align:center;" | 1154.72 | ||
| style="text-align:center;" | 125/64 | | style="text-align:center;" | 125/64 | ||
| style="text-align:center;" | ^^M7, | | style="text-align:center;" | ^^M7, | ||
Line 608: | Line 555: | ||
| style="text-align:center;" | da | | style="text-align:center;" | da | ||
| style="text-align:center;" | 1177.36 | | style="text-align:center;" | 1177.36 | ||
| style="text-align:center;" | 160/81 | | style="text-align:center;" | 160/81 | ||
| style="text-align:center;" | v8 | | style="text-align:center;" | v8 | ||
Line 618: | Line 564: | ||
| style="text-align:center;" | do | | style="text-align:center;" | do | ||
| style="text-align:center;" | 1200 | | style="text-align:center;" | 1200 | ||
| style="text-align:center;" | 2/1 | | style="text-align:center;" | 2/1 | ||
| style="text-align:center;" | P8 | | style="text-align:center;" | P8 |