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.
Line 20: Line 20:
! | solfege
! | solfege
! | cents
! | cents
!pions
! | 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
|0
| 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
|24
| 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
|48
| 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
|72
| 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
|96
| 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
|120
| 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
|144
| 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
|168
| 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
|192
| 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
|216
| 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
|240
| 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
|264
| 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
|288
| 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
|312
| 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
|336
| 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
|360
| 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
|384
| 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
|408
| 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
|432
| 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
|456
| 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
|480
| 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
|504
| 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
|528
| 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
|552
| 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
|576
| 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
|600
| 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
|624
| 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
|648
| 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
|672
| 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
|696
| 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
|720
| 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
|744
| 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
|768
| 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
|792
| 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
|816
| 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
|840
| 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
|864
| 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
|888
| 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
|912
| 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
|936
| 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
|960
| 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
|984
| 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
|1008
| 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
|1032
| 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
|1056
| 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
|1080
| 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
|1104
| 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
|1128
| 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
|1152
| 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
|1176
| 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
|1200
| 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
|1224
| 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
|1248
| 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
|1272
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
| style="text-align:center;" | P8
| style="text-align:center;" | P8