Xenharmonic Wiki

39edo: Difference between revisions

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VisualWikitext
clean up (AWB), typos fixed: Therefore → Therefore,, accomodated → accommodated, sytems → systems
No edit summary
Line 24: Line 24:
! | '''Degrees'''
! | '''Degrees'''
! | '''Cents size'''
! | '''Cents size'''
!pions
!7mus
! | '''Armodue note'''
! | '''Armodue note'''
! colspan="3" | [[Ups and Downs Notation|ups and]][[Ups and Downs Notation|downs]]
! colspan="3" | [[Ups and Downs Notation|ups and]][[Ups and Downs Notation|downs]]
Line 32: Line 34:
'''[[Nearest just interval|I]]nterval'''
'''[[Nearest just interval|I]]nterval'''
! | '''Cents value'''
! | '''Cents value'''
!pions
!7mus
! | '''Error'''
! | '''Error'''
! | 11-limit Ratio Assuming
! | 11-limit Ratio Assuming
Line 38: Line 42:
|-
|-
| | 0
| | 0
| | 0
| colspan="3"| 0
| | 1
| | 1
| style="text-align:center;" | P1
| style="text-align:center;" | P1
Line 44: Line 48:
| style="text-align:center;" | D
| style="text-align:center;" | D
| | 1/1
| | 1/1
| | 0
| colspan="3"| 0
| | None
| | None
| | 1/1
| | 1/1
Line 50: Line 54:
| | 1
| | 1
| | 30.7692
| | 30.7692
|32.6154
|39.3846 (27.6276<sub>16</sub>)
| | 1‡ (9#)
| | 1‡ (9#)
| style="text-align:center;" | ^1
| style="text-align:center;" | ^1
Line 56: Line 62:
| | 57/56
| | 57/56
| | 30.6421
| | 30.6421
|32.4806
|39.2219 (27.38CF<sub>16</sub>)
| | +0.1271
| | +0.1271
| |  
| |  
Line 61: Line 69:
| | 2
| | 2
| | 61.5385
| | 61.5385
|65.2308
|78.7692 (4E.C4EC<sub>16</sub>)
| | 2b
| | 2b
| style="text-align:center;" | m2
| style="text-align:center;" | m2
Line 67: Line 77:
| | 29/28
| | 29/28
| | 60.7513
| | 60.7513
|64.3964
|77.76165 (4D.C2FB<sub>16</sub>)
| | +0.7872
| | +0.7872
| |  
| |  
Line 72: Line 84:
| | 3
| | 3
| | 92.3077
| | 92.3077
|97.84615
|118.15385 (76.2762<sub>16</sub>)
| | 1#
| | 1#
| style="text-align:center;" | ^m2
| style="text-align:center;" | ^m2
Line 78: Line 92:
| | 39/37
| | 39/37
| | 91.1386
| | 91.1386
|96.6069
|116.6574 (74.A84E<sub>16</sub>)
| | +1.1691
| | +1.1691
| |  
| |  
Line 83: Line 99:
| | 4
| | 4
| | 123.0769
| | 123.0769
|130.4615
|157.5385 (9D.89D9<sub>16</sub>)
| | 2v
| | 2v
| style="text-align:center;" | v~2
| style="text-align:center;" | v~2
Line 89: Line 107:
| | 44/41
| | 44/41
| | 122.2555
| | 122.2555
|129.5909
|156.4871 (9C.7CB2<sub>16</sub>)
| | +0.8214
| | +0.8214
| |  
| |  
|-
|-
| | 5
| | 5
| | 153.8462
| | 153.84615
|163.0769
|196.9231 (C4.EC4F<sub>16</sub>   
| | 2
| | 2
| style="text-align:center;" | ^~2
| style="text-align:center;" | ^~2
Line 100: Line 122:
| | 35/32
| | 35/32
| | 155.1396
| | 155.1396
|164.448
|198.5787 (C6.9427<sub>16</sub>)
| | -1.2934
| | -1.2934
| | 12/11, 11/10
| | 12/11, 11/10
Line 105: Line 129:
| | 6
| | 6
| | 184.6154
| | 184.6154
|195.6923
|236.3077 (EC.4EC5<sub>16</sub>)
| | 2‡
| | 2‡
| style="text-align:center;" | vM2
| style="text-align:center;" | vM2
Line 111: Line 137:
| | 10/9
| | 10/9
| | 182.4037
| | 182.4037
|193.3479
|233.47675 (E9.7A0C<sub>16</sub>)
| | +2.2117
| | +2.2117
| | 10/9
| | 10/9
Line 116: Line 144:
| | 7'''·'''
| | 7'''·'''
| | 215.3846
| | 215.3846
|228.3077
|275.6923 (113.B13B<sub>16</sub>)
| | 3b
| | 3b
| style="text-align:center;" | M2
| style="text-align:center;" | M2
Line 122: Line 152:
| | 17/15
| | 17/15
| | 216.6867
| | 216.6867
|229.6879
|277.359 (115.5BE5<sub>16</sub>)
| | -1.3021
| | -1.3021
| | 8/7, 9/8
| | 8/7, 9/8
|-
|-
| | 8
| | 8
| | 246.1538
| | 246.15385
|260.9231
|315.0769 (13B.13B1<sub>16</sub>)
| | 2#
| | 2#
| style="text-align:center;" | ^M2,
| style="text-align:center;" | ^M2,
Line 139: Line 173:
| | 15/13
| | 15/13
| | 247.7411
| | 247.7411
|262.6055
|317.10855 (13D.1BCA<sub>16</sub>)
| | -1.5873
| | -1.5873
| |  
| |  
Line 144: Line 180:
| | 9
| | 9
| | 276.9231
| | 276.9231
|293.5385
|354.4615 (162.7627<sub>16</sub>)
| | 3v
| | 3v
| style="text-align:center;" | m3
| style="text-align:center;" | m3
Line 150: Line 188:
| | 27/23
| | 27/23
| | 277.5907
| | 277.5907
|294.2461
|355.316 (163.50E8<sub>16</sub>)
| | -0.6676
| | -0.6676
| | 7/6
| | 7/6
Line 155: Line 195:
| | 10
| | 10
| | 307.6923
| | 307.6923
|326.15385
|393.84615 (189.D89E<sub>16</sub>)
| | 3
| | 3
| style="text-align:center;" | ^m3
| style="text-align:center;" | ^m3
Line 161: Line 203:
| | 43/36
| | 43/36
| | 307.6077
| | 307.6077
|326.0642
|393.7379 (189.BCE4<sub>16</sub>)
| | +0.0846
| | +0.0846
| | 6/5
| | 6/5
Line 166: Line 210:
| | 11
| | 11
| | 338.4615
| | 338.4615
|358.7692
|433.2308 (1B1.3B14<sub>16</sub>)
| | 3‡
| | 3‡
| style="text-align:center;" | v~3
| style="text-align:center;" | v~3
Line 172: Line 218:
| | 17/14
| | 17/14
| | 336.1295
| | 336.1295
|356.2973
|430.2458 (1AE.3EEA<sub>16</sub>)
| | +2.332
| | +2.332
| | 11/9
| | 11/9
Line 177: Line 225:
| | 12'''·'''
| | 12'''·'''
| | 369.2308
| | 369.2308
|391.3846
|472.6154 (1D8.9D8A<sub>16</sub>)
| | 4b
| | 4b
| style="text-align:center;" | ^~3
| style="text-align:center;" | ^~3
Line 183: Line 233:
| | 26/21
| | 26/21
| | 369.7468
| | 369.7468
|391.9316
|473.27585 (1D9.469E<sub>16</sub>)
| | -0.516
| | -0.516
| |  
| |  
Line 188: Line 240:
| | 13
| | 13
| | 400
| | 400
|424
|512 (200<sub>16</sub>)
| | 3#
| | 3#
| style="text-align:center;" | vM3
| style="text-align:center;" | vM3
Line 194: Line 248:
| | 34/27
| | 34/27
| | 399.0904
| | 399.0904
|423.0358
|510.8357 (1FE.D5F2<sub>16</sub>)
| | +0.9096
| | +0.9096
| | 5/4
| | 5/4
Line 199: Line 255:
| | 14
| | 14
| | 430.7692
| | 430.7692
|456.6154
|551.3846 (227.6276<sub>16</sub>)
| | 4v (5b)
| | 4v (5b)
| style="text-align:center;" | M3
| style="text-align:center;" | M3
Line 205: Line 263:
| | 41/32
| | 41/32
| | 429.0624
| | 429.0624
|454.80615
|549.1999 (225.332B<sub>16</sub>)
| | +1.7068
| | +1.7068
| | 9/7, 14/11
| | 9/7, 14/11
Line 210: Line 270:
| | 15
| | 15
| | 461.5385
| | 461.5385
|489.2308
|590.7692 (24E.C4EC<sub>16</sub>)
| | 4
| | 4
| style="text-align:center;" | v4
| style="text-align:center;" | v4
Line 216: Line 278:
| | 30/23
| | 30/23
| | 459.9944
| | 459.9944
|487.594
|588.7928 (24C.CAF4<sub>16</sub>)
| | +1.5441
| | +1.5441
| |  
| |  
Line 221: Line 285:
| | 16
| | 16
| | 492.3077
| | 492.3077
|521.84615
|630.15385 (276.2762<sub>16</sub>)
| | 4‡ (5v)
| | 4‡ (5v)
| style="text-align:center;" | P4
| style="text-align:center;" | P4
Line 227: Line 293:
| | 85/64
| | 85/64
| | 491.2691
| | 491.2691
|520.7453
|628.8245 (274.D311<sub>16</sub>)
| | +1.0386
| | +1.0386
| | 4/3
| | 4/3
Line 232: Line 300:
| | 17'''·'''
| | 17'''·'''
| | 523.0769
| | 523.0769
|554.4615
|669.5385 (29D.89D9<sub>16</sub>)
| | 5
| | 5
| style="text-align:center;" | ^4
| style="text-align:center;" | ^4
Line 238: Line 308:
| | 23/17
| | 23/17
| | 523.3189
| | 523.3189
|554.7181
|669.8482 (29D.D926<sub>16</sub>)
| | -0.242
| | -0.242
| |  
| |  
Line 243: Line 315:
| | 18
| | 18
| | 553.8462
| | 553.8462
|587.0769
|708.9231 (2C4.EC4D<sub>16</sub>)
| | 5‡ (4#)
| | 5‡ (4#)
| style="text-align:center;" | ^^4
| style="text-align:center;" | ^^4
Line 249: Line 323:
| | 11/8
| | 11/8
| | 551.3179
| | 551.3179
|584.397
|705.687 (2C1.AFDD<sub>16</sub>)
| | +2.5283
| | +2.5283
| | 11/8
| | 11/8
Line 254: Line 330:
| | 19
| | 19
| | 584.6154
| | 584.6154
|619.6923
|748.3077 (2EC.4EC5<sub>16</sub>)
| | 6b
| | 6b
| style="text-align:center;" | vvA4,
| style="text-align:center;" | vvA4,


^d5
^d5
| style="text-align:center;" | double-down aug
| style="text-align:center;" | double-down aug 4th,  
 
updim 5th
4th, updim 5th
| style="text-align:center;" | G#vv,
| style="text-align:center;" | G#vv,


Line 266: Line 343:
| | 7/5
| | 7/5
| | 582.5122
| | 582.5122
|617.4629
|745.6156 (2E9.9D98<sub>16</sub>)
| | +2.1032
| | +2.1032
| | 7/5
| | 7/5
Line 271: Line 350:
| | 20
| | 20
| | 615.3846
| | 615.3846
|652.3077
|787.6923 (313.B13B<sub>16</sub>)
| | 5#
| | 5#
| style="text-align:center;" | vA4,
| style="text-align:center;" | vA4,
Line 283: Line 364:
| | 10/7
| | 10/7
| | 617.4878
| | 617.4878
|654.5371
|790.3844 (316.6268<sub>16</sub>)
| | -2.1032
| | -2.1032
| | 10/7
| | 10/7
Line 288: Line 371:
| | 21
| | 21
| | 646.1538
| | 646.1538
|684.9231
|827.0769 (33B.13B1<sub>16</sub>)
| | 6v
| | 6v
| style="text-align:center;" | vv5
| style="text-align:center;" | vv5
Line 294: Line 379:
| | 16/11
| | 16/11
| | 648.6821
| | 648.6821
|687.603
|830.313 (33E.5023<sub>16</sub>)
| | -2.5283
| | -2.5283
| | 16/11
| | 16/11
Line 299: Line 386:
| | 22'''·'''
| | 22'''·'''
| | 676.9231
| | 676.9231
|717.5385
|866.4615 (362.7627<sub>16</sub>)
| | 6
| | 6
| style="text-align:center;" | v5
| style="text-align:center;" | v5
Line 305: Line 394:
| | 34/23
| | 34/23
| | 676.6811
| | 676.6811
|717.2819
|866.1518 (362.26DA<sub>16</sub>)
| | +0.242
| | +0.242
| |  
| |  
Line 310: Line 401:
| | 23
| | 23
| | 707.6923
| | 707.6923
|750.15385
|905.84615 (389.D89E<sub>16</sub>)
| | 6‡
| | 6‡
| style="text-align:center;" | P5
| style="text-align:center;" | P5
Line 316: Line 409:
| | 128/85
| | 128/85
| | 708.7309
| | 708.7309
|751.2547
|907.1755 (38B.2CDE<sub>16</sub>)
| | -1.0386
| | -1.0386
| | 3/2
| | 3/2
Line 321: Line 416:
| | 24
| | 24
| | 738.4615
| | 738.4615
|782.7692
|945.2308 (3B1.3B14<sub>16</sub>)
| | 7b
| | 7b
| style="text-align:center;" | ^5
| style="text-align:center;" | ^5
Line 327: Line 424:
| | 23/15
| | 23/15
| | 740.0056
| | 740.0056
|784.406
|947.2072 (3B3.350C<sub>16</sub>)
| | -1.5441
| | -1.5441
| |  
| |  
Line 332: Line 431:
| | 25
| | 25
| | 769.2308
| | 769.2308
|815.3846
|984.6154 (3D8.9D8A<sub>16</sub>)
| | 6#
| | 6#
| style="text-align:center;" | m6
| style="text-align:center;" | m6
Line 338: Line 439:
| | 64/41
| | 64/41
| | 770.9376
| | 770.9376
|817.19385
|986.7991 (3DA.CCD4<sub>16</sub>)
| | -1.7068
| | -1.7068
| | 14/9, 11/7
| | 14/9, 11/7
Line 343: Line 446:
| | 26
| | 26
| | 800
| | 800
|848
|1024 (400<sub>16</sub>)
| | 7v
| | 7v
| style="text-align:center;" | ^m6
| style="text-align:center;" | ^m6
Line 349: Line 454:
| | 27/17
| | 27/17
| | 800.9096
| | 800.9096
|848.9642
|1025.1643 (401.2A0E<sub>16</sub>)
| | -0.9096
| | -0.9096
| | 8/5
| | 8/5
Line 354: Line 461:
| | 27'''·'''
| | 27'''·'''
| | 830.7692
| | 830.7692
|880.6154
|1063.3846 (427.6276<sub>16</sub>)
| | 7
| | 7
| style="text-align:center;" | v~6
| style="text-align:center;" | v~6
Line 360: Line 469:
| | 21/13
| | 21/13
| | 830.2532
| | 830.2532
|880.0784
|1062.72415 (426.B962<sub>16</sub>)
| | +0.516
| | +0.516
| |  
| |  
Line 365: Line 476:
| | 28
| | 28
| | 861.5385
| | 861.5385
|913.2308
|1102.7692 (44E.C4EC<sub>16</sub>)
| | 7‡
| | 7‡
| style="text-align:center;" | ^~6
| style="text-align:center;" | ^~6
Line 371: Line 484:
| | 28/17
| | 28/17
| | 863.8705
| | 863.8705
|915.7127
|1105.7542 (451.C116<sub>16</sub>)
| | -2.332
| | -2.332
| | 18/11
| | 18/11
Line 376: Line 491:
| | 29
| | 29
| | 892.3077
| | 892.3077
|945.84615
|1142.15385 (476.2762<sub>16</sub>)
| | 8b
| | 8b
| style="text-align:center;" | vM6
| style="text-align:center;" | vM6
Line 382: Line 499:
| | 72/43
| | 72/43
| | 892.3923
| | 892.3923
|945.9358
|1142.2621 (476.431B<sub>16</sub>)
| | -0.0846
| | -0.0846
| | 5/3
| | 5/3
Line 387: Line 506:
| | 30
| | 30
| | 923.0769
| | 923.0769
|978.4615
|1181.5385 (49D.89D9<sub>16</sub>)
| | 7#
| | 7#
| style="text-align:center;" | M6
| style="text-align:center;" | M6
Line 393: Line 514:
| | 46/27
| | 46/27
| | 922.4093
| | 922.4093
|977.7539
|1180.684 (49C.AF18<sub>16</sub>)
| | +0.6676
| | +0.6676
| | 12/7
| | 12/7
Line 398: Line 521:
| | 31
| | 31
| | 953.8462
| | 953.8462
|1011.0769
|1220.9231 (4C4.EC4D<sub>16</sub>)
| | 8v
| | 8v
| style="text-align:center;" | ^M6,
| style="text-align:center;" | ^M6,
Line 410: Line 535:
| | 26/15
| | 26/15
| | 952.2589
| | 952.2589
|1009.3945
|1218.89145 (4C2.E453<sub>16</sub>)
| | +1.5873
| | +1.5873
| |  
| |  
Line 415: Line 542:
| | 32'''·'''
| | 32'''·'''
| | 984.6154
| | 984.6154
|1043.6923
|1260.3077 (4EC.4EC5<sub>16</sub>)
| | 8
| | 8
| style="text-align:center;" | m7
| style="text-align:center;" | m7
Line 421: Line 550:
| | 30/17
| | 30/17
| | 983.3133
| | 983.3133
|1042.3121
|1258.641 (4EA.A41B<sub>16</sub>)
| | +1.3021
| | +1.3021
| | 7/4, 16/9
| | 7/4, 16/9
Line 426: Line 557:
| | 33
| | 33
| | 1015.3846
| | 1015.3846
|1076.3077
|1299.6923 (513.B13B<sub>16</sub>)
| | 8‡
| | 8‡
| style="text-align:center;" | ^m7
| style="text-align:center;" | ^m7
Line 432: Line 565:
| | 9/5
| | 9/5
| | 1017.5963
| | 1017.5963
|1079.6521
|1302.52325 (516.85F3<sub>16</sub>)
| | -2.2117
| | -2.2117
| | 9/5
| | 9/5
Line 437: Line 572:
| | 34
| | 34
| | 1046.1538
| | 1046.1538
|1108.9231
|1339.0769 (53B.13B1<sub>16</sub>)
| | 9b
| | 9b
| style="text-align:center;" | v~7
| style="text-align:center;" | v~7
Line 443: Line 580:
| | 64/35
| | 64/35
| | 1044.8604
| | 1044.8604
|1107.552
|1337.4213 (539.6BD8<sub>16</sub>)
| | +1.2934
| | +1.2934
| | 11/6, 20/11
| | 11/6, 20/11
Line 448: Line 587:
| | 35
| | 35
| | 1076.9231
| | 1076.9231
|1141.5385
|1378.4615 (562.7627<sub>16</sub>)
| | 8#
| | 8#
| style="text-align:center;" | ^~7
| style="text-align:center;" | ^~7
Line 454: Line 595:
| | 41/22
| | 41/22
| | 1077.7445
| | 1077.7445
|1142.4091
|1379.5129 (563.8834D<sub>16</sub>)
| | -0.8214
| | -0.8214
| |  
| |  
Line 459: Line 602:
| | 36
| | 36
| | 1107.6923
| | 1107.6923
|1174.15385
|1417.84615 (589.D89E<sub>16</sub>)
| | 9v (1b)
| | 9v (1b)
| style="text-align:center;" | vM7
| style="text-align:center;" | vM7
Line 465: Line 610:
| | 74/39
| | 74/39
| | 1108.8614
| | 1108.8614
|1175.3931
|1419.3426 (58B.48A2<sub>16</sub>)
| | -1.1691
| | -1.1691
| |  
| |  
Line 470: Line 617:
| | 37
| | 37
| | 1138.4615
| | 1138.4615
|1206.7692
|1457.2308 (5B1.3B14<sub>16</sub>)
| | 9
| | 9
| style="text-align:center;" | M7
| style="text-align:center;" | M7
Line 476: Line 625:
| | 56/29
| | 56/29
| | 1139.2487
| | 1139.2487
|1207.6036
|1459.23835 (5A3.2C05<sub>16</sub>)
| | -0.7872
| | -0.7872
| |  
| |  
Line 481: Line 632:
| | 38
| | 38
| | 1169.2308
| | 1169.2308
|1239.3846
|1496.6154 (5D8.9D8A<sub>16</sub>)
| | 9‡ (1v)
| | 9‡ (1v)
| style="text-align:center;" | v8
| style="text-align:center;" | v8
Line 487: Line 640:
| | 112/57
| | 112/57
| | 1169.3579
| | 1169.3579
|1239.5194
|1496.7781 (5C8.C736<sub>16</sub>)
| | -0.1271
| | -0.1271
| |  
| |  
Line 492: Line 647:
| | 39'''··'''(or 0)
| | 39'''··'''(or 0)
| | 1200
| | 1200
|1272
|1536 (600<sub>16</sub>)
| | 1
| | 1
| style="text-align:center;" | P8
| style="text-align:center;" | P8
Line 498: Line 655:
| | 2/1
| | 2/1
| | 1200
| | 1200
|1272
|1536 (600<sub>16</sub>)
| | None
| | None
| |  
| |  
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