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34edo: Difference between revisions

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→Intervals: Removed pions columns and most 7mus columns
Line 118: Line 118:
! rowspan="2" |Solfege
! rowspan="2" |Solfege
! colspan="4" | Cents
! colspan="4" | Cents
! colspan="4" |pions
!7mus
! colspan="4" |7mus
! rowspan="2" | approx. ratios of
! rowspan="2" | approx. ratios of


Line 133: Line 132:
!48:49:50-WT
!48:49:50-WT
!Pure octave
!Pure octave
!45ed(7φ+6)\(5φ^2)
!2ed25/24
!48:49:50-WT
!Pure octave
!45ed(7φ+6)\(5φ^2)
!2ed25/24
!48:49:50-WT
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| style="text-align:center;" | do
| style="text-align:center;" | do
| colspan="12" style="text-align:right;" | 0<span style="color: #fff;">.000</span>
| colspan="4" style="text-align:right;" | 0<span style="color: #fff;">.000</span>
|0
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 156: Line 149:
|35.336
|35.336
|35.697
|35.697
|37.412
|37.414
|37.456
|37.839
|45.1765 (2D.2D2<sub>16</sub>)
|45.1765 (2D.2D2<sub>16</sub>)
|45.179 (2D.2DE<sub>16</sub>)
|45.23 (2D.3AF8<sub>16</sub>)
|45.691 (2D.B12<sub>16</sub>)
| style="text-align:center;" | 128/125 ([[128/125|diesis]]), 51/50
| style="text-align:center;" | 128/125 ([[128/125|diesis]]), 51/50
| style="text-align:center;" | 50/49, 49/48
| style="text-align:center;" | 50/49, 49/48
Line 175: Line 161:
|70.592
|70.592
| colspan="2" |70.672
| colspan="2" |70.672
|74.8235
|74.828
| colspan="2" |74.913
|90.353 (5A.5A5<sub>16</sub>)
|90.353 (5A.5A5<sub>16</sub>)
|90.358 (5A.5BB<sub>16</sub>)
| colspan="2" |90.461 (5A.75F<sub>16</sub>)
| style="text-align:center;" | 25/24, 648/625 ([[648/625|large diesis]])
| style="text-align:center;" | 25/24, 648/625 ([[648/625|large diesis]])
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 193: Line 174:
|106.008
|106.008
|106.369
|106.369
|111.235
|112.242
|112.369
|112.751
|135.529 (87.8788<sub>16</sub>)
|135.529 (87.8788<sub>16</sub>)
|135.537 (87.899<sub>16</sub>)
|135.691 (87.B0F<sub>16</sub>)
|136.153 (88.271<sub>16</sub>)
| style="text-align:center;" | 17/16, 18/17, 16/15
| style="text-align:center;" | 17/16, 18/17, 16/15
| style="text-align:center;" | 15/14
| style="text-align:center;" | 15/14
Line 212: Line 186:
|141.185
|141.185
| colspan="2" |141.345
| colspan="2" |141.345
|149.647
|149.656
| colspan="2" |149.8255
|180.706 (B4.B4B<sub>16</sub>)
|180.706 (B4.B4B<sub>16</sub>)
|180.716 (B4.B77<sub>16</sub>)
| colspan="2" |180.921 (B4.EBE<sub>16</sub>)
| style="text-align:center;" | 13/12
| style="text-align:center;" | 13/12
| style="text-align:center;" | 14/13, 12/11
| style="text-align:center;" | 14/13, 12/11
Line 230: Line 199:
|176.681
|176.681
|177.042
|177.042
|187.059
|187.07
|187.282
|187.664
|225.882 (E1.E1E<sub>16</sub>)
|225.882 (E1.E1E<sub>16</sub>)
|225.896 (E1.E54<sub>16</sub>)
|226.152 (E2.26E<sub>16</sub>)
|226.613 (E2.9D<sub>16</sub>)
| style="text-align:center;" | 10/9
| style="text-align:center;" | 10/9
| style="text-align:center;" | 11/10
| style="text-align:center;" | 11/10
Line 249: Line 211:
|211.777
|211.777
| colspan="2" |212.017
| colspan="2" |212.017
|224.471
|224.484
| colspan="2" |224.738
|271.059 (10F.0F1<sub>16</sub>)
|271.059 (10F.0F1<sub>16</sub>)
|271.075 (10F.132<sub>16</sub>)
| colspan="2" |271.382 (10F.61D<sub>16</sub>)
| style="text-align:center;" | 9/8, 17/15
| style="text-align:center;" | 9/8, 17/15
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 267: Line 224:
|247.3535
|247.3535
|247.714
|247.714
|261.882
|261.898
|262.195
|262.577
|326.235 (13C.3C3<sub>16</sub>)
|326.235 (13C.3C3<sub>16</sub>)
|316.254 (13C.40F8<sub>16</sub>)
|316.6125 (13C.7EA<sub>16</sub>)
|317.074 (13D.12F<sub>16</sub>)
| style="text-align:center;" | 15/13
| style="text-align:center;" | 15/13
| style="text-align:center;" | 8/7
| style="text-align:center;" | 8/7
Line 286: Line 236:
|282.3695
|282.3695
| colspan="2" |282.69
| colspan="2" |282.69
|299.294
|299.312
| colspan="2" |299.651
|361.412 (169.696<sub>16</sub>)
|361.412 (169.696<sub>16</sub>)
|361.433 (169.6ED<sub>16</sub>)
| colspan="2" |361.843 (169.D7C<sub>16</sub>)
| style="text-align:center;" | 20/17, 75/64
| style="text-align:center;" | 20/17, 75/64
| style="text-align:center;" | 7/6, 13/11
| style="text-align:center;" | 7/6, 13/11
Line 304: Line 249:
|318.026
|318.026
|318.3865
|318.3865
|336.706
|336.726
|337.1075
|337.49
|406.588 (196.969<sub>16</sub>)
|406.588 (196.969<sub>16</sub>)
|406.612 (196.9CB<sub>16</sub>)
|407.073 (197.12C<sub>16</sub>)
|407.535 (197.88E<sub>16</sub>)
| style="text-align:center;" | 6/5
| style="text-align:center;" | 6/5
| style="text-align:center;" | 17/14
| style="text-align:center;" | 17/14
Line 323: Line 261:
|352.962
|352.962
| colspan="2" |353.362
| colspan="2" |353.362
|374.118
|374.1395
| colspan="2" |374.564
|451.765 (1C3.C3C<sub>16</sub>)
|451.765 (1C3.C3C<sub>16</sub>)
|451.791 (1C3.CA8<sub>16</sub>)
| colspan="2" |452.3035 (1C4.4DB<sub>16</sub>)
| style="text-align:center;" | 16/13
| style="text-align:center;" | 16/13
| style="text-align:center;" | 11/9
| style="text-align:center;" | 11/9
Line 341: Line 274:
|388.698
|388.698
|389.059
|389.059
|411.529
|411.5535
|412.02
|412.4025
|496.941 (1F0.F0F<sub>16</sub>)
|496.941 (1F0.F0F<sub>16</sub>)
|496.97 (1F0.F86<sub>16</sub>)
|497.534 (1F1.88B<sub>16</sub>)
|497.9955 (1F1.FED<sub>16</sub>)
| style="text-align:center;" | 5/4
| style="text-align:center;" | 5/4
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 360: Line 286:
|423.554
|423.554
| colspan="2" |424.035
| colspan="2" |424.035
|448.941
|448.967
| colspan="2" |449.477
|542.118 (21E.1E1<sub>16</sub>)
|542.118 (21E.1E1<sub>16</sub>)
|542.149 (21E.264<sub>16</sub>)
| colspan="2" |542.764 (21E.C3A<sub>16</sub>)
| style="text-align:center;" | [[51/40|51/40]], 32/25
| style="text-align:center;" | [[51/40|51/40]], 32/25
| style="text-align:center;" | 14/11, 9/7
| style="text-align:center;" | 14/11, 9/7
Line 378: Line 299:
|459.371
|459.371
|459.731
|459.731
|486.353
|486.381
|486.933
|487.315
|587.294 (24B.4B4<sub>16</sub>)
|587.294 (24B.4B4<sub>16</sub>)
|587.3285 (24B.541<sub>16</sub>)
|587.995 (24B.FEA<sub>16</sub>)
|588.456 (24C.74C<sub>16</sub>)
| style="text-align:center;" | 13/10, 17/13
| style="text-align:center;" | 13/10, 17/13
| style="text-align:center;" | 22/17
| style="text-align:center;" | 22/17
Line 397: Line 311:
|494.1465
|494.1465
| colspan="2" |494.707
| colspan="2" |494.707
|523.765
|523.795
| colspan="2" |524.389
|632.471 (278.7878<sub>16</sub>)
|632.471 (278.7878<sub>16</sub>)
|632.508 (278.81F<sub>16</sub>)
| colspan="2" |633.225 (279.39A<sub>16</sub>)
| style="text-align:center;" | 4/3
| style="text-align:center;" | 4/3
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 415: Line 324:
|530.043
|530.043
|530.40
|530.40
|561.1765
|561.209
|561.846
|562.228
|677.647 (2A5.A5A<sub>16</sub>)
|677.647 (2A5.A5A<sub>16</sub>)
|677.687 (2A5.AFD<sub>16</sub>)
|678.455 (2A6.749<sub>16</sub>)
|678.917 (2A6.EAB8<sub>16</sub>)
| style="text-align:center;" |512/375, 34/25
| style="text-align:center;" |512/375, 34/25
| style="text-align:center;" | 15/11
| style="text-align:center;" | 15/11
Line 434: Line 336:
|564.739
|564.739
| colspan="2" |565.379
| colspan="2" |565.379
|598.588
|598.623
| colspan="2" |599.302
|722.8235 (2D2.D2D<sub>16</sub>)
|722.8235 (2D2.D2D<sub>16</sub>)
|722.866 (2D2.DDA<sub>16</sub>)
| colspan="2" |723.686 (2D3.AF8<sub>16</sub>)
| style="text-align:center;" | 36/25, 18/13
| style="text-align:center;" | 36/25, 18/13
| style="text-align:center;" | 11/8
| style="text-align:center;" | 11/8
Line 452: Line 349:
|600.716
|600.716
|601.076
|601.076
|636
|636.037
|636.758
|637.141
|768 (300<sub>16</sub>)
|768 (300<sub>16</sub>)
|768.045 (300.0B8<sub>16</sub>)
|768.916 (300.EA8<sub>16</sub>)
|769.378 (301.60A8<sub>16</sub>)
| style="text-align:center;" | 17/12, 24/17
| style="text-align:center;" | 17/12, 24/17
| style="text-align:center;" | 7/5, 10/7
| style="text-align:center;" | 7/5, 10/7
Line 471: Line 361:
|635.331
|635.331
| colspan="2" |636.052
| colspan="2" |636.052
|673.412
|673.451
| colspan="2" |674.215
|813.1765 (32D.2D2<sub>16</sub>)
|813.1765 (32D.2D2<sub>16</sub>)
|813.224 (32D.396<sub>16</sub>)
| colspan="2" |814.146 (32E.2578<sub>16</sub>)
| style="text-align:center;" | 25/18, 13/9
| style="text-align:center;" | 25/18, 13/9
| style="text-align:center;" | 16/11
| style="text-align:center;" | 16/11
Line 489: Line 374:
|671.388
|671.388
|671.749
|671.749
|710.8235
|710.865
|711.671
|712.054
|858.353 (35A.5A5<sub>16</sub>)
|858.353 (35A.5A5<sub>16</sub>)
|858.403 (35A.673<sub>16</sub>)
|859.377 (35B.607<sub>16</sub>)
|859.838 (35B.D6A<sub>16</sub>)
| style="text-align:center;" |375/256, 25/17
| style="text-align:center;" |375/256, 25/17
| style="text-align:center;" | 22/15
| style="text-align:center;" | 22/15
Line 508: Line 386:
|705.924
|705.924
| colspan="2" |706.724
| colspan="2" |706.724
|748.235
|748.279
| colspan="2" |749.128
|903.529 (387.8788<sub>16</sub>)
|903.529 (387.8788<sub>16</sub>)
|903.582 (387.951<sub>16</sub>)
| colspan="2" |904.607 (388.9B7<sub>16</sub>)
| style="text-align:center;" | 3/2
| style="text-align:center;" | 3/2
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 526: Line 399:
|742.0605
|742.0605
|742.421
|742.421
|785.647
|785.693
|786.584
|786.966
|948.706 (3B4.B4B<sub>16</sub>)
|948.706 (3B4.B4B<sub>16</sub>)
|948.761 (3B4.C2E8<sub>16</sub>)
|949.837 (3B5.D66<sub>16</sub>)
|950.299 (3B6.4C9<sub>16</sub>)
| style="text-align:center;" | 20/13, 26/17
| style="text-align:center;" | 20/13, 26/17
| style="text-align:center;" | 17/11
| style="text-align:center;" | 17/11
Line 545: Line 411:
|776.516
|776.516
| colspan="2" |777.397
| colspan="2" |777.397
|823.059
|823.107
| colspan="2" |824.0405
|993.882 (3E1.E1E<sub>16</sub>)
|993.882 (3E1.E1E<sub>16</sub>)
|993.9405 (3E1.F0C<sub>16</sub>)
| colspan="2" |995.068 (3E3.116<sub>16</sub>)
| style="text-align:center;" | 25/16, 80/51
| style="text-align:center;" | 25/16, 80/51
| style="text-align:center;" | 14/9
| style="text-align:center;" | 14/9
Line 563: Line 424:
|812.733
|812.733
|813.0935
|813.0935
|860.471
|860.521
|861.497
|861.879
|1039.059 (40F.0F1<sub>16</sub>)
|1039.059 (40F.0F1<sub>16</sub>)
|1039.12 (40F.1EA<sub>16</sub>)
|1040.298 (410.4C5<sub>16</sub>)
|1040.76 (410.C28<sub>16</sub>)
| style="text-align:center;" | 8/5
| style="text-align:center;" | 8/5
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 582: Line 436:
|847.108
|847.108
| colspan="2" |848.069
| colspan="2" |848.069
|897.882
|897.935
| colspan="2" |898.953
|1084.235 (43C.3C3<sub>16</sub>)
|1084.235 (43C.3C3<sub>16</sub>)
|1084.299 (43C.4C7<sub>16</sub>)
| colspan="2" |1085.5285 (43D.874<sub>16</sub>)
| style="text-align:center;" | 13/8
| style="text-align:center;" | 13/8
| style="text-align:center;" | 18/11
| style="text-align:center;" | 18/11
Line 600: Line 449:
|883.405
|883.405
|883.766
|883.766
|935.294
|935.349
|936.41
|936.792
|1129.412 (469.696<sub>16</sub>)
|1129.412 (469.696<sub>16</sub>)
|1129.478 (469.7A5<sub>16</sub>)
|1130.759 (46A.C42<sub>16</sub>)
|1131.22 (46B.387<sub>16</sub>)
| style="text-align:center;" | 5/3
| style="text-align:center;" | 5/3
| style="text-align:center;" | 28/17
| style="text-align:center;" | 28/17
Line 619: Line 461:
|917.701
|917.701
| colspan="2" |918.7415
| colspan="2" |918.7415
|972.706
|972.763
| colspan="2" |973.866
|1174.588 (496.969<sub>16</sub>)
|1174.588 (496.969<sub>16</sub>)
|1174.657 (496.A83<sub>16</sub>)
| colspan="2" |1175.989 (497.FD4<sub>16</sub>)
| style="text-align:center;" | [[17/10|17/10]]
| style="text-align:center;" | [[17/10|17/10]]
| style="text-align:center;" | 12/7, 22/13
| style="text-align:center;" | 12/7, 22/13
Line 637: Line 474:
|954.078
|954.078
|954.438
|954.438
|1010.118
|1010.177
|1011.322
|1011.705
|1219.765 (4C3.C3C<sub>16</sub>)
|1219.765 (4C3.C3C<sub>16</sub>)
|1219.836 (4C3.D6<sub>16</sub>)
|1221.2195 (4C5.383<sub>16</sub>)
|1221.681 (4C5.AE6<sub>16</sub>)
| style="text-align:center;" | 26/15
| style="text-align:center;" | 26/15
| style="text-align:center;" | 7/4
| style="text-align:center;" | 7/4
Line 656: Line 486:
|988.293
|988.293
| colspan="2" |989.414
| colspan="2" |989.414
|1047.529
|1047.591
| colspan="2" |1048.779
|1264.941 (4F0.F0F<sub>16</sub>)
|1264.941 (4F0.F0F<sub>16</sub>)
|1265.015 (4F1.03E<sub>16</sub>)
| colspan="2" |1266.45 (4F2.733<sub>16</sub>)
| style="text-align:center;" | 16/9, 30/17
| style="text-align:center;" | 16/9, 30/17
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 674: Line 499:
|1024.75
|1024.75
|1025.111
|1025.111
|1084.941
|1085.005
|1086.235
|1086.617
|1310.118 (51E.1E1<sub>16</sub>)
|1310.118 (51E.1E1<sub>16</sub>)
|1310.194 (51E.31C<sub>16</sub>)
|1311.68 (51F.AE2<sub>16</sub>)
|1312.142 (520.245<sub>16</sub>)
| style="text-align:center;" | 9/5
| style="text-align:center;" | 9/5
| style="text-align:center;" | 20/11
| style="text-align:center;" | 20/11
Line 693: Line 511:
|1058.885
|1058.885
| colspan="2" |1060.086
| colspan="2" |1060.086
|1122.353
|1122.419
| colspan="2" |1123.692
|1355.294 (54B.4B4<sub>16</sub>)
|1355.294 (54B.4B4<sub>16</sub>)
|1355.373 (54B.5F9<sub>16</sub>)
| colspan="2" |1356.911 (54C.E91<sub>16</sub>)
| style="text-align:center;" | 24/13
| style="text-align:center;" | 24/13
| style="text-align:center;" | 13/7, 11/6
| style="text-align:center;" | 13/7, 11/6
Line 711: Line 524:
|1095.423
|1095.423
|1095.783
|1095.783
|1149.765
|1159.8325
|1161.148
|1161.53
|1400.471 (578.7878<sub>16</sub>)
|1400.471 (578.7878<sub>16</sub>)
|1400.5525 (578.8D7<sub>16</sub>)
|1402.141 (57A.241<sub>16</sub>)
|1402.6025 (57A.9A4<sub>16</sub>)
| style="text-align:center;" | 32/17, 17/9, 15/8
| style="text-align:center;" | 32/17, 17/9, 15/8
| style="text-align:center;" | 28/15
| style="text-align:center;" | 28/15
Line 730: Line 536:
|1129.478
|1129.478
| colspan="2" |1130.759
| colspan="2" |1130.759
|1197.1765
|1197.2465
| colspan="2" |1198.604
|1445.647 (5A5.A5A<sub>16</sub>)
|1445.647 (5A5.A5A<sub>16</sub>)
|1445.732 (5A5.BB5<sub>16</sub>)
| colspan="2" |1447.371 (5A7.5F1<sub>16</sub>)
| style="text-align:center;" | 48/25, 625/324
| style="text-align:center;" | 48/25, 625/324
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 748: Line 549:
|1166.095
|1166.095
|1166.456
|1166.456
|1234.588
|1234.66
|1236.061
|1236.443
|1490.8235 (5D2.D2D<sub>16</sub>)
|1490.8235 (5D2.D2D<sub>16</sub>)
|1490.911 (5D2.E92<sub>16</sub>)
|1492.602 (5D4.9A1<sub>16</sub>)
|1493.063 (5D5.103<sub>16</sub>)
| style="text-align:center;" | 125/64, 100/51
| style="text-align:center;" | 125/64, 100/51
| style="text-align:center;" | 49/25, 96/49
| style="text-align:center;" | 49/25, 96/49
Line 767: Line 561:
|1200.07
|1200.07
| colspan="2" |1201.431
| colspan="2" |1201.431
|1272
|1272.074
| colspan="2" |1273.52
|1536 (600<sub>16</sub>)
|1536 (600<sub>16</sub>)
|1536.09 (600.17<sub>16</sub>)
| colspan="2" |1537.832 (601.D5<sub>16</sub>)
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
| style="text-align:center;" |  
| style="text-align:center;" |  
Retrieved from "https://en.xen.wiki/w/34edo"