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34edo: Difference between revisions

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TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
updated ups/down notation, added color names to the comma list, general cleanup
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
Deleted the cents columns labeled 45ed(7φ+6)\(5φ^2), 2ed25/24, and 48:49:50-WT, which divide the octave into 1200.07, 1201.431 and 1202.152 parts respectively, because they are confusingly close to the usual cents.
Line 5: Line 5:
{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degree
!Degree
! rowspan="2" |Solfege
!Solfege
! colspan="4" | Cents
! Cents
! rowspan="2" | approx. ratios of
! approx. ratios of


2.3.5.13.17 [[subgroup|subgroup]]
2.3.5.13.17 [[subgroup|subgroup]]
! rowspan="2" | additional ratios
! additional ratios


of 7 and 11
of 7 and 11
! colspan="3" rowspan="2" | [[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]]
|-
!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
| style="text-align:right;" |0.000
| style="text-align:right;" |0.000
|0
|0
|0
| style="text-align:center;" | 1/1
| style="text-align:center;" | 1/1
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 36: Line 28:
| style="text-align:center;" | di
| style="text-align:center;" | di
| style="text-align:right;" | 35.294
| style="text-align:right;" | 35.294
|35.296
|35.336
|35.697
| 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 48: Line 37:
| style="text-align:center;" | rih
| style="text-align:center;" | rih
| style="text-align:right;" | 70.588
| style="text-align:right;" | 70.588
|70.592
| colspan="2" |70.672
| 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 59: Line 46:
| style="text-align:center;" | ra
| style="text-align:center;" | ra
| style="text-align:right;" | 105.882
| style="text-align:right;" | 105.882
|105.8885
|106.008
|106.369
| 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 71: Line 55:
| style="text-align:center;" | ru
| style="text-align:center;" | ru
| style="text-align:right;" | 141.1765
| style="text-align:right;" | 141.1765
|141.185
| colspan="2" |141.345
| 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 82: Line 64:
| style="text-align:center;" | reh
| style="text-align:center;" | reh
| style="text-align:right;" | 176.471
| style="text-align:right;" | 176.471
|176.481
|176.681
|177.042
| 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 94: Line 73:
| style="text-align:center;" | re
| style="text-align:center;" | re
| style="text-align:right;" | 211.765
| style="text-align:right;" | 211.765
|211.777
| colspan="2" |212.017
| 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 105: Line 82:
| style="text-align:center;" | raw
| style="text-align:center;" | raw
| style="text-align:right;" | 247.059
| style="text-align:right;" | 247.059
|247.073
|247.3535
|247.714
| 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 117: Line 91:
| style="text-align:center;" | meh
| style="text-align:center;" | meh
| style="text-align:right;" | 282.353
| style="text-align:right;" | 282.353
|282.3695
| colspan="2" |282.69
| 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 128: Line 100:
| style="text-align:center;" | me
| style="text-align:center;" | me
| style="text-align:right;" | 317.647
| style="text-align:right;" | 317.647
|317.666
|318.026
|318.3865
| 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 140: Line 109:
| style="text-align:center;" | mu
| style="text-align:center;" | mu
| style="text-align:right;" | 352.941
| style="text-align:right;" | 352.941
|352.962
| colspan="2" |353.362
| 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 151: Line 118:
| style="text-align:center;" | mi
| style="text-align:center;" | mi
| style="text-align:right;" | 388.235
| style="text-align:right;" | 388.235
|388.258
|388.698
|389.059
| style="text-align:center;" | 5/4
| style="text-align:center;" | 5/4
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 163: Line 127:
| style="text-align:center;" | maa
| style="text-align:center;" | maa
| style="text-align:right;" | 423.529
| style="text-align:right;" | 423.529
|423.554
| colspan="2" |424.035
| 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 174: Line 136:
| style="text-align:center;" | maw
| style="text-align:center;" | maw
| style="text-align:right;" | 458.8235
| style="text-align:right;" | 458.8235
|458.85
|459.371
|459.731
| 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 186: Line 145:
| style="text-align:center;" | fa
| style="text-align:center;" | fa
| style="text-align:right;" | 494.118
| style="text-align:right;" | 494.118
|494.1465
| colspan="2" |494.707
| style="text-align:center;" | 4/3
| style="text-align:center;" | 4/3
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 197: Line 154:
| style="text-align:center;" | fih
| style="text-align:center;" | fih
| style="text-align:right;" | 529.412
| style="text-align:right;" | 529.412
|529.443
|530.043
|530.40
| 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 209: Line 163:
| style="text-align:center;" | fu
| style="text-align:center;" | fu
| style="text-align:right;" | 564.706
| style="text-align:right;" | 564.706
|564.739
| colspan="2" |565.379
| 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 220: Line 172:
| style="text-align:center;" | fi/se
| style="text-align:center;" | fi/se
| style="text-align:right;" | 600<span style="color: #fff;">.000</span>
| style="text-align:right;" | 600<span style="color: #fff;">.000</span>
|600.035
|600.716
|601.076
| 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 232: Line 181:
| style="text-align:center;" | su
| style="text-align:center;" | su
| style="text-align:right;" | 635.294
| style="text-align:right;" | 635.294
|635.331
| colspan="2" |636.052
| 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 243: Line 190:
| style="text-align:center;" | sih
| style="text-align:center;" | sih
| style="text-align:right;" | 670.588
| style="text-align:right;" | 670.588
|670.627
|671.388
|671.749
| 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 255: Line 199:
| style="text-align:center;" | sol
| style="text-align:center;" | sol
| style="text-align:right;" | 705.882
| style="text-align:right;" | 705.882
|705.924
| colspan="2" |706.724
| style="text-align:center;" | 3/2
| style="text-align:center;" | 3/2
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 266: Line 208:
| style="text-align:center;" | saw
| style="text-align:center;" | saw
| style="text-align:right;" | 741.1765
| style="text-align:right;" | 741.1765
|741.22
|742.0605
|742.421
| 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 278: Line 217:
| style="text-align:center;" | leh
| style="text-align:center;" | leh
| style="text-align:right;" | 776.471
| style="text-align:right;" | 776.471
|776.516
| colspan="2" |777.397
| 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 289: Line 226:
| style="text-align:center;" | le
| style="text-align:center;" | le
| style="text-align:right;" | 811.765
| style="text-align:right;" | 811.765
|811.812
|812.733
|813.0935
| style="text-align:center;" | 8/5
| style="text-align:center;" | 8/5
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 301: Line 235:
| style="text-align:center;" | lu
| style="text-align:center;" | lu
| style="text-align:right;" | 847.059
| style="text-align:right;" | 847.059
|847.108
| colspan="2" |848.069
| 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 312: Line 244:
| style="text-align:center;" | la
| style="text-align:center;" | la
| style="text-align:right;" | 882.353
| style="text-align:right;" | 882.353
|882.4045
|883.405
|883.766
| 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 324: Line 253:
| style="text-align:center;" | laa
| style="text-align:center;" | laa
| style="text-align:right;" | 917.647
| style="text-align:right;" | 917.647
|917.701
| colspan="2" |918.7415
| 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 335: Line 262:
| style="text-align:center;" | law
| style="text-align:center;" | law
| style="text-align:right;" | 952.941
| style="text-align:right;" | 952.941
|952.997
|954.078
|954.438
| 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 347: Line 271:
| style="text-align:center;" | teh
| style="text-align:center;" | teh
| style="text-align:right;" | 988.235
| style="text-align:right;" | 988.235
|988.293
| colspan="2" |989.414
| 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 358: Line 280:
| style="text-align:center;" | te
| style="text-align:center;" | te
| style="text-align:right;" | 1023.529
| style="text-align:right;" | 1023.529
|1023.589
|1024.75
|1025.111
| 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 370: Line 289:
| style="text-align:center;" | tu
| style="text-align:center;" | tu
| style="text-align:right;" | 1058.8235
| style="text-align:right;" | 1058.8235
|1058.885
| colspan="2" |1060.086
| 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 381: Line 298:
| style="text-align:center;" | ti
| style="text-align:center;" | ti
| style="text-align:right;" | 1094.118
| style="text-align:right;" | 1094.118
|1094.182
|1095.423
|1095.783
| 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 393: Line 307:
| style="text-align:center;" | taa
| style="text-align:center;" | taa
| style="text-align:right;" | 1129.412
| style="text-align:right;" | 1129.412
|1129.478
| colspan="2" |1130.759
| 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 404: Line 316:
| style="text-align:center;" | da
| style="text-align:center;" | da
| style="text-align:right;" | 1164.706
| style="text-align:right;" | 1164.706
|1164.774
|1166.095
|1166.456
| 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 416: Line 325:
| style="text-align:center;" | do
| style="text-align:center;" | do
| style="text-align:right;" | 1200<span style="color: #fff;">.000</span>
| style="text-align:right;" | 1200<span style="color: #fff;">.000</span>
|1200.07
| colspan="2" |1201.431
| style="text-align:center;" | 2/1
| style="text-align:center;" | 2/1
| style="text-align:center;" |  
| style="text-align:center;" |  
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