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38edo: Difference between revisions

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2,880 edits
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2,880 edits
Line 14: Line 14:
!19-limit ratios,
!19-limit ratios,
treated as 38df
treated as 38df
!21-limit ratios,
!19-limit ratios,
by direct mapping
by direct mapping
! colspan="3" | [[Ups and Downs Notation]]*
! colspan="3" | [[Ups and Downs Notation]]*
Line 45: Line 45:
| 94.7368
| 94.7368
|[[20/19]], [[19/18]], [[18/17]], [[17/16]]
|[[20/19]], [[19/18]], [[18/17]], [[17/16]]
|
|[[20/19]], [[19/18]], [[18/17]], [[17/16]]
| Upaug 1sn, downminor 2nd
| Upaug 1sn, downminor 2nd
| ^A1, vm2
| ^A1, vm2
Line 53: Line 53:
| 126.3157
| 126.3157
|[[16/15]], [[15/14]], [[14/13]], [[13/12]]
|[[16/15]], [[15/14]], [[14/13]], [[13/12]]
|
|[[16/15]], [[15/14]], [[14/13]], [[13/12]]
| Minor 2nd
| Minor 2nd
| m2
| m2
Line 61: Line 61:
| 157.8947
| 157.8947
|[[12/11]], [[11/10]]
|[[12/11]], [[11/10]]
|
|[[12/11]], [[11/10]]
| Mid 2nd
| Mid 2nd
| ~2
| ~2
Line 69: Line 69:
| 189.4737
| 189.4737
|[[10/9]], [[19/17]], [[9/8]]
|[[10/9]], [[19/17]], [[9/8]]
|
|[[10/9]], [[19/17]], [[9/8]]
| Major 2nd
| Major 2nd
| M2
| M2
Line 77: Line 77:
| 221.0526
| 221.0526
|[[17/15]]
|[[17/15]]
|
|[[17/15]], [[8/7]]
| Upmajor 2nd
| Upmajor 2nd
| ^M2
| ^M2
Line 85: Line 85:
| 252.6316
| 252.6316
|[[8/7]], [[15/13]], [[22/19]], [[7/6]]
|[[8/7]], [[15/13]], [[22/19]], [[7/6]]
|
|[[15/13]], [[22/19]], [[7/6]]
| Aug 2nd, Dim 3rd
| Aug 2nd, Dim 3rd
| A2, d3
| A2, d3
Line 93: Line 93:
| 284.2105
| 284.2105
|[[20/17]], [[13/11]], [[19/16]]
|[[20/17]], [[13/11]], [[19/16]]
|
|[[20/17]], [[13/11]], [[19/16]]
| Downminor 3rd
| Downminor 3rd
| vm3
| vm3
Line 101: Line 101:
| 315.7895
| 315.7895
|[[6/5]]
|[[6/5]]
|
|[[6/5]]
| Minor 3rd
| Minor 3rd
| m3
| m3
Line 109: Line 109:
| 347.3684
| 347.3684
|[[17/14]], [[11/9]]
|[[17/14]], [[11/9]]
|
|[[17/14]], [[11/9]], [[16/13]]
| Mid 3rd
| Mid 3rd
| ~3
| ~3
Line 117: Line 117:
| 378.9474
| 378.9474
|[[16/13]], [[5/4]]
|[[16/13]], [[5/4]]
|
|[[5/4]]
| Major 3rd
| Major 3rd
| M3
| M3
Line 125: Line 125:
| 410.5263
| 410.5263
|[[24/19]], [[19/15]], [[14/11]]
|[[24/19]], [[19/15]], [[14/11]]
|
|[[24/19]], [[19/15]], [[14/11]]
| Upmajor 3rd, Downdim 4th
| Upmajor 3rd, Downdim 4th
| ^M3, vd4
| ^M3, vd4
Line 133: Line 133:
| 442.1053
| 442.1053
|[[9/7]], [[22/17]], [[13/10]]
|[[9/7]], [[22/17]], [[13/10]]
|
|[[9/7]], [[22/17]], [[13/10]]
| Aug 3rd, dim 4th
| Aug 3rd, dim 4th
| A3, d4
| A3, d4
Line 141: Line 141:
| 473.6843
| 473.6843
|[[17/13]]
|[[17/13]]
|
|[[17/13]]
| Down 4th
| Down 4th
| v4
| v4
Line 149: Line 149:
| 505.2632
| 505.2632
|[[4/3]]
|[[4/3]]
|
|[[4/3]]
| Perfect 4th
| Perfect 4th
| P4
| P4
Line 157: Line 157:
| 536.8421
| 536.8421
|[[19/14]], [[15/11]], [[26/19]], [[11/8]]
|[[19/14]], [[15/11]], [[26/19]], [[11/8]]
|
|[[19/14]], [[15/11]], [[26/19]], [[11/8]]
| Up 4th
| Up 4th
| ^4
| ^4
Line 165: Line 165:
| 568.4211
| 568.4211
|[[18/13]], [[7/5]]
|[[18/13]], [[7/5]]
|
|[[18/13]], [[7/5]]
| Aug 4th
| Aug 4th
| A4
| A4
Line 173: Line 173:
| 600.0000
| 600.0000
|[[24/17]], [[17/12]]
|[[24/17]], [[17/12]]
|
|[[24/17]], [[17/12]]
| Upaug 4th, downdim 5th
| Upaug 4th, downdim 5th
| ^A4, vd5
| ^A4, vd5
Line 181: Line 181:
| 631.5789
| 631.5789
|[[10/7]], [[13/9]]
|[[10/7]], [[13/9]]
|
|[[10/7]], [[13/9]]
| Dim 5th
| Dim 5th
| d5
| d5
Line 189: Line 189:
| 663.1579
| 663.1579
|[[16/11]], [[19/13]], [[22/15]], [[28/19]]
|[[16/11]], [[19/13]], [[22/15]], [[28/19]]
|
|[[16/11]], [[19/13]], [[22/15]], [[28/19]]
| Down 5th
| Down 5th
| v5
| v5
Line 197: Line 197:
| 694.7368
| 694.7368
|[[3/2]]
|[[3/2]]
|
|[[3/2]]
| Perfect 5th
| Perfect 5th
| P5
| P5
Line 205: Line 205:
| 726.3157
| 726.3157
|[[26/17]]
|[[26/17]]
|
|[[26/17]]
| Up 5th
| Up 5th
| ^5
| ^5
Line 213: Line 213:
| 757.8947
| 757.8947
|[[20/13]], [[17/11]], [[14/9]]
|[[20/13]], [[17/11]], [[14/9]]
|
|[[20/13]], [[17/11]], [[14/9]]
| Aug 5th, dim 6th
| Aug 5th, dim 6th
| A5, d6
| A5, d6
Line 221: Line 221:
| 789.4737
| 789.4737
|[[11/7]], [[30/19]], [[19/12]]
|[[11/7]], [[30/19]], [[19/12]]
|
|[[11/7]], [[30/19]], [[19/12]]
| Upaug 5th, downminor 6th
| Upaug 5th, downminor 6th
| ^A5, vm6
| ^A5, vm6
Line 229: Line 229:
| 821.0526
| 821.0526
|[[8/5]], [[13/8]]
|[[8/5]], [[13/8]]
|
|[[8/5]]
| Minor 6th
| Minor 6th
| m6
| m6
Line 237: Line 237:
| 852.6316
| 852.6316
|[[18/11]], [[28/17]]
|[[18/11]], [[28/17]]
|
|[[13/8]], [[18/11]], [[28/17]]
| Mid 6th
| Mid 6th
| ~6
| ~6
Line 245: Line 245:
| 884.2105
| 884.2105
|[[5/3]]
|[[5/3]]
|
|[[5/3]]
| Major 6th
| Major 6th
| M6
| M6
Line 253: Line 253:
| 915.7895
| 915.7895
|[[32/19]], [[22/13]], [[17/10]]
|[[32/19]], [[22/13]], [[17/10]]
|
|[[32/19]], [[22/13]], [[17/10]]
| Upmajor 6th
| Upmajor 6th
| ^M6
| ^M6
Line 261: Line 261:
| 947.3684
| 947.3684
|[[12/7]], [[19/11]], [[26/15]], [[7/4]]
|[[12/7]], [[19/11]], [[26/15]], [[7/4]]
|
|[[12/7]], [[19/11]], [[26/15]]
| Aug 6th, dim 7th
| Aug 6th, dim 7th
| A6, d7
| A6, d7
Line 269: Line 269:
| 978.9474
| 978.9474
|[[30/17]]
|[[30/17]]
|
|[[7/4]], [[30/17]]
| Downminor 7th
| Downminor 7th
| vm7
| vm7
Line 277: Line 277:
| 1010.5263
| 1010.5263
|[[16/9]], [[34/19]], [[9/5]]
|[[16/9]], [[34/19]], [[9/5]]
|
|[[16/9]], [[34/19]], [[9/5]]
| Minor 7th
| Minor 7th
| m7
| m7
Line 285: Line 285:
| 1042.1053
| 1042.1053
|[[20/11]], [[11/6]]
|[[20/11]], [[11/6]]
|
|[[20/11]], [[11/6]]
| Mid 7th
| Mid 7th
| ~7
| ~7
Line 293: Line 293:
| 1073.6843
| 1073.6843
|[[24/13]], [[13/7]], [[28/15]], [[15/8]]
|[[24/13]], [[13/7]], [[28/15]], [[15/8]]
|
|[[24/13]], [[13/7]], [[28/15]], [[15/8]]
| Major 7th
| Major 7th
| M7
| M7
Line 301: Line 301:
| 1105.2632
| 1105.2632
|[[32/17]], [[17/9]], [[36/19]], [[19/10]]
|[[32/17]], [[17/9]], [[36/19]], [[19/10]]
|
|[[32/17]], [[17/9]], [[36/19]], [[19/10]]
| Upmajor 7th, Downdim 8ve
| Upmajor 7th, Downdim 8ve
| ^M7, vd8
| ^M7, vd8
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