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38edo: Difference between revisions

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→Interval mappings: Added 38df interval mappings
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this was long overdue tbh
Line 21: Line 21:
! Step
! Step
! Cents
! Cents
!19-odd-limit ratios, patent val
! 19-odd-limit ratios,<br>in 38df val
! 19-odd-limit ratios,<br>in 38df val
! colspan="3" | [[Ups and downs notation]]*
! colspan="3" | [[Ups and downs notation]]*
Line 27: Line 28:
| 0
| 0
| 0.0
| 0.0
|[[1/1]]
| [[1/1]]
| [[1/1]]
| Perfect 1sn
| Perfect 1sn
Line 34: Line 36:
| 1
| 1
| 31.6
| 31.6
|
|
|
| Up 1sn
| Up 1sn
Line 41: Line 44:
| 2
| 2
| 63.2
| 63.2
|
|
|
| Aug 1sn, dim 2nd
| Aug 1sn, dim 2nd
Line 48: Line 52:
| 3
| 3
| 94.7
| 94.7
|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
Line 55: Line 60:
| 4
| 4
| 126.3
| 126.3
|16/15, 15/14, 14/13
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| [[16/15]], [[15/14]], [[14/13]], [[13/12]]
| Minor 2nd
| Minor 2nd
Line 62: Line 68:
| 5
| 5
| 157.9
| 157.9
|13/12, 12/11, 11/10
| [[12/11]], [[11/10]]
| [[12/11]], [[11/10]]
| Mid 2nd
| Mid 2nd
Line 69: Line 76:
| 6
| 6
| 189.5
| 189.5
|10/9, 19/17, 9/8
| [[10/9]], [[19/17]], [[9/8]]
| [[10/9]], [[19/17]], [[9/8]]
| Major 2nd
| Major 2nd
Line 76: Line 84:
| 7
| 7
| 221.1
| 221.1
|17/15, 8/7, 15/13
| [[17/15]]
| [[17/15]]
| Upmajor 2nd
| Upmajor 2nd
Line 83: Line 92:
| 8
| 8
| 252.6
| 252.6
|22/19
| [[8/7]], [[15/13]], [[22/19]], [[7/6]]
| [[8/7]], [[15/13]], [[22/19]], [[7/6]]
| Aug 2nd, Dim 3rd
| Aug 2nd, Dim 3rd
Line 90: Line 100:
| 9
| 9
| 284.2
| 284.2
|7/6, 20/17,  19/16
| [[20/17]], [[13/11]], [[19/16]]
| [[20/17]], [[13/11]], [[19/16]]
| Downminor 3rd
| Downminor 3rd
Line 97: Line 108:
| 10
| 10
| 315.8
| 315.8
|13/11, 6/5, 17/14
| [[6/5]]
| [[6/5]]
| Minor 3rd
| Minor 3rd
Line 104: Line 116:
| 11
| 11
| 347.4
| 347.4
|16/13, 11/9
| [[17/14]], [[11/9]]
| [[17/14]], [[11/9]]
| Mid 3rd
| Mid 3rd
Line 111: Line 124:
| 12
| 12
| 378.9
| 378.9
|5/4
| [[16/13]], [[5/4]]
| [[16/13]], [[5/4]]
| Major 3rd
| Major 3rd
Line 118: Line 132:
| 13
| 13
| 410.5
| 410.5
|9/7, 24/19, 19/15
| [[24/19]], [[19/15]], [[14/11]]
| [[24/19]], [[19/15]], [[14/11]]
| Upmajor 3rd, Downdim 4th
| Upmajor 3rd, Downdim 4th
Line 125: Line 140:
| 14
| 14
| 442.1
| 442.1
|14/11, 22/17, 17/13
| [[9/7]], [[22/17]], [[13/10]]
| [[9/7]], [[22/17]], [[13/10]]
| Aug 3rd, dim 4th
| Aug 3rd, dim 4th
Line 132: Line 148:
| 15
| 15
| 473.7
| 473.7
|13/10
| [[17/13]]
| [[17/13]]
| Down 4th
| Down 4th
Line 139: Line 156:
| 16
| 16
| 505.3
| 505.3
|4/3, 19/14
| [[4/3]]
| [[4/3]]
| Perfect 4th
| Perfect 4th
Line 146: Line 164:
| 17
| 17
| 536.8
| 536.8
|15/11, 11/8, 18/13
| [[19/14]], [[15/11]], [[26/19]], [[11/8]]
| [[19/14]], [[15/11]], [[26/19]], [[11/8]]
| Up 4th
| Up 4th
Line 153: Line 172:
| 18
| 18
| 568.4
| 568.4
|26/19
| [[18/13]], [[7/5]]
| [[18/13]], [[7/5]]
| Aug 4th
| Aug 4th
Line 160: Line 180:
| 19
| 19
| 600.0
| 600.0
|7/5, 24/17, 17/12, 10/7
| [[24/17]], [[17/12]]
| [[24/17]], [[17/12]]
| Upaug 4th, downdim 5th
| Upaug 4th, downdim 5th
Line 167: Line 188:
| 20
| 20
| 631.6
| 631.6
|19/13
| [[10/7]], [[13/9]]
| [[10/7]], [[13/9]]
| Dim 5th
| Dim 5th
Line 174: Line 196:
| 21
| 21
| 663.2
| 663.2
|16/11, 22/15, 13/9
| [[16/11]], [[19/13]], [[22/15]], [[28/19]]
| [[16/11]], [[19/13]], [[22/15]], [[28/19]]
| Down 5th
| Down 5th
Line 181: Line 204:
| 22
| 22
| 694.7
| 694.7
|3/2, 28/19
| [[3/2]]
| [[3/2]]
| Perfect 5th
| Perfect 5th
Line 188: Line 212:
| 23
| 23
| 726.3
| 726.3
|20/13
| [[26/17]]
| [[26/17]]
| Up 5th
| Up 5th
Line 195: Line 220:
| 24
| 24
| 757.9
| 757.9
|17/11, 11/7, 26/17
| [[20/13]], [[17/11]], [[14/9]]
| [[20/13]], [[17/11]], [[14/9]]
| Aug 5th, dim 6th
| Aug 5th, dim 6th
Line 202: Line 228:
| 25
| 25
| 789.5
| 789.5
|14/9, 19/12, 30/19
| [[11/7]], [[30/19]], [[19/12]]
| [[11/7]], [[30/19]], [[19/12]]
| Upaug 5th, downminor 6th
| Upaug 5th, downminor 6th
Line 209: Line 236:
| 26
| 26
| 821.1
| 821.1
|8/5
| [[8/5]], [[13/8]]
| [[8/5]], [[13/8]]
| Minor 6th
| Minor 6th
Line 216: Line 244:
| 27
| 27
| 852.6
| 852.6
|18/11, 13/8
| [[18/11]], [[28/17]]
| [[18/11]], [[28/17]]
| Mid 6th
| Mid 6th
Line 223: Line 252:
| 28
| 28
| 884.2
| 884.2
|22/13, 5/3, 28/17
| [[5/3]]
| [[5/3]]
| Major 6th
| Major 6th
Line 230: Line 260:
| 29
| 29
| 915.8
| 915.8
|32/19, 17/10, 12/7
| [[32/19]], [[22/13]], [[17/10]]
| [[32/19]], [[22/13]], [[17/10]]
| Upmajor 6th
| Upmajor 6th
Line 237: Line 268:
| 30
| 30
| 947.4
| 947.4
|19/11
| [[12/7]], [[19/11]], [[26/15]], [[7/4]]
| [[12/7]], [[19/11]], [[26/15]], [[7/4]]
| Aug 6th, dim 7th
| Aug 6th, dim 7th
Line 244: Line 276:
| 31
| 31
| 978.9
| 978.9
|30/17, 7/4, 26/15
| [[30/17]]
| [[30/17]]
| Downminor 7th
| Downminor 7th
Line 251: Line 284:
| 32
| 32
| 1010.5
| 1010.5
|9/5, 16/9, 34/19
| [[16/9]], [[34/19]], [[9/5]]
| [[16/9]], [[34/19]], [[9/5]]
| Minor 7th
| Minor 7th
Line 258: Line 292:
| 33
| 33
| 1042.1
| 1042.1
|11/6, 20/11, 24/13
| [[20/11]], [[11/6]]
| [[20/11]], [[11/6]]
| Mid 7th
| Mid 7th
Line 265: Line 300:
| 34
| 34
| 1073.7
| 1073.7
|13/7, 15/8, 28/25
| [[24/13]], [[13/7]], [[28/15]], [[15/8]]
| [[24/13]], [[13/7]], [[28/15]], [[15/8]]
| Major 7th
| Major 7th
Line 272: Line 308:
| 35
| 35
| 1105.3
| 1105.3
|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
Line 279: Line 316:
| 36
| 36
| 1136.8
| 1136.8
|
|
|
| Aug 7th, dim 8ve
| Aug 7th, dim 8ve
Line 286: Line 324:
| 37
| 37
| 1168.4
| 1168.4
|
|
|
| Down 8ve
| Down 8ve
Line 293: Line 332:
| 38
| 38
| 1200.0
| 1200.0
|[[2/1]]
| [[2/1]]
| [[2/1]]
| Perfect 8ve
| Perfect 8ve
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