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87edo/13-limit detempering: Difference between revisions

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Line 1: Line 1:
In this table, "Difference in Cents" indicates whether the 87-edo interval is flat (negative) or sharp (positive) of the detempered interval. For example, 15 steps, at 206.90 cents, corresponds to [[9/8]] and is about 3 cents sharp.  
{{breadcrumb}}
In this table, "Difference in Cents" indicates whether the 87-edo interval is flat (negative) or sharp (positive) of the detempered interval. For example, 15 steps, at 206.90{{c}}, corresponds to [[9/8]] and is about 3 cents sharp.  


{| class="wikitable center-all right-2 right-4"
{| class="wikitable center-all right-2 right-4"
! #
|-
! #
! [[Cent]]s
! [[Cent]]s
! Detempered <br> Interval
! Detempered<br />Interval
! Difference <br>in Cents
! Difference<br />in cents
|-
|-
| 0
| 0
Line 15: Line 17:
| 13.79
| 13.79
| [[91/90]]
| [[91/90]]
| -5.34
| −5.34
|-
|-
| 2
| 2
| 27.59
| 27.59
| [[49/48]]
| [[49/48]]
| -8.11
| −8.11
|-
|-
| 3
| 3
| 41.38
| 41.38
| [[40/39]]
| [[40/39]]
| -2.45
| −2.45
|-
|-
| 4
| 4
| 55.17
| 55.17
| [[28/27]]
| [[28/27]]
| -7.79
| −7.79
|-
|-
| 5
| 5
| 68.97
| 68.97
| [[25/24]]
| [[25/24]]
| -1.71
| −1.71
|-
|-
| 6
| 6
| 82.76
| 82.76
| [[21/20]]
| [[21/20]]
| -1.71
| −1.71
|-
|-
| 7
| 7
| 96.55
| 96.55
| [[35/33]]
| [[35/33]]
| -5.31
| −5.31
|-
|-
| 8
| 8
| 110.34
| 110.34
| [[16/15]]
| [[16/15]]
| -1.39
| −1.39
|-
|-
| 9
| 9
| 124.14
| 124.14
| [[14/13]]
| [[14/13]]
| -4.16
| −4.16
|-
|-
| 10
| 10
| 137.93
| 137.93
| [[13/12]]
| [[13/12]]
| -0.64
| −0.64
|-
|-
| 11
| 11
Line 75: Line 77:
| 179.31
| 179.31
| [[10/9]]
| [[10/9]]
| -3.09
| −3.09
|-
|-
| 14
| 14
| 193.10
| 193.10
| [[28/25]]
| [[28/25]]
| -3.10
| −3.10
|-
|-
| 15
| 15
Line 90: Line 92:
| 220.69
| 220.69
| [[25/22]]
| [[25/22]]
| -0.62
| −0.62
|-
|-
| 17
| 17
Line 105: Line 107:
| 262.07
| 262.07
| [[7/6]]
| [[7/6]]
| -4.80
| −4.80
|-
|-
| 20
| 20
Line 130: Line 132:
| 331.03
| 331.03
| [[40/33]]
| [[40/33]]
| -2.01
| −2.01
|-
|-
| 25
| 25
| 344.83
| 344.83
| [[11/9]]
| [[11/9]]
| -2.58
| −2.58
|-
|-
| 26
| 26
| 358.62
| 358.62
| [[16/13]]
| [[16/13]]
| -0.85
| −0.85
|-
|-
| 27
| 27
Line 150: Line 152:
| 386.21
| 386.21
| [[5/4]]
| [[5/4]]
| -0.11
| −0.11
|-
|-
| 29
| 29
Line 160: Line 162:
| 413.79
| 413.79
| [[14/11]]
| [[14/11]]
| -3.71
| −3.71
|-
|-
| 31
| 31
Line 180: Line 182:
| 468.97
| 468.97
| [[21/16]]
| [[21/16]]
| -1.82
| −1.82
|-
|-
| 35
| 35
Line 190: Line 192:
| 496.55
| 496.55
| [[4/3]]
| [[4/3]]
| -1.49
| −1.49
|-
|-
| 37
| 37
| 510.34
| 510.34
| [[35/26]]
| [[35/26]]
| -4.27
| −4.27
|-
|-
| 38
| 38
Line 220: Line 222:
| 579.31
| 579.31
| [[7/5]]
| [[7/5]]
| -3.20
| −3.20
|-
|-
| 43
| 43
Line 230: Line 232:
| 606.90
| 606.90
| [[64/45]]
| [[64/45]]
| -2.88
| −2.88
|-
|-
| 45
| 45
Line 240: Line 242:
| 634.48
| 634.48
| [[13/9]]
| [[13/9]]
| -2.13
| −2.13
|-
|-
| 47
| 47
| 648.28
| 648.28
| [[16/11]]
| [[16/11]]
| -0.41
| −0.41
|-
|-
| 48
| 48
| 662.07
| 662.07
| [[22/15]]
| [[22/15]]
| -0.98
| −0.98
|-
|-
| 49
| 49
| 675.86
| 675.86
| [[40/27]]
| [[40/27]]
| -4.59
| −4.59
|-
|-
| 50
| 50
Line 270: Line 272:
| 717.24
| 717.24
| [[50/33]]
| [[50/33]]
| -2.11
| −2.11
|-
|-
| 53
| 53
Line 280: Line 282:
| 744.83
| 744.83
| [[20/13]]
| [[20/13]]
| -0.96
| −0.96
|-
|-
| 55
| 55
| 758.62
| 758.62
| [[14/9]]
| [[14/9]]
| -6.30
| −6.30
|-
|-
| 56
| 56
| 772.41
| 772.41
| [[25/16]]
| [[25/16]]
| -0.21
| −0.21
|-
|-
| 57
| 57
Line 300: Line 302:
| 800.00
| 800.00
| [[35/22]]
| [[35/22]]
| -3.82
| −3.82
|-
|-
| 59
| 59
Line 310: Line 312:
| 827.59
| 827.59
| [[21/13]]
| [[21/13]]
| -2.67
| −2.67
|-
|-
| 61
| 61
Line 330: Line 332:
| 882.76
| 882.76
| [[5/3]]
| [[5/3]]
| -1.60
| −1.60
|-
|-
| 65
| 65
| 896.55
| 896.55
| [[42/25]]
| [[42/25]]
| -1.60
| −1.60
|-
|-
| 66
| 66
| 910.34
| 910.34
| [[22/13]]
| [[22/13]]
| -0.45
| −0.45
|-
|-
| 67
| 67
Line 355: Line 357:
| 951.72
| 951.72
| [[26/15]]
| [[26/15]]
| -0.53
| −0.53
|-
|-
| 70
| 70
| 965.52
| 965.52
| [[7/4]]
| [[7/4]]
| -3.31
| −3.31
|-
|-
| 71
| 71
Line 370: Line 372:
| 993.10
| 993.10
| [[16/9]]
| [[16/9]]
| -2.99
| −2.99
|-
|-
| 73
| 73
Line 385: Line 387:
| 1034.48
| 1034.48
| [[20/11]]
| [[20/11]]
| -0.51
| −0.51
|-
|-
| 76
| 76
| 1048.28
| 1048.28
| [[11/6]]
| [[11/6]]
| -1.09
| −1.09
|-
|-
| 77
| 77
Line 415: Line 417:
| 1117.24
| 1117.24
| [[21/11]]
| [[21/11]]
| -2.22
| −2.22
|-
|-
| 82
| 82
| 1131.03
| 1131.03
| [[25/13]]
| [[25/13]]
| -1.07
| −1.07
|-
|-
| 83
| 83
Line 448: Line 450:
|}
|}


[[Category:Interval collection]]
[[Category:Lists of intervals]]
[[Category:87edo]]
[[Category:87edo]]
[[Category:Detempering]]
Retrieved from "https://en.xen.wiki/w/87edo/13-limit_detempering"