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| Line 10: |
Line 10: |
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| == Intervals == | | == Intervals == |
| {| class="wikitable mw-collapsible" | | {{Interval table}} |
| |+ Intervals of 87ed7
| |
| |-
| |
| ! | degree
| |
| ! | cents value
| |
| ! | corresponding <br>JI intervals
| |
| ! | comments
| |
| |-
| |
| | | 0
| |
| | | 0.0000
| |
| | | '''exact [[1/1]]'''
| |
| | |
| |
| |-
| |
| | | 1
| |
| | | 38.7221
| |
| | |
| |
| | |
| |
| |-
| |
| | | 2
| |
| | | 77.4443
| |
| | |
| |
| | |
| |
| |-
| |
| | | 3
| |
| | | 116.1664
| |
| | | 77/72, [[15/14]]
| |
| | |
| |
| |-
| |
| | | 4
| |
| | | 154.8885
| |
| | |
| |
| | |
| |
| |-
| |
| | | 5
| |
| | | 193.6107
| |
| | | [[19/17]], 85/76
| |
| | |
| |
| |-
| |
| | | 6
| |
| | | 232.3328
| |
| | | [[8/7]]
| |
| | |
| |
| |-
| |
| | | 7
| |
| | | 271.0550
| |
| | |
| |
| | |
| |
| |-
| |
| | | 8
| |
| | | 309.7771
| |
| | |
| |
| | |
| |
| |-
| |
| | | 9
| |
| | | 348.4992
| |
| | | [[11/9]], [[49/40]]
| |
| | |
| |
| |-
| |
| | | 10
| |
| | | 387.2214
| |
| | | [[5/4]]
| |
| | |
| |
| |-
| |
| | | 11
| |
| | | 425.9435
| |
| | |
| |
| | |
| |
| |-
| |
| | | 12
| |
| | | 464.6656
| |
| | | 98/75
| |
| | |
| |
| |-
| |
| | | 13
| |
| | | 503.3878
| |
| | | 91/68, 75/56
| |
| | |
| |
| |-
| |
| | | 14
| |
| | | 542.1099
| |
| | |
| |
| | |
| |
| |-
| |
| | | 15
| |
| | | 580.8321
| |
| | | [[7/5]]
| |
| | |
| |
| |-
| |
| | | 16
| |
| | | 619.5542
| |
| | | [[10/7]]
| |
| | |
| |
| |-
| |
| | | 17
| |
| | | 658.2763
| |
| | |
| |
| | |
| |
| |-
| |
| | | 18
| |
| | | 696.9985
| |
| | | 112/75, 121/81, 136/91, 187/125
| |
| | |
| |
| |-
| |
| | | 19
| |
| | | 735.7206
| |
| | |
| |
| | |
| |
| |-
| |
| | | 20
| |
| | | 774.4427
| |
| | |
| |
| | |
| |
| |-
| |
| | | 21
| |
| | | 813.1649
| |
| | | [[8/5]]
| |
| | |
| |
| |-
| |
| | | 22
| |
| | | 851.8870
| |
| | |
| |
| | |
| |
| |-
| |
| | | 23
| |
| | | 890.6091
| |
| | |
| |
| | |
| |
| |-
| |
| | | 24
| |
| | | 929.3313
| |
| | | 65/38
| |
| | |
| |
| |-
| |
| | | 25
| |
| | | 968.0534
| |
| | |
| |
| | |
| |
| |-
| |
| | | 26
| |
| | | 1006.7756
| |
| | |
| |
| | |
| |
| |-
| |
| | | 27
| |
| | | 1045.4977
| |
| | | 64/35
| |
| | |
| |
| |-
| |
| | | 28
| |
| | | 1084.2198
| |
| | |
| |
| | |
| |
| |-
| |
| | | 29
| |
| | | 1122.9420
| |
| | |
| |
| | |
| |
| |-
| |
| | | 30
| |
| | | 1161.6641
| |
| | | 88/45, 96/49, 49/25
| |
| | |
| |
| |-
| |
| | | 31
| |
| | | 1200.3862
| |
| | | [[Octave|2/1]]
| |
| | |
| |
| |-
| |
| | | 32
| |
| | | 1239.1084
| |
| | |
| |
| | |
| |
| |-
| |
| | | 33
| |
| | | 1277.8305
| |
| | | [[22/21|44/21]]
| |
| | |
| |
| |-
| |
| | | 34
| |
| | | 1316.5527
| |
| | |
| |
| | |
| |
| |-
| |
| | | 35
| |
| | | 1355.2748
| |
| | |
| |
| | |
| |
| |-
| |
| | | 36
| |
| | | 1393.9969
| |
| | | [[19/17|38/17]], 85/38
| |
| | |
| |
| |-
| |
| | | 37
| |
| | | 1432.7191
| |
| | |
| |
| | |
| |
| |-
| |
| | | 38
| |
| | | 1471.4412
| |
| | |
| |
| | |
| |
| |-
| |
| | | 39
| |
| | | 1510.1633
| |
| | |
| |
| | |
| |
| |-
| |
| | | 40
| |
| | | 1548.8855
| |
| | |
| |
| | |
| |
| |-
| |
| | | 41
| |
| | | 1587.6076
| |
| | |
| |
| | |
| |
| |-
| |
| | | 42
| |
| | | 1626.3297
| |
| | | [[32/25|64/25]]
| |
| | |
| |
| |-
| |
| | | 43
| |
| | | 1665.0519
| |
| | |
| |
| | |
| |
| |-
| |
| | | 44
| |
| | | 1703.7740
| |
| | |
| |
| | |
| |
| |-
| |
| | | 45
| |
| | | 1742.4962
| |
| | | [[26/19|52/19]]
| |
| | |
| |
| |-
| |
| | | 46
| |
| | | 1781.2183
| |
| | |
| |
| | |
| |
| |-
| |
| | | 47
| |
| | | 1819.9404
| |
| | |
| |
| | |
| |
| |-
| |
| | | 48
| |
| | | 1858.6626
| |
| | | [[19/13|38/13]]
| |
| | |
| |
| |-
| |
| | | 49
| |
| | | 1897.3847
| |
| | |
| |
| | |
| |
| |-
| |
| | | 50
| |
| | | 1936.1068
| |
| | |
| |
| | |
| |
| |-
| |
| | | 51
| |
| | | 1974.8290
| |
| | | [[25/16|25/8]]
| |
| | |
| |
| |-
| |
| | | 52
| |
| | | 2013.5511
| |
| | |
| |
| | |
| |
| |-
| |
| | | 53
| |
| | | 2052.2733
| |
| | |
| |
| | |
| |
| |-
| |
| | | 54
| |
| | | 2090.9954
| |
| | |
| |
| | |
| |
| |-
| |
| | | 55
| |
| | | 2129.7175
| |
| | |
| |
| | |
| |
| |-
| |
| | | 56
| |
| | | 2168.4397
| |
| | |
| |
| | |
| |
| |-
| |
| | | 57
| |
| | | 2207.1618
| |
| | | [[34/19|68/19]]
| |
| | |
| |
| |-
| |
| | | 58
| |
| | | 2245.8839
| |
| | |
| |
| | |
| |
| |-
| |
| | | 59
| |
| | | 2284.6061
| |
| | |
| |
| | |
| |
| |-
| |
| | | 60
| |
| | | 2323.3282
| |
| | | 65/17
| |
| | |
| |
| |-
| |
| | | 61
| |
| | | 2362.0503
| |
| | |
| |
| | |
| |
| |-
| |
| | | 62
| |
| | | 2400.7725
| |
| | |
| |
| | |
| |
| |-
| |
| | | 63
| |
| | | 2439.4946
| |
| | | [[45/44|45/11]]
| |
| | |
| |
| |-
| |
| | | 64
| |
| | | 2478.2168
| |
| | |
| |
| | |
| |
| |-
| |
| | | 65
| |
| | | 2516.9389
| |
| | |
| |
| | |
| |
| |-
| |
| | | 66
| |
| | | 2555.6610
| |
| | | 35/8
| |
| | |
| |
| |-
| |
| | | 67
| |
| | | 2594.3832
| |
| | |
| |
| | |
| |
| |-
| |
| | | 68
| |
| | | 2633.1053
| |
| | |
| |
| | |
| |
| |-
| |
| | | 69
| |
| | | 2671.8274
| |
| | |
| |
| | |
| |
| |-
| |
| | | 70
| |
| | | 2710.5496
| |
| | |
| |
| | |
| |
| |-
| |
| | | 71
| |
| | | 2749.2717
| |
| | |
| |
| | |
| |
| |-
| |
| | | 72
| |
| | | 2787.9939
| |
| | | [[5/1]]
| |
| | |
| |
| |-
| |
| | | 73
| |
| | | 2826.7160
| |
| | |
| |
| | |
| |
| |-
| |
| | | 74
| |
| | | 2865.4381
| |
| | |
| |
| | |
| |
| |-
| |
| | | 75
| |
| | | 2904.1603
| |
| | | 75/14
| |
| | |
| |
| |-
| |
| | | 76
| |
| | | 2942.8824
| |
| | |
| |
| | |
| |
| |-
| |
| | | 77
| |
| | | 2981.6045
| |
| | |
| |
| | |
| |
| |-
| |
| | | 78
| |
| | | 3020.3267
| |
| | | [[10/7|40/7]], 63/11
| |
| | |
| |
| |-
| |
| | | 79
| |
| | | 3059.0488
| |
| | |
| |
| | |
| |
| |-
| |
| | | 80
| |
| | | 3097.7709
| |
| | |
| |
| | |
| |
| |-
| |
| | | 81
| |
| | | 3136.4931
| |
| | | [[49/32|49/8]]
| |
| | |
| |
| |-
| |
| | | 82
| |
| | | 3175.2152
| |
| | |
| |
| | |
| |
| |-
| |
| | | 83
| |
| | | 3213.9374
| |
| | |
| |
| | |
| |
| |-
| |
| | | 84
| |
| | | 3252.6595
| |
| | | 98/15, [[18/11|72/11]]
| |
| | |
| |
| |-
| |
| | | 85
| |
| | | 3291.3816
| |
| | |
| |
| | |
| |
| |-
| |
| | | 86
| |
| | | 3330.1038
| |
| | |
| |
| | |
| |
| |-
| |
| | | 87
| |
| | | 3368.8259
| |
| | | '''exact [[7/1]]'''
| |
| | | [[7/4|harmonic seventh]] plus two octaves
| |
| |}
| |
|
| |
|
| == See also == | | == See also == |