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The ''jinn'' is a unit of interval size which is defined as 1/16808 of an [[Octave|octave]], the step size of [[16808edo|16808edo]]. 16808edo is consistent and distinct though the 35 limit, and is a very strong system for intervals less than the 37 prime limit, which includes most of what people find of interest.
#REDIRECT [[16808edo]]


Below the intervals of the [[35-limit|35-limit]] [[Tonality_diamond|tonality diamond]] are tabulated, with the sizes listed in both [[cent|cent]]s and jinns. The worst error occurs for 33/25 and 50/33, which is less than 1/4 of a jinn off.
[[Category:Interval size measures]]
 
[[Category:16808edo]]
{| class="wikitable"
|-
! | interval
! | size in cents
! | size in jinns
|-
| | 36/35
| | 48.7700
| | 683.110
|-
| | 35/34
| | 50.1840
| | 702.914
|-
| | 34/33
| | 51.6820
| | 723.899
|-
| | 33/32
| | 53.273
| | 746.176
|-
| | 32/31
| | 54.964
| | 769.868
|-
| | 31/30
| | 56.767
| | 795.114
|-
| | 30/29
| | 58.692
| | 822.073
|-
| | 29/28
| | 60.751
| | 850.923
|-
| | 28/27
| | 62.961
| | 881.872
|-
| | 27/26
| | 65.337
| | 915.158
|-
| | 26/25
| | 67.900
| | 951.056
|-
| | 25/24
| | 70.672
| | 989.885
|-
| | 24/23
| | 73.681
| | 1032.020
|-
| | 23/22
| | 76.956
| | 1077.903
|-
| | 22/21
| | 80.537
| | 1128.055
|-
| | 21/20
| | 84.467
| | 1183.104
|-
| | 20/19
| | 88.801
| | 1243.802
|-
| | 19/18
| | 93.603
| | 1311.066
|-
| | 18/17
| | 98.955
| | 1386.024
|-
| | 35/33
| | 101.867
| | 1426.813
|-
| | 17/16
| | 104.955
| | 1470.075
|-
| | 33/31
| | 108.237
| | 1516.045
|-
| | 16/15
| | 111.731
| | 1564.983
|-
| | 31/29
| | 115.458
| | 1617.187
|-
| | 15/14
| | 119.443
| | 1672.996
|-
| | 29/27
| | 123.712
| | 1732.795
|-
| | 14/13
| | 128.298
| | 1797.031
|-
| | 27/25
| | 133.238
| | 1866.214
|-
| | 13/12
| | 138.573
| | 1940.941
|-
| | 38/35
| | 142.373
| | 1994.177
|-
| | 25/23
| | 144.353
| | 2021.905
|-
| | 12/11
| | 150.637
| | 2109.923
|-
| | 35/32
| | 155.140
| | 2172.989
|-
| | 23/21
| | 157.493
| | 2205.958
|-
| | 34/31
| | 159.920
| | 2239.944
|-
| | 11/10
| | 165.004
| | 2311.159
|-
| | 32/29
| | 170.423
| | 2387.055
|-
| | 21/19
| | 173.268
| | 2426.906
|-
| | 31/28
| | 176.210
| | 2468.110
|-
| | 10/9
| | 182.404
| | 2554.868
|-
| | 29/26
| | 189.050
| | 2647.954
|-
| | 19/17
| | 192.558
| | 2697.090
|-
| | 28/25
| | 196.198
| | 2748.087
|-
| | 9/8
| | 203.910
| | 2856.099
|-
| | 35/31
| | 210.104
| | 2942.857
|-
| | 26/23
| | 212.253
| | 2972.961
|-
| | 17/15
| | 216.687
| | 3035.058
|-
| | 25/22
| | 221.309
| | 3099.808
|-
| | 33/29
| | 223.696
| | 3133.232
|-
| | 8/7
| | 231.174
| | 3237.978
|-
| | 31/27
| | 239.171
| | 3349.982
|-
| | 23/20
| | 241.961
| | 3389.062
|-
| | 38/33
| | 244.240
| | 3420.989
|-
| | 15/13
| | 247.741
| | 3470.026
|-
| | 22/19
| | 253.805
| | 3554.961
|-
| | 29/25
| | 256.950
| | 3599.010
|-
| | 36/31
| | 258.874
| | 3625.968
|-
| | 7/6
| | 266.871
| | 3737.972
|-
| | 34/29
| | 275.378
| | 3857.131
|-
| | 27/23
| | 277.591
| | 3888.120
|-
| | 20/17
| | 281.358
| | 3940.892
|-
| | 33/28
| | 284.447
| | 3984.155
|-
| | 13/11
| | 289.210
| | 4050.864
|-
| | 32/27
| | 294.135
| | 4119.851
|-
| | 19/16
| | 297.513
| | 4167.166
|-
| | 25/21
| | 301.847
| | 4227.864
|-
| | 31/26
| | 304.508
| | 4265.141
|-
| | 6/5
| | 315.641
| | 4421.082
|-
| | 35/29
| | 325.562
| | 4560.044
|-
| | 29/24
| | 327.622
| | 4588.895
|-
| | 23/19
| | 330.761
| | 4632.864
|-
| | 40/33
| | 333.041
| | 4664.791
|-
| | 17/14
| | 336.130
| | 4708.054
|-
| | 28/23
| | 340.552
| | 4769.992
|-
| | 11/9
| | 347.408
| | 4866.027
|-
| | 38/31
| | 352.477
| | 4937.034
|-
| | 27/22
| | 354.547
| | 4966.022
|-
| | 16/13
| | 359.472
| | 5035.009
|-
| | 21/17
| | 365.825
| | 5123.996
|-
| | 26/21
| | 369.747
| | 5178.920
|-
| | 31/25
| | 372.408
| | 5216.197
|-
| | 36/29
| | 374.333
| | 5243.155
|-
| | 5/4
| | 386.314
| | 5410.967
|-
| | 44/35
| | 396.178
| | 5549.138
|-
| | 34/27
| | 399.090
| | 5589.926
|-
| | 29/23
| | 401.303
| | 5620.915
|-
| | 24/19
| | 404.442
| | 5664.884
|-
| | 19/15
| | 409.244
| | 5732.149
|-
| | 33/26
| | 412.745
| | 5781.186
|-
| | 14/11
| | 417.508
| | 5847.895
|-
| | 23/18
| | 424.364
| | 5943.930
|-
| | 32/25
| | 427.373
| | 5986.065
|-
| | 9/7
| | 435.084
| | 6094.078
|-
| | 40/31
| | 441.278
| | 6180.836
|-
| | 31/24
| | 443.081
| | 6206.082
|-
| | 22/17
| | 446.363
| | 6252.051
|-
| | 35/27
| | 449.275
| | 6292.840
|-
| | 13/10
| | 454.214
| | 6362.023
|-
| | 30/23
| | 459.994
| | 6442.988
|-
| | 17/13
| | 464.428
| | 6505.085
|-
| | 38/29
| | 467.936
| | 6554.221
|-
| | 21/16
| | 470.781
| | 6594.071
|-
| | 46/35
| | 473.135
| | 6627.040
|-
| | 25/19
| | 475.114
| | 6654.769
|-
| | 29/22
| | 478.259
| | 6698.818
|-
| | 33/25
| | 480.646
| | 6732.242
|-
| | 4/3
| | 498.045
| | 6975.950
|-
| | 35/26
| | 514.612
| | 7207.998
|-
| | 31/23
| | 516.761
| | 7238.102
|-
| | 27/20
| | 519.551
| | 7277.182
|-
| | 23/17
| | 523.319
| | 7329.954
|-
| | 42/31
| | 525.745
| | 7363.940
|-
| | 19/14
| | 528.687
| | 7405.144
|-
| | 34/25
| | 532.328
| | 7456.141
|-
| | 15/11
| | 536.951
| | 7520.890
|-
| | 26/19
| | 543.015
| | 7605.825
|-
| | 48/35
| | 546.815
| | 7659.061
|-
| | 11/8
| | 551.318
| | 7722.127
|-
| | 40/29
| | 556.737
| | 7798.023
|-
| | 29/21
| | 558.796
| | 7826.873
|-
| | 18/13
| | 563.382
| | 7891.109
|-
| | 25/18
| | 568.717
| | 7965.835
|-
| | 32/23
| | 571.726
| | 8007.971
|-
| | 46/33
| | 575.001
| | 8053.853
|-
| | 7/5
| | 582.512
| | 8159.054
|-
| | 38/27
| | 591.648
| | 8287.017
|-
| | 31/22
| | 593.718
| | 8316.005
|-
| | 24/17
| | 597.000
| | 8361.974
|-
| | 17/12
| | 603.000
| | 8446.026
|-
| | 44/31
| | 606.282
| | 8491.995
|-
| | 27/19
| | 608.352
| | 8520.983
|-
| | 10/7
| | 617.488
| | 8648.946
|-
| | 33/23
| | 624.999
| | 8754.147
|-
| | 23/16
| | 628.274
| | 8800.029
|-
| | 36/25
| | 631.283
| | 8842.165
|-
| | 13/9
| | 636.618
| | 8916.891
|-
| | 42/29
| | 641.204
| | 8981.127
|-
| | 29/20
| | 643.263
| | 9009.977
|-
| | 16/11
| | 648.682
| | 9085.873
|-
| | 35/24
| | 653.185
| | 9148.939
|-
| | 19/13
| | 656.985
| | 9202.175
|-
| | 22/15
| | 663.049
| | 9287.110
|-
| | 25/17
| | 667.672
| | 9351.859
|-
| | 28/19
| | 671.313
| | 9402.856
|-
| | 31/21
| | 674.255
| | 9444.060
|-
| | 34/23
| | 676.681
| | 9478.046
|-
| | 40/27
| | 680.449
| | 9530.818
|-
| | 46/31
| | 683.239
| | 9569.898
|-
| | 52/35
| | 685.388
| | 9600.002
|-
| | 3/2
| | 701.955
| | 9832.050
|-
| | 50/33
| | 719.354
| | 10075.758
|-
| | 44/29
| | 721.741
| | 10109.182
|-
| | 38/25
| | 724.886
| | 10153.231
|-
| | 35/23
| | 726.865
| | 10180.96
|-
| | 32/21
| | 729.219
| | 10213.929
|-
| | 29/19
| | 732.064
| | 10253.779
|-
| | 26/17
| | 735.572
| | 10302.915
|-
| | 23/15
| | 740.006
| | 10365.012
|-
| | 20/13
| | 745.786
| | 10445.977
|-
| | 54/35
| | 750.725
| | 10515.160
|-
| | 17/11
| | 753.637
| | 10555.949
|-
| | 48/31
| | 756.919
| | 10601.918
|-
| | 31/20
| | 758.722
| | 10627.164
|-
| | 14/9
| | 764.916
| | 10713.922
|-
| | 25/16
| | 772.627
| | 10821.935
|-
| | 36/23
| | 775.636
| | 10864.070
|-
| | 11/7
| | 782.492
| | 10960.105
|-
| | 52/33
| | 787.255
| | 11026.814
|-
| | 30/19
| | 790.756
| | 11075.851
|-
| | 19/12
| | 795.558
| | 11143.116
|-
| | 46/29
| | 798.697
| | 11187.085
|-
| | 27/17
| | 800.910
| | 11218.074
|-
| | 35/22
| | 803.822
| | 11258.862
|-
| | 8/5
| | 813.686
| | 11397.033
|-
| | 29/18
| | 825.667
| | 11564.845
|-
| | 50/31
| | 827.592
| | 11591.803
|-
| | 21/13
| | 830.253
| | 11629.080
|-
| | 34/21
| | 834.175
| | 11684.004
|-
| | 13/8
| | 840.528
| | 11772.991
|-
| | 44/27
| | 845.453
| | 11841.978
|-
| | 31/19
| | 847.523
| | 11870.966
|-
| | 18/11
| | 852.592
| | 11941.973
|-
| | 23/14
| | 859.448
| | 12038.008
|-
| | 28/17
| | 863.870
| | 12099.946
|-
| | 33/20
| | 866.959
| | 12143.209
|-
| | 38/23
| | 869.239
| | 12175.136
|-
| | 48/29
| | 872.378
| | 12219.105
|-
| | 58/35
| | 874.438
| | 12247.956
|-
| | 5/3
| | 884.359
| | 12386.918
|-
| | 52/31
| | 895.492
| | 12542.859
|-
| | 42/25
| | 898.153
| | 12580.136
|-
| | 32/19
| | 902.487
| | 12640.834
|-
| | 27/16
| | 905.865
| | 12688.149
|-
| | 22/13
| | 910.790
| | 12757.136
|-
| | 56/33
| | 915.553
| | 12823.845
|-
| | 17/10
| | 918.642
| | 12867.108
|-
| | 46/27
| | 922.409
| | 12919.880
|-
| | 29/17
| | 924.622
| | 12950.869
|-
| | 12/7
| | 933.129
| | 13070.028
|-
| | 31/18
| | 941.126
| | 13182.032
|-
| | 50/29
| | 943.050
| | 13208.990
|-
| | 19/11
| | 946.195
| | 13253.039
|-
| | 26/15
| | 952.259
| | 13337.974
|-
| | 33/19
| | 955.760
| | 13387.011
|-
| | 40/23
| | 958.039
| | 13418.938
|-
| | 54/31
| | 960.829
| | 13458.018
|-
| | 7/4
| | 968.826
| | 13570.022
|-
| | 58/33
| | 976.304
| | 13674.768
|-
| | 44/25
| | 978.691
| | 13708.192
|-
| | 30/17
| | 983.313
| | 13772.942
|-
| | 23/13
| | 987.747
| | 13835.039
|-
| | 62/35
| | 989.896
| | 13865.143
|-
| | 16/9
| | 996.090
| | 13951.901
|-
| | 25/14
| | 1003.802
| | 14059.913
|-
| | 34/19
| | 1007.442
| | 14110.910
|-
| | 52/29
| | 1010.950
| | 14160.046
|-
| | 9/5
| | 1017.596
| | 14253.132
|-
| | 56/31
| | 1023.790
| | 14339.890
|-
| | 38/21
| | 1026.732
| | 14381.094
|-
| | 29/16
| | 1029.577
| | 14420.945
|-
| | 20/11
| | 1034.996
| | 14496.841
|-
| | 31/17
| | 1040.080
| | 14568.056
|-
| | 42/23
| | 1042.507
| | 14602.042
|-
| | 64/35
| | 1044.860
| | 14635.011
|-
| | 11/6
| | 1049.363
| | 14698.077
|-
| | 46/25
| | 1055.647
| | 14786.095
|-
| | 35/19
| | 1057.627
| | 14813.823
|-
| | 24/13
| | 1061.427
| | 14867.059
|-
| | 50/27
| | 1066.762
| | 14941.786
|-
| | 13/7
| | 1071.702
| | 15010.969
|-
| | 54/29
| | 1076.288
| | 15075.205
|-
| | 28/15
| | 1080.557
| | 15135.004
|-
| | 58/31
| | 1084.542
| | 15190.813
|-
| | 15/8
| | 1088.269
| | 15243.017
|-
| | 62/33
| | 1091.763
| | 15291.955
|-
| | 32/17
| | 1095.045
| | 15337.925
|-
| | 66/35
| | 1098.133
| | 15381.187
|-
| | 17/9
| | 1101.045
| | 15421.976
|-
| | 36/19
| | 1106.397
| | 15496.934
|-
| | 19/10
| | 1111.199
| | 15564.198
|-
| | 40/21
| | 1115.533
| | 15624.896
|-
| | 21/11
| | 1119.463
| | 15679.945
|-
| | 44/23
| | 1123.044
| | 15730.097
|-
| | 23/12
| | 1126.319
| | 15775.980
|-
| | 48/25
| | 1129.328
| | 15818.115
|-
| | 25/13
| | 1132.100
| | 15856.944
|-
| | 52/27
| | 1134.663
| | 15892.842
|-
| | 27/14
| | 1137.039
| | 15926.128
|-
| | 56/29
| | 1139.249
| | 15957.077
|-
| | 29/15
| | 1141.308
| | 15985.927
|-
| | 60/31
| | 1143.233
| | 16012.886
|-
| | 31/16
| | 1145.036
| | 16038.132
|-
| | 64/33
| | 1146.727
| | 16061.824
|-
| | 33/17
| | 1148.318
| | 16084.101
|-
| | 68/35
| | 1149.816
| | 16105.086
|-
| | 35/18
| | 1151.230
| | 16124.890
|-
| | 2
| | 1200.000
| | 16808.000
|}
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