Xenharmonic Wiki

Jinn: Difference between revisions

← Older edit
VisualWikitext
Fredg999 (talk | contribs)
autopatrolled, Interface administrators, Sysops
6,129 edits
m Categories
Fredg999 (talk | contribs)
autopatrolled, Interface administrators, Sysops
6,129 edits
Merged into 16808edo
Tag: New redirect
 
Line 1: Line 1:
The '''jinn''' is a [[unit of interval size]] which is defined as 1/16808 of an [[octave]], the step size of [[16808edo]]. 16808edo is distinctly [[consistent]] and through the [[35-odd-limit]], and is a very strong system for intervals less than the [[37-limit]], which includes most of what people find of interest.
#REDIRECT [[16808edo]]
 
Below the intervals of the 35-odd-limit [[tonality diamond]] are tabulated, with the sizes listed in both [[cent]]s and jinns. The worst error occurs for 33/25 and 50/33, which is less than 1/4 of a jinn off.
 
{| class="wikitable center-all"
! 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
| 10180.960
|-
| 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
|}


[[Category:Interval size measures]]
[[Category:16808edo]]
[[Category:16808edo]]
[[Category:Interval size measures]]
Retrieved from "https://en.xen.wiki/w/Jinn"