Harmonic entropy of just intervals

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This is a procedurally generated table of several hundred just intonation intervals between 1/1 and 16/1: roughly evenly spaced with about one interval every 4-5 cents.

The table shows how wide each interval is in cents, as well as showing its harmonic entropy.

For a more general-purpose list of intervals, see Gallery of just intervals.

Methodology

This table was made with Scale Workshop. It was made by starting with 1080ed16 (270edo but treating 16/1 as the period), then using "convert interval values>fraction" with a tolerance of 4.4 cents to convert all the intervals into the nearest simple just interval (according to Scale Workshop's default settings).

Then Scale Workshop's built-in harmonic entropy table was used to get the cents and the harmonic entropy, with all parameters left as default for the column "%, Rényi order 1.0", and all set to default except Réyni order for the column "%, Rényi order 7.0" (which was as the name suggests).

Table of intervals

1/1 to 2/1

Harmonic entropy of just intervals size 0 to 1200¢
Just interval Size (cents) Entropy (Réyni 1.0) Entropy (Réyni 7.0)
1/1 0.000 0.000 0.000
390/389 4.445 3.760 0.907
195/194 8.901 14.289 3.681
130/129 13.369 29.536 8.458
97/96 17.940 47.113 15.574
78/77 22.339 63.285 24.669
65/64 26.841 77.192 36.309
56/55 31.194 87.233 49.779
49/48 35.697 94.083 65.929
43/42 40.737 98.235 86.459
39/38 44.970 99.690 99.596
35/34 50.184 99.958 98.660
32/31 54.964 99.447 96.764
30/29 58.692 98.855 95.355
28/27 62.961 98.131 93.820
26/25 67.900 97.339 92.155
24/23 73.681 96.526 90.360
23/22 76.956 96.119 89.411
22/21 80.537 95.722 88.427
21/20 84.467 95.323 87.402
20/19 88.801 94.928 86.324
19/18 93.603 94.534 85.175
18/17 98.955 94.138 83.939
17/16 104.955 93.748 82.606
16/15 111.731 93.375 81.182
15/14 119.443 93.016 79.687
14/13 128.298 92.675 78.137
27/25 133.238 92.514 77.302
13/12 138.573 92.347 76.478
12/11 150.637 92.045 74.569
23/21 157.493 91.881 73.578
34/31 159.920 91.829 72.985
11/10 165.004 91.727 72.187
21/19 173.268 91.551 71.706
41/37 177.718 91.462 70.122
10/9 182.404 91.367 69.257
19/17 192.558 91.175 70.455
9/8 203.910 91.000 65.852
35/31 210.104 90.909 67.768
17/15 216.687 90.809 70.456
25/22 221.309 90.746 66.917
49/43 226.134 90.706 63.360
8/7 231.174 90.701 62.087
23/20 241.961 90.726 68.150
15/13 247.741 90.623 72.999
22/19 253.805 90.413 66.529
29/25 256.950 90.286 62.777
57/49 261.816 90.135 58.880
7/6 266.871 90.099 57.449
27/23 277.591 90.529 63.339
20/17 281.358 90.732 68.028
13/11 289.210 90.867 75.314
19/16 297.513 90.317 69.059
25/21 301.847 89.806 62.212
37/31 306.308 89.268 56.838
73/61 310.905 88.838 53.461
6/5 315.641 88.670 52.311
35/29 325.562 89.348 57.574
23/19 330.761 90.058 64.423
17/14 336.130 90.813 72.542
28/23 340.552 91.327 73.081
11/9 347.408 91.786 71.098
16/13 359.472 91.181 76.294
21/17 365.825 90.053 68.023
31/25 372.408 88.498 56.195
46/37 376.930 87.477 50.618
5/4 386.314 86.433 45.966
89/71 391.184 86.736 47.224
44/35 396.178 87.574 51.114
29/23 401.303 88.739 57.835
24/19 404.442 89.458 63.288
19/15 409.244 90.412 72.808
14/11 417.508 91.306 75.636
23/18 424.364 91.415 69.571
9/7 435.084 91.284 63.938
49/38 440.139 91.361 65.252
22/17 446.363 91.641 69.925
13/10 454.214 92.079 74.367
17/13 464.428 91.930 78.493
21/16 470.781 90.841 75.987
25/19 475.114 89.528 65.532
29/22 478.259 88.318 58.453
41/31 484.027 85.801 48.135
61/46 488.610 83.904 42.464
121/91 493.282 82.505 38.981
4/3 498.045 81.976 37.808
67/50 506.680 83.591 41.793
43/32 511.518 85.531 47.459
31/23 516.761 87.848 56.398
23/17 523.319 90.284 71.419
19/14 528.687 91.567 79.786
15/11 536.951 92.317 76.271
26/19 543.015 92.254 72.269
37/27 545.479 92.154 70.833
11/8 551.318 91.819 69.323
18/13 563.382 90.784 72.045
25/18 568.717 90.231 64.851
32/23 571.726 89.927 60.988
67/48 577.352 89.498 56.217
7/5 582.512 89.352 54.788
38/27 591.648 89.727 59.203
24/17 597.000 90.174 65.794
17/12 603.000 90.642 73.141
27/19 608.352 90.950 69.816
10/7 617.488 91.230 65.567
43/30 623.249 91.380 67.163
23/16 628.274 91.555 70.507
13/9 636.618 92.012 73.029
16/11 648.682 92.948 77.137
19/13 656.985 93.440 80.684
22/15 663.049 93.268 83.656
25/17 667.672 92.484 84.338
31/21 674.255 89.925 67.557
37/25 678.717 87.087 55.540
49/33 684.379 82.440 43.304
64/43 688.482 78.794 36.567
100/67 693.320 74.956 30.926
3/2 701.955 71.779 27.000
182/121 706.718 72.810 28.196
92/61 711.390 75.553 31.686
62/41 715.973 79.322 37.349
47/31 720.471 83.329 45.071
38/25 724.886 86.938 54.740
32/21 729.219 89.774 66.231
26/17 735.572 92.399 83.502
23/15 740.006 93.257 83.983
20/13 745.786 93.525 81.149
17/11 753.637 93.117 77.675
31/20 758.722 92.691 75.497
14/9 764.916 92.202 73.877
25/16 772.627 91.717 71.040
47/30 777.238 91.493 68.327
11/7 782.492 91.272 67.068
30/19 790.756 90.881 70.442
19/12 795.558 90.588 71.776
27/17 800.910 90.222 65.504
35/22 803.822 90.033 62.109
67/42 808.526 89.806 58.378
8/5 813.686 89.732 56.944
37/23 823.070 90.195 61.505
21/13 830.253 90.896 70.181
34/21 834.175 91.296 72.501
13/8 840.528 91.817 71.613
18/11 852.592 91.703 77.070
23/14 859.448 90.557 73.426
28/17 863.870 89.342 63.482
43/26 870.990 86.943 50.773
63/38 875.223 85.597 45.746
5/3 884.359 84.167 41.331
127/76 888.909 84.530 42.413
62/37 893.692 85.623 45.908
42/25 898.153 87.045 51.349
32/19 902.487 88.529 58.647
22/13 910.790 90.839 76.249
17/10 918.642 91.911 76.123
29/17 924.622 92.114 71.669
12/7 933.129 91.936 68.444
43/25 938.890 91.611 70.144
19/11 946.195 90.913 74.112
26/15 952.259 90.085 65.732
47/27 959.642 89.027 55.751
7/4 968.826 88.381 51.230
93/53 973.486 88.539 52.340
44/25 978.691 89.061 56.297
30/17 983.313 89.680 62.180
23/13 987.747 90.241 69.519
16/9 996.090 90.836 75.386
25/14 1003.802 90.734 68.192
34/19 1007.442 90.562 63.920
9/5 1017.596 90.182 58.686
74/41 1022.282 90.185 59.936
38/21 1026.732 90.292 63.244
20/11 1034.996 90.598 71.948
31/17 1040.080 90.750 69.295
53/29 1043.927 90.833 66.508
11/6 1049.363 90.918 64.951
24/13 1061.427 91.130 70.596
37/20 1065.030 91.211 71.005
13/7 1071.702 91.394 69.664
28/15 1080.557 91.657 72.058
15/8 1088.269 91.912 73.260
32/17 1095.045 92.173 74.505
17/9 1101.045 92.438 75.914
36/19 1106.397 92.704 77.039
19/10 1111.199 92.968 78.213
21/11 1119.463 93.512 80.351
23/12 1126.319 94.067 82.319
25/13 1132.100 94.649 84.128
27/14 1137.039 95.215 85.797
29/15 1141.308 95.749 87.342
31/16 1145.036 96.208 88.775
33/17 1148.318 96.553 90.106
37/19 1153.831 96.788 92.494
41/21 1158.281 96.316 93.767
47/24 1163.552 94.342 79.933
55/28 1168.806 90.065 61.125
63/32 1172.736 84.977 48.910
77/39 1177.661 76.268 35.956
95/48 1181.872 67.226 26.975
129/65 1186.631 56.465 19.139
193/97 1191.053 47.543 14.030
389/195 1195.555 41.234 10.933
2/1 1200.000 39.006 9.915

2/1 to 4/1

Harmonic entropy of just intervals size 1200 to 2400¢
Just interval Size (cents) Entropy (Réyni 1.0) Entropy (Réyni 7.0)
2/1 1200.000 39.006 9.915
389/194 1204.456 41.246 10.916
195/97 1208.901 47.467 13.941
129/64 1213.473 56.700 19.201
97/48 1217.940 66.810 26.498
77/38 1222.631 76.861 36.491
65/32 1226.841 84.341 47.508
55/27 1231.767 90.672 62.844
49/24 1235.697 93.888 76.914
43/21 1240.737 96.081 92.874
39/19 1244.970 96.733 92.933
35/17 1250.184 96.662 90.721
31/15 1256.767 95.974 88.150
29/14 1260.751 95.470 86.704
27/13 1265.337 94.913 85.129
25/12 1270.672 94.335 83.403
23/11 1276.956 93.767 81.510
21/10 1284.467 93.226 79.440
40/19 1288.801 92.971 78.339
19/9 1293.603 92.713 77.210
17/8 1304.955 92.212 74.752
32/15 1311.731 91.962 73.263
15/7 1319.443 91.713 71.565
43/20 1325.204 91.549 71.747
28/13 1328.298 91.468 70.997
54/25 1333.238 91.338 68.520
13/6 1338.573 91.201 67.254
24/11 1350.637 90.891 70.532
35/16 1355.140 90.798 66.822
68/31 1359.920 90.737 63.227
11/5 1365.004 90.741 61.857
31/14 1376.210 90.799 68.226
20/9 1382.404 90.645 74.073
29/13 1389.050 90.242 66.560
47/21 1394.726 89.813 59.470
9/4 1403.910 89.442 55.051
79/35 1409.397 89.622 56.694
43/19 1414.005 89.985 60.526
25/11 1421.309 90.755 70.259
41/18 1425.152 91.119 73.291
16/7 1431.174 91.447 72.927
23/10 1441.961 90.803 75.583
30/13 1447.741 89.775 66.083
37/16 1451.344 88.987 59.558
58/25 1456.950 87.767 52.003
121/52 1462.108 86.960 47.981
7/3 1466.871 86.699 46.764
61/26 1476.357 87.725 51.478
40/17 1481.358 88.788 57.784
33/14 1484.447 89.469 62.970
26/11 1489.210 90.374 72.202
19/8 1497.513 91.263 75.523
31/13 1504.508 91.358 69.217
67/28 1510.481 91.232 64.457
12/5 1515.641 91.162 63.074
29/12 1527.622 91.519 69.720
17/7 1536.130 92.120 73.203
39/16 1542.483 92.492 74.937
22/9 1547.408 92.527 77.617
27/11 1554.547 91.809 80.862
32/13 1559.472 90.533 72.653
37/15 1563.075 89.159 63.401
47/19 1567.994 86.769 52.637
62/25 1572.408 84.387 45.145
97/39 1577.413 81.915 39.142
5/2 1586.314 79.831 34.998
178/71 1591.184 80.481 36.263
93/37 1595.647 82.086 39.618
63/25 1600.108 84.302 45.074
43/17 1606.562 87.719 56.694
38/15 1609.244 88.973 62.811
28/11 1617.508 91.634 80.890
23/9 1624.364 92.434 78.292
18/7 1635.084 92.172 74.096
49/19 1640.139 91.840 72.388
31/12 1643.081 91.658 70.218
57/22 1648.150 91.431 66.376
13/5 1654.214 91.300 64.521
34/13 1664.428 91.237 69.666
21/8 1670.781 90.960 75.611
29/11 1678.259 90.106 69.169
37/14 1682.518 89.391 61.489
61/23 1688.610 88.342 53.451
117/44 1693.120 87.764 50.019
8/3 1698.045 87.525 48.727
67/25 1706.680 88.237 52.642
43/16 1711.518 89.069 58.264
27/10 1719.551 90.435 71.995
19/7 1728.687 91.142 74.726
49/18 1733.742 91.064 72.204
30/11 1736.951 90.897 68.468
41/15 1740.794 90.654 63.845
85/31 1746.234 90.327 59.456
11/4 1751.318 90.168 58.141
47/17 1760.551 90.312 62.711
25/9 1768.717 90.677 71.476
39/14 1773.657 90.867 69.426
67/24 1777.352 90.985 66.929
14/5 1782.512 91.109 65.552
31/11 1793.718 91.367 70.604
17/6 1803.000 91.650 71.316
37/13 1810.816 91.957 73.275
20/7 1817.488 92.272 75.172
43/15 1823.249 92.602 76.461
23/8 1828.274 92.938 77.918
26/9 1836.618 93.633 80.434
29/10 1843.263 94.306 82.719
32/11 1848.682 94.862 84.787
35/12 1853.185 95.221 86.662
38/13 1856.985 95.305 88.363
41/14 1860.236 95.088 89.839
47/16 1865.507 93.821 85.308
53/18 1869.595 91.704 71.338
65/22 1875.523 86.386 52.868
77/26 1879.616 81.103 42.296
98/33 1884.379 73.722 32.257
131/44 1888.790 66.544 25.130
200/67 1893.320 60.026 19.966
3/1 1901.955 54.245 16.105
367/122 1906.679 56.071 17.287
187/62 1911.238 60.881 20.636
127/42 1915.641 67.404 25.947
94/31 1920.471 75.286 34.142
76/25 1924.886 81.991 43.816
64/21 1929.219 87.364 55.340
55/18 1933.722 91.364 69.421
46/15 1940.006 94.439 89.145
43/14 1942.692 95.041 90.247
37/12 1949.389 95.375 87.295
34/11 1953.637 95.100 85.466
31/10 1958.722 94.593 83.442
28/9 1964.916 93.929 81.197
25/8 1972.627 93.206 78.683
47/15 1977.238 92.840 77.296
22/7 1982.492 92.487 75.938
60/19 1990.756 92.024 73.400
19/6 1995.558 91.813 72.533
54/17 2000.910 91.606 72.088
35/11 2003.822 91.516 71.041
67/21 2008.526 91.378 68.628
16/5 2013.686 91.231 67.453
29/9 2025.667 90.874 70.384
42/13 2030.253 90.752 66.250
81/25 2035.193 90.679 62.336
13/4 2040.528 90.693 60.820
49/15 2049.383 90.886 64.842
36/11 2052.592 90.938 68.153
23/7 2059.448 90.832 75.166
33/10 2066.959 90.254 67.768
43/13 2070.990 89.797 61.448
63/19 2075.223 89.312 56.456
10/3 2084.359 88.773 52.134
127/38 2088.909 88.907 53.292
57/17 2094.513 89.429 57.727
37/11 2100.026 90.130 65.241
27/8 2105.865 90.864 73.447
44/13 2110.790 91.364 71.705
17/5 2118.642 91.902 68.767
58/17 2124.622 92.131 70.441
24/7 2133.129 92.030 76.367
31/9 2141.126 91.024 77.921
38/11 2146.195 89.734 67.441
45/13 2149.696 88.572 59.791
59/17 2154.216 86.904 51.732
94/27 2159.642 85.001 44.911
7/2 2168.826 83.459 40.465
186/53 2173.486 83.881 41.609
95/27 2177.962 84.993 44.862
60/17 2183.313 86.860 51.519
46/13 2187.747 88.508 59.311
39/11 2191.165 89.654 66.669
32/9 2196.090 90.939 77.237
25/7 2203.802 91.985 76.398
43/12 2209.563 92.143 72.270
18/5 2217.596 91.868 69.428
65/18 2222.931 91.484 70.834
29/8 2229.577 90.831 72.163
40/11 2234.996 90.215 64.579
51/14 2238.085 89.874 60.435
117/32 2244.438 89.346 54.932
11/3 2249.363 89.211 53.592
59/16 2259.172 89.729 58.601
37/10 2265.030 90.282 66.350
26/7 2271.702 90.802 74.045
41/11 2277.744 91.024 68.631
15/4 2288.269 91.072 63.118
79/21 2293.756 91.101 64.721
34/9 2301.045 91.261 70.248
72/19 2306.397 91.442 71.037
19/5 2311.199 91.637 70.331
42/11 2319.463 92.015 72.701
23/6 2326.319 92.389 74.967
27/7 2337.039 93.165 78.060
31/8 2345.036 93.896 80.913
35/9 2351.230 94.391 83.420
39/10 2356.169 94.508 85.644
47/12 2363.552 93.521 86.956
55/14 2368.806 91.325 71.979
63/16 2372.736 88.598 59.863
75/19 2377.069 84.455 48.359
95/24 2381.872 78.764 37.948
127/32 2386.422 72.968 30.343
191/48 2390.960 67.739 24.940
387/97 2395.532 64.080 21.690
4/1 2400.000 62.798 20.634

4/1 to 8/1

Harmonic entropy of just intervals size 2400 to 3600¢
Just interval Size (cents) Entropy (Réyni 1.0) Entropy (Réyni 7.0)
4/1 2400.000 62.798 20.634
389/97 2404.456 64.076 21.670
193/48 2408.993 67.714 24.873
129/32 2413.473 72.852 30.181
97/24 2417.940 78.558 37.612
77/19 2422.631 84.164 47.718
65/16 2426.841 88.282 58.797
53/13 2432.977 92.286 78.103
49/12 2435.697 93.337 85.959
41/10 2442.749 94.509 86.517
37/9 2447.434 94.478 84.366
33/8 2453.273 94.049 81.900
29/7 2460.751 93.336 78.995
25/6 2470.672 92.507 75.746
46/11 2476.956 92.096 73.420
67/16 2479.307 91.958 72.499
21/5 2484.467 91.696 71.456
59/14 2490.346 91.443 71.514
38/9 2493.603 91.333 70.272
55/13 2497.104 91.229 67.898
17/4 2504.955 91.063 65.043
64/15 2511.731 90.911 67.501
30/7 2519.443 90.589 72.480
43/10 2525.204 90.237 65.850
56/13 2528.298 90.045 62.065
108/25 2533.238 89.798 57.981
13/3 2538.573 89.729 56.445
61/14 2548.059 90.228 61.167
35/8 2555.140 90.942 69.998
57/13 2558.940 91.316 72.908
22/5 2565.004 91.732 72.619
31/7 2576.210 91.266 76.993
40/9 2582.404 90.118 68.724
49/11 2586.334 89.120 60.757
67/15 2591.038 87.824 53.151
103/23 2595.526 86.696 48.055
9/2 2603.910 85.700 44.227
167/37 2609.101 86.069 45.583
86/19 2614.005 87.026 49.488
59/13 2618.644 88.237 55.541
41/9 2625.152 89.931 67.735
32/7 2631.174 91.047 76.544
23/5 2641.961 91.557 72.891
37/8 2651.344 90.918 69.333
51/11 2655.592 90.538 64.082
121/26 2662.108 90.078 58.707
14/3 2666.871 89.943 57.563
61/13 2676.357 90.178 62.362
47/10 2679.193 90.338 65.540
33/7 2684.447 90.654 71.433
52/11 2689.210 90.913 70.124
19/4 2697.513 91.250 66.691
81/17 2702.865 91.441 67.985
43/9 2707.608 91.620 70.764
67/14 2710.481 91.756 72.192
24/5 2715.641 92.033 73.157
29/6 2727.622 92.932 77.031
34/7 2736.130 93.640 80.373
39/8 2742.483 93.885 83.233
44/9 2747.408 93.589 85.604
54/11 2754.547 91.677 77.116
64/13 2759.472 88.918 62.079
74/15 2763.075 86.111 52.510
94/19 2767.994 81.362 41.670
129/26 2772.945 76.173 33.364
199/40 2777.636 71.787 27.906
5/1 2786.314 68.009 23.962
361/72 2791.116 69.236 25.203
186/37 2795.647 72.363 28.611
126/25 2800.108 76.655 34.095
91/18 2805.444 82.237 43.431
76/15 2809.244 85.883 51.934
61/12 2814.930 90.123 67.494
51/10 2820.597 92.661 84.199
46/9 2824.364 93.525 86.193
41/8 2829.062 93.937 84.008
36/7 2835.084 93.804 81.270
31/6 2843.081 93.178 78.031
57/11 2848.150 92.750 76.045
26/5 2854.214 92.307 74.485
47/9 2861.597 91.870 71.896
21/4 2870.781 91.425 68.672
79/15 2876.268 91.152 70.103
37/7 2882.518 90.820 70.829
53/10 2887.191 90.579 66.050
117/22 2893.120 90.378 61.195
16/3 2898.045 90.360 59.869
59/11 2907.854 90.739 64.773
43/8 2911.518 90.933 68.839
27/5 2919.551 91.115 74.991
65/12 2924.886 90.826 75.969
38/7 2928.687 90.366 72.997
49/9 2933.742 89.479 63.506
60/11 2936.951 88.814 58.100
93/17 2942.035 87.822 51.716
181/33 2946.542 87.184 48.353
11/2 2951.318 86.954 47.153
94/17 2960.551 87.918 51.700
61/11 2965.567 88.943 57.950
50/9 2968.717 89.611 63.197
39/7 2973.657 90.516 72.515
67/12 2977.352 91.004 76.031
28/5 2982.512 91.342 75.084
45/8 2990.224 91.271 68.577
62/11 2993.718 91.121 64.852
17/3 3003.000 90.796 60.390
91/16 3009.354 90.823 62.564
40/7 3017.488 91.140 70.111
63/11 3021.418 91.351 71.253
23/4 3028.274 91.759 69.888
52/9 3036.618 92.295 72.655
29/5 3043.263 92.782 75.650
35/6 3053.185 93.524 79.261
41/7 3060.236 93.677 82.545
47/8 3065.507 93.159 84.962
53/9 3069.595 92.138 81.317
65/11 3075.523 89.379 64.058
77/13 3079.616 86.553 53.435
95/16 3083.827 83.035 44.350
131/22 3088.790 78.596 36.061
197/33 3093.189 75.071 30.903
6/1 3101.955 71.731 26.753
367/61 3106.679 72.714 27.900
187/31 3111.238 75.340 31.250
127/21 3115.641 78.905 36.582
91/15 3121.085 83.711 46.033
73/12 3125.834 87.463 56.863
61/10 3130.571 90.313 70.005
55/9 3133.722 91.647 79.353
49/8 3137.652 92.720 84.646
43/7 3142.692 93.315 82.594
37/6 3149.389 93.281 79.454
31/5 3158.722 92.634 75.931
56/9 3164.916 92.175 73.112
25/4 3172.627 91.679 70.854
69/11 3178.911 91.336 71.355
44/7 3182.492 91.164 69.795
63/10 3186.422 91.034 66.313
120/19 3190.756 90.949 63.284
19/3 3195.558 90.954 62.086
127/20 3200.108 91.016 63.188
51/8 3206.910 91.113 68.646
32/5 3213.686 90.949 75.401
45/7 3221.398 90.200 68.953
58/9 3225.667 89.582 61.610
84/13 3230.253 88.880 55.552
162/25 3235.193 88.287 51.486
13/2 3240.528 88.036 49.983
98/15 3249.383 88.679 54.121
59/9 3255.262 89.542 61.420
46/7 3259.448 90.160 68.593
33/5 3266.959 90.915 75.373
53/8 3273.505 91.119 68.956
20/3 3284.359 91.038 63.048
127/19 3288.909 91.050 64.127
47/7 3296.681 91.284 69.942
27/4 3305.865 91.845 72.072
61/9 3312.975 92.403 74.047
34/5 3318.642 92.846 76.869
41/6 3327.107 93.164 80.690
48/7 3333.129 92.684 83.653
55/8 3337.632 91.625 79.909
62/9 3341.126 90.272 70.109
76/11 3346.195 87.464 56.641
97/14 3351.070 83.990 46.182
125/18 3355.031 80.945 39.535
195/28 3359.970 77.500 33.579
7/1 3368.826 74.586 29.390
379/54 3373.400 75.394 30.489
190/27 3377.962 77.639 33.801
127/18 3382.512 80.826 39.313
92/13 3387.747 84.821 48.386
78/11 3391.165 87.227 55.880
64/9 3396.090 90.022 68.814
50/7 3403.802 92.504 83.841
43/6 3409.563 93.087 81.264
36/5 3417.596 92.889 77.539
65/9 3422.931 92.505 74.973
29/4 3429.577 91.982 73.165
51/7 3438.085 91.477 70.297
117/16 3444.438 91.266 65.747
22/3 3449.363 91.188 64.411
59/8 3459.172 91.036 69.063
37/5 3465.030 90.729 74.001
52/7 3471.702 90.110 66.126
67/9 3475.397 89.685 60.509
97/13 3479.368 89.251 55.971
15/2 3488.269 88.748 51.847
158/21 3493.756 88.946 53.484
83/11 3498.729 89.408 57.716
53/7 3504.679 90.087 66.089
38/5 3511.199 90.725 74.056
84/11 3519.463 91.165 67.580
23/3 3526.319 91.334 65.218
77/10 3533.830 91.570 67.961
54/7 3537.039 91.735 70.328
31/4 3545.036 92.279 73.654
70/9 3551.230 92.737 75.346
39/5 3556.169 92.976 77.758
47/6 3563.552 92.726 81.598
55/7 3568.806 91.736 80.615
63/8 3572.736 90.390 70.693
71/9 3575.787 88.962 62.507
95/12 3581.872 85.279 48.938
127/16 3586.422 82.182 41.351
191/24 3590.960 79.377 35.966
383/48 3595.486 77.393 32.761
8/1 3600.000 76.672 31.713

8/1 to 16/1

Harmonic entropy of just intervals size 3600 to 4800¢
Just interval Size (cents) Entropy (Réyni 1.0) Entropy (Réyni 7.0)
8/1 3600.000 76.672 31.713
385/48 3604.503 77.364 32.804
193/24 3608.993 79.306 36.012
129/16 3613.473 82.060 41.323
97/12 3617.940 85.094 48.721
73/9 3623.879 88.737 61.801
65/8 3626.841 90.169 69.646
57/7 3630.642 91.549 79.669
49/6 3635.697 92.628 82.024
41/5 3642.749 93.023 78.239
33/4 3653.273 92.507 74.177
91/11 3658.036 92.181 72.380
58/7 3660.751 92.011 70.627
25/3 3670.672 91.520 66.415
117/14 3675.612 91.277 67.716
67/8 3679.307 91.059 70.190
42/5 3684.467 90.661 72.830
59/7 3690.346 90.106 65.391
110/13 3697.104 89.474 57.492
17/2 3704.955 89.148 54.268
128/15 3711.731 89.402 56.734
77/9 3716.234 89.785 61.038
60/7 3719.443 90.106 65.332
43/5 3725.204 90.677 72.770
95/11 3732.509 91.255 69.106
26/3 3738.573 91.610 67.183
61/7 3748.059 92.151 71.040
35/4 3755.140 92.594 74.884
79/9 3760.627 92.837 76.786
44/5 3765.004 92.808 78.930
53/6 3771.550 92.065 81.714
62/7 3776.210 90.798 73.622
71/8 3779.697 89.397 64.348
98/11 3786.334 85.814 49.724
134/15 3791.038 82.979 42.173
206/23 3795.526 80.585 37.158
9/1 3803.910 78.487 33.500
343/38 3808.965 79.252 34.878
181/20 3813.501 81.100 38.408
118/13 3818.644 84.004 45.035
91/10 3823.040 86.618 52.905
73/8 3827.789 89.122 63.684
64/7 3831.174 90.519 72.620
55/6 3835.677 91.815 81.602
46/5 3841.961 92.648 79.540
37/4 3851.344 92.585 75.474
65/7 3858.015 92.199 71.715
121/13 3862.108 91.941 69.445
28/3 3866.871 91.644 68.437
47/5 3879.193 90.732 71.679
66/7 3884.447 90.277 65.124
85/9 3887.359 90.041 61.645
19/2 3897.513 89.594 56.279
181/19 3902.302 89.701 57.538
86/9 3907.608 90.028 61.747
67/7 3910.481 90.256 65.199
48/5 3915.641 90.728 71.780
29/3 3927.622 91.657 69.328
97/10 3933.582 92.028 70.853
68/7 3936.130 92.168 72.306
39/4 3942.483 92.425 76.055
49/5 3951.338 92.127 80.025
59/6 3957.217 91.041 78.171
69/7 3961.403 89.683 67.696
89/9 3966.970 87.167 54.700
129/13 3972.945 83.992 44.361
199/20 3977.636 81.728 38.911
10/1 3986.314 79.780 34.989
361/36 3991.116 80.437 36.252
181/18 3995.905 82.193 39.947
121/12 4000.681 84.621 46.056
91/9 4005.444 87.182 54.555
71/7 4010.871 89.704 67.126
61/6 4014.930 91.082 77.529
51/5 4020.597 92.220 80.758
41/4 4029.062 92.605 76.712
72/7 4035.084 92.356 73.073
31/3 4043.081 91.796 70.334
83/8 4050.047 91.222 71.949
52/5 4054.214 90.858 70.652
94/9 4061.597 90.262 61.915
21/2 4070.781 89.908 57.273
179/17 4075.624 89.990 58.448
74/7 4082.518 90.399 64.359
53/5 4087.191 90.789 69.995
117/11 4093.120 91.311 71.041
32/3 4098.045 91.721 70.066
75/7 4105.757 92.214 72.572
43/4 4111.518 92.328 76.211
54/5 4119.551 91.684 80.063
65/6 4124.886 90.424 72.814
76/7 4128.687 89.080 63.335
87/8 4131.532 87.858 56.993
120/11 4136.951 85.258 47.263
186/17 4142.035 82.949 40.960
362/33 4146.542 81.497 37.654
11/1 4151.318 80.923 36.487
199/18 4160.040 82.753 40.536
122/11 4165.567 85.227 47.248
89/8 4170.880 87.785 56.740
78/7 4173.657 88.990 62.875
67/6 4177.352 90.328 72.066
56/5 4182.512 91.600 80.389
45/4 4190.224 92.309 76.901
79/7 4195.711 92.234 73.551
34/3 4203.000 91.759 71.407
91/8 4209.354 91.208 72.159
57/5 4213.154 90.874 70.065
80/7 4217.488 90.537 65.217
126/11 4221.418 90.300 61.683
23/2 4228.274 90.141 59.271
104/9 4236.618 90.448 62.997
58/5 4243.263 90.982 70.207
35/3 4253.185 91.865 72.236
117/10 4258.124 92.171 73.294
47/4 4265.507 92.188 77.572
59/5 4272.858 91.253 79.374
71/6 4277.742 89.927 69.007
95/8 4283.827 87.551 55.324
131/11 4288.790 85.337 46.968
191/16 4292.915 83.658 42.013
12/1 4301.955 81.853 37.504
361/30 4306.757 82.366 38.662
181/15 4311.546 83.790 42.265
121/10 4316.322 85.773 48.300
85/7 4322.443 88.421 59.579
73/6 4325.834 89.679 67.466
61/5 4330.571 91.015 78.002
49/4 4337.652 92.004 77.028
86/7 4342.692 92.130 74.003
37/3 4349.389 91.861 72.160
62/5 4358.722 91.180 69.278
87/7 4362.706 90.922 65.101
25/2 4372.627 90.671 60.096
163/13 4377.946 90.837 61.619
88/7 4382.492 91.128 65.187
63/5 4386.422 91.450 69.379
101/8 4389.854 91.745 72.115
38/3 4395.558 92.186 72.796
127/10 4400.108 92.375 73.739
51/4 4406.910 92.143 77.501
64/5 4413.686 90.999 75.769
90/7 4421.398 88.468 58.207
116/9 4425.667 86.712 50.516
181/14 4430.989 84.615 43.643
337/26 4435.398 83.344 40.239
13/1 4440.528 82.766 38.877
196/15 4449.383 84.323 43.108
131/10 4453.794 85.956 48.319
92/7 4459.448 88.265 58.011
79/6 4462.582 89.429 64.808
66/5 4466.959 90.754 75.179
53/4 4473.505 91.921 78.063
40/3 4484.359 92.092 73.638
107/8 4489.760 91.736 72.281
67/5 4492.993 91.487 69.568
94/7 4496.681 91.231 65.916
27/2 4505.865 90.886 61.598
149/11 4511.684 90.972 63.372
68/5 4518.642 91.340 69.503
41/3 4527.107 91.810 73.901
55/4 4537.632 91.476 77.976
69/5 4543.916 90.311 72.427
97/7 4551.070 88.055 56.667
125/9 4555.031 86.605 50.022
195/14 4559.970 84.931 44.083
14/1 4568.826 83.521 39.954
379/27 4573.400 83.942 41.088
183/13 4578.312 85.179 44.783
127/9 4582.512 86.647 49.967
85/6 4589.314 89.132 62.314
71/5 4593.383 90.358 71.686
57/4 4599.468 91.555 78.226
100/7 4603.802 91.933 76.083
43/3 4609.563 91.963 74.300
72/5 4617.596 91.554 69.486
101/7 4621.028 91.360 66.298
29/2 4629.577 91.126 62.605
131/9 4636.198 91.269 64.909
73/5 4641.476 91.513 69.532
117/8 4644.438 91.650 72.268
44/3 4649.363 91.788 74.668
59/4 4659.172 91.167 78.067
74/5 4665.030 89.937 69.658
89/6 4668.925 88.775 61.044
134/9 4675.397 86.563 49.961
194/13 4679.368 85.312 45.361
15/1 4688.269 83.951 41.161
331/22 4693.507 84.433 42.631
181/12 4697.860 85.477 46.079
121/8 4702.636 87.013 52.174
91/6 4707.399 88.619 60.650
76/5 4711.199 89.736 68.979
61/4 4716.885 90.936 78.094
46/3 4726.319 91.578 75.085
77/5 4733.830 91.363 69.891
108/7 4737.039 91.235 67.108
31/2 4745.036 91.079 63.942
140/9 4751.230 91.213 65.968
78/5 4756.169 91.411 70.041
47/3 4763.552 91.583 75.574
63/4 4772.736 90.874 77.783
79/5 4778.223 89.704 67.807
95/6 4781.872 88.659 60.160
127/8 4786.422 87.219 52.446
191/12 4790.960 85.884 46.901
383/24 4795.486 84.936 43.524
16/1 4800.000 84.596 42.308

See also

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