Xenharmonic Wiki

Harmonic entropy of just intervals: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
mNo edit summary
Eufalesio (talk | contribs)
autopatrolled
629 edits
m dumb wording
 
(10 intermediate revisions by 2 users not shown)
Line 1: Line 1:
This is a procedurally generated table of several hundred [[just intonation]] intervals between [[1/1]] and [[8/1]]: roughly evenly spaced with about one interval every 4-5 [[cents]].
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]].
The table shows how wide each interval is in cents, as well as showing its [[harmonic entropy]].
Line 6: Line 6:


== Methodology ==
== Methodology ==
This table was made with [[Scale Workshop]]. It was made by starting with 810ed8 ([[270edo]] but treating 8/1 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).  
This table was made with [[Scale Workshop]]. It was made by starting with [[270edo]] across four octaves, then using "convert interval values > fraction" with a tolerance of 4.4{{c}} 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).
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 ==
== Table of intervals ==
 
=== 1/1 to 2/1 ===
=== 1/1 to 3/2 ===
{| class="wikitable mw-collapsible sortable"
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
|+ style="font-size: 105%;" | Harmonic entropy of just intervals size 0 to 1200{{c}}
! Ratio !! Size (cents) !! Entropy <br>(%, Rényi order 1.0)
|-
!Entropy <br>(%, Rényi order 7.0) !! Comments
! 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
|-
|-
| [[1/1]] || 0.000 || 0.000
| [[18/17]] || 98.955 || 94.138 || 83.939
| ||  
|-
|-
| [[390/389]] || 4.445 || 3.760
| [[17/16]] || 104.955 || 93.748 || 82.606
| ||  
|-
|-
| [[195/194]] || 8.901 || 14.289
| [[16/15]] || 111.731 || 93.375 || 81.182
| ||  
|-
|-
| [[130/129]] || 13.369 || 29.536
| [[15/14]] || 119.443 || 93.016 || 79.687
| ||  
|-
|-
| [[97/96]] || 17.940 || 47.113
| [[14/13]] || 128.298 || 92.675 || 78.137
| ||  
|-
|-
| [[78/77]] || 22.339 || 63.285
| [[27/25]] || 133.238 || 92.514 || 77.302
| ||  
|-
|-
| [[65/64]] || 26.841 || 77.192
| [[13/12]] || 138.573 || 92.347 || 76.478
| ||  
|-
|-
| [[56/55]] || 31.194 || 87.233
| [[12/11]] || 150.637 || 92.045 || 74.569
| ||  
|-
|-
| [[49/48]] || 35.697 || 94.083
| [[23/21]] || 157.493 || 91.881 || 73.578
| ||  
|-
|-
| [[43/42]] || 40.737 || 98.235
| [[34/31]] || 159.920 || 91.829 || 72.985
| ||  
|-
|-
| [[39/38]] || 44.970 || 99.690
| [[11/10]] || 165.004 || 91.727 || 72.187
| ||  
|-
|-
| [[35/34]] || 50.184 || 99.958
| [[21/19]] || 173.268 || 91.551 || 71.706
| ||  
|-
|-
| [[32/31]] || 54.964 || 99.447
| [[41/37]] || 177.718 || 91.462 || 70.122
| ||  
|-
|-
| [[30/29]] || 58.692 || 98.855
| [[10/9]] || 182.404 || 91.367 || 69.257
| ||  
|-
|-
| [[28/27]] || 62.961 || 98.131
| [[19/17]] || 192.558 || 91.175 || 70.455
| ||  
|-
|-
| [[26/25]] || 67.900 || 97.339
| [[9/8]] || 203.910 || 91.000 || 65.852
| ||  
|-
|-
| [[24/23]] || 73.681 || 96.526
| [[35/31]] || 210.104 || 90.909 || 67.768
| ||  
|-
|-
| [[23/22]] || 76.956 || 96.119
| [[17/15]] || 216.687 || 90.809 || 70.456
| ||  
|-
|-
| [[22/21]] || 80.537 || 95.722
| [[25/22]] || 221.309 || 90.746 || 66.917
| ||  
|-
|-
| [[21/20]] || 84.467 || 95.323
| [[49/43]] || 226.134 || 90.706 || 63.360
| ||  
|-
|-
| [[20/19]] || 88.801 || 94.928
| [[8/7]] || 231.174 || 90.701 || 62.087
| ||  
|-
|-
| [[19/18]] || 93.603 || 94.534
| [[23/20]] || 241.961 || 90.726 || 68.150
| ||  
|-
|-
| [[18/17]] || 98.955 || 94.138
| [[15/13]] || 247.741 || 90.623 || 72.999
| ||  
|-
|-
| [[17/16]] || 104.955 || 93.748
| [[22/19]] || 253.805 || 90.413 || 66.529
| ||  
|-
|-
| [[16/15]] || 111.731 || 93.375
| [[29/25]] || 256.950 || 90.286 || 62.777
| ||  
|-
|-
| [[15/14]] || 119.443 || 93.016
| [[57/49]] || 261.816 || 90.135 || 58.880
| ||  
|-
|-
| [[14/13]] || 128.298 || 92.675
| [[7/6]] || 266.871 || 90.099 || 57.449
| ||  
|-
|-
| [[27/25]] || 133.238 || 92.514
| [[27/23]] || 277.591 || 90.529 || 63.339
| ||  
|-
|-
| [[13/12]] || 138.573 || 92.347
| [[20/17]] || 281.358 || 90.732 || 68.028
| ||  
|-
|-
| [[12/11]] || 150.637 || 92.045
| [[13/11]] || 289.210 || 90.867 || 75.314
| ||  
|-
|-
| [[23/21]] || 157.493 || 91.881
| [[19/16]] || 297.513 || 90.317 || 69.059
| ||  
|-
|-
| [[34/31]] || 159.920 || 91.829
| [[25/21]] || 301.847 || 89.806 || 62.212
| ||  
|-
|-
| [[11/10]] || 165.004 || 91.727
| [[37/31]] || 306.308 || 89.268 || 56.838
| ||  
|-
|-
| [[21/19]] || 173.268 || 91.551
| [[73/61]] || 310.905 || 88.838 || 53.461
| ||  
|-
|-
| [[41/37]] || 177.718 || 91.462
| [[6/5]] || 315.641 || 88.670 || 52.311
| ||  
|-
|-
| [[10/9]] || 182.404 || 91.367
| [[35/29]] || 325.562 || 89.348 || 57.574
| ||  
|-
|-
| [[19/17]] || 192.558 || 91.175
| [[23/19]] || 330.761 || 90.058 || 64.423
| ||  
|-
|-
| [[9/8]] || 203.910 || 91.000
| [[17/14]] || 336.130 || 90.813 || 72.542
| ||  
|-
|-
| [[35/31]] || 210.104 || 90.909
| [[28/23]] || 340.552 || 91.327 || 73.081
| ||  
|-
|-
| [[17/15]] || 216.687 || 90.809
| [[11/9]] || 347.408 || 91.786 || 71.098
| ||  
|-
|-
| [[25/22]] || 221.310 || 90.746
| [[16/13]] || 359.472 || 91.181 || 76.294
| ||  
|-
|-
| [[49/43]] || 226.134 || 90.706
| [[21/17]] || 365.825 || 90.053 || 68.023
| ||  
|-
|-
| [[8/7]] || 231.174 || 90.701
| [[31/25]] || 372.408 || 88.498 || 56.195
| ||  
|-
|-
| [[23/20]] || 241.961 || 90.726
| [[46/37]] || 376.930 || 87.477 || 50.618
| ||  
|-
|-
| [[15/13]] || 247.741 || 90.623
| [[5/4]] || 386.314 || 86.433 || 45.966
| ||  
|-
|-
| [[22/19]] || 253.805 || 90.413
| [[89/71]] || 391.184 || 86.736 || 47.224
| ||  
|-
|-
| [[29/25]] || 256.950 || 90.286
| [[44/35]] || 396.178 || 87.574 || 51.114
| ||  
|-
|-
| [[57/49]] || 261.816 || 90.135
| [[29/23]] || 401.303 || 88.739 || 57.835
| ||  
|-
|-
| [[7/6]] || 266.871 || 90.099
| [[24/19]] || 404.442 || 89.458 || 63.288
| ||  
|-
|-
| [[27/23]] || 277.591 || 90.529
| [[19/15]] || 409.244 || 90.412 || 72.808
| ||  
|-
|-
| [[20/17]] || 281.358 || 90.732
| [[14/11]] || 417.508 || 91.306 || 75.636
| ||  
|-
|-
| [[13/11]] || 289.210 || 90.867
| [[23/18]] || 424.364 || 91.415 || 69.571
| ||  
|-
|-
| [[19/16]] || 297.513 || 90.317
| [[9/7]] || 435.084 || 91.284 || 63.938
| ||  
|-
|-
| [[25/21]] || 301.847 || 89.806
| [[49/38]] || 440.139 || 91.361 || 65.252
| ||  
|-
|-
| [[37/31]] || 306.309 || 89.268
| [[22/17]] || 446.363 || 91.641 || 69.925
| ||  
|-
|-
| [[73/61]] || 310.905 || 88.838
| [[13/10]] || 454.214 || 92.079 || 74.367
| ||  
|-
|-
| [[6/5]] || 315.641 || 88.670
| [[17/13]] || 464.428 || 91.930 || 78.493
| ||  
|-
|-
| [[35/29]] || 325.562 || 89.348
| [[21/16]] || 470.781 || 90.841 || 75.987
| ||  
|-
|-
| [[23/19]] || 330.761 || 90.058
| [[25/19]] || 475.114 || 89.528 || 65.532
| ||  
|-
|-
| [[17/14]] || 336.130 || 90.813
| [[29/22]] || 478.259 || 88.318 || 58.453
| ||  
|-
|-
| [[28/23]] || 340.552 || 91.327
| [[41/31]] || 484.027 || 85.801 || 48.135
| ||  
|-
|-
| [[11/9]] || 347.408 || 91.786
| [[61/46]] || 488.610 || 83.904 || 42.464
| ||  
|-
|-
| [[16/13]] || 359.472 || 91.181
| [[121/91]] || 493.282 || 82.505 || 38.981
| ||  
|-
|-
| [[21/17]] || 365.826 || 90.053
| [[4/3]] || 498.045 || 81.976 || 37.808
| ||  
|-
|-
| [[31/25]] || 372.408 || 88.498
| [[67/50]] || 506.680 || 83.591 || 41.793
| ||  
|-
|-
| [[46/37]] || 376.930 || 87.477
| [[43/32]] || 511.518 || 85.531 || 47.459
| ||  
|-
|-
| [[5/4]] || 386.314 || 86.433
| [[31/23]] || 516.761 || 87.848 || 56.398
| ||  
|-
|-
| [[89/71]] || 391.184 || 86.736
| [[23/17]] || 523.319 || 90.284 || 71.419
| ||  
|-
|-
| [[44/35]] || 396.178 || 87.574
| [[19/14]] || 528.687 || 91.567 || 79.786
| ||  
|-
|-
| [[29/23]] || 401.303 || 88.739
| [[15/11]] || 536.951 || 92.317 || 76.271
| ||  
|-
|-
| [[24/19]] || 404.442 || 89.458
| [[26/19]] || 543.015 || 92.254 || 72.269
| ||  
|-
|-
| [[19/15]] || 409.244 || 90.412
| [[37/27]] || 545.479 || 92.154 || 70.833
| ||  
|-
|-
| [[14/11]] || 417.508 || 91.306
| [[11/8]] || 551.318 || 91.819 || 69.323
| ||  
|-
|-
| [[23/18]] || 424.364 || 91.415
| [[18/13]] || 563.382 || 90.784 || 72.045
| ||  
|-
|-
| [[9/7]] || 435.084 || 91.284
| [[25/18]] || 568.717 || 90.231 || 64.851
| ||  
|-
|-
| [[49/38]] || 440.139 || 91.361
| [[32/23]] || 571.726 || 89.927 || 60.988
| ||  
|-
|-
| [[22/17]] || 446.363 || 91.641
| [[67/48]] || 577.352 || 89.498 || 56.217
| ||  
|-
|-
| [[13/10]] || 454.214 || 92.079
| [[7/5]] || 582.512 || 89.352 || 54.788
| ||  
|-
|-
| [[17/13]] || 464.428 || 91.930
| [[38/27]] || 591.648 || 89.727 || 59.203
| ||  
|-
|-
| [[21/16]] || 470.781 || 90.841
| [[24/17]] || 597.000 || 90.174 || 65.794
| ||  
|-
|-
| [[25/19]] || 475.114 || 89.528
| [[17/12]] || 603.000 || 90.642 || 73.141
| ||  
|-
|-
| [[29/22]] || 478.259 || 88.318
| [[27/19]] || 608.352 || 90.950 || 69.816
| ||  
|-
|-
| [[41/31]] || 484.027 || 85.801
| [[10/7]] || 617.488 || 91.230 || 65.567
| ||  
|-
|-
| [[61/46]] || 488.611 || 83.904
| [[43/30]] || 623.249 || 91.380 || 67.163
| ||  
|-
|-
| [[121/91]] || 493.282 || 82.505
| [[23/16]] || 628.274 || 91.555 || 70.507
| ||  
|-
|-
| [[4/3]] || 498.045 || 81.976
| [[13/9]] || 636.618 || 92.012 || 73.029
| ||  
|-
|-
| [[67/50]] || 506.680 || 83.591
| [[16/11]] || 648.682 || 92.948 || 77.137
| ||  
|-
|-
| [[43/32]] || 511.518 || 85.531
| [[19/13]] || 656.985 || 93.440 || 80.684
| ||  
|-
|-
| [[31/23]] || 516.761 || 87.848
| [[22/15]] || 663.049 || 93.268 || 83.656
| ||  
|-
|-
| [[23/17]] || 523.319 || 90.284
| [[25/17]] || 667.672 || 92.484 || 84.338
| ||  
|-
|-
| [[19/14]] || 528.687 || 91.567
| [[31/21]] || 674.255 || 89.925 || 67.557
| ||  
|-
|-
| [[15/11]] || 536.951 || 92.317
| [[37/25]] || 678.717 || 87.087 || 55.540
| ||  
|-
|-
| [[26/19]] || 543.015 || 92.254
| [[49/33]] || 684.379 || 82.440 || 43.304
| ||  
|-
|-
| [[37/27]] || 545.479 || 92.154
| [[64/43]] || 688.482 || 78.794 || 36.567
| ||  
|-
|-
| [[11/8]] || 551.318 || 91.819
| [[100/67]] || 693.320 || 74.956 || 30.926
| ||  
|-
|-
| [[18/13]] || 563.382 || 90.784
| [[3/2]] || 701.955 || 71.779 || 27.000
| ||  
|-
|-
| [[25/18]] || 568.717 || 90.231
| [[182/121]] || 706.718 || 72.810 || 28.196
| ||  
|-
|-
| [[32/23]] || 571.726 || 89.927
| [[92/61]] || 711.390 || 75.553 || 31.686
| ||  
|-
|-
| [[67/48]] || 577.352 || 89.498
| [[62/41]] || 715.973 || 79.322 || 37.349
| ||  
|-
|-
| [[7/5]] || 582.512 || 89.352
| [[47/31]] || 720.471 || 83.329 || 45.071
| ||  
|-
|-
| [[38/27]] || 591.648 || 89.727
| [[38/25]] || 724.886 || 86.938 || 54.740
| ||  
|-
|-
| [[24/17]] || 597.000 || 90.174
| [[32/21]] || 729.219 || 89.774 || 66.231
| ||  
|-
|-
| [[17/12]] || 603.000 || 90.642
| [[26/17]] || 735.572 || 92.399 || 83.502
| ||  
|-
|-
| [[27/19]] || 608.352 || 90.950
| [[23/15]] || 740.006 || 93.257 || 83.983
| ||  
|-
|-
| [[10/7]] || 617.488 || 91.230
| [[20/13]] || 745.786 || 93.525 || 81.149
| ||  
|-
|-
| [[43/30]] || 623.249 || 91.380
| [[17/11]] || 753.637 || 93.117 || 77.675
| ||  
|-
|-
| [[23/16]] || 628.274 || 91.555
| [[31/20]] || 758.722 || 92.691 || 75.497
| ||  
|-
|-
| [[13/9]] || 636.618 || 92.012
| [[14/9]] || 764.916 || 92.202 || 73.877
| ||  
|-
|-
| [[16/11]] || 648.682 || 92.948
| [[25/16]] || 772.627 || 91.717 || 71.040
| ||  
|-
|-
| [[19/13]] || 656.985 || 93.440
| [[47/30]] || 777.238 || 91.493 || 68.327
| ||  
|-
|-
| [[22/15]] || 663.049 || 93.268
| [[11/7]] || 782.492 || 91.272 || 67.068
| ||  
|-
|-
| [[25/17]] || 667.672 || 92.484
| [[30/19]] || 790.756 || 90.881 || 70.442
| ||  
|-
|-
| [[31/21]] || 674.255 || 89.925
| [[19/12]] || 795.558 || 90.588 || 71.776
| ||  
|-
|-
| [[37/25]] || 678.717 || 87.087
| [[27/17]] || 800.910 || 90.222 || 65.504
| ||  
|-
|-
| [[49/33]] || 684.379 || 82.440
| [[35/22]] || 803.822 || 90.033 || 62.109
| ||  
|-
|-
| [[64/43]] || 688.482 || 78.794
| [[67/42]] || 808.526 || 89.806 || 58.378
| ||  
|-
|-
| [[100/67]] || 693.320 || 74.956
| [[8/5]] || 813.686 || 89.732 || 56.944
| ||  
|-
|-
| [[3/2]] || 701.955 || 71.779
| [[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
|}
|}


=== 3/2 to 2/1 ===
=== 2/1 to 4/1 ===
{| class="wikitable mw-collapsible sortable"
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
|+ style="font-size: 105%;" | Harmonic entropy of just intervals size 1200 to 2400{{c}}
! Ratio !! Size (cents) !! Entropy <br>(%, Rényi order 1.0)
|-
!Entropy <br>(%, Rényi order 7.0) !! Comments
! 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
|-
|-
| [[3/2]] || 701.955 || 71.779
| [[121/52]] || 1462.108 || 86.960 || 47.981
| ||  
|-
|-
| [[182/121]] || 706.718 || 72.810
| [[7/3]] || 1466.871 || 86.699 || 46.764
| ||  
|-
|-
| [[92/61]] || 711.390 || 75.553
| [[61/26]] || 1476.357 || 87.725 || 51.478
| ||  
|-
|-
| [[62/41]] || 715.973 || 79.322
| [[40/17]] || 1481.358 || 88.788 || 57.784
| ||  
|-
|-
| [[47/31]] || 720.471 || 83.329
| [[33/14]] || 1484.447 || 89.469 || 62.970
| ||  
|-
|-
| [[38/25]] || 724.886 || 86.938
| [[26/11]] || 1489.210 || 90.374 || 72.202
| ||  
|-
|-
| [[32/21]] || 729.219 || 89.774
| [[19/8]] || 1497.513 || 91.263 || 75.523
| ||  
|-
|-
| [[26/17]] || 735.572 || 92.399
| [[31/13]] || 1504.508 || 91.358 || 69.217
| ||  
|-
|-
| [[23/15]] || 740.006 || 93.257
| [[67/28]] || 1510.481 || 91.232 || 64.457
| ||  
|-
|-
| [[20/13]] || 745.786 || 93.525
| [[12/5]] || 1515.641 || 91.162 || 63.074
| ||  
|-
|-
| [[17/11]] || 753.638 || 93.117
| [[29/12]] || 1527.622 || 91.519 || 69.720
| ||  
|-
|-
| [[31/20]] || 758.722 || 92.691
| [[17/7]] || 1536.130 || 92.120 || 73.203
| ||  
|-
|-
| [[14/9]] || 764.916 || 92.202
| [[39/16]] || 1542.483 || 92.492 || 74.937
| ||  
|-
|-
| [[25/16]] || 772.627 || 91.717
| [[22/9]] || 1547.408 || 92.527 || 77.617
| ||  
|-
|-
| [[47/30]] || 777.238 || 91.493
| [[27/11]] || 1554.547 || 91.809 || 80.862
| ||  
|-
|-
| [[11/7]] || 782.492 || 91.272
| [[32/13]] || 1559.472 || 90.533 || 72.653
| ||  
|-
|-
| [[30/19]] || 790.756 || 90.881
| [[37/15]] || 1563.075 || 89.159 || 63.401
| ||  
|-
|-
| [[19/12]] || 795.558 || 90.588
| [[47/19]] || 1567.994 || 86.769 || 52.637
| ||  
|-
|-
| [[27/17]] || 800.910 || 90.222
| [[62/25]] || 1572.408 || 84.387 || 45.145
| ||  
|-
|-
| [[35/22]] || 803.822 || 90.033
| [[97/39]] || 1577.413 || 81.915 || 39.142
| ||  
|-
|-
| [[67/42]] || 808.526 || 89.806
| [[5/2]] || 1586.314 || 79.831 || 34.998
| ||  
|-
|-
| [[8/5]] || 813.686 || 89.732
| [[178/71]] || 1591.184 || 80.481 || 36.263
| ||  
|-
|-
| [[37/23]] || 823.070 || 90.195
| [[93/37]] || 1595.647 || 82.086 || 39.618
| ||  
|-
|-
| [[21/13]] || 830.253 || 90.896
| [[63/25]] || 1600.108 || 84.302 || 45.074
| ||  
|-
|-
| [[34/21]] || 834.175 || 91.296
| [[43/17]] || 1606.562 || 87.719 || 56.694
| ||  
|-
|-
| [[13/8]] || 840.528 || 91.817
| [[38/15]] || 1609.244 || 88.973 || 62.811
| ||  
|-
|-
| [[18/11]] || 852.592 || 91.703
| [[28/11]] || 1617.508 || 91.634 || 80.890
| ||  
|-
|-
| [[23/14]] || 859.448 || 90.557
| [[23/9]] || 1624.364 || 92.434 || 78.292
| ||  
|-
|-
| [[28/17]] || 863.871 || 89.342
| [[18/7]] || 1635.084 || 92.172 || 74.096
| ||  
|-
|-
| [[43/26]] || 870.990 || 86.943
| [[49/19]] || 1640.139 || 91.840 || 72.388
| ||  
|-
|-
| [[63/38]] || 875.223 || 85.597
| [[31/12]] || 1643.081 || 91.658 || 70.218
| ||  
|-
|-
| [[5/3]] || 884.359 || 84.167
| [[57/22]] || 1648.150 || 91.431 || 66.376
| ||  
|-
|-
| [[127/76]] || 888.909 || 84.530
| [[13/5]] || 1654.214 || 91.300 || 64.521
| ||  
|-
|-
| [[62/37]] || 893.692 || 85.623
| [[34/13]] || 1664.428 || 91.237 || 69.666
| ||  
|-
|-
| [[42/25]] || 898.154 || 87.045
| [[21/8]] || 1670.781 || 90.960 || 75.611
| ||  
|-
|-
| [[32/19]] || 902.487 || 88.529
| [[29/11]] || 1678.259 || 90.106 || 69.169
| ||  
|-
|-
| [[22/13]] || 910.790 || 90.839
| [[37/14]] || 1682.518 || 89.391 || 61.489
| ||  
|-
|-
| [[17/10]] || 918.642 || 91.911
| [[61/23]] || 1688.610 || 88.342 || 53.451
| ||  
|-
|-
| [[29/17]] || 924.622 || 92.114
| [[117/44]] || 1693.120 || 87.764 || 50.019
| ||  
|-
|-
| [[12/7]] || 933.129 || 91.936
| [[8/3]] || 1698.045 || 87.525 || 48.727
| ||  
|-
|-
| [[43/25]] || 938.890 || 91.611
| [[67/25]] || 1706.680 || 88.237 || 52.642
| ||  
|-
|-
| [[19/11]] || 946.195 || 90.913
| [[43/16]] || 1711.518 || 89.069 || 58.264
| ||  
|-
|-
| [[26/15]] || 952.259 || 90.085
| [[27/10]] || 1719.551 || 90.435 || 71.995
| ||  
|-
|-
| [[47/27]] || 959.642 || 89.027
| [[19/7]] || 1728.687 || 91.142 || 74.726
| ||  
|-
|-
| [[7/4]] || 968.826 || 88.381
| [[49/18]] || 1733.742 || 91.064 || 72.204
| ||  
|-
|-
| [[93/53]] || 973.486 || 88.539
| [[30/11]] || 1736.951 || 90.897 || 68.468
| ||  
|-
|-
| [[44/25]] || 978.691 || 89.061
| [[41/15]] || 1740.794 || 90.654 || 63.845
| ||  
|-
|-
| [[30/17]] || 983.313 || 89.680
| [[85/31]] || 1746.234 || 90.327 || 59.456
| ||  
|-
|-
| [[23/13]] || 987.747 || 90.241
| [[11/4]] || 1751.318 || 90.168 || 58.141
| ||  
|-
|-
| [[16/9]] || 996.090 || 90.836
| [[47/17]] || 1760.551 || 90.312 || 62.711
| ||  
|-
|-
| [[25/14]] || 1003.802 || 90.734
| [[25/9]] || 1768.717 || 90.677 || 71.476
| ||  
|-
|-
| [[34/19]] || 1007.442 || 90.562
| [[39/14]] || 1773.657 || 90.867 || 69.426
| ||  
|-
|-
| [[9/5]] || 1017.596 || 90.182
| [[67/24]] || 1777.352 || 90.985 || 66.929
| ||  
|-
|-
| [[74/41]] || 1022.282 || 90.185
| [[14/5]] || 1782.512 || 91.109 || 65.552
| ||  
|-
|-
| [[38/21]] || 1026.732 || 90.292
| [[31/11]] || 1793.718 || 91.367 || 70.604
| ||  
|-
|-
| [[20/11]] || 1034.996 || 90.598
| [[17/6]] || 1803.000 || 91.650 || 71.316
| ||  
|-
|-
| [[31/17]] || 1040.080 || 90.750
| [[37/13]] || 1810.816 || 91.957 || 73.275
| ||  
|-
|-
| [[53/29]] || 1043.927 || 90.833
| [[20/7]] || 1817.488 || 92.272 || 75.172
| ||  
|-
|-
| [[11/6]] || 1049.363 || 90.918
| [[43/15]] || 1823.249 || 92.602 || 76.461
| ||  
|-
|-
| [[24/13]] || 1061.427 || 91.130
| [[23/8]] || 1828.274 || 92.938 || 77.918
| ||  
|-
|-
| [[37/20]] || 1065.030 || 91.211
| [[26/9]] || 1836.618 || 93.633 || 80.434
| ||  
|-
|-
| [[13/7]] || 1071.702 || 91.394
| [[29/10]] || 1843.263 || 94.306 || 82.719
| ||  
|-
|-
| [[28/15]] || 1080.557 || 91.657
| [[32/11]] || 1848.682 || 94.862 || 84.787
| ||  
|-
|-
| [[15/8]] || 1088.269 || 91.912
| [[35/12]] || 1853.185 || 95.221 || 86.662
| ||  
|-
|-
| [[32/17]] || 1095.045 || 92.173
| [[38/13]] || 1856.985 || 95.305 || 88.363
| ||  
|-
|-
| [[17/9]] || 1101.045 || 92.438
| [[41/14]] || 1860.236 || 95.088 || 89.839
| ||  
|-
|-
| [[36/19]] || 1106.397 || 92.704
| [[47/16]] || 1865.507 || 93.821 || 85.308
| ||  
|-
|-
| [[19/10]] || 1111.199 || 92.968
| [[53/18]] || 1869.595 || 91.704 || 71.338
| ||  
|-
|-
| [[21/11]] || 1119.463 || 93.512
| [[65/22]] || 1875.523 || 86.386 || 52.868
| ||  
|-
|-
| [[23/12]] || 1126.319 || 94.067
| [[77/26]] || 1879.616 || 81.103 || 42.296
| ||  
|-
|-
| [[25/13]] || 1132.100 || 94.649
| [[98/33]] || 1884.379 || 73.722 || 32.257
| ||  
|-
|-
| [[27/14]] || 1137.039 || 95.215
| [[131/44]] || 1888.790 || 66.544 || 25.130
| ||  
|-
|-
| [[29/15]] || 1141.309 || 95.749
| [[200/67]] || 1893.320 || 60.026 || 19.966
| ||  
|-
|-
| [[31/16]] || 1145.036 || 96.208
| [[3/1]] || 1901.955 || 54.245 || 16.105
| ||  
|-
|-
| [[33/17]] || 1148.318 || 96.553
| [[367/122]] || 1906.679 || 56.071 || 17.287
| ||  
|-
|-
| [[37/19]] || 1153.831 || 96.788
| [[187/62]] || 1911.238 || 60.881 || 20.636
| ||  
|-
|-
| [[41/21]] || 1158.282 || 96.316
| [[127/42]] || 1915.641 || 67.404 || 25.947
| ||  
|-
|-
| [[47/24]] || 1163.552 || 94.342
| [[94/31]] || 1920.471 || 75.286 || 34.142
| ||  
|-
|-
| [[55/28]] || 1168.806 || 90.065
| [[76/25]] || 1924.886 || 81.991 || 43.816
| ||  
|-
|-
| [[63/32]] || 1172.736 || 84.977
| [[64/21]] || 1929.219 || 87.364 || 55.340
| ||  
|-
|-
| [[77/39]] || 1177.661 || 76.268
| [[55/18]] || 1933.722 || 91.364 || 69.421
| ||  
|-
|-
| [[95/48]] || 1181.872 || 67.226
| [[46/15]] || 1940.006 || 94.439 || 89.145
| ||  
|-
|-
| [[129/65]] || 1186.631 || 56.465
| [[43/14]] || 1942.692 || 95.041 || 90.247
| ||  
|-
|-
| [[193/97]] || 1191.053 || 47.543
| [[37/12]] || 1949.389 || 95.375 || 87.295
| ||  
|-
|-
| [[389/195]] || 1195.555 || 41.234
| [[34/11]] || 1953.637 || 95.100 || 85.466
| ||  
|-
|-
| [[2/1]] || 1200.000 || 39.006
| [[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
|}
|}


=== 2/1 to 3/1 ===
=== 4/1 to 8/1 ===
{| class="wikitable mw-collapsible sortable"
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
|+ style="font-size: 105%;" | Harmonic entropy of just intervals size 2400 to 3600{{c}}
! Ratio !! Size (cents) !! Entropy <br>(%, Rényi order 1.0)
|-
!Entropy <br>(%, Rényi order 7.0) !! Comments
! Just interval !! Size (cents) !! Entropy (Réyni 1.0) !! Entropy (Réyni 7.0)
|-
|-
| [[2/1]] || 1200.000 || 39.006
| [[4/1]] || 2400.000 || 62.798 || 20.634
| ||  
|-
|-
| [[389/194]] || 1204.456 || 41.246
| [[389/97]] || 2404.456 || 64.076 || 21.670
| ||  
|-
|-
| [[195/97]] || 1208.901 || 47.467
| [[193/48]] || 2408.993 || 67.714 || 24.873
| ||  
|-
|-
| [[129/64]] || 1213.473 || 56.700
| [[129/32]] || 2413.473 || 72.852 || 30.181
| ||  
|-
|-
| [[97/48]] || 1217.940 || 66.810
| [[97/24]] || 2417.940 || 78.558 || 37.612
| ||  
|-
|-
| [[77/38]] || 1222.631 || 76.861
| [[77/19]] || 2422.631 || 84.164 || 47.718
| ||  
|-
|-
| [[65/32]] || 1226.841 || 84.341
| [[65/16]] || 2426.841 || 88.282 || 58.797
| ||  
|-
|-
| [[55/27]] || 1231.767 || 90.672
| [[53/13]] || 2432.977 || 92.286 || 78.103
| ||  
|-
|-
| [[49/24]] || 1235.697 || 93.888
| [[49/12]] || 2435.697 || 93.337 || 85.959
| ||  
|-
|-
| [[43/21]] || 1240.737 || 96.081
| [[41/10]] || 2442.749 || 94.509 || 86.517
| ||  
|-
|-
| [[39/19]] || 1244.970 || 96.733
| [[37/9]] || 2447.434 || 94.478 || 84.366
| ||  
|-
|-
| [[35/17]] || 1250.184 || 96.662
| [[33/8]] || 2453.273 || 94.049 || 81.900
| ||  
|-
|-
| [[31/15]] || 1256.767 || 95.974
| [[29/7]] || 2460.751 || 93.336 || 78.995
| ||  
|-
|-
| [[29/14]] || 1260.751 || 95.470
| [[25/6]] || 2470.672 || 92.507 || 75.746
| ||  
|-
|-
| [[27/13]] || 1265.337 || 94.913
| [[46/11]] || 2476.956 || 92.096 || 73.420
| ||  
|-
|-
| [[25/12]] || 1270.672 || 94.335
| [[67/16]] || 2479.307 || 91.958 || 72.499
| ||  
|-
|-
| [[23/11]] || 1276.956 || 93.767
| [[21/5]] || 2484.467 || 91.696 || 71.456
| ||  
|-
|-
| [[21/10]] || 1284.467 || 93.226
| [[59/14]] || 2490.346 || 91.443 || 71.514
| ||  
|-
|-
| [[40/19]] || 1288.801 || 92.971
| [[38/9]] || 2493.603 || 91.333 || 70.272
| ||  
|-
|-
| [[19/9]] || 1293.603 || 92.713
| [[55/13]] || 2497.104 || 91.229 || 67.898
| ||  
|-
|-
| [[17/8]] || 1304.955 || 92.212
| [[17/4]] || 2504.955 || 91.063 || 65.043
| ||  
|-
|-
| [[32/15]] || 1311.731 || 91.962
| [[64/15]] || 2511.731 || 90.911 || 67.501
| ||  
|-
|-
| [[15/7]] || 1319.443 || 91.713
| [[30/7]] || 2519.443 || 90.589 || 72.480
| ||  
|-
|-
| [[43/20]] || 1325.204 || 91.549
| [[43/10]] || 2525.204 || 90.237 || 65.850
| ||  
|-
|-
| [[28/13]] || 1328.298 || 91.468
| [[56/13]] || 2528.298 || 90.045 || 62.065
| ||  
|-
|-
| [[54/25]] || 1333.238 || 91.338
| [[108/25]] || 2533.238 || 89.798 || 57.981
| ||  
|-
|-
| [[13/6]] || 1338.573 || 91.201
| [[13/3]] || 2538.573 || 89.729 || 56.445
| ||  
|-
|-
| [[24/11]] || 1350.637 || 90.891
| [[61/14]] || 2548.059 || 90.228 || 61.167
| ||  
|-
|-
| [[35/16]] || 1355.140 || 90.798
| [[35/8]] || 2555.140 || 90.942 || 69.998
| ||  
|-
|-
| [[68/31]] || 1359.920 || 90.737
| [[57/13]] || 2558.940 || 91.316 || 72.908
| ||  
|-
|-
| [[11/5]] || 1365.004 || 90.741
| [[22/5]] || 2565.004 || 91.732 || 72.619
| ||  
|-
|-
| [[31/14]] || 1376.210 || 90.799
| [[31/7]] || 2576.210 || 91.266 || 76.993
| ||  
|-
|-
| [[20/9]] || 1382.404 || 90.645
| [[40/9]] || 2582.404 || 90.118 || 68.724
| ||  
|-
|-
| [[29/13]] || 1389.050 || 90.242
| [[49/11]] || 2586.334 || 89.120 || 60.757
| ||  
|-
|-
| [[47/21]] || 1394.726 || 89.813
| [[67/15]] || 2591.038 || 87.824 || 53.151
| ||  
|-
|-
| [[9/4]] || 1403.910 || 89.442
| [[103/23]] || 2595.526 || 86.696 || 48.055
| ||  
|-
|-
| [[79/35]] || 1409.397 || 89.622
| [[9/2]] || 2603.910 || 85.700 || 44.227
| ||  
|-
|-
| [[43/19]] || 1414.005 || 89.985
| [[167/37]] || 2609.101 || 86.069 || 45.583
| ||  
|-
|-
| [[25/11]] || 1421.310 || 90.755
| [[86/19]] || 2614.005 || 87.026 || 49.488
| ||  
|-
|-
| [[41/18]] || 1425.152 || 91.119
| [[59/13]] || 2618.644 || 88.237 || 55.541
| ||  
|-
|-
| [[16/7]] || 1431.174 || 91.447
| [[41/9]] || 2625.152 || 89.931 || 67.735
| ||  
|-
|-
| [[23/10]] || 1441.961 || 90.803
| [[32/7]] || 2631.174 || 91.047 || 76.544
| ||  
|-
|-
| [[30/13]] || 1447.741 || 89.775
| [[23/5]] || 2641.961 || 91.557 || 72.891
| ||  
|-
|-
| [[37/16]] || 1451.344 || 88.987
| [[37/8]] || 2651.344 || 90.918 || 69.333
| ||  
|-
|-
| [[58/25]] || 1456.950 || 87.767
| [[51/11]] || 2655.592 || 90.538 || 64.082
| ||  
|-
|-
| [[121/52]] || 1462.108 || 86.960
| [[121/26]] || 2662.108 || 90.078 || 58.707
| ||  
|-
|-
| [[7/3]] || 1466.871 || 86.699
| [[14/3]] || 2666.871 || 89.943 || 57.563
| ||  
|-
|-
| [[61/26]] || 1476.357 || 87.725
| [[61/13]] || 2676.357 || 90.178 || 62.362
| ||  
|-
|-
| [[40/17]] || 1481.358 || 88.788
| [[47/10]] || 2679.193 || 90.338 || 65.540
| ||  
|-
|-
| [[33/14]] || 1484.447 || 89.469
| [[33/7]] || 2684.447 || 90.654 || 71.433
| ||  
|-
|-
| [[26/11]] || 1489.210 || 90.374
| [[52/11]] || 2689.210 || 90.913 || 70.124
| ||  
|-
|-
| [[19/8]] || 1497.513 || 91.263
| [[19/4]] || 2697.513 || 91.250 || 66.691
| ||  
|-
|-
| [[31/13]] || 1504.508 || 91.358
| [[81/17]] || 2702.865 || 91.441 || 67.985
| ||  
|-
|-
| [[67/28]] || 1510.481 || 91.232
| [[43/9]] || 2707.608 || 91.620 || 70.764
| ||  
|-
|-
| [[12/5]] || 1515.641 || 91.162
| [[67/14]] || 2710.481 || 91.756 || 72.192
| ||  
|-
|-
| [[29/12]] || 1527.622 || 91.519
| [[24/5]] || 2715.641 || 92.033 || 73.157
| ||  
|-
|-
| [[17/7]] || 1536.130 || 92.120
| [[29/6]] || 2727.622 || 92.932 || 77.031
| ||  
|-
|-
| [[39/16]] || 1542.483 || 92.492
| [[34/7]] || 2736.130 || 93.640 || 80.373
| ||  
|-
|-
| [[22/9]] || 1547.408 || 92.527
| [[39/8]] || 2742.483 || 93.885 || 83.233
| ||  
|-
|-
| [[27/11]] || 1554.547 || 91.809
| [[44/9]] || 2747.408 || 93.589 || 85.604
| ||  
|-
|-
| [[32/13]] || 1559.472 || 90.533
| [[54/11]] || 2754.547 || 91.677 || 77.116
| ||  
|-
|-
| [[37/15]] || 1563.075 || 89.159
| [[64/13]] || 2759.472 || 88.918 || 62.079
| ||  
|-
|-
| [[47/19]] || 1567.994 || 86.769
| [[74/15]] || 2763.075 || 86.111 || 52.510
| ||  
|-
|-
| [[62/25]] || 1572.408 || 84.387
| [[94/19]] || 2767.994 || 81.362 || 41.670
| ||  
|-
|-
| [[97/39]] || 1577.413 || 81.915
| [[129/26]] || 2772.945 || 76.173 || 33.364
| ||  
|-
|-
| [[5/2]] || 1586.314 || 79.831
| [[199/40]] || 2777.636 || 71.787 || 27.906
| ||  
|-
|-
| [[178/71]] || 1591.184 || 80.481
| [[5/1]] || 2786.314 || 68.009 || 23.962
| ||  
|-
|-
| [[93/37]] || 1595.647 || 82.086
| [[361/72]] || 2791.116 || 69.236 || 25.203
| ||  
|-
|-
| [[63/25]] || 1600.109 || 84.302
| [[186/37]] || 2795.647 || 72.363 || 28.611
| ||  
|-
|-
| [[43/17]] || 1606.562 || 87.719
| [[126/25]] || 2800.108 || 76.655 || 34.095
| ||  
|-
|-
| [[38/15]] || 1609.244 || 88.973
| [[91/18]] || 2805.444 || 82.237 || 43.431
| ||  
|-
|-
| [[28/11]] || 1617.508 || 91.634
| [[76/15]] || 2809.244 || 85.883 || 51.934
| ||  
|-
|-
| [[23/9]] || 1624.364 || 92.434
| [[61/12]] || 2814.930 || 90.123 || 67.494
| ||  
|-
|-
| [[18/7]] || 1635.084 || 92.172
| [[51/10]] || 2820.597 || 92.661 || 84.199
| ||  
|-
|-
| [[49/19]] || 1640.139 || 91.840
| [[46/9]] || 2824.364 || 93.525 || 86.193
| ||  
|-
|-
| [[31/12]] || 1643.081 || 91.658
| [[41/8]] || 2829.062 || 93.937 || 84.008
| ||  
|-
|-
| [[57/22]] || 1648.150 || 91.431
| [[36/7]] || 2835.084 || 93.804 || 81.270
| ||  
|-
|-
| [[13/5]] || 1654.214 || 91.300
| [[31/6]] || 2843.081 || 93.178 || 78.031
| ||  
|-
|-
| [[34/13]] || 1664.428 || 91.237
| [[57/11]] || 2848.150 || 92.750 || 76.045
| ||  
|-
|-
| [[21/8]] || 1670.781 || 90.960
| [[26/5]] || 2854.214 || 92.307 || 74.485
| ||  
|-
|-
| [[29/11]] || 1678.259 || 90.106
| [[47/9]] || 2861.597 || 91.870 || 71.896
| ||  
|-
|-
| [[37/14]] || 1682.518 || 89.391
| [[21/4]] || 2870.781 || 91.425 || 68.672
| ||  
|-
|-
| [[61/23]] || 1688.611 || 88.342
| [[79/15]] || 2876.268 || 91.152 || 70.103
| ||  
|-
|-
| [[117/44]] || 1693.120 || 87.764
| [[37/7]] || 2882.518 || 90.820 || 70.829
| ||  
|-
|-
| [[8/3]] || 1698.045 || 87.525
| [[53/10]] || 2887.191 || 90.579 || 66.050
| ||  
|-
|-
| [[67/25]] || 1706.680 || 88.237
| [[117/22]] || 2893.120 || 90.378 || 61.195
| ||  
|-
|-
| [[43/16]] || 1711.518 || 89.069
| [[16/3]] || 2898.045 || 90.360 || 59.869
| ||  
|-
|-
| [[27/10]] || 1719.551 || 90.435
| [[59/11]] || 2907.854 || 90.739 || 64.773
| ||  
|-
|-
| [[19/7]] || 1728.687 || 91.142
| [[43/8]] || 2911.518 || 90.933 || 68.839
| ||  
|-
|-
| [[49/18]] || 1733.742 || 91.064
| [[27/5]] || 2919.551 || 91.115 || 74.991
| ||  
|-
|-
| [[30/11]] || 1736.951 || 90.897
| [[65/12]] || 2924.886 || 90.826 || 75.969
| ||  
|-
|-
| [[41/15]] || 1740.794 || 90.654
| [[38/7]] || 2928.687 || 90.366 || 72.997
| ||  
|-
|-
| [[85/31]] || 1746.234 || 90.327
| [[49/9]] || 2933.742 || 89.479 || 63.506
| ||  
|-
|-
| [[11/4]] || 1751.318 || 90.168
| [[60/11]] || 2936.951 || 88.814 || 58.100
| ||  
|-
|-
| [[47/17]] || 1760.551 || 90.312
| [[93/17]] || 2942.035 || 87.822 || 51.716
| ||  
|-
|-
| [[25/9]] || 1768.717 || 90.677
| [[181/33]] || 2946.542 || 87.184 || 48.353
| ||  
|-
|-
| [[39/14]] || 1773.657 || 90.867
| [[11/2]] || 2951.318 || 86.954 || 47.153
| ||  
|-
|-
| [[67/24]] || 1777.352 || 90.985
| [[94/17]] || 2960.551 || 87.918 || 51.700
| ||  
|-
|-
| [[14/5]] || 1782.512 || 91.109
| [[61/11]] || 2965.567 || 88.943 || 57.950
| ||  
|-
|-
| [[31/11]] || 1793.718 || 91.367
| [[50/9]] || 2968.717 || 89.611 || 63.197
| ||  
|-
|-
| [[17/6]] || 1803.000 || 91.650
| [[39/7]] || 2973.657 || 90.516 || 72.515
| ||  
|-
|-
| [[37/13]] || 1810.816 || 91.957
| [[67/12]] || 2977.352 || 91.004 || 76.031
| ||  
|-
|-
| [[20/7]] || 1817.488 || 92.272
| [[28/5]] || 2982.512 || 91.342 || 75.084
| ||  
|-
|-
| [[43/15]] || 1823.249 || 92.602
| [[45/8]] || 2990.224 || 91.271 || 68.577
| ||  
|-
|-
| [[23/8]] || 1828.274 || 92.938
| [[62/11]] || 2993.718 || 91.121 || 64.852
| ||  
|-
|-
| [[26/9]] || 1836.618 || 93.633
| [[17/3]] || 3003.000 || 90.796 || 60.390
| ||  
|-
|-
| [[29/10]] || 1843.264 || 94.306
| [[91/16]] || 3009.354 || 90.823 || 62.564
| ||  
|-
|-
| [[32/11]] || 1848.682 || 94.862
| [[40/7]] || 3017.488 || 91.140 || 70.111
| ||  
|-
|-
| [[35/12]] || 1853.185 || 95.221
| [[63/11]] || 3021.418 || 91.351 || 71.253
| ||  
|-
|-
| [[38/13]] || 1856.985 || 95.305
| [[23/4]] || 3028.274 || 91.759 || 69.888
| ||  
|-
|-
| [[41/14]] || 1860.237 || 95.088
| [[52/9]] || 3036.618 || 92.295 || 72.655
| ||  
|-
|-
| [[47/16]] || 1865.507 || 93.821
| [[29/5]] || 3043.263 || 92.782 || 75.650
| ||  
|-
|-
| [[53/18]] || 1869.595 || 91.704
| [[35/6]] || 3053.185 || 93.524 || 79.261
| ||  
|-
|-
| [[65/22]] || 1875.523 || 86.386
| [[41/7]] || 3060.236 || 93.677 || 82.545
| ||  
|-
|-
| [[77/26]] || 1879.616 || 81.103
| [[47/8]] || 3065.507 || 93.159 || 84.962
| ||  
|-
|-
| [[98/33]] || 1884.379 || 73.722
| [[53/9]] || 3069.595 || 92.138 || 81.317
| ||  
|-
|-
| [[131/44]] || 1888.790 || 66.544
| [[65/11]] || 3075.523 || 89.379 || 64.058
| ||  
|-
|-
| [[200/67]] || 1893.320 || 60.026
| [[77/13]] || 3079.616 || 86.553 || 53.435
| ||  
|-
|-
| [[3/1]] || 1901.955 || 54.245
| [[95/16]] || 3083.827 || 83.035 || 44.350
| ||  
|-
|}
| [[131/22]] || 3088.790 || 78.596 || 36.061
 
|-
=== 3/1 to 4/1 ===
| [[197/33]] || 3093.189 || 75.071 || 30.903
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Entropy <br>(%, Rényi order 1.0)
!Entropy <br>(%, Rényi order 7.0) !! Comments
|-
|-
| [[3/1]] || 1901.955 || 54.245
| [[6/1]] || 3101.955 || 71.731 || 26.753
| ||  
|-
|-
| [[367/122]] || 1906.679 || 56.071
| [[367/61]] || 3106.679 || 72.714 || 27.900
| ||  
|-
|-
| [[187/62]] || 1911.238 || 60.881
| [[187/31]] || 3111.238 || 75.340 || 31.250
| ||  
|-
|-
| [[127/42]] || 1915.641 || 67.404
| [[127/21]] || 3115.641 || 78.905 || 36.582
| ||  
|-
|-
| [[94/31]] || 1920.471 || 75.286
| [[91/15]] || 3121.085 || 83.711 || 46.033
| ||  
|-
|-
| [[76/25]] || 1924.886 || 81.991
| [[73/12]] || 3125.834 || 87.463 || 56.863
| ||  
|-
|-
| [[64/21]] || 1929.219 || 87.364
| [[61/10]] || 3130.571 || 90.313 || 70.005
| ||  
|-
|-
| [[55/18]] || 1933.722 || 91.364
| [[55/9]] || 3133.722 || 91.647 || 79.353
| ||  
|-
|-
| [[46/15]] || 1940.006 || 94.439
| [[49/8]] || 3137.652 || 92.720 || 84.646
| ||  
|-
|-
| [[43/14]] || 1942.692 || 95.041
| [[43/7]] || 3142.692 || 93.315 || 82.594
| ||  
|-
|-
| [[37/12]] || 1949.389 || 95.375
| [[37/6]] || 3149.389 || 93.281 || 79.454
| ||  
|-
|-
| [[34/11]] || 1953.638 || 95.100
| [[31/5]] || 3158.722 || 92.634 || 75.931
| ||  
|-
|-
| [[31/10]] || 1958.722 || 94.593
| [[56/9]] || 3164.916 || 92.175 || 73.112
| ||  
|-
|-
| [[28/9]] || 1964.916 || 93.929
| [[25/4]] || 3172.627 || 91.679 || 70.854
| ||  
|-
|-
| [[25/8]] || 1972.627 || 93.206
| [[69/11]] || 3178.911 || 91.336 || 71.355
| ||  
|-
|-
| [[47/15]] || 1977.238 || 92.840
| [[44/7]] || 3182.492 || 91.164 || 69.795
| ||  
|-
|-
| [[22/7]] || 1982.492 || 92.487
| [[63/10]] || 3186.422 || 91.034 || 66.313
| ||  
|-
|-
| [[60/19]] || 1990.756 || 92.024
| [[120/19]] || 3190.756 || 90.949 || 63.284
| ||  
|-
|-
| [[19/6]] || 1995.558 || 91.813
| [[19/3]] || 3195.558 || 90.954 || 62.086
| ||  
|-
|-
| [[54/17]] || 2000.910 || 91.606
| [[127/20]] || 3200.108 || 91.016 || 63.188
| ||  
|-
|-
| [[35/11]] || 2003.822 || 91.516
| [[51/8]] || 3206.910 || 91.113 || 68.646
| ||  
|-
|-
| [[67/21]] || 2008.526 || 91.378
| [[32/5]] || 3213.686 || 90.949 || 75.401
| ||  
|-
|-
| [[16/5]] || 2013.686 || 91.231
| [[45/7]] || 3221.398 || 90.200 || 68.953
| ||  
|-
|-
| [[29/9]] || 2025.667 || 90.874
| [[58/9]] || 3225.667 || 89.582 || 61.610
| ||  
|-
|-
| [[42/13]] || 2030.253 || 90.752
| [[84/13]] || 3230.253 || 88.880 || 55.552
| ||  
|-
|-
| [[81/25]] || 2035.193 || 90.679
| [[162/25]] || 3235.193 || 88.287 || 51.486
| ||  
|-
|-
| [[13/4]] || 2040.528 || 90.693
| [[13/2]] || 3240.528 || 88.036 || 49.983
| ||  
|-
|-
| [[49/15]] || 2049.383 || 90.886
| [[98/15]] || 3249.383 || 88.679 || 54.121
| ||  
|-
|-
| [[36/11]] || 2052.592 || 90.938
| [[59/9]] || 3255.262 || 89.542 || 61.420
| ||  
|-
|-
| [[23/7]] || 2059.448 || 90.832
| [[46/7]] || 3259.448 || 90.160 || 68.593
| ||  
|-
|-
| [[33/10]] || 2066.959 || 90.254
| [[33/5]] || 3266.959 || 90.915 || 75.373
| ||  
|-
|-
| [[43/13]] || 2070.990 || 89.797
| [[53/8]] || 3273.505 || 91.119 || 68.956
| ||  
|-
|-
| [[63/19]] || 2075.223 || 89.312
| [[20/3]] || 3284.359 || 91.038 || 63.048
| ||  
|-
|-
| [[10/3]] || 2084.359 || 88.773
| [[127/19]] || 3288.909 || 91.050 || 64.127
| ||  
|-
|-
| [[127/38]] || 2088.909 || 88.907
| [[47/7]] || 3296.681 || 91.284 || 69.942
| ||  
|-
|-
| [[57/17]] || 2094.513 || 89.429
| [[27/4]] || 3305.865 || 91.845 || 72.072
| ||  
|-
|-
| [[37/11]] || 2100.026 || 90.130
| [[61/9]] || 3312.975 || 92.403 || 74.047
| ||  
|-
|-
| [[27/8]] || 2105.865 || 90.864
| [[34/5]] || 3318.642 || 92.846 || 76.869
| ||  
|-
|-
| [[44/13]] || 2110.790 || 91.364
| [[41/6]] || 3327.107 || 93.164 || 80.690
| ||  
|-
|-
| [[17/5]] || 2118.642 || 91.902
| [[48/7]] || 3333.129 || 92.684 || 83.653
| ||  
|-
|-
| [[58/17]] || 2124.622 || 92.131
| [[55/8]] || 3337.632 || 91.625 || 79.909
| ||  
|-
|-
| [[24/7]] || 2133.129 || 92.030
| [[62/9]] || 3341.126 || 90.272 || 70.109
| ||  
|-
|-
| [[31/9]] || 2141.126 || 91.024
| [[76/11]] || 3346.195 || 87.464 || 56.641
| ||  
|-
|-
| [[38/11]] || 2146.195 || 89.734
| [[97/14]] || 3351.070 || 83.990 || 46.182
| ||  
|-
|-
| [[45/13]] || 2149.696 || 88.572
| [[125/18]] || 3355.031 || 80.945 || 39.535
| ||  
|-
|-
| [[59/17]] || 2154.216 || 86.904
| [[195/28]] || 3359.970 || 77.500 || 33.579
| ||  
|-
|-
| [[94/27]] || 2159.642 || 85.001
| [[7/1]] || 3368.826 || 74.586 || 29.390
| ||  
|-
|-
| [[7/2]] || 2168.826 || 83.459
| [[379/54]] || 3373.400 || 75.394 || 30.489
| ||  
|-
|-
| [[186/53]] || 2173.486 || 83.881
| [[190/27]] || 3377.962 || 77.639 || 33.801
| ||  
|-
|-
| [[95/27]] || 2177.962 || 84.993
| [[127/18]] || 3382.512 || 80.826 || 39.313
| ||  
|-
|-
| [[60/17]] || 2183.313 || 86.860
| [[92/13]] || 3387.747 || 84.821 || 48.386
| ||  
|-
|-
| [[46/13]] || 2187.747 || 88.508
| [[78/11]] || 3391.165 || 87.227 || 55.880
| ||  
|-
|-
| [[39/11]] || 2191.165 || 89.654
| [[64/9]] || 3396.090 || 90.022 || 68.814
| ||  
|-
|-
| [[32/9]] || 2196.090 || 90.939
| [[50/7]] || 3403.802 || 92.504 || 83.841
| ||  
|-
|-
| [[25/7]] || 2203.802 || 91.985
| [[43/6]] || 3409.563 || 93.087 || 81.264
| ||  
|-
|-
| [[43/12]] || 2209.563 || 92.143
| [[36/5]] || 3417.596 || 92.889 || 77.539
| ||  
|-
|-
| [[18/5]] || 2217.596 || 91.868
| [[65/9]] || 3422.931 || 92.505 || 74.973
| ||  
|-
|-
| [[65/18]] || 2222.931 || 91.484
| [[29/4]] || 3429.577 || 91.982 || 73.165
| ||  
|-
|-
| [[29/8]] || 2229.577 || 90.831
| [[51/7]] || 3438.085 || 91.477 || 70.297
| ||  
|-
|-
| [[40/11]] || 2234.996 || 90.215
| [[117/16]] || 3444.438 || 91.266 || 65.747
| ||  
|-
|-
| [[51/14]] || 2238.085 || 89.874
| [[22/3]] || 3449.363 || 91.188 || 64.411
| ||  
|-
|-
| [[117/32]] || 2244.438 || 89.346
| [[59/8]] || 3459.172 || 91.036 || 69.063
| ||  
|-
|-
| [[11/3]] || 2249.363 || 89.211
| [[37/5]] || 3465.030 || 90.729 || 74.001
| ||  
|-
|-
| [[59/16]] || 2259.172 || 89.729
| [[52/7]] || 3471.702 || 90.110 || 66.126
| ||  
|-
|-
| [[37/10]] || 2265.030 || 90.282
| [[67/9]] || 3475.397 || 89.685 || 60.509
| ||  
|-
|-
| [[26/7]] || 2271.702 || 90.802
| [[97/13]] || 3479.368 || 89.251 || 55.971
| ||  
|-
|-
| [[41/11]] || 2277.745 || 91.024
| [[15/2]] || 3488.269 || 88.748 || 51.847
| ||  
|-
|-
| [[15/4]] || 2288.269 || 91.072
| [[158/21]] || 3493.756 || 88.946 || 53.484
| ||  
|-
|-
| [[79/21]] || 2293.756 || 91.101
| [[83/11]] || 3498.729 || 89.408 || 57.716
| ||  
|-
|-
| [[34/9]] || 2301.045 || 91.261
| [[53/7]] || 3504.679 || 90.087 || 66.089
| ||  
|-
|-
| [[72/19]] || 2306.397 || 91.442
| [[38/5]] || 3511.199 || 90.725 || 74.056
| ||  
|-
|-
| [[19/5]] || 2311.199 || 91.637
| [[84/11]] || 3519.463 || 91.165 || 67.580
| ||  
|-
|-
| [[42/11]] || 2319.463 || 92.015
| [[23/3]] || 3526.319 || 91.334 || 65.218
| ||  
|-
|-
| [[23/6]] || 2326.319 || 92.389
| [[77/10]] || 3533.830 || 91.570 || 67.961
| ||  
|-
|-
| [[27/7]] || 2337.039 || 93.165
| [[54/7]] || 3537.039 || 91.735 || 70.328
| ||  
|-
|-
| [[31/8]] || 2345.036 || 93.896
| [[31/4]] || 3545.036 || 92.279 || 73.654
| ||  
|-
|-
| [[35/9]] || 2351.230 || 94.391
| [[70/9]] || 3551.230 || 92.737 || 75.346
| ||  
|-
|-
| [[39/10]] || 2356.169 || 94.508
| [[39/5]] || 3556.169 || 92.976 || 77.758
| ||  
|-
|-
| [[47/12]] || 2363.552 || 93.521
| [[47/6]] || 3563.552 || 92.726 || 81.598
| ||  
|-
|-
| [[55/14]] || 2368.806 || 91.325
| [[55/7]] || 3568.806 || 91.736 || 80.615
| ||  
|-
|-
| [[63/16]] || 2372.736 || 88.598
| [[63/8]] || 3572.736 || 90.390 || 70.693
| ||  
|-
|-
| [[75/19]] || 2377.069 || 84.455
| [[71/9]] || 3575.787 || 88.962 || 62.507
| ||  
|-
|-
| [[95/24]] || 2381.872 || 78.764
| [[95/12]] || 3581.872 || 85.279 || 48.938
| ||  
|-
|-
| [[127/32]] || 2386.422 || 72.968
| [[127/16]] || 3586.422 || 82.182 || 41.351
| ||  
|-
|-
| [[191/48]] || 2390.960 || 67.739
| [[191/24]] || 3590.960 || 79.377 || 35.966
| ||  
|-
|-
| [[387/97]] || 2395.532 || 64.080
| [[383/48]] || 3595.486 || 77.393 || 32.761
| ||  
|-
|-
| [[4/1]] || 2400.000 || 62.798
| [[8/1]] || 3600.000 || 76.672 || 31.713
| ||  
|}
|}


=== 4/1 to 6/1 ===
=== 8/1 to 16/1 ===
{| class="wikitable mw-collapsible sortable"
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
|+ style="font-size: 105%;" | Harmonic entropy of just intervals size 3600 to 4800{{c}}
! Ratio !! Size (cents) !! Entropy <br>(%, Rényi order 1.0)
!Entropy <br>(%, Rényi order 7.0) !! Comments
|-
|-
| [[4/1]] || 2400.000 || 62.798
! Just interval !! Size (cents) !! Entropy (Réyni 1.0) !! Entropy (Réyni 7.0)
| ||
|-
|-
| [[389/97]] || 2404.456 || 64.076
| [[8/1]] || 3600.000 || 76.672 || 31.713
| ||  
|-
|-
| [[193/48]] || 2408.993 || 67.714
| [[385/48]] || 3604.503 || 77.364 || 32.804
| ||  
|-
|-
| [[129/32]] || 2413.473 || 72.852
| [[193/24]] || 3608.993 || 79.306 || 36.012
| ||  
|-
|-
| [[97/24]] || 2417.940 || 78.558
| [[129/16]] || 3613.473 || 82.060 || 41.323
| ||  
|-
|-
| [[77/19]] || 2422.631 || 84.164
| [[97/12]] || 3617.940 || 85.094 || 48.721
| ||  
|-
|-
| [[65/16]] || 2426.841 || 88.282
| [[73/9]] || 3623.879 || 88.737 || 61.801
| ||  
|-
|-
| [[53/13]] || 2432.977 || 92.286
| [[65/8]] || 3626.841 || 90.169 || 69.646
| ||  
|-
|-
| [[49/12]] || 2435.697 || 93.337
| [[57/7]] || 3630.642 || 91.549 || 79.669
| ||  
|-
|-
| [[41/10]] || 2442.749 || 94.509
| [[49/6]] || 3635.697 || 92.628 || 82.024
| ||  
|-
|-
| [[37/9]] || 2447.434 || 94.478
| [[41/5]] || 3642.749 || 93.023 || 78.239
| ||  
|-
|-
| [[33/8]] || 2453.273 || 94.049
| [[33/4]] || 3653.273 || 92.507 || 74.177
| ||  
|-
|-
| [[29/7]] || 2460.751 || 93.336
| [[91/11]] || 3658.036 || 92.181 || 72.380
| ||  
|-
|-
| [[25/6]] || 2470.672 || 92.507
| [[58/7]] || 3660.751 || 92.011 || 70.627
| ||  
|-
|-
| [[46/11]] || 2476.956 || 92.096
| [[25/3]] || 3670.672 || 91.520 || 66.415
| ||  
|-
|-
| [[67/16]] || 2479.307 || 91.958
| [[117/14]] || 3675.612 || 91.277 || 67.716
| ||  
|-
|-
| [[21/5]] || 2484.467 || 91.696
| [[67/8]] || 3679.307 || 91.059 || 70.190
| ||  
|-
|-
| [[59/14]] || 2490.346 || 91.443
| [[42/5]] || 3684.467 || 90.661 || 72.830
| ||  
|-
|-
| [[38/9]] || 2493.603 || 91.333
| [[59/7]] || 3690.346 || 90.106 || 65.391
| ||  
|-
|-
| [[55/13]] || 2497.104 || 91.229
| [[110/13]] || 3697.104 || 89.474 || 57.492
| ||  
|-
|-
| [[17/4]] || 2504.955 || 91.063
| [[17/2]] || 3704.955 || 89.148 || 54.268
| ||  
|-
|-
| [[64/15]] || 2511.731 || 90.911
| [[128/15]] || 3711.731 || 89.402 || 56.734
| ||  
|-
|-
| [[30/7]] || 2519.443 || 90.589
| [[77/9]] || 3716.234 || 89.785 || 61.038
| ||  
|-
|-
| [[43/10]] || 2525.204 || 90.237
| [[60/7]] || 3719.443 || 90.106 || 65.332
| ||  
|-
|-
| [[56/13]] || 2528.298 || 90.045
| [[43/5]] || 3725.204 || 90.677 || 72.770
| ||  
|-
|-
| [[108/25]] || 2533.238 || 89.798
| [[95/11]] || 3732.509 || 91.255 || 69.106
| ||  
|-
|-
| [[13/3]] || 2538.573 || 89.729
| [[26/3]] || 3738.573 || 91.610 || 67.183
| ||  
|-
|-
| [[61/14]] || 2548.059 || 90.228
| [[61/7]] || 3748.059 || 92.151 || 71.040
| ||  
|-
|-
| [[35/8]] || 2555.140 || 90.942
| [[35/4]] || 3755.140 || 92.594 || 74.884
| ||  
|-
|-
| [[57/13]] || 2558.940 || 91.316
| [[79/9]] || 3760.627 || 92.837 || 76.786
| ||  
|-
|-
| [[22/5]] || 2565.004 || 91.732
| [[44/5]] || 3765.004 || 92.808 || 78.930
| ||  
|-
|-
| [[31/7]] || 2576.210 || 91.266
| [[53/6]] || 3771.550 || 92.065 || 81.714
| ||  
|-
|-
| [[40/9]] || 2582.404 || 90.118
| [[62/7]] || 3776.210 || 90.798 || 73.622
| ||  
|-
|-
| [[49/11]] || 2586.334 || 89.120
| [[71/8]] || 3779.697 || 89.397 || 64.348
| ||  
|-
|-
| [[67/15]] || 2591.038 || 87.824
| [[98/11]] || 3786.334 || 85.814 || 49.724
| ||  
|-
|-
| [[103/23]] || 2595.526 || 86.696
| [[134/15]] || 3791.038 || 82.979 || 42.173
| ||  
|-
|-
| [[9/2]] || 2603.910 || 85.700
| [[206/23]] || 3795.526 || 80.585 || 37.158
| ||  
|-
|-
| [[167/37]] || 2609.101 || 86.069
| [[9/1]] || 3803.910 || 78.487 || 33.500
| ||  
|-
|-
| [[86/19]] || 2614.005 || 87.026
| [[343/38]] || 3808.965 || 79.252 || 34.878
| ||  
|-
|-
| [[59/13]] || 2618.644 || 88.237
| [[181/20]] || 3813.501 || 81.100 || 38.408
| ||  
|-
|-
| [[41/9]] || 2625.152 || 89.931
| [[118/13]] || 3818.644 || 84.004 || 45.035
| ||  
|-
|-
| [[32/7]] || 2631.174 || 91.047
| [[91/10]] || 3823.040 || 86.618 || 52.905
| ||  
|-
|-
| [[23/5]] || 2641.961 || 91.557
| [[73/8]] || 3827.789 || 89.122 || 63.684
| ||  
|-
|-
| [[37/8]] || 2651.344 || 90.918
| [[64/7]] || 3831.174 || 90.519 || 72.620
| ||  
|-
|-
| [[51/11]] || 2655.593 || 90.538
| [[55/6]] || 3835.677 || 91.815 || 81.602
| ||  
|-
|-
| [[121/26]] || 2662.108 || 90.078
| [[46/5]] || 3841.961 || 92.648 || 79.540
| ||  
|-
|-
| [[14/3]] || 2666.871 || 89.943
| [[37/4]] || 3851.344 || 92.585 || 75.474
| ||  
|-
|-
| [[61/13]] || 2676.357 || 90.178
| [[65/7]] || 3858.015 || 92.199 || 71.715
| ||  
|-
|-
| [[47/10]] || 2679.193 || 90.338
| [[121/13]] || 3862.108 || 91.941 || 69.445
| ||  
|-
|-
| [[33/7]] || 2684.447 || 90.654
| [[28/3]] || 3866.871 || 91.644 || 68.437
| ||  
|-
|-
| [[52/11]] || 2689.210 || 90.913
| [[47/5]] || 3879.193 || 90.732 || 71.679
| ||  
|-
|-
| [[19/4]] || 2697.513 || 91.250
| [[66/7]] || 3884.447 || 90.277 || 65.124
| ||  
|-
|-
| [[81/17]] || 2702.865 || 91.441
| [[85/9]] || 3887.359 || 90.041 || 61.645
| ||  
|-
|-
| [[43/9]] || 2707.608 || 91.620
| [[19/2]] || 3897.513 || 89.594 || 56.279
| ||  
|-
|-
| [[67/14]] || 2710.481 || 91.756
| [[181/19]] || 3902.302 || 89.701 || 57.538
| ||  
|-
|-
| [[24/5]] || 2715.641 || 92.033
| [[86/9]] || 3907.608 || 90.028 || 61.747
| ||  
|-
|-
| [[29/6]] || 2727.622 || 92.932
| [[67/7]] || 3910.481 || 90.256 || 65.199
| ||  
|-
|-
| [[34/7]] || 2736.130 || 93.640
| [[48/5]] || 3915.641 || 90.728 || 71.780
| ||  
|-
|-
| [[39/8]] || 2742.483 || 93.885
| [[29/3]] || 3927.622 || 91.657 || 69.328
| ||  
|-
|-
| [[44/9]] || 2747.408 || 93.589
| [[97/10]] || 3933.582 || 92.028 || 70.853
| ||  
|-
|-
| [[54/11]] || 2754.547 || 91.677
| [[68/7]] || 3936.130 || 92.168 || 72.306
| ||  
|-
|-
| [[64/13]] || 2759.472 || 88.918
| [[39/4]] || 3942.483 || 92.425 || 76.055
| ||  
|-
|-
| [[74/15]] || 2763.075 || 86.111
| [[49/5]] || 3951.338 || 92.127 || 80.025
| ||  
|-
|-
| [[94/19]] || 2767.994 || 81.362
| [[59/6]] || 3957.217 || 91.041 || 78.171
| ||  
|-
|-
| [[129/26]] || 2772.945 || 76.173
| [[69/7]] || 3961.403 || 89.683 || 67.696
| ||  
|-
|-
| [[199/40]] || 2777.636 || 71.787
| [[89/9]] || 3966.970 || 87.167 || 54.700
| ||  
|-
|-
| [[5/1]] || 2786.314 || 68.009
| [[129/13]] || 3972.945 || 83.992 || 44.361
| ||  
|-
|-
| [[361/72]] || 2791.116 || 69.236
| [[199/20]] || 3977.636 || 81.728 || 38.911
| ||  
|-
|-
| [[186/37]] || 2795.647 || 72.363
| [[10/1]] || 3986.314 || 79.780 || 34.989
| ||  
|-
|-
| [[126/25]] || 2800.109 || 76.655
| [[361/36]] || 3991.116 || 80.437 || 36.252
| ||  
|-
|-
| [[91/18]] || 2805.444 || 82.237
| [[181/18]] || 3995.905 || 82.193 || 39.947
| ||  
|-
|-
| [[76/15]] || 2809.244 || 85.883
| [[121/12]] || 4000.681 || 84.621 || 46.056
| ||  
|-
|-
| [[61/12]] || 2814.930 || 90.123
| [[91/9]] || 4005.444 || 87.182 || 54.555
| ||  
|-
|-
| [[51/10]] || 2820.597 || 92.661
| [[71/7]] || 4010.871 || 89.704 || 67.126
| ||  
|-
|-
| [[46/9]] || 2824.364 || 93.525
| [[61/6]] || 4014.930 || 91.082 || 77.529
| ||  
|-
|-
| [[41/8]] || 2829.062 || 93.937
| [[51/5]] || 4020.597 || 92.220 || 80.758
| ||  
|-
|-
| [[36/7]] || 2835.084 || 93.804
| [[41/4]] || 4029.062 || 92.605 || 76.712
| ||  
|-
|-
| [[31/6]] || 2843.081 || 93.178
| [[72/7]] || 4035.084 || 92.356 || 73.073
| ||  
|-
|-
| [[57/11]] || 2848.150 || 92.750
| [[31/3]] || 4043.081 || 91.796 || 70.334
| ||  
|-
|-
| [[26/5]] || 2854.214 || 92.307
| [[83/8]] || 4050.047 || 91.222 || 71.949
| ||  
|-
|-
| [[47/9]] || 2861.597 || 91.870
| [[52/5]] || 4054.214 || 90.858 || 70.652
| ||  
|-
|-
| [[21/4]] || 2870.781 || 91.425
| [[94/9]] || 4061.597 || 90.262 || 61.915
| ||  
|-
|-
| [[79/15]] || 2876.268 || 91.152
| [[21/2]] || 4070.781 || 89.908 || 57.273
| ||  
|-
|-
| [[37/7]] || 2882.518 || 90.820
| [[179/17]] || 4075.624 || 89.990 || 58.448
| ||  
|-
|-
| [[53/10]] || 2887.191 || 90.579
| [[74/7]] || 4082.518 || 90.399 || 64.359
| ||  
|-
|-
| [[117/22]] || 2893.120 || 90.378
| [[53/5]] || 4087.191 || 90.789 || 69.995
| ||  
|-
|-
| [[16/3]] || 2898.045 || 90.360
| [[117/11]] || 4093.120 || 91.311 || 71.041
| ||  
|-
|-
| [[59/11]] || 2907.854 || 90.739
| [[32/3]] || 4098.045 || 91.721 || 70.066
| ||  
|-
|-
| [[43/8]] || 2911.518 || 90.933
| [[75/7]] || 4105.757 || 92.214 || 72.572
| ||  
|-
|-
| [[27/5]] || 2919.551 || 91.115
| [[43/4]] || 4111.518 || 92.328 || 76.211
| ||  
|-
|-
| [[65/12]] || 2924.886 || 90.826
| [[54/5]] || 4119.551 || 91.684 || 80.063
| ||  
|-
|-
| [[38/7]] || 2928.687 || 90.366
| [[65/6]] || 4124.886 || 90.424 || 72.814
| ||  
|-
|-
| [[49/9]] || 2933.742 || 89.479
| [[76/7]] || 4128.687 || 89.080 || 63.335
| ||  
|-
|-
| [[60/11]] || 2936.951 || 88.814
| [[87/8]] || 4131.532 || 87.858 || 56.993
| ||  
|-
|-
| [[93/17]] || 2942.035 || 87.822
| [[120/11]] || 4136.951 || 85.258 || 47.263
| ||  
|-
|-
| [[181/33]] || 2946.542 || 87.184
| [[186/17]] || 4142.035 || 82.949 || 40.960
| ||  
|-
|-
| [[11/2]] || 2951.318 || 86.954
| [[362/33]] || 4146.542 || 81.497 || 37.654
| ||  
|-
|-
| [[94/17]] || 2960.551 || 87.918
| [[11/1]] || 4151.318 || 80.923 || 36.487
| ||  
|-
|-
| [[61/11]] || 2965.567 || 88.943
| [[199/18]] || 4160.040 || 82.753 || 40.536
| ||  
|-
|-
| [[50/9]] || 2968.717 || 89.611
| [[122/11]] || 4165.567 || 85.227 || 47.248
| ||  
|-
|-
| [[39/7]] || 2973.657 || 90.516
| [[89/8]] || 4170.880 || 87.785 || 56.740
| ||  
|-
|-
| [[67/12]] || 2977.352 || 91.004
| [[78/7]] || 4173.657 || 88.990 || 62.875
| ||  
|-
|-
| [[28/5]] || 2982.512 || 91.342
| [[67/6]] || 4177.352 || 90.328 || 72.066
| ||  
|-
|-
| [[45/8]] || 2990.224 || 91.271
| [[56/5]] || 4182.512 || 91.600 || 80.389
| ||  
|-
|-
| [[62/11]] || 2993.718 || 91.121
| [[45/4]] || 4190.224 || 92.309 || 76.901
| ||  
|-
|-
| [[17/3]] || 3003.000 || 90.796
| [[79/7]] || 4195.711 || 92.234 || 73.551
| ||  
|-
|-
| [[91/16]] || 3009.354 || 90.823
| [[34/3]] || 4203.000 || 91.759 || 71.407
| ||  
|-
|-
| [[40/7]] || 3017.488 || 91.140
| [[91/8]] || 4209.354 || 91.208 || 72.159
| ||  
|-
|-
| [[63/11]] || 3021.418 || 91.351
| [[57/5]] || 4213.154 || 90.874 || 70.065
| ||  
|-
|-
| [[23/4]] || 3028.274 || 91.759
| [[80/7]] || 4217.488 || 90.537 || 65.217
| ||  
|-
|-
| [[52/9]] || 3036.618 || 92.295
| [[126/11]] || 4221.418 || 90.300 || 61.683
| ||  
|-
|-
| [[29/5]] || 3043.264 || 92.782
| [[23/2]] || 4228.274 || 90.141 || 59.271
| ||  
|-
|-
| [[35/6]] || 3053.185 || 93.524
| [[104/9]] || 4236.618 || 90.448 || 62.997
| ||  
|-
|-
| [[41/7]] || 3060.237 || 93.677
| [[58/5]] || 4243.263 || 90.982 || 70.207
| ||  
|-
|-
| [[47/8]] || 3065.507 || 93.159
| [[35/3]] || 4253.185 || 91.865 || 72.236
| ||  
|-
|-
| [[53/9]] || 3069.595 || 92.138
| [[117/10]] || 4258.124 || 92.171 || 73.294
| ||  
|-
|-
| [[65/11]] || 3075.523 || 89.379
| [[47/4]] || 4265.507 || 92.188 || 77.572
| ||  
|-
|-
| [[77/13]] || 3079.616 || 86.553
| [[59/5]] || 4272.858 || 91.253 || 79.374
| ||  
|-
|-
| [[95/16]] || 3083.827 || 83.035
| [[71/6]] || 4277.742 || 89.927 || 69.007
| ||  
|-
|-
| [[131/22]] || 3088.790 || 78.596
| [[95/8]] || 4283.827 || 87.551 || 55.324
| ||  
|-
|-
| [[197/33]] || 3093.189 || 75.071
| [[131/11]] || 4288.790 || 85.337 || 46.968
| ||  
|-
|-
| [[6/1]] || 3101.955 || 71.731
| [[191/16]] || 4292.915 || 83.658 || 42.013
| ||
|}
 
=== 6/1 to 8/1 ===
{| class="wikitable mw-collapsible sortable"
|+ Harmonic entropy of just intervals
! Ratio !! Size (cents) !! Entropy <br>(%, Rényi order 1.0)
!Entropy <br>(%, Rényi order 7.0) !! Comments
|-
|-
| [[6/1]] || 3101.955 || 71.731
| [[12/1]] || 4301.955 || 81.853 || 37.504
| ||
|-
|-
| [[367/61]] || 3106.679 || 72.714
| [[361/30]] || 4306.757 || 82.366 || 38.662
| ||  
|-
|-
| [[187/31]] || 3111.238 || 75.340
| [[181/15]] || 4311.546 || 83.790 || 42.265
| ||  
|-
|-
| [[127/21]] || 3115.641 || 78.905
| [[121/10]] || 4316.322 || 85.773 || 48.300
| ||  
|-
|-
| [[91/15]] || 3121.085 || 83.711
| [[85/7]] || 4322.443 || 88.421 || 59.579
| ||  
|-
|-
| [[73/12]] || 3125.835 || 87.463
| [[73/6]] || 4325.834 || 89.679 || 67.466
| ||  
|-
|-
| [[61/10]] || 3130.571 || 90.313
| [[61/5]] || 4330.571 || 91.015 || 78.002
| ||  
|-
|-
| [[55/9]] || 3133.722 || 91.647
| [[49/4]] || 4337.652 || 92.004 || 77.028
| ||  
|-
|-
| [[49/8]] || 3137.652 || 92.720
| [[86/7]] || 4342.692 || 92.130 || 74.003
| ||  
|-
|-
| [[43/7]] || 3142.692 || 93.315
| [[37/3]] || 4349.389 || 91.861 || 72.160
| ||  
|-
|-
| [[37/6]] || 3149.389 || 93.281
| [[62/5]] || 4358.722 || 91.180 || 69.278
| ||  
|-
|-
| [[31/5]] || 3158.722 || 92.634
| [[87/7]] || 4362.706 || 90.922 || 65.101
| ||  
|-
|-
| [[56/9]] || 3164.916 || 92.175
| [[25/2]] || 4372.627 || 90.671 || 60.096
| ||  
|-
|-
| [[25/4]] || 3172.627 || 91.679
| [[163/13]] || 4377.946 || 90.837 || 61.619
| ||  
|-
|-
| [[69/11]] || 3178.911 || 91.336
| [[88/7]] || 4382.492 || 91.128 || 65.187
| ||  
|-
|-
| [[44/7]] || 3182.492 || 91.164
| [[63/5]] || 4386.422 || 91.450 || 69.379
| ||  
|-
|-
| [[63/10]] || 3186.422 || 91.034
| [[101/8]] || 4389.854 || 91.745 || 72.115
| ||  
|-
|-
| [[120/19]] || 3190.756 || 90.949
| [[38/3]] || 4395.558 || 92.186 || 72.796
| ||  
|-
|-
| [[19/3]] || 3195.558 || 90.954
| [[127/10]] || 4400.108 || 92.375 || 73.739
| ||  
|-
|-
| [[127/20]] || 3200.108 || 91.016
| [[51/4]] || 4406.910 || 92.143 || 77.501
| ||  
|-
|-
| [[51/8]] || 3206.910 || 91.113
| [[64/5]] || 4413.686 || 90.999 || 75.769
| ||  
|-
|-
| [[32/5]] || 3213.686 || 90.949
| [[90/7]] || 4421.398 || 88.468 || 58.207
| ||  
|-
|-
| [[45/7]] || 3221.398 || 90.200
| [[116/9]] || 4425.667 || 86.712 || 50.516
| ||  
|-
|-
| [[58/9]] || 3225.667 || 89.582
| [[181/14]] || 4430.989 || 84.615 || 43.643
| ||  
|-
|-
| [[84/13]] || 3230.253 || 88.880
| [[337/26]] || 4435.398 || 83.344 || 40.239
| ||  
|-
|-
| [[162/25]] || 3235.193 || 88.287
| [[13/1]] || 4440.528 || 82.766 || 38.877
| ||  
|-
|-
| [[13/2]] || 3240.528 || 88.036
| [[196/15]] || 4449.383 || 84.323 || 43.108
| ||  
|-
|-
| [[98/15]] || 3249.383 || 88.679
| [[131/10]] || 4453.794 || 85.956 || 48.319
| ||  
|-
|-
| [[59/9]] || 3255.262 || 89.542
| [[92/7]] || 4459.448 || 88.265 || 58.011
| ||  
|-
|-
| [[46/7]] || 3259.448 || 90.160
| [[79/6]] || 4462.582 || 89.429 || 64.808
| ||  
|-
|-
| [[33/5]] || 3266.959 || 90.915
| [[66/5]] || 4466.959 || 90.754 || 75.179
| ||  
|-
|-
| [[53/8]] || 3273.505 || 91.119
| [[53/4]] || 4473.505 || 91.921 || 78.063
| ||  
|-
|-
| [[20/3]] || 3284.359 || 91.038
| [[40/3]] || 4484.359 || 92.092 || 73.638
| ||  
|-
|-
| [[127/19]] || 3288.909 || 91.050
| [[107/8]] || 4489.760 || 91.736 || 72.281
| ||  
|-
|-
| [[47/7]] || 3296.681 || 91.284
| [[67/5]] || 4492.993 || 91.487 || 69.568
| ||  
|-
|-
| [[27/4]] || 3305.865 || 91.845
| [[94/7]] || 4496.681 || 91.231 || 65.916
| ||  
|-
|-
| [[61/9]] || 3312.975 || 92.403
| [[27/2]] || 4505.865 || 90.886 || 61.598
| ||  
|-
|-
| [[34/5]] || 3318.642 || 92.846
| [[149/11]] || 4511.684 || 90.972 || 63.372
| ||  
|-
|-
| [[41/6]] || 3327.107 || 93.164
| [[68/5]] || 4518.642 || 91.340 || 69.503
| ||  
|-
|-
| [[48/7]] || 3333.129 || 92.684
| [[41/3]] || 4527.107 || 91.810 || 73.901
| ||  
|-
|-
| [[55/8]] || 3337.632 || 91.625
| [[55/4]] || 4537.632 || 91.476 || 77.976
| ||  
|-
|-
| [[62/9]] || 3341.126 || 90.272
| [[69/5]] || 4543.916 || 90.311 || 72.427
| ||  
|-
|-
| [[76/11]] || 3346.195 || 87.464
| [[97/7]] || 4551.070 || 88.055 || 56.667
| ||  
|-
|-
| [[97/14]] || 3351.070 || 83.990
| [[125/9]] || 4555.031 || 86.605 || 50.022
| ||  
|-
|-
| [[125/18]] || 3355.031 || 80.945
| [[195/14]] || 4559.970 || 84.931 || 44.083
| ||  
|-
|-
| [[195/28]] || 3359.971 || 77.500
| [[14/1]] || 4568.826 || 83.521 || 39.954
| ||  
|-
|-
| [[7/1]] || 3368.826 || 74.586
| [[379/27]] || 4573.400 || 83.942 || 41.088
| ||  
|-
|-
| [[379/54]] || 3373.400 || 75.394
| [[183/13]] || 4578.312 || 85.179 || 44.783
| ||  
|-
|-
| [[190/27]] || 3377.962 || 77.639
| [[127/9]] || 4582.512 || 86.647 || 49.967
| ||  
|-
|-
| [[127/18]] || 3382.512 || 80.826
| [[85/6]] || 4589.314 || 89.132 || 62.314
| ||  
|-
|-
| [[92/13]] || 3387.747 || 84.821
| [[71/5]] || 4593.383 || 90.358 || 71.686
| ||  
|-
|-
| [[78/11]] || 3391.165 || 87.227
| [[57/4]] || 4599.468 || 91.555 || 78.226
| ||  
|-
|-
| [[64/9]] || 3396.090 || 90.022
| [[100/7]] || 4603.802 || 91.933 || 76.083
| ||  
|-
|-
| [[50/7]] || 3403.802 || 92.504
| [[43/3]] || 4609.563 || 91.963 || 74.300
| ||  
|-
|-
| [[43/6]] || 3409.563 || 93.087
| [[72/5]] || 4617.596 || 91.554 || 69.486
| ||  
|-
|-
| [[36/5]] || 3417.596 || 92.889
| [[101/7]] || 4621.028 || 91.360 || 66.298
| ||  
|-
|-
| [[65/9]] || 3422.931 || 92.505
| [[29/2]] || 4629.577 || 91.126 || 62.605
| ||  
|-
|-
| [[29/4]] || 3429.577 || 91.982
| [[131/9]] || 4636.198 || 91.269 || 64.909
| ||  
|-
|-
| [[51/7]] || 3438.085 || 91.477
| [[73/5]] || 4641.476 || 91.513 || 69.532
| ||  
|-
|-
| [[117/16]] || 3444.438 || 91.266
| [[117/8]] || 4644.438 || 91.650 || 72.268
| ||  
|-
|-
| [[22/3]] || 3449.363 || 91.188
| [[44/3]] || 4649.363 || 91.788 || 74.668
| ||  
|-
|-
| [[59/8]] || 3459.172 || 91.036
| [[59/4]] || 4659.172 || 91.167 || 78.067
| ||  
|-
|-
| [[37/5]] || 3465.030 || 90.729
| [[74/5]] || 4665.030 || 89.937 || 69.658
| ||  
|-
|-
| [[52/7]] || 3471.702 || 90.110
| [[89/6]] || 4668.925 || 88.775 || 61.044
| ||  
|-
|-
| [[67/9]] || 3475.397 || 89.685
| [[134/9]] || 4675.397 || 86.563 || 49.961
| ||  
|-
|-
| [[97/13]] || 3479.368 || 89.251
| [[194/13]] || 4679.368 || 85.312 || 45.361
| ||  
|-
|-
| [[15/2]] || 3488.269 || 88.748
| [[15/1]] || 4688.269 || 83.951 || 41.161
| ||  
|-
|-
| [[158/21]] || 3493.756 || 88.946
| [[331/22]] || 4693.507 || 84.433 || 42.631
| ||  
|-
|-
| [[83/11]] || 3498.729 || 89.408
| [[181/12]] || 4697.860 || 85.477 || 46.079
| ||  
|-
|-
| [[53/7]] || 3504.679 || 90.087
| [[121/8]] || 4702.636 || 87.013 || 52.174
| ||  
|-
|-
| [[38/5]] || 3511.199 || 90.725
| [[91/6]] || 4707.399 || 88.619 || 60.650
| ||  
|-
|-
| [[84/11]] || 3519.463 || 91.165
| [[76/5]] || 4711.199 || 89.736 || 68.979
| ||  
|-
|-
| [[23/3]] || 3526.319 || 91.334
| [[61/4]] || 4716.885 || 90.936 || 78.094
| ||  
|-
|-
| [[77/10]] || 3533.830 || 91.570
| [[46/3]] || 4726.319 || 91.578 || 75.085
| ||  
|-
|-
| [[54/7]] || 3537.039 || 91.735
| [[77/5]] || 4733.830 || 91.363 || 69.891
| ||  
|-
|-
| [[31/4]] || 3545.036 || 92.279
| [[108/7]] || 4737.039 || 91.235 || 67.108
| ||  
|-
|-
| [[70/9]] || 3551.230 || 92.737
| [[31/2]] || 4745.036 || 91.079 || 63.942
| ||  
|-
|-
| [[39/5]] || 3556.169 || 92.976
| [[140/9]] || 4751.230 || 91.213 || 65.968
| ||  
|-
|-
| [[47/6]] || 3563.552 || 92.726
| [[78/5]] || 4756.169 || 91.411 || 70.041
| ||  
|-
|-
| [[55/7]] || 3568.806 || 91.736
| [[47/3]] || 4763.552 || 91.583 || 75.574
| ||  
|-
|-
| [[63/8]] || 3572.736 || 90.390
| [[63/4]] || 4772.736 || 90.874 || 77.783
| ||  
|-
|-
| [[71/9]] || 3575.787 || 88.962
| [[79/5]] || 4778.223 || 89.704 || 67.807
| ||  
|-
|-
| [[95/12]] || 3581.872 || 85.279
| [[95/6]] || 4781.872 || 88.659 || 60.160
| ||  
|-
|-
| [[127/16]] || 3586.422 || 82.182
| [[127/8]] || 4786.422 || 87.219 || 52.446
| ||  
|-
|-
| [[191/24]] || 3590.960 || 79.377
| [[191/12]] || 4790.960 || 85.884 || 46.901
| ||  
|-
|-
| [[383/48]] || 3595.486 || 77.393
| [[383/24]] || 4795.486 || 84.936 || 43.524
| ||  
|-
|-
| [[8/1]] || 3600.000 || 76.672
| [[16/1]] || 4800.000 || 84.596 || 42.308
| ||  
|}
|}


Line 1,915: Line 1,691:
* [[Runoff]]
* [[Runoff]]


[[Category:Tables]][[Category:Harmonic entropy]]
[[Category:Lists of intervals]]
 
[[Category:Harmonic entropy]]
 
{{todo|inline=1|complete table|comment=Fill in the values for the Rényi order 7.0 column of each table.}}
Retrieved from "https://en.xen.wiki/w/Harmonic_entropy_of_just_intervals"