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This tuning dispenses with octave-equivalency.
The only intervals are those representing the quotients of two primes.
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Prime-only tuning
| Interval name |
Numerator |
/ |
Denominator |
Decimal |
Diapasons |
Cents |
| ? | 47 | / | 2 | 23.500 | 4.555 | 5466
| | ? | 43 | / | 2 | 21.500 | 4.426 | 5312
| | ? | 41 | / | 2 | 20.500 | 4.358 | 5229
| | ? | 37 | / | 2 | 18.500 | 4.209 | 5051
| | ? | 47 | / | 3 | 15.667 | 3.970 | 4764
| | ? | 31 | / | 2 | 15.500 | 3.954 | 4745
| | ? | 29 | / | 2 | 14.500 | 3.858 | 4630
| | ? | 43 | / | 3 | 14.333 | 3.841 | 4610
| | ? | 41 | / | 3 | 13.667 | 3.773 | 4527
| | ? | 37 | / | 3 | 12.333 | 3.624 | 4349
| | ? | 23 | / | 2 | 11.500 | 3.524 | 4228
| | ? | 31 | / | 3 | 10.333 | 3.369 | 4043
| | ? | 29 | / | 3 | 9.667 | 3.273 | 3928
| | ? | 19 | / | 2 | 9.500 | 3.248 | 3898
| | ? | 47 | / | 5 | 9.400 | 3.233 | 3879
| | ? | 43 | / | 5 | 8.600 | 3.104 | 3725
| | ? | 17 | / | 2 | 8.500 | 3.087 | 3705
| | ? | 41 | / | 5 | 8.200 | 3.036 | 3643
| | ? | 23 | / | 3 | 7.667 | 2.939 | 3526
| | ? | 37 | / | 5 | 7.400 | 2.888 | 3465
| | ? | 47 | / | 7 | 6.714 | 2.747 | 3297
| | ? | 13 | / | 2 | 6.500 | 2.700 | 3241
| | ? | 19 | / | 3 | 6.333 | 2.663 | 3196
| | ? | 31 | / | 5 | 6.200 | 2.632 | 3159
| | ? | 43 | / | 7 | 6.143 | 2.619 | 3143
| | ? | 41 | / | 7 | 5.857 | 2.550 | 3060
| | ? | 29 | / | 5 | 5.800 | 2.536 | 3043
| | ? | 17 | / | 3 | 5.667 | 2.503 | 3003
| | ? | 11 | / | 2 | 5.500 | 2.459 | 2951
| | ? | 37 | / | 7 | 5.286 | 2.402 | 2883
| | ? | 23 | / | 5 | 4.600 | 2.202 | 2642
| | ? | 31 | / | 7 | 4.429 | 2.147 | 2576
| | ? | 13 | / | 3 | 4.333 | 2.115 | 2539
| | ? | 47 | / | 11 | 4.273 | 2.095 | 2514
| | ? | 29 | / | 7 | 4.143 | 2.051 | 2461
| | ? | 43 | / | 11 | 3.909 | 1.967 | 2360
| | ? | 19 | / | 5 | 3.800 | 1.926 | 2311
| | ? | 41 | / | 11 | 3.727 | 1.898 | 2278
| | ? | 11 | / | 3 | 3.667 | 1.874 | 2249
| | ? | 47 | / | 13 | 3.615 | 1.854 | 2225
| | Aug 14th | 7 | / | 2 | 3.500 | 1.807 | 2169
| | ? | 17 | / | 5 | 3.400 | 1.766 | 2119
| | ? | 37 | / | 11 | 3.364 | 1.750 | 2100
| | ? | 43 | / | 13 | 3.308 | 1.726 | 2071
| | ? | 23 | / | 7 | 3.286 | 1.716 | 2059
| | ? | 41 | / | 13 | 3.154 | 1.657 | 1989
| | ? | 37 | / | 13 | 2.846 | 1.509 | 1811
| | ? | 31 | / | 11 | 2.818 | 1.495 | 1794
| | ? | 47 | / | 17 | 2.765 | 1.467 | 1761
| | ? | 19 | / | 7 | 2.714 | 1.441 | 1729
| | ? | 29 | / | 11 | 2.636 | 1.399 | 1678
| | ? | 13 | / | 5 | 2.600 | 1.379 | 1654
| | ? | 43 | / | 17 | 2.529 | 1.339 | 1607
| | Maj 10th | 5 | / | 2 | 2.500 | 1.322 | 1586
| | ? | 47 | / | 19 | 2.474 | 1.307 | 1568
| | ? | 17 | / | 7 | 2.429 | 1.280 | 1536
| | ? | 41 | / | 17 | 2.412 | 1.270 | 1524
| | ? | 31 | / | 13 | 2.385 | 1.254 | 1505
| | Aug 9th | 7 | / | 3 | 2.333 | 1.222 | 1467
| | ? | 43 | / | 19 | 2.263 | 1.178 | 1414
| | ? | 29 | / | 13 | 2.231 | 1.158 | 1389
| | ? | 11 | / | 5 | 2.200 | 1.138 | 1365
| | ? | 37 | / | 17 | 2.176 | 1.122 | 1346
| | ? | 41 | / | 19 | 2.158 | 1.110 | 1332
| | ? | 23 | / | 11 | 2.091 | 1.064 | 1277
| | ? | 47 | / | 23 | 2.043 | 1.031 | 1237
| | ? | 37 | / | 19 | 1.947 | 0.962 | 1154
| | ? | 43 | / | 23 | 1.870 | 0.903 | 1083
| | ? | 13 | / | 7 | 1.857 | 0.893 | 1072
| | ? | 31 | / | 17 | 1.824 | 0.867 | 1040
| | ? | 41 | / | 23 | 1.783 | 0.834 | 1001
| | ? | 23 | / | 13 | 1.769 | 0.823 | 988
| | ? | 19 | / | 11 | 1.727 | 0.788 | 946
| | ? | 29 | / | 17 | 1.706 | 0.771 | 925
| | Maj 6th | 5 | / | 3 | 1.667 | 0.737 | 884
| | ? | 31 | / | 19 | 1.632 | 0.706 | 848
| | ? | 47 | / | 29 | 1.621 | 0.697 | 836
| | ? | 37 | / | 23 | 1.609 | 0.686 | 823
| | ? | 11 | / | 7 | 1.571 | 0.652 | 782
| | ? | 17 | / | 11 | 1.545 | 0.628 | 754
| | ? | 29 | / | 19 | 1.526 | 0.610 | 732
| | ? | 47 | / | 31 | 1.516 | 0.600 | 720
| | Perfect 5th | 3 | / | 2 | 1.500 | 0.585 | 702
| | ? | 43 | / | 29 | 1.483 | 0.568 | 682
| | ? | 19 | / | 13 | 1.462 | 0.547 | 657
| | ? | 41 | / | 29 | 1.414 | 0.500 | 599
| | Tritone | 7 | / | 5 | 1.400 | 0.485 | 583
| | ? | 43 | / | 31 | 1.387 | 0.472 | 566
| | ? | 23 | / | 17 | 1.353 | 0.436 | 523
| | ? | 31 | / | 23 | 1.348 | 0.431 | 517
| | ? | 41 | / | 31 | 1.323 | 0.403 | 484
| | ? | 17 | / | 13 | 1.308 | 0.387 | 464
| | ? | 37 | / | 29 | 1.276 | 0.351 | 422
| | ? | 47 | / | 37 | 1.270 | 0.345 | 414
| | ? | 29 | / | 23 | 1.261 | 0.334 | 401
| | ? | 23 | / | 19 | 1.211 | 0.276 | 331
| | ? | 37 | / | 31 | 1.194 | 0.255 | 306
| | ? | 13 | / | 11 | 1.182 | 0.241 | 289
| | ? | 43 | / | 37 | 1.162 | 0.217 | 260
| | ? | 47 | / | 41 | 1.146 | 0.197 | 236
| | ? | 19 | / | 17 | 1.118 | 0.160 | 193
| | ? | 41 | / | 37 | 1.108 | 0.148 | 178
| | ? | 47 | / | 43 | 1.093 | 0.128 | 154
| | ? | 31 | / | 29 | 1.069 | 0.096 | 115
| | ? | 43 | / | 41 | 1.049 | 0.069 | 82
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