Parapyth/Patent vals
From Xenharmonic Reference
The following patent vals support 2.3.7.11.13 Parapyth. Vals contorted in 2.3.7.11.13 are not included.
All vals on this list except 24 and 65 either temper out 5120/5103 (leading to the 41 & 46 & 58 extension called Pele) or map it negatively meaning that 81/80 is larger than 64/63; only 63 and 80 equate 81/80 to two 64/63's.
| Edo | 5 extension | 23 extension | 3/2 tuning | 28/27 tuning | 7/4 tuning | 11/8 tuning | 13/8 tuning |
|---|---|---|---|---|---|---|---|
| 24 | 700.000 | 50.000 | 950.000 | 550.000 | 850.000 | ||
| 65 | 701.538 | 55.385 | 960.000 | 553.846 | 849.231 | ||
| 41 | 41 & 46 & 58 | 17 & 41 & 46 | 702.439 | 58.537 | 965.854 | 556.098 | 848.780 |
| 128 | 41 & 46 & 58 | 703.125 | 56.250 | 965.625 | 553.125 | 843.750 | |
| 29 | 41 & 46 & 58 | 17 & 41 & 46 | 703.448 | 41.379 | 951.724 | 537.931 | 827.586 |
| 87 | 41 & 46 & 58 | 703.448 | 55.172 | 965.517 | 551.724 | 841.379 | |
| 232 | 41 & 46 & 58 | 703.448 | 56.897 | 967.241 | 553.448 | 843.103 | |
| 145 | 41 & 46 & 58 | 703.448 | 57.931 | 968.276 | 554.483 | 844.138 | |
| 58 | 41 & 46 & 58 | 17 & 41 & 46 | 703.448 | 62.069 | 972.414 | 558.621 | 848.276 |
| 278 | 703.597 | 56.115 | 966.906 | 552.518 | 841.727 | ||
| 191 | 703.665 | 56.545 | 967.539 | 552.880 | 841.885 | ||
| 295 | 703.729 | 56.949 | 968.136 | 553.220 | 842.034 | ||
| 133 | 41 & 46 & 58 | 703.759 | 54.135 | 965.414 | 550.376 | 839.098 | |
| 237 | 703.797 | 55.696 | 967.089 | 551.899 | 840.506 | ||
| 104 | 17 & 41 & 46 | 703.846 | 57.692 | 969.231 | 553.846 | 842.308 | |
| 283 | 703.887 | 55.124 | 966.784 | 551.237 | 839.576 | ||
| 254 | 703.937 | 56.693 | 968.504 | 552.756 | 840.945 | ||
| 150 | 704.000 | 56.000 | 968.000 | 552.000 | 840.000 | ||
| 271 | 704.059 | 57.565 | 969.742 | 553.506 | 841.328 | ||
| 196 | 704.082 | 55.102 | 967.347 | 551.020 | 838.776 | ||
| 121 | 17 & 41 & 46 | 704.132 | 59.504 | 971.901 | 555.372 | 842.975 | |
| 167 | 17 & 41 & 46 | 704.192 | 57.485 | 970.060 | 553.293 | 840.719 | |
| 213 | 704.225 | 56.338 | 969.014 | 552.113 | 839.437 | ||
| 259 | 704.247 | 55.598 | 968.340 | 551.351 | 838.610 | ||
| 46 | 41 & 46 & 58 | 17 & 41 & 46 | 704.348 | 52.174 | 965.217 | 547.826 | 834.783 |
| 230 | 17 & 41 & 46 | 704.348 | 57.391 | 970.435 | 553.043 | 840.000 | |
| 184 | 17 & 41 & 46 | 704.348 | 58.696 | 971.739 | 554.348 | 841.304 | |
| 109 | 17 & 41 & 46 | 704.587 | 55.046 | 968.807 | 550.459 | 836.697 | |
| 172 | 17 & 41 & 46 | 704.651 | 55.814 | 969.767 | 551.163 | 837.209 | |
| 63 | 63 & 80 | 17 & 41 & 46 | 704.762 | 57.143 | 971.429 | 552.381 | 838.095 |
| 80 | 63 & 80 | 17 & 41 & 46 | 705.000 | 60.000 | 975.000 | 555.000 | 840.000 |
| 17 | 17 & 41 & 46 | 705.882 | 70.588 | 988.235 | 564.706 | 847.059 | |
| 22 | 17 & 41 & 46 | 709.091 | 54.545 | 981.818 | 545.455 | 818.182 |
