Table of zeta-stretched edos: Difference between revisions
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mNo edit summary |
Corrected my maths mistakes, and chose a single zeta tuning for those edos where I previously listed two (I was originally indecisive over whether to prioritise peak height or closeness to the edo, but after looking at the Tenney and Weil tunings for the edos I decided to prioritise peak height because that lines up better) |
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| Line 16: | Line 16: | ||
!No. of steps per 1200 cents | !No. of steps per 1200 cents | ||
!Step size (cents) | !Step size (cents) | ||
! | !Tuning of 2/1 (cents) | ||
!Gram point index | !Gram point index | ||
|- | |- | ||
| Line 23: | Line 22: | ||
|1edo | |1edo | ||
|1.127 | |1.127 | ||
| | |1065.177 | ||
| | |1065.177 | ||
| -1 | | -1 | ||
|- | |- | ||
|[[2zpi]] | |[[2zpi]] | ||
|2edo | |2edo | ||
|1. | |1.973 | ||
|608. | |608.283 | ||
| | |1216.565 | ||
|0 | |0 | ||
|- | |- | ||
|[[4zpi]] | |[[4zpi]] | ||
|3edo | |3edo | ||
|3. | |3.060 | ||
|392. | |392.187 | ||
|1176. | |1176.562 | ||
|2 | |2 | ||
|- | |- | ||
| Line 47: | Line 43: | ||
|4edo | |4edo | ||
|3.904 | |3.904 | ||
|307. | |307.342 | ||
|1229. | |1229.367 | ||
|4 | |4 | ||
|- | |- | ||
| Line 55: | Line 50: | ||
|5edo | |5edo | ||
|5.034 | |5.034 | ||
|238. | |238.357 | ||
|1191. | |1191.783 | ||
|7 | |7 | ||
|- | |- | ||
| Line 63: | Line 57: | ||
|6edo | |6edo | ||
|6.035 | |6.035 | ||
|198. | |198.843 | ||
|1193. | |1193.056 | ||
|10 | |10 | ||
|- | |- | ||
| Line 71: | Line 64: | ||
|7edo | |7edo | ||
|6.957 | |6.957 | ||
|172. | |172.496 | ||
|1207. | |1207.471 | ||
|13 | |13 | ||
|- | |- | ||
| Line 79: | Line 71: | ||
|8edo | |8edo | ||
|8.137 | |8.137 | ||
|147. | |147.467 | ||
|1179. | |1179.734 | ||
|17 | |17 | ||
|- | |- | ||
|[[22zpi]] | |[[22zpi]] | ||
|9edo | |9edo | ||
|8. | |8.950 | ||
|134.078 | |134.078 | ||
|1206. | |1206.705 | ||
|20 | |20 | ||
|- | |- | ||
| Line 95: | Line 85: | ||
|10edo | |10edo | ||
|10.008 | |10.008 | ||
|119. | |119.899 | ||
| | |1198.986 | ||
|24 | |24 | ||
|- | |- | ||
| Line 103: | Line 92: | ||
|11edo | |11edo | ||
|11.037 | |11.037 | ||
|108. | |108.722 | ||
|1195. | |1195.938 | ||
|28 | |28 | ||
|- | |- | ||
| Line 111: | Line 99: | ||
|12edo | |12edo | ||
|12.023 | |12.023 | ||
|99. | |99.807 | ||
|1197. | |1197.686 | ||
|32 | |32 | ||
|- | |- | ||
| Line 119: | Line 106: | ||
|13edo | |13edo | ||
|12.969 | |12.969 | ||
|92. | |92.531 | ||
|1202. | |1202.900 | ||
|36 | |36 | ||
|- | |- | ||
|[[42zpi]] | |[[42zpi]] | ||
|14edo | |14edo | ||
|13. | |13.900 | ||
|86. | |86.329 | ||
|1208. | |1208.611 | ||
|40 | |40 | ||
|- | |- | ||
| Line 135: | Line 120: | ||
|15edo | |15edo | ||
|15.053 | |15.053 | ||
|79. | |79.716 | ||
|1195. | |1195.736 | ||
|45 | |45 | ||
|- | |- | ||
|[[51zpi]] | |[[51zpi]] | ||
|16edo | |16edo | ||
|15. | |15.944 | ||
|75. | |75.262 | ||
|1204. | |1204.187 | ||
|49 | |49 | ||
|- | |- | ||
| Line 151: | Line 134: | ||
|17edo | |17edo | ||
|17.045 | |17.045 | ||
|70. | |70.404 | ||
|1196. | |1196.861 | ||
|54 | |54 | ||
|- | |- | ||
| Line 159: | Line 141: | ||
|18edo | |18edo | ||
|18.119 | |18.119 | ||
|66. | |66.228 | ||
|1192. | |1192.113 | ||
|59 | |59 | ||
|- | |- | ||
| Line 168: | Line 149: | ||
|18.948 | |18.948 | ||
|63.331 | |63.331 | ||
|1203. | |1203.288 | ||
|63 | |63 | ||
|- | |- | ||
| Line 176: | Line 156: | ||
|19.982 | |19.982 | ||
|60.054 | |60.054 | ||
|1201. | |1201.087 | ||
|68 | |68 | ||
|- | |- | ||
| Line 184: | Line 163: | ||
|21.028 | |21.028 | ||
|57.067 | |57.067 | ||
|1198. | |1198.406 | ||
|73 | |73 | ||
|- | |- | ||
| Line 191: | Line 169: | ||
|22edo | |22edo | ||
|22.025 | |22.025 | ||
|54. | |54.483 | ||
|1198. | |1198.630 | ||
|78 | |78 | ||
|- | |- | ||
|[[84zpi]] | |[[84zpi]] | ||
|23edo | |23edo | ||
|22.807 | |22.807 | ||
|52.615 | |52.615 | ||
|1210.148 | |1210.148 | ||
|82 | |82 | ||
|- | |- | ||
|[[90zpi]] | |[[90zpi]] | ||
| Line 216: | Line 184: | ||
|24.006 | |24.006 | ||
|49.988 | |49.988 | ||
|1199. | |1199.713 | ||
|88 | |88 | ||
|- | |- | ||
| Line 224: | Line 191: | ||
|24.965 | |24.965 | ||
|48.067 | |48.067 | ||
|1201. | |1201.678 | ||
|93 | |93 | ||
|- | |- | ||
| Line 232: | Line 198: | ||
|25.936 | |25.936 | ||
|46.268 | |46.268 | ||
|1202. | |1202.975 | ||
|98 | |98 | ||
|- | |- | ||
| Line 240: | Line 205: | ||
|27.087 | |27.087 | ||
|44.302 | |44.302 | ||
|1196. | |1196.163 | ||
|104 | |104 | ||
|- | |- | ||
| Line 248: | Line 212: | ||
|28.032 | |28.032 | ||
|42.808 | |42.808 | ||
|1198. | |1198.629 | ||
|109 | |109 | ||
|- | |- | ||
|[[116zpi]] | |[[116zpi]] | ||
|29edo | |29edo | ||
|28. | |28.940 | ||
|41.465 | |41.465 | ||
|1202. | |1202.489 | ||
|114 | |114 | ||
|- | |- | ||
|[[122zpi]] | |[[122zpi]] | ||
|30edo | |30edo | ||
|30. | |30.061 | ||
|39.918 | |39.918 | ||
|1197. | |1197.555 | ||
|120 | |120 | ||
|- | |- | ||
| Line 272: | Line 233: | ||
|30.978 | |30.978 | ||
|38.737 | |38.737 | ||
|1200. | |1200.837 | ||
|125 | |125 | ||
|- | |- | ||
|[[133zpi]] | |[[133zpi]] | ||
|32edo | |32edo | ||
|32. | |32.070 | ||
|37.418 | |37.418 | ||
|1197. | |1197.375 | ||
|131 | |131 | ||
|- | |- | ||
| Line 287: | Line 246: | ||
|33edo | |33edo | ||
|32.972 | |32.972 | ||
|36. | |36.394 | ||
|1201. | |1201.009 | ||
|136 | |136 | ||
|- | |- | ||
| Line 295: | Line 253: | ||
|34edo | |34edo | ||
|34.045 | |34.045 | ||
|35. | |35.248 | ||
|1198. | |1198.419 | ||
|142 | |142 | ||
|- | |- | ||
|[[149zpi]] | |[[149zpi]] | ||
|35edo | |35edo | ||
|34. | |34.925 | ||
|34. | |34.359 | ||
|1202. | |1202.564 | ||
|147 | |147 | ||
|- | |- | ||
| Line 312: | Line 268: | ||
|35.982 | |35.982 | ||
|33.350 | |33.350 | ||
|1200. | |1200.587 | ||
|153 | |153 | ||
|- | |- | ||
|[[161zpi]] | |[[161zpi]] | ||
|37edo | |37edo | ||
|37. | |37.028 | ||
|32. | |32.408 | ||
|1199. | |1199.108 | ||
|159 | |159 | ||
|- | |- | ||
|[[166zpi]] | |[[166zpi]] | ||
|38edo | |38edo | ||
|37. | |37.890 | ||
|31.671 | |31.671 | ||
|1203. | |1203.480 | ||
|164 | |164 | ||
|- | |- | ||
|[[173zpi]] | |[[173zpi]] | ||
|39edo | |39edo | ||
|39.124 | |39.124 | ||
|30.672 | |30.672 | ||
|1196. | |1196.204 | ||
|171 | |171 | ||
|- | |- | ||
| Line 360: | Line 296: | ||
|39.968 | |39.968 | ||
|30.024 | |30.024 | ||
|1200. | |1200.965 | ||
|176 | |176 | ||
|- | |- | ||
| Line 368: | Line 303: | ||
|40.988 | |40.988 | ||
|29.277 | |29.277 | ||
|1200. | |1200.349 | ||
|182 | |182 | ||
|- | |- | ||
| Line 376: | Line 310: | ||
|41.999 | |41.999 | ||
|28.572 | |28.572 | ||
|1200. | |1200.032 | ||
|188 | |188 | ||
|- | |- | ||
|[[196zpi]] | |[[196zpi]] | ||
|43edo | |43edo | ||
|43. | |43.026 | ||
|27. | |27.890 | ||
|1199. | |1199.261 | ||
|194 | |194 | ||
|- | |- | ||
| Line 392: | Line 324: | ||
|44.015 | |44.015 | ||
|27.263 | |27.263 | ||
|1199. | |1199.579 | ||
|200 | |200 | ||
|- | |- | ||
|[[207zpi]] | |[[207zpi]] | ||
|45edo | |45edo | ||
|44. | |44.840 | ||
|26.762 | |26.762 | ||
|1204. | |1204.289 | ||
|205 | |205 | ||
|- | |- | ||
|[[214zpi]] | |[[214zpi]] | ||
| Line 416: | Line 338: | ||
|46.009 | |46.009 | ||
|26.082 | |26.082 | ||
|1199. | |1199.766 | ||
|212 | |212 | ||
|- | |- | ||
| Line 424: | Line 345: | ||
|47.006 | |47.006 | ||
|25.529 | |25.529 | ||
|1199. | |1199.846 | ||
|218 | |218 | ||
|- | |- | ||
| Line 432: | Line 352: | ||
|47.988 | |47.988 | ||
|25.006 | |25.006 | ||
|1200. | |1200.292 | ||
|224 | |224 | ||
|- | |- | ||
|[[233zpi]] | |[[233zpi]] | ||
|49edo | |49edo | ||
|49.141 | |49.141 | ||
|24. | |24.419 | ||
|1196. | |1196.552 | ||
|231 | |231 | ||
|- | |- | ||
| Line 455: | Line 365: | ||
|50edo | |50edo | ||
|49.939 | |49.939 | ||
|24. | |24.030 | ||
|1201. | |1201.477 | ||
|236 | |236 | ||
|- | |- | ||
|[[245zpi]] | |[[245zpi]] | ||
|51edo | |51edo | ||
|51. | |51.080 | ||
|23.493 | |23.493 | ||
|1198. | |1198.128 | ||
|243 | |243 | ||
|- | |- | ||
| Line 472: | Line 380: | ||
|52.043 | |52.043 | ||
|23.058 | |23.058 | ||
|1199. | |1199.018 | ||
|249 | |249 | ||
|- | |- | ||
| Line 480: | Line 387: | ||
|52.997 | |52.997 | ||
|22.643 | |22.643 | ||
|1200. | |1200.072 | ||
|255 | |255 | ||
|- | |- | ||
|[[264zpi]] | |[[264zpi]] | ||
|54edo | |54edo | ||
|54.116 | |54.116 | ||
|22.175 | |22.175 | ||
|1197. | |1197.430 | ||
|262 | |262 | ||
|- | |- | ||
| Line 504: | Line 401: | ||
|54.894 | |54.894 | ||
|21.860 | |21.860 | ||
|1202. | |1202.325 | ||
|267 | |267 | ||
|- | |- | ||
| Line 511: | Line 407: | ||
|56edo | |56edo | ||
|56.008 | |56.008 | ||
|21. | |21.425 | ||
|1199. | |1199.821 | ||
|274 | |274 | ||
|- | |- | ||
| Line 520: | Line 415: | ||
|56.968 | |56.968 | ||
|21.064 | |21.064 | ||
|1200. | |1200.668 | ||
|280 | |280 | ||
|- | |- | ||
| Line 528: | Line 422: | ||
|58.067 | |58.067 | ||
|20.666 | |20.666 | ||
|1198. | |1198.621 | ||
|287 | |287 | ||
|- | |- | ||
| Line 536: | Line 429: | ||
|58.992 | |58.992 | ||
|20.342 | |20.342 | ||
|1200. | |1200.157 | ||
|293 | |293 | ||
|- | |- | ||
|[[301zpi]] | |[[301zpi]] | ||
|60edo | |60edo | ||
|59. | |59.920 | ||
|20.027 | |20.027 | ||
|1201. | |1201.599 | ||
|299 | |299 | ||
|- | |- | ||
| Line 552: | Line 443: | ||
|61.003 | |61.003 | ||
|19.671 | |19.671 | ||
|1199. | |1199.937 | ||
|306 | |306 | ||
|- | |- | ||
| Line 560: | Line 450: | ||
|61.938 | |61.938 | ||
|19.374 | |19.374 | ||
|1201. | |1201.200 | ||
|312 | |312 | ||
|- | |- | ||
| Line 568: | Line 457: | ||
|63.019 | |63.019 | ||
|19.042 | |19.042 | ||
|1199. | |1199.633 | ||
|319 | |319 | ||
|- | |- | ||
| Line 576: | Line 464: | ||
|64.099 | |64.099 | ||
|18.721 | |18.721 | ||
|1198. | |1198.140 | ||
|326 | |326 | ||
|- | |- | ||
| Line 584: | Line 471: | ||
|65.016 | |65.016 | ||
|18.457 | |18.457 | ||
|1199. | |1199.708 | ||
|332 | |332 | ||
|- | |- | ||
| Line 592: | Line 478: | ||
|65.916 | |65.916 | ||
|18.205 | |18.205 | ||
|1201. | |1201.533 | ||
|338 | |338 | ||
|- | |- | ||
| Line 600: | Line 485: | ||
|66.998 | |66.998 | ||
|17.911 | |17.911 | ||
|1200. | |1200.029 | ||
|345 | |345 | ||
|- | |- | ||
| Line 608: | Line 492: | ||
|68.049 | |68.049 | ||
|17.634 | |17.634 | ||
|1199. | |1199.131 | ||
|352 | |352 | ||
|- | |- | ||
|[[360zpi]] | |[[360zpi]] | ||
|69edo | |69edo | ||
|68. | |68.960 | ||
|17.401 | |17.401 | ||
|1200.696 | |1200.696 | ||
|358 | |358 | ||
|- | |- | ||
| Line 625: | Line 507: | ||
|17.142 | |17.142 | ||
|1199.931 | |1199.931 | ||
|365 | |365 | ||
|- | |- | ||
| Line 632: | Line 513: | ||
|71.059 | |71.059 | ||
|16.887 | |16.887 | ||
| | |1198.998 | ||
|372 | |372 | ||
|- | |- | ||
| Line 640: | Line 520: | ||
|71.951 | |71.951 | ||
|16.678 | |16.678 | ||
|1200. | |1200.824 | ||
|378 | |378 | ||
|- | |- | ||
|[[387zpi]] | |[[387zpi]] | ||
|73edo | |73edo | ||
|72. | |72.983 | ||
|16.442 | |16.442 | ||
|1200. | |1200.273 | ||
|385 | |385 | ||
|- | |- | ||
| Line 656: | Line 534: | ||
|74.052 | |74.052 | ||
|16.205 | |16.205 | ||
|1199. | |1199.155 | ||
|392 | |392 | ||
|- | |- | ||
| Line 664: | Line 541: | ||
|75.091 | |75.091 | ||
|15.981 | |15.981 | ||
|1198. | |1198.544 | ||
|399 | |399 | ||
|- | |- | ||
| Line 672: | Line 548: | ||
|75.968 | |75.968 | ||
|15.796 | |15.796 | ||
|1200. | |1200.503 | ||
|405 | |405 | ||
|- | |- | ||
| Line 680: | Line 555: | ||
|76.992 | |76.992 | ||
|15.586 | |15.586 | ||
|1200. | |1200.127 | ||
|412 | |412 | ||
|- | |- | ||
|[[420zpi]] | |[[420zpi]] | ||
|78edo | |78edo | ||
| | |77.851 | ||
|15. | |15.414 | ||
| | |1202.292 | ||
|418 | |418 | ||
|- | |- | ||
| Line 696: | Line 569: | ||
|78.892 | |78.892 | ||
|15.211 | |15.211 | ||
|1201. | |1201.637 | ||
|425 | |425 | ||
|- | |- | ||
| Line 704: | Line 576: | ||
|80.073 | |80.073 | ||
|14.986 | |14.986 | ||
|1198. | |1198.904 | ||
|433 | |433 | ||
|- | |- | ||
|[[441zpi]] | |[[441zpi]] | ||
|81edo | |81edo | ||
|80. | |80.948 | ||
|14. | |14.824 | ||
|1200. | |1200.777 | ||
|439 | |439 | ||
|- | |- | ||
| Line 720: | Line 590: | ||
|81.954 | |81.954 | ||
|14.642 | |14.642 | ||
|1200. | |1200.671 | ||
|446 | |446 | ||
|- | |- | ||
| Line 728: | Line 597: | ||
|82.967 | |82.967 | ||
|14.464 | |14.464 | ||
|1200. | |1200.484 | ||
|453 | |453 | ||
|- | |- | ||
| Line 736: | Line 604: | ||
|83.997 | |83.997 | ||
|14.286 | |14.286 | ||
|1200. | |1200.040 | ||
|460 | |460 | ||
|- | |- | ||
| Line 744: | Line 611: | ||
|84.991 | |84.991 | ||
|14.119 | |14.119 | ||
|1200. | |1200.131 | ||
|467 | |467 | ||
|- | |- | ||
| Line 752: | Line 618: | ||
|86.019 | |86.019 | ||
|13.950 | |13.950 | ||
|1199. | |1199.741 | ||
|474 | |474 | ||
|- | |- | ||
| Line 760: | Line 625: | ||
|87.014 | |87.014 | ||
|13.791 | |13.791 | ||
|1199. | |1199.808 | ||
|481 | |481 | ||
|- | |- | ||
| Line 768: | Line 632: | ||
|88.027 | |88.027 | ||
|13.632 | |13.632 | ||
|1199. | |1199.635 | ||
|488 | |488 | ||
|- | |- | ||
| Line 776: | Line 639: | ||
|89.023 | |89.023 | ||
|13.480 | |13.480 | ||
|1199. | |1199.691 | ||
|495 | |495 | ||
|- | |- | ||
| Line 784: | Line 646: | ||
|90.006 | |90.006 | ||
|13.332 | |13.332 | ||
|1199. | |1199.917 | ||
|502 | |502 | ||
|- | |- | ||
|[[510zpi]] | |[[510zpi]] | ||
|91edo | |91edo | ||
|90.852 | |90.852 | ||
|13.208 | |13.208 | ||
|1201. | |1201.956 | ||
|508 | |508 | ||
|- | |- | ||
|[[518zpi]] | |[[518zpi]] | ||
| Line 808: | Line 660: | ||
|91.993 | |91.993 | ||
|13.044 | |13.044 | ||
|1200. | |1200.089 | ||
|516 | |516 | ||
|- | |- | ||
| Line 816: | Line 667: | ||
|93.002 | |93.002 | ||
|12.903 | |12.903 | ||
|1199. | |1199.969 | ||
|523 | |523 | ||
|- | |- | ||
| Line 824: | Line 674: | ||
|93.984 | |93.984 | ||
|12.768 | |12.768 | ||
|1200. | |1200.208 | ||
|530 | |530 | ||
|- | |- | ||
|[[540zpi]] | |[[540zpi]] | ||
|95edo | |95edo | ||
|95.117 | |95.117 | ||
|12.616 | |12.616 | ||
|1198. | |1198.526 | ||
|538 | |538 | ||
|- | |- | ||
| Line 848: | Line 688: | ||
|95.954 | |95.954 | ||
|12.506 | |12.506 | ||
|1200. | |1200.570 | ||
|544 | |544 | ||
|- | |- | ||
| Line 856: | Line 695: | ||
|96.925 | |96.925 | ||
|12.381 | |12.381 | ||
|1200. | |1200.927 | ||
|551 | |551 | ||
|- | |- | ||
| Line 863: | Line 701: | ||
|98edo | |98edo | ||
|97.923 | |97.923 | ||
|12. | |12.254 | ||
|1200. | |1200.941 | ||
|558 | |558 | ||
|- | |- | ||
| Line 872: | Line 709: | ||
|99.047 | |99.047 | ||
|12.115 | |12.115 | ||
|1199. | |1199.427 | ||
|566 | |566 | ||
|- | |- | ||
|[[575zpi]] | |[[575zpi]] | ||
|100edo | |100edo | ||
| | |99.869 | ||
| | |12.016 | ||
| | |1201.577 | ||
|573 | |573 | ||
|- | |- | ||
| Line 889: | Line 724: | ||
|4.444 | |4.444 | ||
|1199.920 | |1199.920 | ||
|1934 | |1934 | ||
|- | |- | ||
| Line 897: | Line 731: | ||
|3.858 | |3.858 | ||
|1199.985 | |1199.985 | ||
|2291 | |2291 | ||
|- | |- | ||
| Line 905: | Line 738: | ||
|3.509 | |3.509 | ||
|1200.088 | |1200.088 | ||
|2566 | |2566 | ||
|- | |- | ||
| Line 913: | Line 745: | ||
|2.429 | |2.429 | ||
|1199.966 | |1199.966 | ||
|3969 | |3969 | ||
|- | |- | ||
| Line 921: | Line 752: | ||
|1.755 | |1.755 | ||
|1200.107 | |1200.107 | ||
|5816 | |5816 | ||
|} | |} | ||
Revision as of 08:28, 30 March 2024
This table lists tuning instructions for equal divisions of the octave which have been stretched or compressed using optimal octave stretch based on zeta peaks, as described here: the Riemann zeta function and tuning.
All of the tunings listed on this page are zeta peak index tunings, e.g. 1zpi, 2zpi, 3zpi... However, not all zeta peak index tunings are listed here - only those with intervals close to the octave. For a more complete table see: zeta peak index.
Calculation instructions
How to calculate the third column using the free version of Wolfram Cloud:
- Copy-paste Plot[Abs[RiemannSiegelZ[9.06472028x]], {x, 11.9,12.1}] into a cell.
- Change "11.9" and "12.1" to whatever values you want, e.g. to view the curve around 15edo you might use the values "14.9" and "15.1".
- Ensure that cell is still selected
- In the menu select Evaluation > Evaluate Cells
Table
| Tuning | Associated edo | No. of steps per 1200 cents | Step size (cents) | Tuning of 2/1 (cents) | Gram point index |
|---|---|---|---|---|---|
| 1zpi | 1edo | 1.127 | 1065.177 | 1065.177 | -1 |
| 2zpi | 2edo | 1.973 | 608.283 | 1216.565 | 0 |
| 4zpi | 3edo | 3.060 | 392.187 | 1176.562 | 2 |
| 6zpi | 4edo | 3.904 | 307.342 | 1229.367 | 4 |
| 9zpi | 5edo | 5.034 | 238.357 | 1191.783 | 7 |
| 12zpi | 6edo | 6.035 | 198.843 | 1193.056 | 10 |
| 15zpi | 7edo | 6.957 | 172.496 | 1207.471 | 13 |
| 19zpi | 8edo | 8.137 | 147.467 | 1179.734 | 17 |
| 22zpi | 9edo | 8.950 | 134.078 | 1206.705 | 20 |
| 26zpi | 10edo | 10.008 | 119.899 | 1198.986 | 24 |
| 30zpi | 11edo | 11.037 | 108.722 | 1195.938 | 28 |
| 34zpi | 12edo | 12.023 | 99.807 | 1197.686 | 32 |
| 38zpi | 13edo | 12.969 | 92.531 | 1202.900 | 36 |
| 42zpi | 14edo | 13.900 | 86.329 | 1208.611 | 40 |
| 47zpi | 15edo | 15.053 | 79.716 | 1195.736 | 45 |
| 51zpi | 16edo | 15.944 | 75.262 | 1204.187 | 49 |
| 56zpi | 17edo | 17.045 | 70.404 | 1196.861 | 54 |
| 61zpi | 18edo | 18.119 | 66.228 | 1192.113 | 59 |
| 65zpi | 19edo | 18.948 | 63.331 | 1203.288 | 63 |
| 70zpi | 20edo | 19.982 | 60.054 | 1201.087 | 68 |
| 75zpi | 21edo | 21.028 | 57.067 | 1198.406 | 73 |
| 80zpi | 22edo | 22.025 | 54.483 | 1198.630 | 78 |
| 84zpi | 23edo | 22.807 | 52.615 | 1210.148 | 82 |
| 90zpi | 24edo | 24.006 | 49.988 | 1199.713 | 88 |
| 95zpi | 25edo | 24.965 | 48.067 | 1201.678 | 93 |
| 100zpi | 26edo | 25.936 | 46.268 | 1202.975 | 98 |
| 106zpi | 27edo | 27.087 | 44.302 | 1196.163 | 104 |
| 111zpi | 28edo | 28.032 | 42.808 | 1198.629 | 109 |
| 116zpi | 29edo | 28.940 | 41.465 | 1202.489 | 114 |
| 122zpi | 30edo | 30.061 | 39.918 | 1197.555 | 120 |
| 127zpi | 31edo | 30.978 | 38.737 | 1200.837 | 125 |
| 133zpi | 32edo | 32.070 | 37.418 | 1197.375 | 131 |
| 138zpi | 33edo | 32.972 | 36.394 | 1201.009 | 136 |
| 144zpi | 34edo | 34.045 | 35.248 | 1198.419 | 142 |
| 149zpi | 35edo | 34.925 | 34.359 | 1202.564 | 147 |
| 155zpi | 36edo | 35.982 | 33.350 | 1200.587 | 153 |
| 161zpi | 37edo | 37.028 | 32.408 | 1199.108 | 159 |
| 166zpi | 38edo | 37.890 | 31.671 | 1203.480 | 164 |
| 173zpi | 39edo | 39.124 | 30.672 | 1196.204 | 171 |
| 178zpi | 40edo | 39.968 | 30.024 | 1200.965 | 176 |
| 184zpi | 41edo | 40.988 | 29.277 | 1200.349 | 182 |
| 190zpi | 42edo | 41.999 | 28.572 | 1200.032 | 188 |
| 196zpi | 43edo | 43.026 | 27.890 | 1199.261 | 194 |
| 202zpi | 44edo | 44.015 | 27.263 | 1199.579 | 200 |
| 207zpi | 45edo | 44.840 | 26.762 | 1204.289 | 205 |
| 214zpi | 46edo | 46.009 | 26.082 | 1199.766 | 212 |
| 220zpi | 47edo | 47.006 | 25.529 | 1199.846 | 218 |
| 226zpi | 48edo | 47.988 | 25.006 | 1200.292 | 224 |
| 233zpi | 49edo | 49.141 | 24.419 | 1196.552 | 231 |
| 238zpi | 50edo | 49.939 | 24.030 | 1201.477 | 236 |
| 245zpi | 51edo | 51.080 | 23.493 | 1198.128 | 243 |
| 251zpi | 52edo | 52.043 | 23.058 | 1199.018 | 249 |
| 257zpi | 53edo | 52.997 | 22.643 | 1200.072 | 255 |
| 264zpi | 54edo | 54.116 | 22.175 | 1197.430 | 262 |
| 269zpi | 55edo | 54.894 | 21.860 | 1202.325 | 267 |
| 276zpi | 56edo | 56.008 | 21.425 | 1199.821 | 274 |
| 282zpi | 57edo | 56.968 | 21.064 | 1200.668 | 280 |
| 289zpi | 58edo | 58.067 | 20.666 | 1198.621 | 287 |
| 295zpi | 59edo | 58.992 | 20.342 | 1200.157 | 293 |
| 301zpi | 60edo | 59.920 | 20.027 | 1201.599 | 299 |
| 308zpi | 61edo | 61.003 | 19.671 | 1199.937 | 306 |
| 314zpi | 62edo | 61.938 | 19.374 | 1201.200 | 312 |
| 321zpi | 63edo | 63.019 | 19.042 | 1199.633 | 319 |
| 328zpi | 64edo | 64.099 | 18.721 | 1198.140 | 326 |
| 334zpi | 65edo | 65.016 | 18.457 | 1199.708 | 332 |
| 340zpi | 66edo | 65.916 | 18.205 | 1201.533 | 338 |
| 347zpi | 67edo | 66.998 | 17.911 | 1200.029 | 345 |
| 354zpi | 68edo | 68.049 | 17.634 | 1199.131 | 352 |
| 360zpi | 69edo | 68.960 | 17.401 | 1200.696 | 358 |
| 367zpi | 70edo | 70.004 | 17.142 | 1199.931 | 365 |
| 374zpi | 71edo | 71.059 | 16.887 | 1198.998 | 372 |
| 380zpi | 72edo | 71.951 | 16.678 | 1200.824 | 378 |
| 387zpi | 73edo | 72.983 | 16.442 | 1200.273 | 385 |
| 394zpi | 74edo | 74.052 | 16.205 | 1199.155 | 392 |
| 401zpi | 75edo | 75.091 | 15.981 | 1198.544 | 399 |
| 407zpi | 76edo | 75.968 | 15.796 | 1200.503 | 405 |
| 414zpi | 77edo | 76.992 | 15.586 | 1200.127 | 412 |
| 420zpi | 78edo | 77.851 | 15.414 | 1202.292 | 418 |
| 427zpi | 79edo | 78.892 | 15.211 | 1201.637 | 425 |
| 435zpi | 80edo | 80.073 | 14.986 | 1198.904 | 433 |
| 441zpi | 81edo | 80.948 | 14.824 | 1200.777 | 439 |
| 448zpi | 82edo | 81.954 | 14.642 | 1200.671 | 446 |
| 455zpi | 83edo | 82.967 | 14.464 | 1200.484 | 453 |
| 462zpi | 84edo | 83.997 | 14.286 | 1200.040 | 460 |
| 469zpi | 85edo | 84.991 | 14.119 | 1200.131 | 467 |
| 476zpi | 86edo | 86.019 | 13.950 | 1199.741 | 474 |
| 483zpi | 87edo | 87.014 | 13.791 | 1199.808 | 481 |
| 490zpi | 88edo | 88.027 | 13.632 | 1199.635 | 488 |
| 497zpi | 89edo | 89.023 | 13.480 | 1199.691 | 495 |
| 504zpi | 90edo | 90.006 | 13.332 | 1199.917 | 502 |
| 510zpi | 91edo | 90.852 | 13.208 | 1201.956 | 508 |
| 518zpi | 92edo | 91.993 | 13.044 | 1200.089 | 516 |
| 525zpi | 93edo | 93.002 | 12.903 | 1199.969 | 523 |
| 532zpi | 94edo | 93.984 | 12.768 | 1200.208 | 530 |
| 540zpi | 95edo | 95.117 | 12.616 | 1198.526 | 538 |
| 546zpi | 96edo | 95.954 | 12.506 | 1200.570 | 544 |
| 553zpi | 97edo | 96.925 | 12.381 | 1200.927 | 551 |
| 560zpi | 98edo | 97.923 | 12.254 | 1200.941 | 558 |
| 568zpi | 99edo | 99.047 | 12.115 | 1199.427 | 566 |
| 575zpi | 100edo | 99.869 | 12.016 | 1201.577 | 573 |
| 1936zpi | 270edo | 270.018 | 4.444 | 1199.920 | 1934 |
| 2293zpi | 311edo | 311.004 | 3.858 | 1199.985 | 2291 |
| 2568zpi | 342edo | 341.975 | 3.509 | 1200.088 | 2566 |
| 3971zpi | 494edo | 494.014 | 2.429 | 1199.966 | 3969 |
| 5818zpi | 684edo | 683.939 | 1.755 | 1200.107 | 5816 |