Table of zeta-stretched edos: Difference between revisions
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Added data to some blank cells in some rows |
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'''Explanation of what | '''Explanation of what a 'zeta stretched edo' is''': [[The Riemann Zeta Function and Tuning#Optimal Octave Stretch]]. | ||
'''Instructions on how to calculate the second column using the free version of Wolfram Cloud''': | '''Instructions on how to calculate the second column using the free version of Wolfram Cloud''': | ||
| Line 9: | Line 9: | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
!Edo | !Edo | ||
!No. of steps per 1200 | !No. of steps per 1200 cents | ||
!Step size (cents) | !Step size (cents) | ||
! | !Octave size (cents) | ||
!Zeta peak height | !Zeta peak height | ||
! | !Zeta peak index | ||
!Gram point index | !Gram point index | ||
|- | |- | ||
| | |1edo | ||
| | |1.127 | ||
| | |1064.774 | ||
| | |1064.774 | ||
| | |1.6 | ||
|1 | |1 | ||
| -1 | | -1 | ||
|- | |- | ||
| | |2edo | ||
| | |1.972 | ||
| | |608.519 | ||
| | |1217.039 | ||
| | |2.3 | ||
|2 | |2 | ||
|0 | |0 | ||
|- | |- | ||
| | |3edo | ||
| | |3.06 | ||
| | |392.157 | ||
| | |1176.471 | ||
| | |2.8 | ||
|4 | |4 | ||
|2 | |2 | ||
|- | |- | ||
| | |4edo | ||
| | |3.904 | ||
| | |307.377 | ||
| | |1229.508 | ||
| | |3.0 | ||
|6 | |6 | ||
|4 | |4 | ||
|- | |- | ||
| | |5edo | ||
| | |5.034 | ||
| | |238.379 | ||
| | |1191.895 | ||
| | |3.7 | ||
|9 | |9 | ||
|7 | |7 | ||
|- | |- | ||
| | |6edo | ||
|6.035 | |6.035 | ||
|198.840 | |198.840 | ||
| Line 64: | Line 64: | ||
|10 | |10 | ||
|- | |- | ||
| | |7edo | ||
| | |6.957 | ||
| | |172.488 | ||
| | |1207.417 | ||
| | |4.2 | ||
|15 | |15 | ||
|13 | |13 | ||
|- | |- | ||
| | |8edo | ||
|8.137 | |8.137 | ||
|147.474 | |147.474 | ||
| Line 80: | Line 80: | ||
|17 | |17 | ||
|- | |- | ||
| | |9edo | ||
|8.95 | |8.95 | ||
|134.078 | |134.078 | ||
| Line 88: | Line 88: | ||
|20 | |20 | ||
|- | |- | ||
| | |10edo | ||
| | |10.008 | ||
| | |119.904 | ||
| | |1199.041 | ||
| | |4.5 | ||
|26 | |26 | ||
|24 | |24 | ||
|- | |- | ||
| | |11edo | ||
|11.037 | |11.037 | ||
|108.725 | |108.725 | ||
| Line 104: | Line 104: | ||
|28 | |28 | ||
|- | |- | ||
| | |12edo | ||
| | |12.023 | ||
| | |99.809 | ||
| | |1197.704 | ||
| | |5.2 | ||
|34 | |34 | ||
|32 | |32 | ||
|- | |- | ||
| | |13edo | ||
|12.969 | |12.969 | ||
|92.528 | |92.528 | ||
| Line 120: | Line 120: | ||
|36 | |36 | ||
|- | |- | ||
| | |14edo | ||
|13.9 | |13.9 | ||
|86.331 | |86.331 | ||
| Line 128: | Line 128: | ||
|40 | |40 | ||
|- | |- | ||
| | |15edo | ||
|15.053 | |15.053 | ||
|79.718 | |79.718 | ||
| Line 136: | Line 136: | ||
|45 | |45 | ||
|- | |- | ||
| | |16edo | ||
|15.945 | |15.945 | ||
|75.259 | |75.259 | ||
| Line 144: | Line 144: | ||
|49 | |49 | ||
|- | |- | ||
| | |17edo | ||
|17.045 | |17.045 | ||
|70.402 | |70.402 | ||
| Line 152: | Line 152: | ||
|54 | |54 | ||
|- | |- | ||
| | |18edo | ||
|18.119 | |18.119 | ||
|66.229 | |66.229 | ||
| Line 160: | Line 160: | ||
|59 | |59 | ||
|- | |- | ||
| | |19edo | ||
| | |18.948 | ||
| | |63.331 | ||
| | |1203.293 | ||
| | |6.0 | ||
|65 | |65 | ||
|63 | |63 | ||
|- | |- | ||
| | |20edo | ||
|19.982 | |19.982 | ||
|60.054 | |60.054 | ||
| Line 176: | Line 176: | ||
| | | | ||
|- | |- | ||
| | |21edo | ||
|21.028 | |21.028 | ||
|57.067 | |57.067 | ||
| Line 184: | Line 184: | ||
| | | | ||
|- | |- | ||
| | |22edo | ||
| | |22.025 | ||
| | |54.484 | ||
| | |1198.638 | ||
| | |6.1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| | |23edo (1st peak) | ||
|22.807 | |22.807 | ||
|52.615 | |52.615 | ||
| Line 200: | Line 200: | ||
| | | | ||
|- | |- | ||
| | |23edo (2nd peak) | ||
|23.026 | |23.026 | ||
|52.115 | |52.115 | ||
| Line 208: | Line 208: | ||
| | | | ||
|- | |- | ||
| | |24edo | ||
|24.006 | |24.006 | ||
|49.988 | |49.988 | ||
| Line 216: | Line 216: | ||
| | | | ||
|- | |- | ||
| | |25edo | ||
|24.965 | |24.965 | ||
|48.067 | |48.067 | ||
| Line 224: | Line 224: | ||
| | | | ||
|- | |- | ||
| | |26edo | ||
|25.936 | |25.936 | ||
|46.268 | |46.268 | ||
| Line 232: | Line 232: | ||
| | | | ||
|- | |- | ||
| | |27edo | ||
| | |27.087 | ||
| | |44.302 | ||
| | |1196.146 | ||
| | |6.1 | ||
| | | | ||
| | | | ||
|- | |- | ||
| | |28edo | ||
|28.032 | |28.032 | ||
|42.808 | |42.808 | ||
| Line 248: | Line 248: | ||
| | | | ||
|- | |- | ||
| | |29edo | ||
|28.94 | |28.94 | ||
|41.465 | |41.465 | ||
| Line 256: | Line 256: | ||
| | | | ||
|- | |- | ||
| | |30edo | ||
|30.062 | |30.062 | ||
|39.918 | |39.918 | ||
| Line 264: | Line 264: | ||
| | | | ||
|- | |- | ||
| | |31edo | ||
| | |30.978 | ||
| | |38.737 | ||
| | |1200.852 | ||
| | |7.0 | ||
|127 | |127 | ||
|125 | |125 | ||
|- | |- | ||
| | |32edo | ||
|32.07 | |32.07 | ||
|37.418 | |37.418 | ||
| Line 280: | Line 280: | ||
| | | | ||
|- | |- | ||
| | |33edo | ||
|32.972 | |32.972 | ||
|36.395 | |36.395 | ||
| Line 288: | Line 288: | ||
| | | | ||
|- | |- | ||
| | |34edo | ||
|34.045 | |34.045 | ||
|35.247 | |35.247 | ||
| Line 296: | Line 296: | ||
| | | | ||
|- | |- | ||
| | |35edo | ||
|34.926 | |34.926 | ||
|34.358 | |34.358 | ||
| Line 304: | Line 304: | ||
| | | | ||
|- | |- | ||
| | |36edo | ||
|35.982 | |35.982 | ||
|33.350 | |33.350 | ||
| Line 312: | Line 312: | ||
| | | | ||
|- | |- | ||
| | |37edo | ||
|37.027 | |37.027 | ||
|32.409 | |32.409 | ||
| Line 320: | Line 320: | ||
| | | | ||
|- | |- | ||
| | |38edo (1st peak) | ||
|37.89 | |37.89 | ||
|31.671 | |31.671 | ||
| Line 328: | Line 328: | ||
| | | | ||
|- | |- | ||
| | |38edo (2nd peak) | ||
|38.103 | |38.103 | ||
|31.494 | |31.494 | ||
| Line 336: | Line 336: | ||
| | | | ||
|- | |- | ||
| | |39edo (1st peak) | ||
|38.916 | |38.916 | ||
|30.836 | |30.836 | ||
| Line 344: | Line 344: | ||
| | | | ||
|- | |- | ||
| | |39edo (2nd peak) | ||
|39.124 | |39.124 | ||
|30.672 | |30.672 | ||
| Line 352: | Line 352: | ||
| | | | ||
|- | |- | ||
| | |40edo | ||
|39.968 | |39.968 | ||
|30.024 | |30.024 | ||
| Line 360: | Line 360: | ||
| | | | ||
|- | |- | ||
| | |41edo | ||
| | |40.988 | ||
| | |29.277 | ||
| | |1200.351 | ||
| | |7.6 | ||
|184 | |184 | ||
|182 | |182 | ||
|- | |- | ||
| | |42edo | ||
|41.999 | |41.999 | ||
|28.572 | |28.572 | ||
| Line 376: | Line 376: | ||
| | | | ||
|- | |- | ||
| | |43edo | ||
|43.027 | |43.027 | ||
|27.889 | |27.889 | ||
| Line 384: | Line 384: | ||
| | | | ||
|- | |- | ||
| | |44edo | ||
|44.015 | |44.015 | ||
|27.263 | |27.263 | ||
| Line 392: | Line 392: | ||
| | | | ||
|- | |- | ||
| | |45edo (1st peak) | ||
|44.84 | |44.84 | ||
|26.762 | |26.762 | ||
| Line 400: | Line 400: | ||
| | | | ||
|- | |- | ||
| | |45edo (2nd peak) | ||
|45.035 | |45.035 | ||
|26.646 | |26.646 | ||
| Line 408: | Line 408: | ||
| | | | ||
|- | |- | ||
| | |46edo | ||
|46.009 | |46.009 | ||
|26.082 | |26.082 | ||
| Line 416: | Line 416: | ||
| | | | ||
|- | |- | ||
| | |47edo | ||
|47.006 | |47.006 | ||
|25.529 | |25.529 | ||
| Line 424: | Line 424: | ||
| | | | ||
|- | |- | ||
| | |48edo | ||
|47.988 | |47.988 | ||
|25.006 | |25.006 | ||
| Line 432: | Line 432: | ||
| | | | ||
|- | |- | ||
| | |49edo (1st peak) | ||
|48.945 | |48.945 | ||
|24.517 | |24.517 | ||
| Line 440: | Line 440: | ||
| | | | ||
|- | |- | ||
| | |49edo (2nd peak) | ||
|49.141 | |49.141 | ||
|24.420 | |24.420 | ||
| Line 448: | Line 448: | ||
| | | | ||
|- | |- | ||
| | |50edo | ||
|49.939 | |49.939 | ||
|24.029 | |24.029 | ||
| Line 456: | Line 456: | ||
| | | | ||
|- | |- | ||
| | |51edo | ||
|51.079 | |51.079 | ||
|23.493 | |23.493 | ||
| Line 464: | Line 464: | ||
| | | | ||
|- | |- | ||
| | |52edo | ||
|52.043 | |52.043 | ||
|23.058 | |23.058 | ||
| Line 472: | Line 472: | ||
| | | | ||
|- | |- | ||
| | |53edo | ||
| | |52.997 | ||
| | |22.643 | ||
| | |1200.068 | ||
| | |8.2 | ||
|257 | |257 | ||
|255 | |255 | ||
|- | |- | ||
| | |54edo (1st peak) | ||
|53.949 | |53.949 | ||
|22.243 | |22.243 | ||
| Line 488: | Line 488: | ||
| | | | ||
|- | |- | ||
| | |54edo (2nd peak) | ||
|54.116 | |54.116 | ||
|22.175 | |22.175 | ||
| Line 496: | Line 496: | ||
| | | | ||
|- | |- | ||
| | |55edo | ||
|54.894 | |54.894 | ||
|21.860 | |21.860 | ||
| Line 504: | Line 504: | ||
| | | | ||
|- | |- | ||
| | |56edo | ||
|56.008 | |56.008 | ||
|21.426 | |21.426 | ||
| Line 512: | Line 512: | ||
| | | | ||
|- | |- | ||
| | |57edo | ||
|56.968 | |56.968 | ||
|21.064 | |21.064 | ||
| Line 520: | Line 520: | ||
| | | | ||
|- | |- | ||
| | |58edo | ||
|58.067 | |58.067 | ||
|20.666 | |20.666 | ||
| Line 528: | Line 528: | ||
| | | | ||
|- | |- | ||
| | |59edo | ||
|58.992 | |58.992 | ||
|20.342 | |20.342 | ||
| Line 536: | Line 536: | ||
| | | | ||
|- | |- | ||
| | |60edo | ||
|59.92 | |59.92 | ||
|20.027 | |20.027 | ||
| Line 544: | Line 544: | ||
| | | | ||
|- | |- | ||
| | |61edo | ||
|61.003 | |61.003 | ||
|19.671 | |19.671 | ||
| Line 552: | Line 552: | ||
| | | | ||
|- | |- | ||
| | |62edo | ||
|61.938 | |61.938 | ||
|19.374 | |19.374 | ||
| Line 560: | Line 560: | ||
| | | | ||
|- | |- | ||
| | |63edo | ||
|63.019 | |63.019 | ||
|19.042 | |19.042 | ||
| Line 568: | Line 568: | ||
| | | | ||
|- | |- | ||
| | |64edo | ||
|64.099 | |64.099 | ||
|18.721 | |18.721 | ||
| Line 576: | Line 576: | ||
| | | | ||
|- | |- | ||
| | |65edo | ||
|65.016 | |65.016 | ||
|18.457 | |18.457 | ||
| Line 584: | Line 584: | ||
| | | | ||
|- | |- | ||
| | |66edo | ||
|65.916 | |65.916 | ||
|18.205 | |18.205 | ||
| Line 592: | Line 592: | ||
| | | | ||
|- | |- | ||
| | |67edo | ||
|66.998 | |66.998 | ||
|17.911 | |17.911 | ||
| Line 600: | Line 600: | ||
| | | | ||
|- | |- | ||
| | |68edo | ||
|68.049 | |68.049 | ||
|17.634 | |17.634 | ||
| Line 608: | Line 608: | ||
| | | | ||
|- | |- | ||
| | |69edo | ||
|68.96 | |68.96 | ||
|17.401 | |17.401 | ||
| Line 616: | Line 616: | ||
| | | | ||
|- | |- | ||
| | |70edo | ||
|70.004 | |70.004 | ||
|17.142 | |17.142 | ||
| Line 624: | Line 624: | ||
| | | | ||
|- | |- | ||
| | |71edo | ||
|71.059 | |71.059 | ||
|16.887 | |16.887 | ||
| Line 632: | Line 632: | ||
| | | | ||
|- | |- | ||
| | |72edo | ||
| | |71.951 | ||
| | |16.678 | ||
| | |1200.817 | ||
| | |9.2 | ||
|380 | |380 | ||
|378 | |378 | ||
|- | |- | ||
| | |73edo | ||
|72.984 | |72.984 | ||
|16.442 | |16.442 | ||
| Line 648: | Line 648: | ||
| | | | ||
|- | |- | ||
| | |74edo | ||
|74.052 | |74.052 | ||
|16.205 | |16.205 | ||
| Line 656: | Line 656: | ||
| | | | ||
|- | |- | ||
| | |75edo | ||
|75.091 | |75.091 | ||
|15.981 | |15.981 | ||
| Line 664: | Line 664: | ||
| | | | ||
|- | |- | ||
| | |76edo | ||
|75.968 | |75.968 | ||
|15.796 | |15.796 | ||
| Line 672: | Line 672: | ||
| | | | ||
|- | |- | ||
| | |77edo | ||
|76.992 | |76.992 | ||
|15.586 | |15.586 | ||
| Line 680: | Line 680: | ||
| | | | ||
|- | |- | ||
| | |78edo | ||
|78.021 | |78.021 | ||
|15.380 | |15.380 | ||
| Line 688: | Line 688: | ||
| | | | ||
|- | |- | ||
| | |79edo | ||
|78.892 | |78.892 | ||
|15.211 | |15.211 | ||
| Line 696: | Line 696: | ||
| | | | ||
|- | |- | ||
| | |80edo | ||
|80.073 | |80.073 | ||
|14.986 | |14.986 | ||
| Line 704: | Line 704: | ||
| | | | ||
|- | |- | ||
| | |81edo | ||
|80.947 | |80.947 | ||
|14.825 | |14.825 | ||
| Line 712: | Line 712: | ||
| | | | ||
|- | |- | ||
| | |82edo | ||
|81.954 | |81.954 | ||
|14.642 | |14.642 | ||
| Line 720: | Line 720: | ||
| | | | ||
|- | |- | ||
| | |83edo | ||
|82.967 | |82.967 | ||
|14.464 | |14.464 | ||
| Line 728: | Line 728: | ||
| | | | ||
|- | |- | ||
| | |84edo | ||
|83.997 | |83.997 | ||
|14.286 | |14.286 | ||
| Line 736: | Line 736: | ||
| | | | ||
|- | |- | ||
| | |85edo | ||
|84.991 | |84.991 | ||
|14.119 | |14.119 | ||
| Line 744: | Line 744: | ||
| | | | ||
|- | |- | ||
| | |86edo | ||
|86.019 | |86.019 | ||
|13.950 | |13.950 | ||
| Line 752: | Line 752: | ||
| | | | ||
|- | |- | ||
| | |87edo | ||
|87.014 | |87.014 | ||
|13.791 | |13.791 | ||
| Line 760: | Line 760: | ||
| | | | ||
|- | |- | ||
| | |88edo | ||
|88.027 | |88.027 | ||
|13.632 | |13.632 | ||
| Line 768: | Line 768: | ||
| | | | ||
|- | |- | ||
| | |89edo | ||
|89.023 | |89.023 | ||
|13.480 | |13.480 | ||
| Line 776: | Line 776: | ||
| | | | ||
|- | |- | ||
| | |90edo | ||
|90.006 | |90.006 | ||
|13.332 | |13.332 | ||
| Line 784: | Line 784: | ||
| | | | ||
|- | |- | ||
| | |91edo (1st peak) | ||
|90.852 | |90.852 | ||
|13.208 | |13.208 | ||
| Line 792: | Line 792: | ||
| | | | ||
|- | |- | ||
| | |91edo (2nd peak) | ||
|91.033 | |91.033 | ||
|13.182 | |13.182 | ||
| Line 800: | Line 800: | ||
| | | | ||
|- | |- | ||
| | |92edo | ||
|91.993 | |91.993 | ||
|13.044 | |13.044 | ||
| Line 808: | Line 808: | ||
| | | | ||
|- | |- | ||
| | |93edo | ||
|93.002 | |93.002 | ||
|12.903 | |12.903 | ||
| Line 816: | Line 816: | ||
| | | | ||
|- | |- | ||
| | |94edo | ||
|93.984 | |93.984 | ||
|12.768 | |12.768 | ||
| Line 824: | Line 824: | ||
| | | | ||
|- | |- | ||
| | |95edo (1st peak) | ||
|94.962 | |94.962 | ||
|12.637 | |12.637 | ||
| Line 832: | Line 832: | ||
| | | | ||
|- | |- | ||
| | |95edo (2nd peak) | ||
|95.117 | |95.117 | ||
|12.616 | |12.616 | ||
| Line 840: | Line 840: | ||
| | | | ||
|- | |- | ||
| | |96edo | ||
|95.954 | |95.954 | ||
|12.506 | |12.506 | ||
| Line 848: | Line 848: | ||
| | | | ||
|- | |- | ||
| | |97edo | ||
|96.925 | |96.925 | ||
|12.381 | |12.381 | ||
| Line 856: | Line 856: | ||
| | | | ||
|- | |- | ||
| | |98edo | ||
|97.923 | |97.923 | ||
|12.255 | |12.255 | ||
| Line 864: | Line 864: | ||
| | | | ||
|- | |- | ||
| | |99edo | ||
| | |99.047 | ||
| | |12.115 | ||
| | |1199.431 | ||
| | |9.4 | ||
| | | | ||
| | | | ||
|- | |- | ||
| | |100edo | ||
|100.024 | |100.024 | ||
|11.997 | |11.997 | ||
| Line 880: | Line 880: | ||
| | | | ||
|- | |- | ||
| | |270edo | ||
| | |270.018 | ||
| | |4.444 | ||
| | |1199.920 | ||
| | |13.4 | ||
|1936 | |1936 | ||
|1934 | |1934 | ||
|- | |- | ||
| | |311edo | ||
| | |311.004 | ||
| | |3.858 | ||
| | |1199.985 | ||
| | |13.1 | ||
|2293 | |2293 | ||
|2291 | |2291 | ||
|- | |- | ||
| | |342edo | ||
| | |341.975 | ||
| | |3.509 | ||
| | |1200.088 | ||
| | |13.5 | ||
|2568 | |2568 | ||
|2566 | |2566 | ||
|- | |- | ||
| | |494edo | ||
| | |494.014 | ||
| | |2.429 | ||
| | |1199.966 | ||
| | |14.7 | ||
|3971 | |3971 | ||
|3969 | |3969 | ||
|- | |- | ||
| | |684edo | ||
| | |683.939 | ||
| | |1.755 | ||
| | |1200.107 | ||
| | |14.3 | ||
|5818 | |5818 | ||
| | | | ||
Revision as of 04:46, 30 March 2024
Explanation of what a 'zeta stretched edo' is: The Riemann Zeta Function and Tuning#Optimal Octave Stretch.
Instructions on how to calculate the second 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
| Edo | No. of steps per 1200 cents | Step size (cents) | Octave size (cents) | Zeta peak height | Zeta peak index | Gram point index |
|---|---|---|---|---|---|---|
| 1edo | 1.127 | 1064.774 | 1064.774 | 1.6 | 1 | -1 |
| 2edo | 1.972 | 608.519 | 1217.039 | 2.3 | 2 | 0 |
| 3edo | 3.06 | 392.157 | 1176.471 | 2.8 | 4 | 2 |
| 4edo | 3.904 | 307.377 | 1229.508 | 3.0 | 6 | 4 |
| 5edo | 5.034 | 238.379 | 1191.895 | 3.7 | 9 | 7 |
| 6edo | 6.035 | 198.840 | 1193.041 | 2.9 | 12 | 10 |
| 7edo | 6.957 | 172.488 | 1207.417 | 4.2 | 15 | 13 |
| 8edo | 8.137 | 147.474 | 1179.796 | 3.6 | 19 | 17 |
| 9edo | 8.95 | 134.078 | 1206.704 | 4.0 | 22 | 20 |
| 10edo | 10.008 | 119.904 | 1199.041 | 4.5 | 26 | 24 |
| 11edo | 11.037 | 108.725 | 1195.977 | 2.7 | 30 | 28 |
| 12edo | 12.023 | 99.809 | 1197.704 | 5.2 | 34 | 32 |
| 13edo | 12.969 | 92.528 | 1202.868 | 3.1 | 38 | 36 |
| 14edo | 13.9 | 86.331 | 1208.633 | 4.6 | 42 | 40 |
| 15edo | 15.053 | 79.718 | 1195.775 | 5.1 | 47 | 45 |
| 16edo | 15.945 | 75.259 | 1204.139 | 4.2 | 51 | 49 |
| 17edo | 17.045 | 70.402 | 1196.832 | 5.1 | 56 | 54 |
| 18edo | 18.119 | 66.229 | 1192.119 | 3.5 | 61 | 59 |
| 19edo | 18.948 | 63.331 | 1203.293 | 6.0 | 65 | 63 |
| 20edo | 19.982 | 60.054 | 1201.081 | 3.4 | ||
| 21edo | 21.028 | 57.067 | 1198.402 | 4.1 | ||
| 22edo | 22.025 | 54.484 | 1198.638 | 6.1 | ||
| 23edo (1st peak) | 22.807 | 52.615 | 1210.148 | 3.7 | ||
| 23edo (2nd peak) | 23.026 | 52.115 | 1198.645 | 2.2 | ||
| 24edo | 24.006 | 49.988 | 1199.700 | 5.7 | ||
| 25edo | 24.965 | 48.067 | 1201.682 | 3.9 | ||
| 26edo | 25.936 | 46.268 | 1202.961 | 5.6 | ||
| 27edo | 27.087 | 44.302 | 1196.146 | 6.1 | ||
| 28edo | 28.032 | 42.808 | 1198.630 | 3.7 | ||
| 29edo | 28.94 | 41.465 | 1202.488 | 5.6 | ||
| 30edo | 30.062 | 39.918 | 1197.525 | 3.3 | ||
| 31edo | 30.978 | 38.737 | 1200.852 | 7.0 | 127 | 125 |
| 32edo | 32.07 | 37.418 | 1197.381 | 4.5 | ||
| 33edo | 32.972 | 36.395 | 1201.019 | 3.3 | ||
| 34edo | 34.045 | 35.247 | 1198.414 | 6.7 | ||
| 35edo | 34.926 | 34.358 | 1202.543 | 4.2 | ||
| 36edo | 35.982 | 33.350 | 1200.600 | 6.0 | ||
| 37edo | 37.027 | 32.409 | 1199.125 | 5.3 | ||
| 38edo (1st peak) | 37.89 | 31.671 | 1203.484 | 5.8 | ||
| 38edo (2nd peak) | 38.103 | 31.494 | 1196.756 | 2.5 | ||
| 39edo (1st peak) | 38.916 | 30.836 | 1202.590 | 2.6 | ||
| 39edo (2nd peak) | 39.124 | 30.672 | 1196.197 | 5.6 | ||
| 40edo | 39.968 | 30.024 | 1200.961 | 4.0 | ||
| 41edo | 40.988 | 29.277 | 1200.351 | 7.6 | 184 | 182 |
| 42edo | 41.999 | 28.572 | 1200.029 | 2.7 | ||
| 43edo | 43.027 | 27.889 | 1199.247 | 6.2 | ||
| 44edo | 44.015 | 27.263 | 1199.591 | 4.6 | ||
| 45edo (1st peak) | 44.84 | 26.762 | 1204.282 | 5.3 | ||
| 45edo (2nd peak) | 45.035 | 26.646 | 1199.067 | 2.1 | ||
| 46edo | 46.009 | 26.082 | 1199.765 | 7.5 | ||
| 47edo | 47.006 | 25.529 | 1199.847 | 4.3 | ||
| 48edo | 47.988 | 25.006 | 1200.300 | 5.8 | ||
| 49edo (1st peak) | 48.945 | 24.517 | 1201.348 | 2.2 | ||
| 49edo (2nd peak) | 49.141 | 24.420 | 1196.557 | 5.7 | ||
| 50edo | 49.939 | 24.029 | 1201.466 | 6.7 | ||
| 51edo | 51.079 | 23.493 | 1198.144 | 4.8 | ||
| 52edo | 52.043 | 23.058 | 1199.009 | 4.1 | ||
| 53edo | 52.997 | 22.643 | 1200.068 | 8.2 | 257 | 255 |
| 54edo (1st peak) | 53.949 | 22.243 | 1201.134 | 2.0 | ||
| 54edo (2nd peak) | 54.116 | 22.175 | 1197.428 | 3.5 | ||
| 55edo | 54.894 | 21.860 | 1202.317 | 5.3 | ||
| 56edo | 56.008 | 21.426 | 1199.829 | 6.1 | ||
| 57edo | 56.968 | 21.064 | 1200.674 | 4.9 | ||
| 58edo | 58.067 | 20.666 | 1198.615 | 7.8 | ||
| 59edo | 58.992 | 20.342 | 1200.163 | 4.0 | ||
| 60edo | 59.92 | 20.027 | 1201.602 | 7.1 | ||
| 61edo | 61.003 | 19.671 | 1199.941 | 3.7 | ||
| 62edo | 61.938 | 19.374 | 1201.201 | 6.3 | ||
| 63edo | 63.019 | 19.042 | 1199.638 | 6.8 | ||
| 64edo | 64.099 | 18.721 | 1198.147 | 3.6 | ||
| 65edo | 65.016 | 18.457 | 1199.705 | 7.8 | ||
| 66edo | 65.916 | 18.205 | 1201.529 | 4.5 | ||
| 67edo | 66.998 | 17.911 | 1200.036 | 5.3 | ||
| 68edo | 68.049 | 17.634 | 1199.136 | 7.7 | ||
| 69edo | 68.96 | 17.401 | 1200.696 | 4.1 | ||
| 70edo | 70.004 | 17.142 | 1199.931 | 5.7 | ||
| 71edo | 71.059 | 16.887 | 1199.004 | 3.8 | ||
| 72edo | 71.951 | 16.678 | 1200.817 | 9.2 | 380 | 378 |
| 73edo | 72.984 | 16.442 | 1200.263 | 3.4 | ||
| 74edo | 74.052 | 16.205 | 1199.157 | 5.1 | ||
| 75edo | 75.091 | 15.981 | 1198.546 | 6.0 | ||
| 76edo | 75.968 | 15.796 | 1200.505 | 2.6 | ||
| 77edo | 76.992 | 15.586 | 1200.125 | 8.2 | ||
| 78edo | 78.021 | 15.380 | 1199.677 | 5.4 | ||
| 79edo | 78.892 | 15.211 | 1201.643 | 5.8 | ||
| 80edo | 80.073 | 14.986 | 1198.906 | 7.9 | ||
| 81edo | 80.947 | 14.825 | 1200.786 | 5.2 | ||
| 82edo | 81.954 | 14.642 | 1200.674 | 6.7 | ||
| 83edo | 82.967 | 14.464 | 1200.477 | 3.9 | ||
| 84edo | 83.997 | 14.286 | 1200.043 | 8.0 | ||
| 85edo | 84.991 | 14.119 | 1200.127 | 3.0 | ||
| 86edo | 86.019 | 13.950 | 1199.735 | 2.4 | ||
| 87edo | 87.014 | 13.791 | 1199.807 | 8.9 | ||
| 88edo | 88.027 | 13.632 | 1199.632 | 2.6 | ||
| 89edo | 89.023 | 13.480 | 1199.690 | 7.6 | ||
| 90edo | 90.006 | 13.332 | 1199.920 | 4.8 | ||
| 91edo (1st peak) | 90.852 | 13.208 | 1201.955 | 6.7 | ||
| 91edo (2nd peak) | 91.033 | 13.182 | 1199.565 | 3.4 | ||
| 92edo | 91.993 | 13.044 | 1200.091 | 4.5 | ||
| 93edo | 93.002 | 12.903 | 1199.974 | 5.6 | ||
| 94edo | 93.984 | 12.768 | 1200.204 | 8.8 | ||
| 95edo (1st peak) | 94.962 | 12.637 | 1200.480 | 0.9 | ||
| 95edo (2nd peak) | 95.117 | 12.616 | 1198.524 | 5.3 | ||
| 96edo | 95.954 | 12.506 | 1200.575 | 7.3 | ||
| 97edo | 96.925 | 12.381 | 1200.929 | 4.2 | ||
| 98edo | 97.923 | 12.255 | 1200.944 | 4.3 | ||
| 99edo | 99.047 | 12.115 | 1199.431 | 9.4 | ||
| 100edo | 100.024 | 11.997 | 1199.712 | 4.3 | ||
| 270edo | 270.018 | 4.444 | 1199.920 | 13.4 | 1936 | 1934 |
| 311edo | 311.004 | 3.858 | 1199.985 | 13.1 | 2293 | 2291 |
| 342edo | 341.975 | 3.509 | 1200.088 | 13.5 | 2568 | 2566 |
| 494edo | 494.014 | 2.429 | 1199.966 | 14.7 | 3971 | 3969 |
| 684edo | 683.939 | 1.755 | 1200.107 | 14.3 | 5818 |