98304edo: Difference between revisions
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==Intervals== | ==Intervals== | ||
98304EDO is [[consistent]] to the [[19-odd-limit|19-limit]], tempering out |45 2 -28 6>, |-54 15 -16 24>, and |-29 135 -18 -51> in the 7-limit; |-4 15 -14 7 -2>, |-3 28 2 -9 -6>, |-50 0 -2 17 2>, and |30 10 8 -2 -17> in the 11-limit; 123201/123200, 32427005625/32426652544, 278924131584/278916015625, 37744795080531/37744172597248, and 156905298045000/156904157228819 in the 13-limit; 2000033/2000000, 154002541/154001250, 303464448/303460625, 338676338/338671875, 791249550/791243563, and 176846618624/176846076825 in the 17-limit; 89376/89375, 104976/104975, 709632/709631, 5836831/5836800, 494190983/494190000, | 98304EDO is [[consistent]] to the [[19-odd-limit|19-limit]], tempering out |45 2 -28 6>, |-54 15 -16 24>, and |-29 135 -18 -51> in the 7-limit; |-4 15 -14 7 -2>, |-3 28 2 -9 -6>, |-50 0 -2 17 2>, and |30 10 8 -2 -17> in the 11-limit; 123201/123200, 32427005625/32426652544, 278924131584/278916015625, 37744795080531/37744172597248, and 156905298045000/156904157228819 in the 13-limit; 2000033/2000000, 154002541/154001250, 303464448/303460625, 338676338/338671875, 791249550/791243563, and 176846618624/176846076825 in the 17-limit; 89376/89375, 104976/104975, 709632/709631, 5836831/5836800, 494190983/494190000, 1206902781/1206878450, and 21867094832/21867015625 in the 19-limit. | ||
{| class="wikitable" | |||
|- | |||
! rowspan="2"| 98304EDO <br>steps | |||
! rowspan="2"| cents <br>value | |||
! colspan="2"| JI interval | |||
! rowspan="2"| error <br>(cents) | |||
|- | |||
! | ratio | |||
! | cents | |||
|- | |||
| | 0 | |||
| | 0.0000 | |||
| | [[1/1]] | |||
| | 0.0000 | |||
| | ±0.0000 | |||
|- | |||
| | 3995 | |||
| | 48.7671 | |||
| | [[36/35]] | |||
| | 48.7704 | |||
| | −0.00329 | |||
|- | |||
| | 4111 | |||
| | 50.1831 | |||
| | 35/34 | |||
| | 50.1842 | |||
| | −0.00111 | |||
|- | |||
| | 4234 | |||
| | 51.6846 | |||
| | 34/33 | |||
| | 51.6825 | |||
| | +0.00210 | |||
|- | |||
| | 4364 | |||
| | 53.2715 | |||
| | [[33/32]] | |||
| | 53.2729 | |||
| | −0.00146 | |||
|- | |||
| | 5158 | |||
| | 62.9639 | |||
| | [[28/27]] | |||
| | 62.9609 | |||
| | +0.00296 | |||
|- | |||
| | 5352 | |||
| | 65.3320 | |||
| | [[27/26]] | |||
| | 65.3373 | |||
| | −0.00531 | |||
|- | |||
| | 5562 | |||
| | 67.8955 | |||
| | [[26/25]] | |||
| | 67.9002 | |||
| | −0.00473 | |||
|- | |||
| | 6598 | |||
| | 80.5420 | |||
| | [[22/21]] | |||
| | 80.5370 | |||
| | +0.00496 | |||
|- | |||
| | 7275 | |||
| | 88.8062 | |||
| | [[20/19]] | |||
| | 88.8007 | |||
| | +0.00545 | |||
|- | |||
| | 7668 | |||
| | 93.6035 | |||
| | [[19/18]] | |||
| | 93.6030 | |||
| | +0.00050 | |||
|- | |||
| | 8106 | |||
| | 98.9502 | |||
| | [[18/17]] | |||
| | 98.9546 | |||
| | −0.00440 | |||
|- | |||
| | 8598 | |||
| | 104.9561 | |||
| | [[17/16]] | |||
| | 104.9554 | |||
| | +0.00065 | |||
|- | |||
| | 9153 | |||
| | 111.7310 | |||
| | [[16/15]] | |||
| | 111.7313 | |||
| | −0.00033 | |||
|- | |||
| | 9785 | |||
| | 119.4458 | |||
| | [[15/14]] | |||
| | 119.4428 | |||
| | +0.00299 | |||
|- | |||
| | 10510 | |||
| | 128.2959 | |||
| | [[14/13]] | |||
| | 128.2982 | |||
| | −0.00235 | |||
|- | |||
| | 11352 | |||
| | 138.5742 | |||
| | [[13/12]] | |||
| | 138.5727 | |||
| | +0.00156 | |||
|- | |||
| | 12340 | |||
| | 150.6348 | |||
| | [[12/11]] | |||
| | 150.6371 | |||
| | −0.00229 | |||
|- | |||
| | 13517 | |||
| | 165.0024 | |||
| | [[11/10]] | |||
| | 165.0042 | |||
| | −0.00179 | |||
|- | |||
| | 14943 | |||
| | 182.4097 | |||
| | [[10/9]] | |||
| | 182.4037 | |||
| | +0.00596 | |||
|- | |||
| | 15774 | |||
| | 192.5537 | |||
| | [[19/17]] | |||
| | 192.5576 | |||
| | −0.00390 | |||
|- | |||
| | 16704 | |||
| | 203.9063 | |||
| | [[9/8]] | |||
| | 203.9100 | |||
| | −0.00375 | |||
|- | |||
| | 17751 | |||
| | 216.6870 | |||
| | [[17/15]] | |||
| | 216.6867 | |||
| | +0.00032 | |||
|- | |||
| | 18938 | |||
| | 231.1768 | |||
| | [[8/7]] | |||
| | 231.1741 | |||
| | +0.00266 | |||
|- | |||
| | 20295 | |||
| | 247.7417 | |||
| | [[15/13]] | |||
| | 247.7411 | |||
| | +0.00065 | |||
|- | |||
| | 20792 | |||
| | 253.8086 | |||
| | [[22/19]] | |||
| | 253.8049 | |||
| | +0.00367 | |||
|- | |||
| | 21862 | |||
| | 266.8701 | |||
| | [[7/6]] | |||
| | 266.8709 | |||
| | −0.00079 | |||
|- | |||
| | 23049 | |||
| | 281.3599 | |||
| | [[20/17]] | |||
| | 281.3583 | |||
| | +0.00156 | |||
|- | |||
| | 23692 | |||
| | 289.2090 | |||
| | [[13/11]] | |||
| | 289.2097 | |||
| | −0.00074 | |||
|- | |||
| | 24372 | |||
| | 297.5098 | |||
| | [[19/16]] | |||
| | 297.5130 | |||
| | −0.00325 | |||
|- | |||
| | 25857 | |||
| | 315.6372 | |||
| | [[6/5]] | |||
| | 315.6413 | |||
| | −0.00408 | |||
|- | |||
| | 27536 | |||
| | 336.1328 | |||
| | [[17/14]] | |||
| | 336.1295 | |||
| | +0.00331 | |||
|- | |||
| | 28460 | |||
| | 347.4121 | |||
| | [[11/9]] | |||
| | 347.4079 | |||
| | +0.00417 | |||
|- | |||
| | 29448 | |||
| | 359.4727 | |||
| | [[16/13]] | |||
| | 359.4723 | |||
| | +0.00032 | |||
|- | |||
| | 31647 | |||
| | 386.3159 | |||
| | [[5/4]] | |||
| | 386.3137 | |||
| | +0.00220 | |||
|- | |||
| | 40800 | |||
| | 498.0469 | |||
| | [[4/3]] | |||
| | 498.0450 | |||
| | +0.00188 | |||
|- | |||
| | 98304 | |||
| | 1200.0000 | |||
| | [[Octave|2/1]] | |||
| | 1200.0000 | |||
| | ±0.0000 | |||
|} | |||
==See also== | ==See also== | ||