17L 12s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author JosephRuhf and made on 2015-11-15 18:47:04 UTC.
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This MOS, belonging to the Leapday and Grackle temperaments, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 cents sharp. That is to say, its region includes all linear combinations of [[17edo]] and [[29edo]] and divides at [[80edo]] into [[Margo Schulter]]'s [[gentle region]] extending down to 29edo and a yet-unnamed region extending up to 17edo. Only the latter region will be catalouged here, as cataloguing the former in a second place is inefficient. || 47/80 || || || || || || || 705 || <span style="background-color: #ffffff;">< 80 127 225|</span> || || || || || || || || 292/497 || 705.03 || < 497 789 1395| || || || || || || || 245/417 || || 705.036 || < 417 662 1171| || || || || || || || || 443/754 || 705.04 || < 754 1197 2117| || || || || || || 198/337 || || || 705.0445 || < 337 535 946| || || || || || || || || 547/931 || 705.048 || < 931 1478 2614| || || || || || || || 349/594 || || 705 5/99 || < 594 943 1668| || || || || || || || || 500/851 || 705.053 || < 851 1351 2389| || || || || || 151/257 || || || || 705.058 || < 257 408 721| || || || || || || || || 557/948 || 705.063 || < 948 1505 2661| || || || || || || || 406/691 || || 705.065 || < 691 1095 1940| || || || || || || || || 661/1125 || 705.067 || < 1125 1786 3158| || || || || || || 255/434 || || || 705.069 || < 434 689 1218| || || || || || || || || 614/1045 || 705.072 || < 1045 1659 2934| || || || || || || || 359/611 || || 705.074 || < 611 970 1715| || || || || || || || || 463/788 || 705.076 || < 788 1251 2212| || || || || 104/177 || || || || || 705.085 || < 177 281 497| || || || || || || || || 473/805 || 705.093 || < 805 1278 2260| || || || || || || || 369/628 || || 705.0955 || < 628 997 1763| || || || || || || || || 634/1079 || 705.097 || < 1079 1713 3029| || || || || || || 265/451 || || || 705.1 || < 451 716 1266| || || || || || || || || 691/1176 || 705.102 || < 1176 1867 3301| || || || || || || || || || 705.102 || < 17 27 48|+ <span style="background-color: #ffffff;">< 80 127 225|*phi</span> || || || || || || || 426/725 || || 705.103 || < 725 1151 2035| || || || || || || || || 587/999 || 705.105 || < 999 1586 2805| || || || || || 161/274 || || || || 705.1095 || < 274 435 769| || || || || || || || || 540/919 || 705.114 || < 919 1459 2580| || || || || || || || 379/645 || || 705.116 || < 645 1024 1811| || || || || || || || || 597/1016 || 705.118 || < 1016 1613 2852| || || || || || || 218/371 || || || 705.121 || < 371 589 1042| || || || || || || || || 493/839 || 705.125 || < 839 1332 2355| || || || || || || || 275/468 || || 705.128 || < 468 743 1314| || || || || || || || || 332/565 || 705.133 || < 565 897 1586| || || || 57/97 || || || || || || 705.155 || < 97 154 272| || || || || || || || || 295/502 || 705.179 || < 502 797 1409| || || || || || || || 238/405 || || 705.185 || < 405 643 1137| || || || || || || || || 419/713 || 705.189 || < 713 1132 2002| || || || || || || 181/308 || || || 705.195 || < 308 489 865| || || || || || || || || 486/827 || 705.1995 || < 827 1313 2322| || || || || || || || 305/519 || || 705.202 || < 519 824 1457| || || || || || || || || 429/730 || 705.2055 || < 730 1159 2049| || || || || || 124/211 || || || || 705.213 || < 211 335 592| || || || || || || || || 439/747 || 705.221 || < 747 1186 2097| || || || || || || || 315/536 || || 705.224 || < 536 851 1505| || || || || || || || || 506/861 || 705.2265 || < 861 1367 2417| || || || || || || 191/325 || || || 705.231 || < 325 516 912| || || || || || || || || 449/764 || 705.236 || < 764 1213 2145| || || || || || || || 258/439 || || 705.239 || < 439 697 1232| || || || || || || || || 325/553 || 705.244 || < 553 878 1552| || || || || 67/114 || || || || || 705.263 || < 114 181 320| || || || || || || || || 278/473 || 705.285 || < 473 751 1328| || || || || || || || 211/359 || || 705.2925 || < 359 570 1008| || || || || || || || || 355/604 || 705.298 || < 604 959 1696| || || || || || || 144/245 || || || 705.306 || < 245 389 688| || || || || || || || || 365/621 || 705.314 || < 621 986 1743| || || || || || || || 221/376 || || 705.319 || < 376 597 1056| || || || || || || || || 298/507 || 705.325 || < 507 805 1423| || || || || || 77/131 || || || || 705.3435 || < 131 208 368| || || || || || || || || 241/410 || 705.366 || < 410 651 1151| || || || || || || || 164/279 || || 705.376 || < 279 443 783| || || || || || || || || 251/427 || 705.386 || < 427 678 1199| || || || || || || 87/148 || || || 705.405 || < 148 235 415| || || || || || || || || 184/313 || 705.431 || < 313 495 879| || || || || || || || 97/165 || || 705.4545 || < 165 262 463| || || || || || || || || 107/182 || 705.4945 || < 182 289 511| || || 10/17 || || || || || || || 705.882 || < 17 27 48| ||
Original HTML content:
<html><head><title>17L 12s</title></head><body>This MOS, belonging to the Leapday and Grackle temperaments, is generated by taking a chain of 29 fifths tempered 1.49 to 3.93 cents sharp. That is to say, its region includes all linear combinations of <a class="wiki_link" href="/17edo">17edo</a> and <a class="wiki_link" href="/29edo">29edo</a> and divides at <a class="wiki_link" href="/80edo">80edo</a> into <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s <a class="wiki_link" href="/gentle%20region">gentle region</a> extending down to 29edo and a yet-unnamed region extending up to 17edo. Only the latter region will be catalouged here, as cataloguing the former in a second place is inefficient.<br /> <br /> <table class="wiki_table"> <tr> <td>47/80<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705<br /> </td> <td><span style="background-color: #ffffff;">< 80 127 225|</span><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>292/497<br /> </td> <td>705.03<br /> </td> <td>< 497 789 1395|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>245/417<br /> </td> <td><br /> </td> <td>705.036<br /> </td> <td>< 417 662 1171|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>443/754<br /> </td> <td>705.04<br /> </td> <td>< 754 1197 2117|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>198/337<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.0445<br /> </td> <td>< 337 535 946|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>547/931<br /> </td> <td>705.048<br /> </td> <td>< 931 1478 2614|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>349/594<br /> </td> <td><br /> </td> <td>705 5/99<br /> </td> <td>< 594 943 1668|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>500/851<br /> </td> <td>705.053<br /> </td> <td>< 851 1351 2389|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>151/257<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.058<br /> </td> <td>< 257 408 721|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>557/948<br /> </td> <td>705.063<br /> </td> <td>< 948 1505 2661|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>406/691<br /> </td> <td><br /> </td> <td>705.065<br /> </td> <td>< 691 1095 1940|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>661/1125<br /> </td> <td>705.067<br /> </td> <td>< 1125 1786 3158|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>255/434<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.069<br /> </td> <td>< 434 689 1218|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>614/1045<br /> </td> <td>705.072<br /> </td> <td>< 1045 1659 2934|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>359/611<br /> </td> <td><br /> </td> <td>705.074<br /> </td> <td>< 611 970 1715|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>463/788<br /> </td> <td>705.076<br /> </td> <td>< 788 1251 2212|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td>104/177<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.085<br /> </td> <td>< 177 281 497|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>473/805<br /> </td> <td>705.093<br /> </td> <td>< 805 1278 2260|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>369/628<br /> </td> <td><br /> </td> <td>705.0955<br /> </td> <td>< 628 997 1763|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>634/1079<br /> </td> <td>705.097<br /> </td> <td>< 1079 1713 3029|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>265/451<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.1<br /> </td> <td>< 451 716 1266|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>691/1176<br /> </td> <td>705.102<br /> </td> <td>< 1176 1867 3301|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.102<br /> </td> <td>< 17 27 48|+<br /> <span style="background-color: #ffffff;">< 80 127 225|*phi</span><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>426/725<br /> </td> <td><br /> </td> <td>705.103<br /> </td> <td>< 725 1151 2035|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>587/999<br /> </td> <td>705.105<br /> </td> <td>< 999 1586 2805|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>161/274<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.1095<br /> </td> <td>< 274 435 769|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>540/919<br /> </td> <td>705.114<br /> </td> <td>< 919 1459 2580|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>379/645<br /> </td> <td><br /> </td> <td>705.116<br /> </td> <td>< 645 1024 1811|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>597/1016<br /> </td> <td>705.118<br /> </td> <td>< 1016 1613 2852|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>218/371<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.121<br /> </td> <td>< 371 589 1042|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>493/839<br /> </td> <td>705.125<br /> </td> <td>< 839 1332 2355|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>275/468<br /> </td> <td><br /> </td> <td>705.128<br /> </td> <td>< 468 743 1314|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>332/565<br /> </td> <td>705.133<br /> </td> <td>< 565 897 1586|<br /> </td> </tr> <tr> <td><br /> </td> <td>57/97<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.155<br /> </td> <td>< 97 154 272|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>295/502<br /> </td> <td>705.179<br /> </td> <td>< 502 797 1409|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>238/405<br /> </td> <td><br /> </td> <td>705.185<br /> </td> <td>< 405 643 1137|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>419/713<br /> </td> <td>705.189<br /> </td> <td>< 713 1132 2002|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>181/308<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.195<br /> </td> <td>< 308 489 865|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>486/827<br /> </td> <td>705.1995<br /> </td> <td>< 827 1313 2322|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>305/519<br /> </td> <td><br /> </td> <td>705.202<br /> </td> <td>< 519 824 1457|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>429/730<br /> </td> <td>705.2055<br /> </td> <td>< 730 1159 2049|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>124/211<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.213<br /> </td> <td>< 211 335 592|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>439/747<br /> </td> <td>705.221<br /> </td> <td>< 747 1186 2097|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>315/536<br /> </td> <td><br /> </td> <td>705.224<br /> </td> <td>< 536 851 1505|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>506/861<br /> </td> <td>705.2265<br /> </td> <td>< 861 1367 2417|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>191/325<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.231<br /> </td> <td>< 325 516 912|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>449/764<br /> </td> <td>705.236<br /> </td> <td>< 764 1213 2145|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>258/439<br /> </td> <td><br /> </td> <td>705.239<br /> </td> <td>< 439 697 1232|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>325/553<br /> </td> <td>705.244<br /> </td> <td>< 553 878 1552|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td>67/114<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.263<br /> </td> <td>< 114 181 320|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>278/473<br /> </td> <td>705.285<br /> </td> <td>< 473 751 1328|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>211/359<br /> </td> <td><br /> </td> <td>705.2925<br /> </td> <td>< 359 570 1008|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>355/604<br /> </td> <td>705.298<br /> </td> <td>< 604 959 1696|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>144/245<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.306<br /> </td> <td>< 245 389 688|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>365/621<br /> </td> <td>705.314<br /> </td> <td>< 621 986 1743|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>221/376<br /> </td> <td><br /> </td> <td>705.319<br /> </td> <td>< 376 597 1056|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>298/507<br /> </td> <td>705.325<br /> </td> <td>< 507 805 1423|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>77/131<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.3435<br /> </td> <td>< 131 208 368|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>241/410<br /> </td> <td>705.366<br /> </td> <td>< 410 651 1151|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>164/279<br /> </td> <td><br /> </td> <td>705.376<br /> </td> <td>< 279 443 783|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>251/427<br /> </td> <td>705.386<br /> </td> <td>< 427 678 1199|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>87/148<br /> </td> <td><br /> </td> <td><br /> </td> <td>705.405<br /> </td> <td>< 148 235 415|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>184/313<br /> </td> <td>705.431<br /> </td> <td>< 313 495 879|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>97/165<br /> </td> <td><br /> </td> <td>705.4545<br /> </td> <td>< 165 262 463|<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>107/182<br /> </td> <td>705.4945<br /> </td> <td>< 182 289 511|<br /> </td> </tr> <tr> <td>10/17<br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>705.882<br /> </td> <td>< 17 27 48|<br /> </td> </tr> </table> </body></html>