I just threw this together in excel and I think it should work for me, if not at least for initial tests. It is 2048 numbers, increasing from 0 - 2047 exponentially (rounded up to the next whole number). I might need to shift it to align with a scale, but I'm currently happy although its bigger than I originally planned.
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dw expoTable
expoTableLen EQU 2048
; Exponential mapping
expoTable ; 4096 bytes (2048 integers)
dw 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
dw 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6
dw 6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12
dw 12,13,13,13,13,13,13,13,14,14,14,14,14,14,15,15,15,15,15,15,16,16,16,16,16,17,17,17,17,17,17,18,18,18,18,18,19,19
dw 19,19,19,20,20,20,20,20,21,21,21,21,21,22,22,22,22,22,23,23,23,23,23,24,24,24,24,25,25,25,25,25,26,26,26,26,27,27
dw 27,27,27,28,28,28,28,29,29,29,29,30,30,30,30,31,31,31,31,32,32,32,32,33,33,33,33,34,34,34,34,35,35,35,35,36,36,36
dw 36,37,37,37,37,38,38,38,39,39,39,39,40,40,40,41,41,41,41,42,42,42,43,43,43,43,44,44,44,45,45,45,45,46,46,46,47,47
dw 47,48,48,48,48,49,49,49,50,50,50,51,51,51,52,52,52,53,53,53,54,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,59,59
dw 60,60,60,61,61,61,62,62,62,63,63,63,64,64,64,65,65,65,66,66,67,67,67,68,68,68,69,69,69,70,70,71,71,71,72,72,72,73
dw 73,74,74,74,75,75,75,76,76,77,77,77,78,78,79,79,79,80,80,81,81,81,82,82,83,83,83,84,84,85,85,85,86,86,87,87,87,88
dw 88,89,89,89,90,90,91,91,92,92,92,93,93,94,94,95,95,95,96,96,97,97,98,98,98,99,99,100,100,101,101,102,102,102,103
dw 103,104,104,105,105,106,106,107,107,107,108,108,109,109,110,110,111,111,112,112,113,113,113,114,114,115,115,116
dw 116,117,117,118,118,119,119,120,120,121,121,122,122,123,123,124,124,125,125,126,126,127,127,128,128,129,129,130
dw 130,131,131,132,132,133,133,134,134,135,135,136,136,137,137,138,138,139,139,140,140,141,141,142,142,143,144,144
dw 145,145,146,146,147,147,148,148,149,149,150,150,151,152,152,153,153,154,154,155,155,156,157,157,158,158,159,159
dw 160,160,161,162,162,163,163,164,164,165,165,166,167,167,168,168,169,169,170,171,171,172,172,173,174,174,175,175
dw 176,176,177,178,178,179,179,180,181,181,182,182,183,184,184,185,185,186,187,187,188,188,189,190,190,191,191,192
dw 193,193,194,195,195,196,196,197,198,198,199,199,200,201,201,202,203,203,204,204,205,206,206,207,208,208,209,210
dw 210,211,212,212,213,213,214,215,215,216,217,217,218,219,219,220,221,221,222,223,223,224,225,225,226,227,227,228
dw 229,229,230,231,231,232,233,233,234,235,235,236,237,237,238,239,239,240,241,241,242,243,243,244,245,246,246,247
dw 248,248,249,250,250,251,252,253,253,254,255,255,256,257,257,258,259,260,260,261,262,262,263,264,265,265,266,267
dw 268,268,269,270,270,271,272,273,273,274,275,276,276,277,278,278,279,280,281,281,282,283,284,284,285,286,287,287
dw 288,289,290,290,291,292,293,293,294,295,296,296,297,298,299,300,300,301,302,303,303,304,305,306,306,307,308,309
dw 310,310,311,312,313,313,314,315,316,317,317,318,319,320,321,321,322,323,324,324,325,326,327,328,328,329,330,331
dw 332,332,333,334,335,336,337,337,338,339,340,341,341,342,343,344,345,346,346,347,348,349,350,350,351,352,353,354
dw 355,355,356,357,358,359,360,360,361,362,363,364,365,366,366,367,368,369,370,371,371,372,373,374,375,376,377,377
dw 378,379,380,381,382,383,383,384,385,386,387,388,389,390,390,391,392,393,394,395,396,397,397,398,399,400,401,402
dw 403,404,405,405,406,407,408,409,410,411,412,413,413,414,415,416,417,418,419,420,421,422,423,423,424,425,426,427
dw 428,429,430,431,432,433,433,434,435,436,437,438,439,440,441,442,443,444,445,446,446,447,448,449,450,451,452,453
dw 454,455,456,457,458,459,460,461,462,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480
dw 481,482,483,484,485,486,487,488,489,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507
dw 508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,536
dw 537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,565
dw 566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,583,584,585,586,587,588,589,590,591,592,593,594
dw 595,596,598,599,600,601,602,603,604,605,606,607,608,610,611,612,613,614,615,616,617,618,619,620,622,623,624,625
dw 626,627,628,629,630,632,633,634,635,636,637,638,639,640,642,643,644,645,646,647,648,649,651,652,653,654,655,656
dw 657,658,660,661,662,663,664,665,666,668,669,670,671,672,673,674,676,677,678,679,680,681,683,684,685,686,687,688
dw 689,691,692,693,694,695,696,698,699,700,701,702,703,705,706,707,708,709,711,712,713,714,715,716,718,719,720,721
dw 722,724,725,726,727,728,729,731,732,733,734,735,737,738,739,740,741,743,744,745,746,748,749,750,751,752,754,755
dw 756,757,758,760,761,762,763,765,766,767,768,769,771,772,773,774,776,777,778,779,781,782,783,784,785,787,788,789
dw 790,792,793,794,795,797,798,799,800,802,803,804,805,807,808,809,810,812,813,814,815,817,818,819,821,822,823,824
dw 826,827,828,829,831,832,833,835,836,837,838,840,841,842,843,845,846,847,849,850,851,852,854,855,856,858,859,860
dw 862,863,864,865,867,868,869,871,872,873,875,876,877,878,880,881,882,884,885,886,888,889,890,892,893,894,896,897
dw 898,900,901,902,904,905,906,908,909,910,912,913,914,916,917,918,920,921,922,924,925,926,928,929,930,932,933,934
dw 936,937,938,940,941,943,944,945,947,948,949,951,952,953,955,956,957,959,960,962,963,964,966,967,968,970,971,973
dw 974,975,977,978,980,981,982,984,985,986,988,989,991,992,993,995,996,998,999,1000,1002,1003,1005,1006,1007,1009
dw 1010,1012,1013,1014,1016,1017,1019,1020,1021,1023,1024,1026,1027,1029,1030,1031,1033,1034,1036,1037,1038,1040
dw 1041,1043,1044,1046,1047,1048,1050,1051,1053,1054,1056,1057,1059,1060,1061,1063,1064,1066,1067,1069,1070,1072
dw 1073,1074,1076,1077,1079,1080,1082,1083,1085,1086,1087,1089,1090,1092,1093,1095,1096,1098,1099,1101,1102,1104
dw 1105,1107,1108,1109,1111,1112,1114,1115,1117,1118,1120,1121,1123,1124,1126,1127,1129,1130,1132,1133,1135,1136
dw 1138,1139,1141,1142,1144,1145,1147,1148,1150,1151,1153,1154,1156,1157,1159,1160,1162,1163,1165,1166,1168,1169
dw 1171,1172,1174,1175,1177,1178,1180,1181,1183,1184,1186,1187,1189,1190,1192,1193,1195,1196,1198,1200,1201,1203
dw 1204,1206,1207,1209,1210,1212,1213,1215,1216,1218,1220,1221,1223,1224,1226,1227,1229,1230,1232,1233,1235,1237
dw 1238,1240,1241,1243,1244,1246,1247,1249,1251,1252,1254,1255,1257,1258,1260,1262,1263,1265,1266,1268,1269,1271
dw 1273,1274,1276,1277,1279,1280,1282,1284,1285,1287,1288,1290,1292,1293,1295,1296,1298,1300,1301,1303,1304,1306
dw 1308,1309,1311,1312,1314,1316,1317,1319,1320,1322,1324,1325,1327,1328,1330,1332,1333,1335,1336,1338,1340,1341
dw 1343,1345,1346,1348,1349,1351,1353,1354,1356,1358,1359,1361,1362,1364,1366,1367,1369,1371,1372,1374,1376,1377
dw 1379,1380,1382,1384,1385,1387,1389,1390,1392,1394,1395,1397,1399,1400,1402,1404,1405,1407,1409,1410,1412,1413
dw 1415,1417,1418,1420,1422,1423,1425,1427,1428,1430,1432,1433,1435,1437,1439,1440,1442,1444,1445,1447,1449,1450
dw 1452,1454,1455,1457,1459,1460,1462,1464,1465,1467,1469,1471,1472,1474,1476,1477,1479,1481,1482,1484,1486,1488
dw 1489,1491,1493,1494,1496,1498,1500,1501,1503,1505,1506,1508,1510,1512,1513,1515,1517,1518,1520,1522,1524,1525
dw 1527,1529,1530,1532,1534,1536,1537,1539,1541,1543,1544,1546,1548,1550,1551,1553,1555,1557,1558,1560,1562,1564
dw 1565,1567,1569,1571,1572,1574,1576,1578,1579,1581,1583,1585,1586,1588,1590,1592,1593,1595,1597,1599,1600,1602
dw 1604,1606,1608,1609,1611,1613,1615,1616,1618,1620,1622,1624,1625,1627,1629,1631,1632,1634,1636,1638,1640,1641
dw 1643,1645,1647,1649,1650,1652,1654,1656,1658,1659,1661,1663,1665,1667,1668,1670,1672,1674,1676,1677,1679,1681
dw 1683,1685,1686,1688,1690,1692,1694,1696,1697,1699,1701,1703,1705,1706,1708,1710,1712,1714,1716,1717,1719,1721
dw 1723,1725,1727,1728,1730,1732,1734,1736,1738,1740,1741,1743,1745,1747,1749,1751,1752,1754,1756,1758,1760,1762
dw 1764,1765,1767,1769,1771,1773,1775,1777,1778,1780,1782,1784,1786,1788,1790,1792,1793,1795,1797,1799,1801,1803
dw 1805,1807,1808,1810,1812,1814,1816,1818,1820,1822,1823,1825,1827,1829,1831,1833,1835,1837,1839,1840,1842,1844
dw 1846,1848,1850,1852,1854,1856,1858,1860,1861,1863,1865,1867,1869,1871,1873,1875,1877,1879,1881,1882,1884,1886
dw 1888,1890,1892,1894,1896,1898,1900,1902,1904,1906,1907,1909,1911,1913,1915,1917,1919,1921,1923,1925,1927,1929
dw 1931,1933,1935,1937,1938,1940,1942,1944,1946,1948,1950,1952,1954,1956,1958,1960,1962,1964,1966,1968,1970,1972
dw 1974,1976,1978,1980,1982,1984,1985,1987,1989,1991,1993,1995,1997,1999,2001,2003,2005,2007,2009,2011,2013,2015
dw 2017,2019,2021,2023,2025,2027,2029,2031,2033,2035,2037,2039,2041,2043,2045,2047
EDIT: Crap...I did taht wrong. I have to translate an 8-bit number to an 11 bit number, not 11 to 11.