Well now that's a huge improvement.
//lookup table for 256 CIE lab brightness corrected values with 12 bit resolution
const uint16_t CIEL_8_12[] PROGMEM = {
0, 2, 4, 5, 7, 9, 11, 12, 14, 16, 18, 20, 21, 23, 25, 27, 28, 30, 32, 34, 36, 37, 39, 41, 43, 45, 47, 49, 52, 54, 56, 59, 61, 64, 66, 69, 72, 75, 77, 80, 83, 87, 90, 93, 97, 100, 103, 107, 111, 115, 118, 122, 126, 131, 135, 139, 144, 148, 153, 157, 162, 167, 172, 177, 182, 187, 193, 198, 204, 209, 215, 221, 227, 233, 239, 246, 252, 259, 265, 272, 279, 286, 293, 300, 308, 315, 323, 330, 338, 346, 354, 362, 371, 379, 388, 396, 405, 414, 423, 432, 442, 451, 461, 471, 480, 490, 501, 511, 521, 532, 543, 554, 565, 576, 587, 599, 610, 622, 634, 646, 658, 670, 683, 696, 708, 721, 734, 748, 761, 775, 789, 802, 817, 831, 845, 860, 875, 890, 905, 920, 935, 951, 967, 983, 999, 1015, 1032, 1048, 1065, 1082, 1099, 1117, 1134, 1152, 1170, 1188, 1206, 1225, 1243, 1262, 1281, 1301, 1320, 1340, 1359, 1379, 1400, 1420,1441, 1461, 1482, 1504, 1525, 1547, 1568, 1590, 1613, 1635, 1658, 1681, 1704, 1727, 1750, 1774, 1798, 1822, 1846, 1871, 1896, 1921, 1946, 1971, 1997, 2023, 2049, 2075, 2101, 2128, 2155, 2182, 2210 2237, 2265, 2293, 2322, 2350, 2379, 2408, 2437, 2467, 2497, 2527, 2557, 2587, 2618, 2649, 2680, 2712, 2743, 2775, 2807, 2840, 2872, 2905, 2938, 2972, 3006, 3039, 3074, 3108, 3143, 3178, 3213, 3248,3284, 3320, 3356, 3393, 3430, 3467, 3504, 3542, 3579, 3617, 3656, 3694, 3733, 3773, 3812, 3852, 3892, 3932, 3973, 4013, 4055, 4095 };