# 298edo

**298 equal division** divides the octave into steps of 4.027 cents each.

## Theory

Prime number | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 43 | 47 | 53 | 59 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | absolute (¢) | +0.00 | -1.28 | +0.26 | +1.64 | +0.36 | +1.08 | -0.26 | +0.47 | -0.09 | +1.30 | -1.41 | -1.68 | +1.81 | -0.11 | -1.08 | +0.32 | -0.11 |

relative (%) | +0 | -32 | +7 | +41 | +9 | +27 | -6 | +12 | -2 | +32 | -35 | -42 | +45 | -3 | -27 | +8 | -3 | |

Steps (reduced) | 298 (0) | 472 (174) | 692 (96) | 837 (241) | 1031 (137) | 1103 (209) | 1218 (26) | 1266 (74) | 1348 (156) | 1448 (256) | 1476 (284) | 1552 (62) | 1597 (107) | 1617 (127) | 1655 (165) | 1707 (217) | 1753 (263) |

298edo has excellent representation of the 2.5.11.17.23.43.53.59 subgroup, with all the harmonics having errors of less than 10 rc. It is a double of 149edo, which is the smallest edo that is uniquely consistent within the 17-odd-limit. It supports a 17-limit extension of Sensi, 111 & 103 & 298. However, compared to 149edo, 298edo's patent val differs on the mapping of 7, 11, and 13th harmonics.

In the patent val, 298edo tempers out 351/350, 561/560, 936/935, and 1156/1155 in the full 17-limit. In the 2.5.11.13.17 subgroup, it tempers out 2200/2197 and 6656/6655.

In the 2.5.11.17.23.43.53.59, 298edo tempers out 3176/3175, 3128/3125, 3128/3127, 32906/32065 and 76585/76582.

The concoctic scale for 298edo is a generator of 105 steps (paraconcoctic).