# 1794edo

1794 equal divisions of the octave creates steps of 0.668896 cents each.

## Theory

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

Error | absolute (¢) | +0.000 | -0.283 | +0.308 | -0.264 | -0.147 | +0.275 | +0.061 | +0.146 | -0.181 | -0.146 | +0.115 | +0.161 | -0.300 | +0.188 | +0.045 |

relative (%) | +0 | -42 | +46 | -39 | -22 | +41 | +9 | +22 | -27 | -22 | +17 | +24 | -45 | +28 | +7 | |

Steps (reduced) | 1794 (0) | 2843 (1049) | 4166 (578) | 5036 (1448) | 6206 (824) | 6639 (1257) | 7333 (157) | 7621 (445) | 8115 (939) | 8715 (1539) | 8888 (1712) | 9346 (376) | 9611 (641) | 9735 (765) | 9965 (995) |

1794edo's divisors are 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, and 897.

The best subgroup for 1794 is 2.11.17.19.29.31.47. Nonetheless, we will cover some 7-limit interpretations.

In the 1794c val, ⟨1794 2843 **4165** 5036], it tempers out the horwell comma and the landscape comma, supporting mutt. However, it is *not* better tuned than 171edo. Using the 1794bd val, ⟨1794 **2844** 4166 **5037**], it tempers out [21 -8 -6 2⟩, [-7 -15 6 6⟩, [-2 -3 15 -10⟩. This mapping of harmonic 7 is the same as 26edo's.

Remarkably, using the patent val, 1794edo tempers out the schisma.

In the 2.11.17 realm, 1794edo shares the [-67 43 -20⟩ comma with EDOs like 148, 231, and 296. In the 2.17.19 subgroup, 1794edo tempers out the [277 -21 -45⟩. Most notably, shares this property with 12, 24, 36, 48, as well as 855, 867, 879 and 891, with 855 being a multiple of 171. This is distantly reminiscent of the technique when 12edo's 1 and 3-step intervals, for example C# and D# counting from C, are assumed to be 17/16 and 19/16.

## Trivia

The number 1794 is known for being the fatal year of the French Revolution.