# 1225edo

Jump to navigation
Jump to search
Prime factorization
5
Step size
0.979592¢
Fifth
717\1225 (702.367¢)
Semitones (A1:m2)
119:90 (116.6¢ : 88.16¢)
Dual sharp fifth
717\1225 (702.367¢)
Dual flat fifth
716\1225 (701.388¢)
Dual major 2nd
208\1225 (203.755¢)
Consistency limit
3
Distinct consistency limit
3

← 1224edo | 1225edo | 1226edo → |

^{2}× 7^{2}**1225 equal divisions of the octave** (abbreviated **1225edo** or **1225ed2**), also called **1225-tone equal temperament** (**1225tet**) or **1225 equal temperament** (**1225et**) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 1225 equal parts of about 0.98 ¢ each. Each step represents a frequency ratio of 2^{1/1225}, or the 1225th root of 2.

The first seven prime harmonics with less than 1 standard deviation error in 1225edo are: 7, 13, 17, 29, 31, 41, 43.

### Odd harmonics

Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | absolute (¢) | +0.412 | -0.355 | -0.010 | -0.155 | +0.192 | -0.038 | +0.058 | -0.139 | +0.283 | +0.403 | -0.356 |

relative (%) | +42 | -36 | -1 | -16 | +20 | -4 | +6 | -14 | +29 | +41 | -36 | |

Steps (reduced) |
1942 (717) |
2844 (394) |
3439 (989) |
3883 (208) |
4238 (563) |
4533 (858) |
4786 (1111) |
5007 (107) |
5204 (304) |
5381 (481) |
5541 (641) |

This page is a stub. You can help the Xenharmonic Wiki by expanding it. |