# 2730edo

← 2729edo | 2730edo | 2731edo → |

**2730 equal divisions of the octave** (abbreviated **2730edo** or **2730ed2**), also called **2730-tone equal temperament** (**2730tet**) or **2730 equal temperament** (**2730et**) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2730 equal parts of about 0.44 ¢ each. Each step represents a frequency ratio of 2^{1/2730}, or the 2730th root of 2.

2730edo is consistent to the 21-odd-limit.

In the 5-limit, it tunes the 13th-octave temperament aluminium and raider. In the 7-limit, it tunes 30th-octave zinc and 21st-octave akjayland. It is a tuning for the 35th-octave bromine temperament in the 17-limit and the 91st-octave protactinium temperament in the 7-limit.

### Prime harmonics

Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

Error | Absolute (¢) | +0.000 | +0.023 | +0.060 | -0.035 | -0.109 | -0.088 | +0.100 | +0.069 | -0.142 | -0.127 | +0.019 |

Relative (%) | +0.0 | +5.2 | +13.6 | -7.9 | -24.8 | -20.0 | +22.6 | +15.8 | -32.4 | -28.8 | +4.4 | |

Steps (reduced) |
2730 (0) |
4327 (1597) |
6339 (879) |
7664 (2204) |
9444 (1254) |
10102 (1912) |
11159 (239) |
11597 (677) |
12349 (1429) |
13262 (2342) |
13525 (2605) |

### Subsets and supersets

Since 2730 factors into 2 × 3 × 5 × 7 × 13, 2730edo has subset edos 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, and 1365. Its abundancy index is around 1.95.