# 395edo

 ← 394edo 395edo 396edo →
Prime factorization 5 × 79
Step size 3.03797¢
Fifth 231\395 (701.772¢)
Semitones (A1:m2) 37:30 (112.4¢ : 91.14¢)
Consistency limit 9
Distinct consistency limit 9

395 equal divisions of the octave (abbreviated 395edo or 395ed2), also called 395-tone equal temperament (395tet) or 395 equal temperament (395et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 395 equal parts of about 3.04 ¢ each. Each step represents a frequency ratio of 21/395, or the 395th root of 2.

## Theory

395edo is consistent to the 9-odd-limit. The equal temperament tempers out 32805/32768 in the 5-limit; 4375/4374, 65625/65536, 14348907/14336000, and 40500000/40353607 in the 7-limit; supporting gold and pontiac.

### Prime harmonics

Approximation of prime harmonics in 395edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 -0.18 -0.49 +0.29 -1.44 +0.99 +1.37 +0.21 +0.59 +0.30 +0.28
Relative (%) +0.0 -6.0 -16.2 +9.5 -47.5 +32.6 +45.2 +6.9 +19.3 +9.8 +9.2
Steps
(reduced)
395
(0)
626
(231)
917
(127)
1109
(319)
1366
(181)
1462
(277)
1615
(35)
1678
(98)
1787
(207)
1919
(339)
1957
(377)

### Subsets and supersets

Since 395 factors into 5 × 79, 395edo has 5edo and 79edo as its subset edos.

## Regular temperament properties

Subgroup Comma List Mapping Optimal
8ve Stretch (¢)
Tuning Error
Absolute (¢) Relative (%)
2.3 [-626 395 [395 626]] 0.0577 0.0577 1.90
2.3.5 32805/32768, [-34 -43 44 [395 626 917]] 0.1089 0.0864 2.84
2.3.5.7 4375/4374, 32805/32768, 40500000/40353607 [395 626 917 1109]] 0.0560 0.1183 3.89
2.3.5.7.11 1375/1372, 4375/4374, 32805/32768, 35937/35840 [395 626 917 1109 1366]] 0.1283 0.1792 5.90

### Rank-2 temperaments

Table of rank-2 temperaments by generator
Periods
per 8ve
Generator* Cents* Associated
Ratio*
Temperaments
1 164\395 498.23 4/3 Pontiac

* octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if it is distinct