# 295edo

 ← 294edo 295edo 296edo →
Prime factorization 5 × 59
Step size 4.0678¢
Fifth 173\295 (703.729¢)
Semitones (A1:m2) 31:20 (126.1¢ : 81.36¢)
Dual sharp fifth 173\295 (703.729¢)
Dual flat fifth 172\295 (699.661¢)
Dual major 2nd 50\295 (203.39¢) (→10\59)
Consistency limit 5
Distinct consistency limit 5

295 equal divisions of the octave (abbreviated 295edo or 295ed2), also called 295-tone equal temperament (295tet) or 295 equal temperament (295et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 295 equal parts of about 4.07 ¢ each. Each step represents a frequency ratio of 21/295, or the 295th root of 2.

295edo is only consistent to the 5-odd-limit and harmonic 3 is about halfway between its steps. Otherwise it does well in approximating harmonics 5 and 7, making it suitable for a 2.9.5.7 subgroup interpretation. Using the full 7-limit interpretation nonetheless, the 295d val is a tuning for the octagar temperament, and 295ccdd is a tuning for sensi.

### Odd harmonics

Approximation of odd harmonics in 295edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +1.77 +0.13 -0.69 -0.52 +1.90 +1.51 +1.90 +0.81 -0.56 +1.08 -1.83
Relative (%) +43.6 +3.1 -17.0 -12.8 +46.8 +37.0 +46.7 +19.8 -13.9 +26.6 -45.1
Steps
(reduced)
468
(173)
685
(95)
828
(238)
935
(50)
1021
(136)
1092
(207)
1153
(268)
1206
(26)
1253
(73)
1296
(116)
1334
(154)

### Subsets and supersets

Since 295 factors into 5 × 59, 295edo contains 5edo and 59edo as its subsets.