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 2^1/295, 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 (%)	+44	+3	-17	-13	+47	+37	+47	+20	-14	+27	-45
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.