295edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 294edo295edo296edo →
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 295-tone equal temperament (295tet), 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 of 295edo represents a frequency ratio of 21/295, or the 295th root of 2.

Theory

295d val is a tuning for the octagar temperament, and 295ccdd is a tuning for the septimal sensi.

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)