295edo

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← 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

Template:EDO intro

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.