44ed5

← 43ed5

44ed5

45ed5 →

Prime factorization	22 × 11
Step size	63.3253 ¢
Octave	19\44ed5 (1203.18 ¢) (semiconvergent)
Twelfth	30\44ed5 (1899.76 ¢) (→ 15\22ed5)
Consistency limit	10
Distinct consistency limit	7

44 equal divisions of the 5th harmonic (abbreviated 44ed5) is a nonoctave tuning system that divides the interval of 5/1 into 44 equal parts of about 63.3 ¢ each. Each step represents a frequency ratio of 5^1/44, or the 44th root of 5.

Theory

44ed5 is very similar to 19edo, but with the 5/1 rather than the 2/1 being just. It is extremely close to the zeta peak near 19; the local zeta peak around 19 is located at 18.948087, which has the octave stretched by 3.2877 ¢; the octave of 44ed5 is only ⁠1/9⁠ ¢ off, thus minimizing relative error as much as possible. Because 19edo itself is a flat-tending system, stretching the octave improves the overall tuning accuracy.