4394/4375

Interval information

Ratio	4394/4375
Factorization	2 × 5-4 × 7-1 × 133
Monzo	[1 0 -4 -1 0 3⟩
Size in cents	7.502223¢
Name	rectified Hebrew comma
FJS name	[math]\displaystyle{ \text{ddd2}^{13,13,13}_{5,5,5,5,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	24.1964
Weil height (log2 max(n, d))	24.2026
Wilson height (sopfr(nd))	68
Comma size	small
S-expression	S262 × S27
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4394/4375, the rectified Hebrew comma, is a small 13-limit comma of about 7.5 cents.

When octave-reduced, 4394/4375 represents a difference between a stack of three 13/10 against one 35/32. Alternately, it splits the 14/13 in two parts, each corresponding to 26/25.

Theory

Tempering out 4394/4375 alongside with 3136/3125 sets the rectified Hebrew temperament, which is a 13-limit extension of didacus. The presence of 4394/4375 being tempered out is the defining factor which specifies the temperament as Rectified Hebrew.

The comma is tempered out by the following vals: 72, 58, 53, 130, 111, 19p, 34d, 19e, 77, 38df. In addition, it is tempered out by 353edo, where it is connected to a proposal to reform the Hebrew calendar, and where it takes its name from.