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Interval information
Ratio 4394/4375
Factorization 2 × 5-4 × 7-1 × 133
Monzo [1 0 -4 -1 0 3
Size in cents 7.5022234¢
Name hebrewsma
Color name 3o3rg42, tritho-aruquadgu 2nd
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.70921 bits
Comma size small
S-expression S262 × S27
open this interval in xen-calc

4394/4375, the hebrewsma, is a small 13-limit comma of about 7.5 cents. When octave-reduced, 4394/4375 represents the difference between a stack of three 13/10's against 35/32.


Tempering out this comma in the 13-limit results in the rank-5 hebrewsmic temperament. Tempering it out in the subgroup results in the rank-3 hebrew temperament. In either case 14/13 is split in two parts, each corresponding to 26/25.

Tempering it out alongside with 3136/3125 sets the rectified hebrew temperament, which is a subgroup 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 in the Optimal ET sequence19(e), 34d, 38df, 53, 58, 72, 77, 111, 130, 19e. In addition, it is tempered out by 353edo, where it is connected to a proposal to reform the Hebrew calendar, hence its name.