353edo
353edo divides the octave into parts of 3.3994 cents each. It is the 71st prime EDO.
Theory
Script error: No such module "primes_in_edo". From the prime number standpoint, 353edo is suitable for use with 2.7.11.17.23.29.31.37 subgroup. This makes 353edo an "upside-down" EDO - poor approximation of the low harmonics, but an improvement over the high ones.
Relation to a calendar reform
In the original Hebrew calendar, years number 3, 6, 8, 11, 14, 17, and 19 within a 19-year pattern are leap. When converted to 19edo, this results in simply the diatonic major scale. Following this logic, a temperament can be constructed for the Rectified Hebrew calendar, containing 130 notes of the 353-edo scale. Hebrew[130] scale can be described as 18 19-edo scales completed by a single 4 out of 11 scale of 11edo. The generator of this temperament is the lunar logarithmic interval - 0.36826 of an octave. Although it lacks an acoustic application, in real life it is the fraction of a month by which 12 lunar months fall short of a solar year.
Temperaments
- Hebrew[130]
- Hebrew[223] - the complement