From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Factorization 28 × 314 × 5-13
Monzo [8 14 -13
Size in cents 5.2917319¢
Name parakleisma
Color name g133, thegu 3rd
FJS name [math]\text{5d3}_{5,5,5,5,5,5,5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 60.3745
Weil height (log2 max(n, d)) 60.379
Wilson height (sopfr (nd)) 123
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.55907 bits
Comma size small
open this interval in xen-calc

The parakleisma (monzo: [8 14 -13), is a small comma of 5.292 cents which is the amount by which thirteen classical minor thirds exceed 32/3; in other words (6/5)13/(32/3). Tempering it out leads to the 5-limit parakleismic temperament.


The corresponding temperament was discovered first, known as parakleismic no later than early 2002[1]. Parakleisma was back-formed from parakleismic by Gene Ward Smith in late 2002[2].