Parakleisma

Interval information

Factorization	28 × 314 × 5-13
Monzo	[8 14 -13⟩
Size in cents	5.291732¢
Name	parakleisma
Color name	g133, thegu 3rd
FJS name	[math]\displaystyle{ \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
Comma size	small
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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.

Etymology

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