Parakleisma
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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{nd}[/math])
~1.45613 bits
Comma size
small
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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[1]. Parakleisma was back-formed from parakleismic by Gene Ward Smith in late 2002[2].