Parakleisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Some actual history
Francium (talk | contribs)
m Added color name
Line 2: Line 2:
| Monzo = 8 14 -13
| Monzo = 8 14 -13
| Name = parakleisma
| Name = parakleisma
| Color name = g<sup>13</sup>3, thegu 3rd
| Comma = yes
| Comma = yes
}}
}}

Revision as of 06:02, 8 September 2023

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
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.

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].

Notes