Parakleisma
Jump to navigation
Jump to search
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 |
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].