Parakleisma
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| Factorization | 28 × 314 × 5-13 |
| Monzo | [8 14 -13⟩ |
| Size in cents | 5.2917319¢ |
| Name | parakleisma |
| 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]) |
~2.51848 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].