Triraptor comma
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Ratio | 34391/34295 |
Factorization | 5-1 × 7 × 173 × 19-3 |
Monzo | [0 0 -1 1 0 0 3 -3⟩ |
Size in cents | 4.8393727¢ |
Name | Triraptor comma |
FJS name | [math]\text{d2}^{7,17,17,17}_{5,19,19,19}[/math] |
Special properties | reduced |
Tenney height (log2 nd) | 30.1355 |
Weil height (log2 max(n, d)) | 30.1395 |
Wilson height (sopfr (nd)) | 120 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.41429 bits |
Comma size | small |
open this interval in xen-calc |
34391/34295, the triraptor comma, is a 19-limit small comma. By tempering it out is defined the rank-3 triraptor temperament. Triraptor is a no twos or threes temperament, which could for example be used in ED5 tunings.
Etymology
The name triraptor comma was named by Kaiveran in 2023.
Temperaments
Triraptor
Subgroup: 5.7.17.19
Comma list: 34391/34295
Mapping: [⟨1 10 5], ⟨0 -22 -7]]
- mapping generators: ~5/1, ~19/17, ~17/5
- CWE: ~5/1 = 1\1ed5, ~19/17 = 194.115, ~17/5 = 2117.820
- WE: ~5/1 = 2786.394, ~19/17 = 194.105, ~17/5 = 2117.818
Recommended ED5s: 29, 13, 71, 14, 42, 15, 16, 43, 28, 72, 44, 30, 57, 12
Badness (Sintel): 0.105