Triraptor comma

Interval information

Ratio	34391/34295
Factorization	5-1 × 7 × 173 × 19-3
Monzo	[0 0 -1 1 0 0 3 -3⟩
Size in cents	4.839373¢
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
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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

Optimal tunings:

• 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