Triraptor comma: Difference between revisions

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Created page with "{{Infobox Interval | Name = Triraptor comma | Ratio = 34391/34295 | Comma = yes}} '''34391/34295''', the '''triraptor comma''', is a 19-limit small comma. By tempering..."
 
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| Ratio = 34391/34295
| Ratio = 34391/34295
| Comma = yes}}
| Comma = yes}}
'''34391/34295''', the '''triraptor comma''', is a [[19-limit]] [[small comma]]. By tempering it out is defined the [[triraptor]] temperament.
'''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 subgroup temperaments|no twos or threes]] temperament, which could for example be used in [[ED5]] tunings.


== Etymology ==
== Etymology ==
The name ''triraptor comma'' was named by [[User:Kaiveran|Kaiveran]] in 2023.
The name ''triraptor comma'' was named by [[User:Kaiveran|Kaiveran]] in 2023.
== Temperaments ==
=== Triraptor ===
[[Subgroup]]: 5.7.17.19
[[Comma list]]: 34391/34295
{{Mapping|legend=1| 1 10 5 | 0 -22 -7 }}
: mapping generators: ~5/1, ~19/17, ~17/5
[[Optimal tuning]]s:
* [[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 [[ED5]]s: ''Todo: fill this in.'' {{todo|complete list}}
[[Badness]] (Sintel): 0.105


[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]]

Revision as of 02:15, 6 November 2024

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]\displaystyle{ \text{d2}^{7,17,17,17}_{5,19,19,19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 30.1355
Weil norm (log2 max(n, d)) 30.1395
Wilson norm (sopfr(nd)) 120
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

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: Todo: fill this in.

Badness (Sintel): 0.105

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