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| == Temperament == | | == Temperament == |
| Tempering this comma out gives euzenius temperament. | | Tempering this comma out gives euzenius temperament (→ [[Very high accuracy temperaments #Starscape or Latritriru-ayo]]). |
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| === Euzenius (3566 & 3125 & 171) ===
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 78125000/78121827 | |
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| [[Mapping]]: [⟨1 1 0 -5], ⟨0 2 0 -13], ⟨0 0 1 5]]
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| [[POTE generator|POTE generators]]: ~6250/5103 = 350.9788, ~5 = 2786.3104
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| [[Val|Vals]]: [[171edo|171]], [[441edo|441]], [[612edo|612]], [[2954edo|2954]], [[3125edo|3125]], [[3566edo|3566]], [[3737edo|3737]], [[6250edo|6250]], [[6520edo|6520]], [[6691edo|6691]]
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| [[Badness]]: 0.000205
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| Temperament finder: http://x31eq.com/cgi-bin/uv.cgi?uvs=%5B3%2C-13%2C10%2C-2%3E&page=2&limit=7
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| === Ennealimmal ===
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 2401/2400, 4375/4374
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| [[Mapping]]: [⟨9 1 1 12], ⟨0 2 3 2]]
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| [[Wedgie]]: ⟨⟨18 27 18 1 -22 -34]]
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| [[POTE generator]]: ~5/3 = 884.3129
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| [[Optimal GPV sequence]]: [[27edo|27]], [[45edo|45]], [[72edo|72]], [[99edo|99]], [[171edo|171]], [[441edo|441]], [[612edo|612]]
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| [[Badness]]: 0.003610
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| === Fortune ===
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 78125000/78121827, [-52 17 12 -1⟩
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| [[Mapping]]: [⟨1 -1 11 63], ⟨0 14 -47 -326]]
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| [[POTE generator]]: ~8388608/7381125 = 221.568031
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| [[Optimal GPV sequence]]: [[612edo|612]], [[1901edo|1901]], [[2513edo|2513]], [[3125edo|3125]], [[6862edo|6862]], [[9987edo|9987]]
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| [[Badness]]: 0.023704
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| == See also == | | == See also == |
| | * [[Unnoticeable comma]] |
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| * [[Unnoticeable comma]]
| | [[Category:7-limit]] |
| | [[Category:Unnoticeable commas]] |
The euzenius comma is a 7-limit unnoticeable comma with a ratio of 78125000/78121827, a monzo of [3 -13 10 -2⟩, and a size of 0.070314 cents. It is the difference between two 6250/5103 intervals and the perfect fifth. It is tempered out in temperaments such as ennealimmal and fortune.
Temperament
Tempering this comma out gives euzenius temperament (→ Very high accuracy temperaments #Starscape or Latritriru-ayo).
See also