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| == Petrtri == | | == Petrtri == |
| Petrtri can be described as 3 & 5 temperament in the 2.11/5.13/5 subgroup.
| | {{See also| Subgroup temperaments #Petrtri }} |
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| [[Subgroup]]: 2.11/5.13/5
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| [[Comma list]]: [[2200/2197]]
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| {{Mapping|legend=2| 1 0 1| 0 3 1 }} | |
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| {{Mapping|legend=3| 1 0 -1/3 0 -1/3 2/3 | 0 0 -4/3 0 5/3 -1/3 }}
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| : [[gencom]]: [2 13/10; 2200/2197]
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| [[Optimal tuning]] ([[Tp tuning|subgroup]] [[POTE]]): ~2 = 1\1, ~13/10 = 455.012
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| {{Optimal ET sequence|legend=1| 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.0749 cents
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| [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] | | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
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| == Tridec == | | == Tridec == |
| Tridec, the 5 & 8 temperament in the 2.7/5.11/5.13/5 subgroup, extends [[petrtri]].
| | {{See also| Subgroup temperaments #Tridec }} |
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| [[Subgroup]]: 2.7/5.11/5.13/5
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| [[Comma list]]: [[847/845]], [[1001/1000]]
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| {{Mapping|legend=2| 1 2 0 1 | 0 -4 3 1 }} | |
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| {{Mapping|legend=3| 1 0 -3/4 5/4 -3/4 1/4 | 0 0 0 -4 3 1 }}
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| : [[gencom]]: [2 13/10; 847/845 1001/1000]
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| [[Optimal tuning]] ([[Tp tuning|subgroup]] [[POTE]]): ~2 = 1\1, ~13/10 = 454.556
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| {{Optimal ET sequence|legend=1| 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.1613 cents
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| [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] | | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
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| == Marveltwintri == | | == Marveltwintri == |
| Marveltwintri can be described as the 3 & 4 temperament in the 2.5/3.13/9 subgroup.
| | {{See also| Subgroup temperaments #Marveltwintri }} |
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| [[Subgroup]]: 2.5/3.13/9
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| [[Comma list]]: [[325/324]]
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| {{Mapping|legend=2| 1 0 2 | 0 1 -2 }} | |
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| {{Mapping|legend=3| 1 -1/6 5/6 0 0 -1/3 | 0 -1/2 -3/2 0 0 1 }}
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| : [[gencom]]: [2 6/5; 325/324]
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| [[Optimal tuning]] ([[Tp tuning|subgroup]] [[POTE]]): ~2 = 1\1, ~6/5 = 317.139
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| {{Optimal ET sequence|legend=1| 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.2444 cents
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| [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] | | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |