Hemimean clan: Difference between revisions
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== Undetrita == | == Undetrita == | ||
The ''undetrita'' temperament (111&118) tempers out the hemimean comma (3136/3125) and [[skeetsma]] (14348907/14336000) in the 7-limit; 3025/3024, 3388/3375, and 8019/8000 in the 11-limit. This temperament is related to [[11edt|11EDT]] tuning, and the name ''undetrita'' is a play on the words "undecimus" (Latin for "eleventh") and "[[tritave]]" (third harmonic). | The ''undetrita'' temperament (111&118) tempers out the hemimean comma (3136/3125) and [[skeetsma]] (14348907/14336000) in the 7-limit; 3025/3024, 3388/3375, and 8019/8000 in the 11-limit. This temperament is related to [[11edt|11EDT]] tuning, and the name ''undetrita'' is a play on the words "undecimus" (Latin for "eleventh") and "[[tritave]]" (third harmonic). It is also related to the [[Subgroup temperaments #No-sevens subgroup|twentcufo temperament]], which is no-sevens version of 111&118. | ||
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POTE generator: ~400/363 = 172.912 | POTE generator: ~400/363 = 172.912 | ||
Vals: {{Val list|111, 118, 229, 347 }} | Vals: {{Val list| 111, 118, 229, 347 }} | ||
Badness: 0.043883 | Badness: 0.043883 | ||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 352/351, 729/728, 1001/1000, 3025/3024 | |||
Mapping: [{{val|1 0 -2 -8 0 5}}, {{val|0 11 30 75 24 -9}}] | |||
POTE generator: ~72/65 = 172.930 | |||
Vals: {{Val list| 111, 229f }} | |||
Badness: 0.038771 | |||
==== Undetritoid ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 351/350, 1573/1568, 2080/2079, 3136/3125 | |||
Mapping: [{{val|1 0 -2 -8 0 -11}}, {{val|0 11 30 75 24 102}}] | |||
POTE generator: ~72/65 = 172.933 | |||
Vals: {{Val list| 111, 229 }} | |||
Badness: 0.042744 | |||
== Isra == | == Isra == | ||