Meantone family: Difference between revisions

Undo revision 148033 by Lériendil (talk) Avoid overloading temperament data
Tag: Undo
Septimal meantone: Fix error (ten fifths to 7, not nine)
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{{Wikipedia| Septimal meantone temperament }}
{{Wikipedia| Septimal meantone temperament }}


In septimal meantone, nine fifths get to the interval class for 7, so that [[7/4]] is an augmented sixth (C-A♯), [[7/6]] is an augmented second (C-D♯), [[7/5]] is an augmented fourth (C-F♯), and [[21/16]] is an augmented third (C-E♯). Septimal meantone tempers out the common 7-limit commas [[126/125]], [[225/224]], and [[3136/3125]] and in fact can be defined as the 7-limit temperament that tempers out any two of 81/80, 126/125 and 225/224.  
In septimal meantone, ten fifths get to the interval class for 7, so that [[7/4]] is an augmented sixth (C-A♯), [[7/6]] is an augmented second (C-D♯), [[7/5]] is an augmented fourth (C-F♯), and [[21/16]] is an augmented third (C-E♯). Septimal meantone tempers out the common 7-limit commas [[126/125]], [[225/224]], and [[3136/3125]] and in fact can be defined as the 7-limit temperament that tempers out any two of 81/80, 126/125 and 225/224.  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7