Diminished seventh chord: Difference between revisions
clarify that meantone is not required for tempering out 126/125 to produce an essentially tempered chord |
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(Note that the interval of ~[[25/18]] between ~6/5 and ~5/3 tempers to ~[[10/7]], and the interval of ~[[25/21]] between ~7/5 and ~5/3 tempers to ~[[12/7]].) | (Note that the interval of ~[[25/18]] between ~6/5 and ~5/3 tempers to ~[[10/7]], and the interval of ~[[25/21]] between ~7/5 and ~5/3 tempers to ~[[12/7]].) | ||
In 5-limit [[meantone]], a stack of three minor thirds tempers to ~[[128/75]], leaving a ~[[75/64]] augmented second to close the octave. The resulting chord has an [[intervallic odd limit]] of 75: | In 5-limit [[meantone]], which tempers out [[81/80]], a stack of three minor thirds tempers to ~[[128/75]], leaving a ~[[75/64]] augmented second to close the octave. The resulting chord has an [[intervallic odd limit]] of 75: | ||
* (Meantone) 1 – 6/5 – 36/25 – 128/75 | * (Meantone) 1 – 6/5 – 36/25 – 128/75 | ||