German sixth chord: Difference between revisions
factor out category |
clarify meantone vs. septimal meantone in chord summaries |
||
(One intermediate revision by the same user not shown) | |||
Line 11: | Line 11: | ||
simultaneously represents both [[72:90:108:125]] (with steps 5/4, 6/5, and [[125/108]]) and [[128:160:192:225]] (with steps 5/4, 6/5, and [[75/64]]). | simultaneously represents both [[72:90:108:125]] (with steps 5/4, 6/5, and [[125/108]]) and [[128:160:192:225]] (with steps 5/4, 6/5, and [[75/64]]). | ||
However, in the historically prevalent [[quarter-comma meantone]], the augmented | However, in the historically prevalent [[quarter-comma meantone]], the augmented sixth is tuned only a few cents shy of a just [[7/4]], so the meantone German sixth chord can be considered to approximate the ''harmonic seventh chord'' as in [[septimal meantone]]: | ||
* ( | * (Septimal meantone) 1 – 5/4 – 3/2 – 7/4 | ||
representing [[4:5:6:7]] (with steps 5/4, 6/5, and 7/6). | representing [[4:5:6:7]] (with steps 5/4, 6/5, and 7/6). |