Garibaldi: Difference between revisions
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'''Garibaldi temperament''' is a 7-limit (and higher) temperament of the [[Schismatic family #Garibaldi|schismatic family]]. It is an extension of [[helmholtz]] temperament beyond the 5-limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, [[5/4]] is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that [[7/4]] is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a [[Marvel temperaments|marvel temperament]]. | '''Garibaldi temperament''' is a 7-limit (and higher) temperament of the [[Schismatic family #Garibaldi|schismatic family]]. It is an extension of [[helmholtz]] temperament beyond the 5-limit but with the same simple chain-of-fifths structure (so that standard notation may be used). As in helmholtz temperament, [[5/4]] is mapped to the diminished fourth (e.g. A-Db), and the new mapping specific to garibaldi is that [[7/4]] is mapped to the double diminished octave (e.g. A-Abb). This makes garibaldi a [[Marvel temperaments|marvel temperament]]. | ||
Immediate 11-limit extensions include ''cassandra'' (41&53), mapping 11/8 to +23 steps, ''andromeda'' (29&41), mapping 11/8 to -18 steps, and ''helenus'' (53&65d), mapping 11/8 to -30 steps. | |||
== Interval chain == | == Interval chain == | ||