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-D♭), 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~~.

Immediate 11-limit extensions include ''cassandra'' (41&53), mapping 11/8 to +23 fifths, ''andromeda'' (29&41), mapping 11/8 to -18 fifths, and ''helenus'' (53&65d), mapping 11/8 to -30 fifths.

== Interval chain ==

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[[Category:Marvel temperaments]]

[[Category:Schismatic family]]

~~{{IoT}}~~

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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-D♭), 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&amp;53), mapping 11/8 to +23 steps, ''andromeda'' (29&amp;41), mapping 11/8 to -18 steps, and ''helenus'' (53&amp;65d), mapping 11/8 to -30 steps.
+Immediate 11-limit extensions include ''cassandra'' (41&amp;53), mapping 11/8 to +23 fifths, ''andromeda'' (29&amp;41), mapping 11/8 to -18 fifths, and ''helenus'' (53&amp;65d), mapping 11/8 to -30 fifths.
 == Interval chain ==
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 [[Category:Marvel temperaments]]
 [[Category:Schismatic family]]
-{{IoT}}