Kirnberger I: Difference between revisions
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Kirnberger I is very similar to [[Pythagorean tuning]] but not exactly the same. In Kirnberger I, the D–A fifth is reduced by a [[syntonic comma]], making the major thirds F–A, C–E, G–B, and D–F# pure, though the fifth based on D is a ratio of [[40/27]] instead of [[3/2]]. This leaves 10 pure fifths and one that is flat by a [[schisma]], placed between C# and Ab. | '''Kirnberger I''' is very similar to [[Pythagorean12|12-tone Pythagorean tuning]] but not exactly the same. In Kirnberger I, the D–A fifth is reduced by a [[syntonic comma]], making the major thirds F–A, C–E, G–B, and D–F# pure, though the fifth based on D is a ratio of [[40/27]] instead of [[3/2]]. This leaves 10 pure fifths and one that is flat by a [[schisma]], placed between C# and Ab. | ||
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Suggested keyboard mappings: | |||
* Central C | |||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||
Revision as of 06:09, 28 April 2023
Kirnberger I is very similar to 12-tone Pythagorean tuning but not exactly the same. In Kirnberger I, the D–A fifth is reduced by a syntonic comma, making the major thirds F–A, C–E, G–B, and D–F# pure, though the fifth based on D is a ratio of 40/27 instead of 3/2. This leaves 10 pure fifths and one that is flat by a schisma, placed between C# and Ab.
! kirnberger_1.scl ! Kirnberger's well temperament, also called Kirnberger I. 12 ! ! ! 135/128 9/8 32/27 5/4 4/3 45/32 3/2 128/81 5/3 16/9 15/8 2/1
Suggested keyboard mappings:
- Central C