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.


<pre>
<pre>
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Kirnberger's well temperament, also called Kirnberger I.
Kirnberger's well temperament, also called Kirnberger I.
12
12
!
!
!
!
135/128
135/128
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2/1
2/1
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</pre>
Suggested keyboard mappings:
* Central C


[[Category:Pages with Scala files]]
[[Category:Pages with Scala files]]
[[Category:12-tone scales]]
[[Category:12-tone scales]]
[[Category:Tempered scales]]
[[Category:Well temperaments]]
[[Category:Well temperaments]]
[[Category:Just intonation scales]]
[[Category:Historical]]
[[Category:Historical]]
[[Category:Kirnberger]]
[[Category:Kirnberger]]