Kirnberger I: Difference between revisions

BudjarnLambeth (talk | contribs)
This used to be a redirect to Pythagorean, but Kirnberger I is not the same as Pythagorean so I changed it to an actual page
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Kirnberger I is very similar to [[Pythagorean]] 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]].
'''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>
! 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
</pre>
 
Suggested keyboard mappings:
* Central C
 
[[Category:Pages with Scala files]]
[[Category:12-tone scales]]
[[Category:Well temperaments]]
[[Category:Just intonation scales]]
[[Category:Historical]]
[[Category:Kirnberger]]