Kirnberger I

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