The 'Hamburg' Temperament

This tuning was devised for the restored Schnitger organ in St Jakobi, Hamburg.  The following table shows the cent values of the scale:

 

Ab Eb Bb

F

C G D A E B F# C# G#

-3.1

+3.1

+7.4

+9.4

+7.0

+4.7

+2.4

0

-2.4

-4.7

-7.0

-5.1

-3.1

 

Seven fifths on the 'natural' keys F-C-G-D-A-E-B-F# are smaller than pure by 1/5 syntonic comma, three fifths are pure (f#-c#, c#-g# and f-bb), the fifth ab-eb is tempered by 1/5 syntonic comma and the fifth eb-a# is enlarged by 1/10 of a Pythagorean comma.

This temperament has been used in the organ at Greyfriars, Oxford, St Paul's, Deptford and St Giles-in-the-Fields.