Supporting material for paper:
D. Tidhar, S. Dixon, E. Benetos, and T. Weyde, “The Temperament Police”, Early Music, 42(4):579-590, November 2014.
Presentation slides from The Temperament Police presentation at the Final DML Workshop.
Temperament profiles used in the paper.
(profiles are specified as deviations in cents from equal temperament)
Temperament | Nickname (internal) | C | C# | D | Eb | E | F | F# | G | Ab | A | Bb | B |
Bach/Lehman | lehman | 5.86 | 3.91 | 1.95 | 3.91 | -1.95 | 7.82 | 1.95 | 3.91 | 3.91 | 0 | 3.91 | 0 |
Equal temperament | et | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Fifth comma | fifth | 8.21 | -1.56 | 2.73 | 2.35 | 1.95 | 6.26 | -3.52 | 5.47 | 0.39 | 0 | 04.3 | -0.78 |
Fifth comma meantone (wolf G#-Eb) |
fcmtGE | 7.04 | -9.34 | 2.35 | 14.08 | -2.35 | 9.38 | -7.04 | 4.69 | -11.73 | 0 | 11.73 | -4.69 |
Just intonation | just | 15.64 | -13.69 | -1.95 | -9.78 | 1.95 | 13.69 | -15.64 | 17.56 | -11.73 | 0 | 11.73 | 3.91 |
Kellner | kellner | 8.21 | -1.56 | 2.74 | 2.35 | -2.74 | 6.26 | -3.52 | 5.47 | 0.39 | 0 | 4.3 | -0.78 |
Kirnberger II | kirnberger2 | 5.86 | -3.91 | 9.77 | 0 | -9.77 | 3.91 | -5.86 | 7.82 | -1.95 | 0 | 1.95 | -7.82 |
Kirnberger III | kirnberger3 | 11.73 | 1.95 | 3.91 | 5.86 | -3.91 | 9.77 | 0 | 7.82 | 3.91 | 0 | 7.82 | -1.95 |
Neidhart 1724 V1 | neidhardt1 | 5.86 | 1.95 | 1.95 | 3.91 | 0 | 3.91 | 1.95 | 3.91 | 1.95 | 0 | 3.91 | 1.95 |
Neidhart 1724 V2 | neidhardt2 | 5.86 | 0 | 1.95 | 1.95 | -1.95 | 3.91 | -1.95 | 3.91 | 0 | 0 | 1.95 | -1.95 |
Neidhart 1724 V3 | neidhardt3 | 5.86 | 0 | 1.95 | 1.95 | -1.95 | 3.91 | -1.95 | 3.91 | 1.95 | 0 | 1.95 | -1.95 |
Quarter comma meantone (wolf G#-Eb) | qcmtGE | 10.26 | -13.69 | 3.42 | 20.53 | -3.42 | 13.69 | -10.26 | 6.84 | -17.11 | 0 | 17.11 | -6.84 |