Manual

3.4 PRE- SETTING OF CENT IN HISTORICAL TEMPERAMENTS

The following tables are permanently stored in the Tuning Set CTS-5

Number 00 Equal Temperament (normal adjustment)

Number 01 Kirnberger-III

Number 02 Werckmeister-III

Number 03 Meantone

Number 04 Neidhard (1724)

Number 05 Neidhard (1729)

Number 06 Valotti

Number 07 Silbermann

Number 08 Silbermann (P.Vier)

Number 09 Bruder (P.Vier)

Number 10 Bach (Barnes)

Number 11 Bach (Kellner)

Number 12 Rameau

Number 13 Lambert(1774)

Number 14 Young (1800)

Number 15 Schlick(H.Vogel)

Number 16 Pythagorean

a bb b c c# d d# e f f# g g#

01 0 +6.5 -1.5 +10.5 +0.5 +3.5 +4.5 -3.5 +8.5 +0.5 +7.0 +2.5

02 0 +7.5 +4.0 +12.0 +2.0 +4.0 +6.0 +2.0 +9.5 0 +8.0 +4.0

03 0 +17.5 -7.0 +10.5 -13.5 +2.5 +20.5 -3.5 +13.5 -10.0 +7.0 -17.0

04 0 +4.0 +2.0 +6.0 +2.0 +2.0 +4.0 0 +4.0 +2.0 +2.0 +2.0

05 0 +6.0 +2.0 +6.0 +2.0 +2.0 +4.0 0 +6.0 +2.0 +4.0 +2.0

06 0 +6.0 -4.0 +6.0 0 +2.0 +4.0 -2.0 +8.0 -2.0 +4.0 +2.0

07 0 +10.0 -4.0 +6.0 -8.0 +2.0 +12.0 -2.0 +8.0 -6.0 +4.0 -9.5

08 0 +6.0 -4.0 +6.0 -4.0 +2.0 0 -2.0 +8.0 -6.0 +4.0 -2.0

09 0 +1.0 -5.0 +3.0 -2.0 +5.0 0 -6.0 +2.0 -3.5 +4.5 -1.0

10 0 +6.0 0 +6.0 0 +2.0 +4.0 -2.0 +8.0 -2.0 +4.0 +2.0

11 0 +4.0 -1.0 +8.0 -1.5 +2.5 +2.5 -2.5 +6.0 -3.5 +5.5 +0.5

12 0 +8.0 -8.0 +11.5 -4.0 +4.0 0 -4.0 +15.5 -6.0 +8.0 -2.0

13 0 +3.5 -3.0 +4.0 -2.0 +1.5 +2.0 -1.5 +6.0 -4.0 +3.0 -0.5

14 0 +2.0 -4.0 +6.0 -4.0 +2.0 0 -2.0 +4.0 -6.0 +4.0 -2.0

15 0 +9.0 -5.5 +8.0 -6.5 +2.5 +2.5 -3.0 +11.0 -8.0 +5.5 -4.5

16 0 -10.0 +4.0 -6.0 +8.0 -2.0 -12.0 +2.0 -8.0 +6.0 -4.0 +9.5

3.4.1 THE CENT-RELATION FUNCTION

All temperament tables in the CTS-5 (including the self stored one) are calculated so that the cent

deviation of the tone "a" is zero. We may say that "a" is the "cent relation tone". Sometimes other

cent relation tones will be required. If you use a cent relation tone other than "a" on the CTS-5,

every cent deviation value in the current temperament table will be increased or decreased by the

same value, so that the cent relation tone will have the cent deviation value zero.

Example: