Compositions

Compendium Musica


The Appendices to the Compendium Musica.


Tunings and Temperaments


16 Equal Meantone Temperaments
(2015) Harpsichord / Organ / Piano

There are 6 sets of the 16 Equal Meantone Temperaments for three different instruments in both major and minor keys. For clear comparison the same simple Minuet (written long ago) repeats for each different Equal Meantone Temperament. On the Harpsichord we hear the temperaments with a bright short sound, on the organ with a sustained sound. In contrast to these two instruments we can hear how muted the higher overtones of a piano are. This is one of a few different reasons why a piano can bear 12 note equal temperament and still sound somewhat decently in tune!

It is easy to hear the difference between the 16 Equal Meantone Temperaments at either end of each set. In the middle it is very hard to distinguish one temperament from the other. The overall range of the tempered fifth is between -7.22 cents flat from just and just which is around 1/14 of a semitone! Such a huge amount of work for such a small difference! For quick comparison of the different Equal Meantone Temperaments click the YT link.

16 Equal Meantone Temperaments
0:00 ~ 19ET
0:45 ~ 1/3 Syntonic Comma
1:30 ~ Almost 5/17 Syntonic Comma
2:15 ~ Equal Harmony 1 (almost 2/7 Syntonic Comma)
3:00 ~ Equal Harmony 2 (almost 2/7 Syntonic Comma) (50ET)
3:45 ~ 1/4 Syntonic Comma
4:30 ~ 31ET
5:15 ~ Almost 2/9 Syntonic Comma
6:00 ~ Almost 1/5 Ditonic Comma
6:45 ~ Almost 1/5 Syntonic Comma
7:30 ~ 43ET
8:15 ~ 1/6 Holdrian Comma
9:00 ~ 4/25 Syntonic Comma
9:45 ~ 12ET
10:30 ~ Pythagorean Just Fifth (53ET)
11:15 ~ Enharmonic Pythagorean Just Fifth (53ET)

16 Equal Meantone Temperaments
Harpsichord G+: Mp3 (12:00) (16.4MB) ~ Score ~ YT

16 Equal Meantone Temperaments
Harpsichord G-: Mp3 (12:00) (16.4MB) ~ Score ~ YT

16 Equal Meantone Temperaments
Organ G+: Mp3 (12:00) (16.4MB) ~ Score ~ YT

16 Equal Meantone Temperaments
Organ G-: Mp3 (12:00) (16.4MB) ~ Score ~ YT

16 Equal Meantone Temperaments
Piano G+: Mp3 (12:00) (16.4MB) ~ Score ~ YT

16 Equal Meantone Temperaments
Piano G-: Mp3 (12:00) (16.4MB) ~ Score ~ YT