Musicalische Temperatur

Werckmeister’s famous treatise, in which he describes his six numbered tunings, “Werckmeister I” through “VI”.

1983

ISBN 90-70907-02-X (paper)

64 + XVI + 98 pp. - 2 folded leaves of plates

15 x 21 cm

€30 or US$30

Preface	7

Introduction
Short biography	8
The Musicalische Temperatur: General aspects	11
The Musicalische Temperatur: Contents	14
Interval theory	17
The monochord	19
Werckmeister I: multiple-division just intonation	21
Werckmeister II: meantone tuning	25
Werckmeister III	26
Werckmeister IV	30
Werckmeister V	32
Werckmeister VI: the septenarius tunings	33
Equal temperament	34
Conclusion	34

Analyses of Werckmeister’s tunings
Introduction	37
Table I. Werckmeister I	39
Table II. Chromatic scale of Werckmeister III	40
Table III. Temperings of Werckmeister III	40
Table IV. Frequencies and beat frequencies of Werckmeister III	41
Table V. Chromatic scale of Werckmeister IV	42
Table VI. Temperings of Werckmeister IV	42
Table VII. Frequencies and beat frequencies of Werckmeister IV	43
Table VIII. Chromatic scale of Werckmeister V	44
Table IX. Temperings of Werckmeister V	44
Table X. Frequencies and beat frequencies of Werckmeister V	45
Table XI. Chromatic scale of Werckmeister VI	46
Table XII. Temperings of Werckmeister VI	46

Bibliography	47

Main misprints of the Musicalische Temperatur	52

Table of contents	55

Index of the Musicalische Temperatur	58


ANDREAS WERCKMEISTER, MUSICALISCHE TEMPERATUR	I–XVI, 1–96

Andreas Werckmeister