music theory online : temperament & pitch calculatorlesson 27T
Dr. Brian Blood





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Universitas in modo citharae sit disposita, in qua diversa genera in modo chordarum sit consonantia.
(translation: The universe is arranged like a cithera, in which different kinds of things sound together harmoniously, just as they do in a chord.)
Honorius of Autun (died c. 1151) - medieval philosopher


temperament/tuning calculator in lesson 27 :: open interval calculator in a separate window


Analysis of published temperaments used in the temperament/tuning calculator in lesson 27
First, a warning. We have collected here data from a number of different sources and in some cases there is a lack of standardisation in the naming of temperaments - the various Werckmeister temperaments are but one example
In some data, the intervals have been rounded to the nearest cent. We have combined sources where they are giving essentially the same figures but to different degrees of accuracy, using the source that provides accurate data to the greatest number of decimal points. Readers who have information on other useful or interesting temperaments are encouraged to contact us
We treat D# at the top of the chain of 5ths as being of the same pitch-class as the Eb at the bottom. All the temperaments studied here have been designed so that this will be the case - all temperaments assume the octaves are pure (i.e. 2:1)
temperament/tuningpitch of a' (default value 440Hz)