The author presents an analysis of the structure of irregular temperaments, with special emphasis on well-temperaments or circulating temperaments. Roughly 200 scales are examined, of which about a third are historical and the rest are original to the author. A systematic method is presented for the conversion of various regular temperaments (meantone temperaments) into circulating temperaments. Thus the historical material is embedded within the wider context of scalar architecture. The aim is an overview, leading to the understanding and control of design characteristics.
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