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- Q1639722 subject Q11704303.
- Q1639722 abstract "Werckmeister temperaments are the tuning systems described by Andreas Werckmeister in his writings. The tuning systems are confusingly numbered in two different ways: the first refers to the order in which they were presented as "good temperaments" in Werckmeister's 1691 treatise, the second to their labelling on his monochord. The monochord labels start from III since just intonation is labelled I and quarter-comma meantone is labelled II.The tunings I (III), II (IV) and III (V) were presented graphically by a cycle of fifths and a list of major thirds, giving the temperament of each in fractions of a comma. Werckmeister used the organbuilder's notation of ^ for a downwards tempered or narrowed interval and v for an upward tempered or widened one. (This appears counterintuitive - it is based on the use of a conical tuning tool which would reshape the ends of the pipes.) A pure fifth is simply a dash. Werckmeister was not explicit about whether the syntonic comma or Pythagorean comma was meant: the difference between them, the so-called schisma, is almost inaudible and he stated that it could be divided up among the fifths. The last "Septenarius" tuning was not conceived in terms of fractions of a comma, despite some modern authors' attempts to approximate it by some such method. Instead, Werckmeister gave the string lengths on the monochord directly, and from that calculated how each fifth ought to be tempered.".
- Q1639722 wikiPageExternalLink equaldivisionsoflength(edl).
- Q1639722 wikiPageExternalLink Index.html.
- Q1639722 wikiPageExternalLink 18th_Century_Quotes_on_J.S._Bachs_Temperament.
- Q1639722 wikiPageWikiLink Q1071523.
- Q1639722 wikiPageWikiLink Q1075846.
- Q1639722 wikiPageWikiLink Q1080022.
- Q1639722 wikiPageWikiLink Q11221917.
- Q1639722 wikiPageWikiLink Q1136653.
- Q1639722 wikiPageWikiLink Q11704303.
- Q1639722 wikiPageWikiLink Q12372854.
- Q1639722 wikiPageWikiLink Q12375546.
- Q1639722 wikiPageWikiLink Q1244890.
- Q1639722 wikiPageWikiLink Q1339.
- Q1639722 wikiPageWikiLink Q1412340.
- Q1639722 wikiPageWikiLink Q2368869.
- Q1639722 wikiPageWikiLink Q281460.
- Q1639722 wikiPageWikiLink Q540508.
- Q1639722 wikiPageWikiLink Q61162.
- Q1639722 wikiPageWikiLink Q723441.
- Q1639722 wikiPageWikiLink Q724178.
- Q1639722 wikiPageWikiLink Q752518.
- Q1639722 wikiPageWikiLink Q815323.
- Q1639722 wikiPageWikiLink Q836135.
- Q1639722 wikiPageWikiLink Q846648.
- Q1639722 wikiPageWikiLink Q858576.
- Q1639722 comment "Werckmeister temperaments are the tuning systems described by Andreas Werckmeister in his writings. The tuning systems are confusingly numbered in two different ways: the first refers to the order in which they were presented as "good temperaments" in Werckmeister's 1691 treatise, the second to their labelling on his monochord.".
- Q1639722 label "Werckmeister temperament".