Schismatic Temperament (Paperback)

High Quality Content by WIKIPEDIA articles! The schismatic temperament is a musical tuning system that results from tempering the schisma of 32805:32768 to a unison. It is also called the schismic temperament or Helmholtz temperament.The quarter-comma meantone temperament obtains the ratio 5:1 with four tempered fifths (so that the difference (3/2)4/5 = 81/80 is tempered out). The schismatic temperament is analogous; it obtains the ratio 10:1 with eight tempered fourths About this sound Play (help.info) (so that 10/(4/3)8 = 32805/32768 is tempered out). Meantone tunings are often described by what fraction of a syntonic comma the fifth has been flattened. In the same way, schismatic tunings can be described by what fraction of a schisma the fifth is flattened - or even sharpened.