The Philosophical magazine; a journal of theoretical, experimental and applied physics . proposes a notation for this purpose, which, however, isunsuitable for use with musical symbols. The following notationis adopted for positive systems. (Perfect and approximately per-fectfifths are positive.) The fifths are arranged in series, each con- * Being an abstract of a paper read before the Musical Association,November 2, 18/4. Commuuicated by the Author. 508 Mr. R. II. M. Bosanquet on Temperament, tainiiig 12 fifths, from /# up to b. The series/:;-^ is called theunmarked series; the
The Philosophical magazine; a journal of theoretical, experimental and applied physics . proposes a notation for this purpose, which, however, isunsuitable for use with musical symbols. The following notationis adopted for positive systems. (Perfect and approximately per-fectfifths are positive.) The fifths are arranged in series, each con- * Being an abstract of a paper read before the Musical Association,November 2, 18/4. Commuuicated by the Author. 508 Mr. R. II. M. Bosanquet on Temperament, tainiiig 12 fifths, from /# up to b. The series/:;-^ is called theunmarked series; the next series of 12 fifths up is affected with themark {/), the next series of 12 fifths up \vith(//), and so on ; thefirst series down below the unmarked series with the mark (\),the next series down with (\\), and so on. Thus \e is 8 fifthsdown from c, and c-\e is approxin)ately a perfect third. Theerror of the third c-\e is about -l^j- of an E. T. semitone whenthe fifths are perfect. This notation is suitable for employment with written following passage is an example :—. The interval ^-\/is a close approximation to the harmonicseventh; /a\}-ft is rendered very smooth by the employmentof the same interval. A harmonium has been constiucted on which such passagescan be played, the form of the fingering being the same inall keys. The notation is also useful for the discussion of some systemsof historical interest. Thus we have a scale of F in Mersenne(1636) with eighteen notes to the octave. This possessed tiiefollowing resources :— Major chords of c-f-b\)-e\}, „ \e~\o-\d-\fj, thirds to the above, ,, /a\}-yd\)-Xf/\}, thirds below c-f-b\}. Minor chords of c-f-b\}-e\}, „ \e-\a-\d-\(/, thirds to the above, „ \ct-\f^-\\b, thirds to \a-\d-\</. We have here the two forms of second of the key, ij and \^,differing approximately by a comma. This double form appearsin all good attempts at systems with perfect fifths. Principle of symmetrical arrangement.—If we plac
Size: 3196px × 782px
Photo credit: © The Reading Room / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookids, bookpublisherlondontaylorfrancisetc, booksubjectphysics
