Centitone

A centitone (also Iring) is a musical interval (21/600) of two cents (22/1200)[1] proposed as a unit of measurement ( Play ) by Widogast Iring in Die reine Stimmung in der Musik (1898) as 600 steps per octave and later by Joseph Yasser in A Theory of Evolving Tonality (1932) as 100 steps per equal tempered whole tone.

Iring noticed that the Grad/Werckmeister (1.96 cents, 12 per Pythagorean comma) and the schisma (1.95 cents) are nearly the same (≈ 614 steps per octave) and both may be approximated by 600 steps per octave (2 cents).[2] Yasser promoted the decitone, centitone, and millitone (10, 100, and 1000 steps per whole tone = 60, 600, and 6000 steps per octave = 20, 2, and 0.2 cents).[3][4]

For example: Equal tempered perfect fifth = 700 cents = 175.6 savarts = 583.3 millioctaves = 350 centitones.[5]

Centitones Cents
1 centitone 2 cents
0.5 centitone 1 cents
21/600 22/1200
50 per semitone 100 per semitone
100 per whole tone 200 per whole tone

See also

Sources

  1. ↑ Randel, Don Michael (1999). The Harvard Concise Dictionary of Music and Musicians, p.123. ISBN 9780674000841. Randel, Don Michael (2003). The Harvard Concise Dictionary of Music and Musicians, p.154 & 416. ISBN 9780674011632.
  2. ↑ "Logarithmic Interval Measures", Huygens-Fokker.org.
  3. ↑ Yasser, Joseph (1932). A Theory of Evolving Tonality, p.14. American Library of Musicology.
  4. ↑ Farnsworth, Paul Randolph (1969). The Social Psychology of Music, p.24. ISBN 9780813815473.
  5. ↑ Apel, Willi (1970). Harvard Dictionary of Music, p.363. Taylor & Francis.
This article is issued from Wikipedia - version of the Wednesday, July 29, 2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.