World Library  
My Account |  Register |  Help  
  
Flag as Inappropriate
Email this Article

Septimal diesis

Article Id: WHEBN0014613149
Reproduction Date:

Title: Septimal diesis  
Author: World Heritage Encyclopedia
Language: English
Subject: Septimal third tone, Commas (music), Orwell comma, Neutral interval, Ragisma
Collection:
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Septimal diesis

Septimal diesis on C About this sound   .

In music, septimal diesis (or slendro diesis) is an interval with the ratio of 49:48 About this sound   , which is the difference between the septimal whole tone and the septimal minor third. It is about 35.7 cents wide, which is narrower than a quarter-tone but wider than the septimal comma. It may also be the ratio 36:35,[1][2][3] or 48.77 cents. About this sound   

In equal temperament

In 12 equal temperament this interval is not tempered out; septimal whole tone and septimal minor third are replaced by normal whole tone and minor third. This makes the diesis a semitone, about three times its "correct" size. The septimal diesis is tempered out by a number of equally-tempered tuning systems, including 19-ET and 24-ET; these tunings do not distinguish between the septimal whole tone and septimal minor third. It is not tempered out however by 22-ET or 31-ET (or indeed any equal temperament with at least 30 steps).

See also

References

  1. ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxv. ISBN 978-80-88683-28-5.
  2. ^ "Stichting Huygens-Fokker: List of intervals". Huygens-fokker.org. Retrieved 2013-10-18. 
  3. ^ "Wendy Carlos Beta scale". Microtonal-synthesis.com. Retrieved 2013-10-18. 
Numbers in brackets are the number of semitones in the interval.
Fractional semitones are approximate.
Twelve-
semitone
(Western)
Perfect
Other
systems
Other
intervals
Groups
Measurement
Others
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 



Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.