World Library  
Flag as Inappropriate
Email this Article

Supermajor interval

Article Id: WHEBN0031220499
Reproduction Date:

Title: Supermajor interval  
Author: World Heritage Encyclopedia
Language: English
Subject: Major fourth, Subminor interval, Intervals (music), Orwell comma, Neutral interval
Collection: Intervals (Music)
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Supermajor interval

Septimal whole tone Play  .
Origin of large and small seconds and thirds in harmonic series.[1]

In music, a supermajor interval is a musical interval that is noticeably wider than a major interval but noticeably narrower than an augmented interval. It is found in between a major and augmented interval, thus making it above, or supermajor to, the major interval.

A supermajor second is intermediate to a major second and an augmented second. An example of such an interval is the ratio 8:7, or 231.17 cents,[1] the septimal whole tone and the inverse of the subminor seventh. Another example is the ratio 15:13, or 247.74 cents.

A supermajor third is in between a major third and an augmented third. An example of such an interval is the ratio 9:7, or 435.08 cents, the septimal major third. Another example is the ratio 50:39, or 430.14 cents.

A supermajor seventh is an interval intemediate between a major seventh and an augmented seventh. It is the inverse of a subminor second. An example of such an interval is the ratio 25:13, or 1132.10 cents. Another example is the ratio 27:14, or 1132.04 cents.

Composer Lou Harrison was fascinated with the 7:6 subminor third and 8:7 supermajor second, using them in pieces such as Concerto for Piano with Javanese Gamelan, Cinna for tack-piano, and Strict Songs (for voices and orchestra).[2] Together the two produce the 4:3 just perfect fourth (a supermajor second above a subminor third is the perfect fourth).[3]

See also

Sources

  1. ^ a b Leta E. Miller, ed. (1988). Lou Harrison: Selected keyboard and chamber music, 1937-1994, p.xliii. ISBN 978-0-89579-414-7.
  2. ^ Leta E. Miller, Fredric Lieberman (2006). Lou Harrison: American Composers, p.72. ISBN 978-0-252-03120-5.
  3. ^ Miller & Lieberman (2006), p.74. "The subminor third and supermajor second combine to create a pure fourth (87 x 76 = 43)."


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.