World Library  
Flag as Inappropriate
Email this Article

Septimal quarter tone

Article Id: WHEBN0014613204
Reproduction Date:

Title: Septimal quarter tone  
Author: World Heritage Encyclopedia
Language: English
Subject: Harmonic seventh, Orwell comma, Neutral interval, Breedsma, Ragisma
Collection: 7-Limit Tuning and Intervals, Commas (Music), Quarter Tones, Superparticular Intervals
Publisher: World Heritage Encyclopedia

Septimal quarter tone

Octave minus septimal quarter-tone on C About this sound   .

A septimal quarter-tone (in music) is an interval with the ratio of 36:35 (About this sound   ), which is the difference between the septimal minor third (About this sound   ) and the Just minor third (About this sound   ), or about 48.77 cents wide. The name derives from the interval being the 7-limit approximation of a quarter tone. The septimal quarter-tone can be viewed either as a musical interval in its own right, or as a comma; if it is tempered out in a given tuning system, the distinction between the two different types of minor thirds is lost. The septimal quarter-tone may be derived from the harmonic series as the interval between the thirty-fifth and thirty-sixth harmonics.

Composer Ben Johnston uses a small seven ("7") as an accidental to indicate a note is lowered 49 cents, or an upside-down seven ("7 upside-down") to indicate a note is raised 49 cents.[1][2] The Maneri-Sims notation system designed for 72-et uses the accidentals and for a quarter-tone (36:35 or 48.77 cents) up and down.

The septimal quarter-tone is tempered out by twelve-tone equal temperament, but not in any of 19-TET, 22-TET, 24-TET, or 31-TET. 22-TET and 24-TET offer a very close match to the septimal quarter-tone.

Just harmonic seventh chord on C About this sound   .

The septimal quarter-tone is the difference between the just minor seventh and the harmonic seventh.


  1. ^ Douglas Keislar; Easley Blackwood; John Eaton; Lou Harrison; Ben Johnston; Joel Mandelbaum; William Schottstaedt. p.193. "Six American Composers on Nonstandard Tunnings", Perspectives of New Music, Vol. 29, No. 1. (Winter, 1991), pp. 176-211.
  2. ^ "Ben Johnston's Extended Just Intonation- A Guide for Interpreters", John Fonville, p.113, Perspectives of New Music, Vol. 29, No. 2 (Summer, 1991), pp. 106-137.
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, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for 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.