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

Neutral seventh

Article Id: WHEBN0023671364
Reproduction Date:

Title: Neutral seventh  
Author: World Heritage Encyclopedia
Language: English
Subject: Orwell comma, Ragisma, Major limma, Fifteenth, Supermajor interval
Collection:
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Neutral seventh

Neutral seventh
Inverse neutral second
Name
Other names -
Abbreviation n7
Size
Semitones ~10½
Interval class ~1½
Just interval 11:6,[1] 64:35,[2] or 24:13
Cents
Equal temperament 1000 or 1100
Just intonation 1049, 1045, or 1061
Neutral seventh on C About this sound   .

A neutral seventh is a    . Four distinct intervals may be termed neutral sevenths:

  • A septimal neutral seventh About this sound    has a ratio of 64:35 or about 1045 cents.
  • The just undecimal neutral seventh has a ratio of 11:6 between the frequencies of the two tones,[3] or about 1049 cents About this sound   . Alternately, 13:7[3] or about 1071.7 cents.
  • A tridecimal neutral seventh About this sound    has a ratio of 24:13 between the frequencies of the two tones, or about 1061 cents. This is the largest neutral seventh, and occurs infrequently in music, as little music utilizes the 13th harmonic.
  • An equal-tempered neutral seventh About this sound    is characterized by a difference in 1050 cents between the two tones, a hair larger than the 11:6 ratio, and exactly half of an equal-tempered major thirteenth (octave plus major sixth).

These intervals are all within about 12 cents and are difficult for most people to distinguish. Neutral sevenths are roughly a quarter tone sharp from 12 equal temperament minor sevenths and a quarter tone flat from 12-ET major sevenths. In just intonation, as well as in tunings such as 31-ET, 41-ET, or 72-ET, which more closely approximate just intonation, the intervals are closer together.

A neutral seventh can be formed by stacking a neutral third together with a perfect fifth. Based on its positioning in the harmonic series, the undecimal neutral third implies a root one perfect fifth below the lower of the two notes.

See also

Sources

  1. ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxiii. ISBN 0-8247-4714-3. 21/4-tone, undecimal neutral seventh.
  2. ^ Haluska (2003), p.?. Septimal neutral seventh.
  3. ^ a b Andrew Horner, Lydia Ayres (2002). Cooking with Csound: Woodwind and Brass Recipes, p.131. ISBN 0-89579-507-8.
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.