World Library  
Flag as Inappropriate
Email this Article

Semicomma

Article Id: WHEBN0003208066
Reproduction Date:

Title: Semicomma  
Author: World Heritage Encyclopedia
Language: English
Subject: List of pitch intervals, Commas (music), Orwell comma, Breedsma, Neutral interval
Collection: 5-Limit Tuning and Intervals, Commas (Music)
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Semicomma

Semicomma on C About this sound Play  .

The semicomma,[1] also Fokker's comma (after 31-TET pioneer Adriaan Fokker), is type of small musical interval, or comma, in microtonal music equivalent to 2109375:2097152,[1] or 3^3\cdot5^7:2^{21}. This is a ratio of approximately 1:1.0058283805847168, or about 10.06 cents[2] (About this sound Play  ). It is derived from the difference in pitch between three 75/64 just augmented seconds (About this sound Play just augmented second  ) and one 8/5 just minor sixth (About this sound Play minor sixth  ) begun on the same root ((3 × 274.58) - (1 × 813.69) = 823.74 - 813.69 = 10.05 cents).[3]

See also

Sources

  1. ^ a b Haluska, Jan (2003). The Mathematical Theory of Tone Systems, p.xxix. ISBN 80-88683-28-9.
  2. ^ "List of Intervals", Huygens-Fokker.org.
  3. ^ "Semicomma", Xenharmonic.
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.