goombas.org
menu
main
links
all items
rss feed

Topics:
coding
games
goombas.org
horror
judgement
life
minutiae
music
rants
software
fool.
 _-
 oO
 |/
/|
/ \
Ugh, stop twitching
of a frightening discovery
music Posted 2001-03-10 10:05:12 by Jim Crawford
Working on an update of grapesynth (big changes, big bugs, doesn't run well on my P133, don't hold your breath), I've noticed a somewhat disturbing anomaly in the western style twelve-tone tuning system.

I've been making note calculations by multiplying each successive halftone by pow(2, 1.0/12). The twelfth root of two, in more readable terms. This has the effect of multiplying the frequency by two every octave.

After seven of these calculations, or a “perfect fifth,” the frequency is very near to 1.5 of the original. pow(pow(2, 1.0/12), 7) is about 1.4983. I know it's not a rounding error, because I've checked against several frequency tables, and they show the same anomaly.

I've heard that the perfect fifth interval is supposed to be a 3/2 difference in frequency, and it makes sense to me that the fewer cycles it takes for waves to match up, the better they would complement each other. Octaves take two cycles of the higher wave and only one of the lower; a “true” perfect fifth would take three and two; more dissonant intervals would take many more.

So what I'm saying is: something's very wrong here. I don't know what it is. Not having a background in conventional music theory, I don't know who to talk to about this scandal or even what questions to ask, So I've put this text on my web site for one to two people a month to look at. Here's hoping one of them is more familiar with this problem than I am.

[link to this] [See more on “music”]

comments
no subject
Posted by Anonymous (Jonh Smith) on 2017-12-05 15:07:54
Best Quickbooks Support Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Help @ https://www.quickbooksaccountingsolution.com/
Quickbooks Support @ https://www.quickbooksaccountingsolution.com/
Quickbooks Support Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Support Phone Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Tech Support Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Tech Support Phone Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Technical Support Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Technical Support Phone Number @ https://www.quickbooksaccountingsolution.com/
Quickbooks Customer Support Number @ https://www.quickbooksaccountingsolution.com/
no subject
Posted by Anonymous (Jonh Smith) on 2017-12-05 15:14:54
Best Sage Support Number @ https://www.sageaccountingsolution.com/
Sage Help @ https://www.sageaccountingsolution.com/
Sage Support @ https://www.sageaccountingsolution.com/
Sage Support Number @ https://www.sageaccountingsolution.com/
Sage Support Phone Number @ https://www.sageaccountingsolution.com/
Sage Tech Support Number @ https://www.sageaccountingsolution.com/
Sage Tech Support Phone Number @ https://www.sageaccountingsolution.com/
Sage Technical Support Number @ https://www.sageaccountingsolution.com/
Sage Technical Support Phone Number @ https://www.sageaccountingsolution.com/
Sage Customer Support Number @ https://www.sageaccountingsolution.com/
no subject
Posted by Anonymous (Jonh Smith) on 2017-12-05 15:31:55
Best Quicken Support Number @ https://www.quickenaccountingsolution.com/
Quicken Help @ https://www.quickenaccountingsolution.com/
Quicken Support @ https://www.quickenaccountingsolution.com/
Quicken Support Number @ https://www.quickenaccountingsolution.com/
Quicken Support Phone Number @ https://www.quickenaccountingsolution.com/
Quicken Tech Support Number @ https://www.quickenaccountingsolution.com/
Quicken Tech Support Phone Number @ https://www.quickenaccountingsolution.com/
Quicken Technical Support Number @ https://www.quickenaccountingsolution.com/
Quicken Technical Support Phone Number @ https://www.quickenaccountingsolution.com/
Quicken Customer Support Number @ https://www.quickenaccountingsolution.com/
add a comment
Only anonymous comments are available for now until I get the user system up and running again. Not many people were logging in anyway, so enh.
Permitted HTML tags: <b>, <i>, <u>, <tt>. Also permitted is the <q> pseudo-tag which is meant to delimit quotes from other messages.
name:
email:
subject:
body:
Preview
To prove you are sentient, please type "sentient" into this box

what's this?
This is Jim Crawford's blog. Details and contact information.

On Twitter: @mogwai_poet

recent comments
Great Review (Anonymous on may 2013 microblog digest)
Outlook Support Phone Number (Anonymous on take a key for coming in)
Aol Support Phone Number (Anonymous on take a key for coming in)
Sage Support Phone Number (Anonymous on take a key for coming in)
Quicken Support Phone Number (Anonymous on take a key for coming in)
Quickbooks Technical Support Phone Number (Anonymous on take a key for coming in)
http://outlook
tech.supportph
one-number.com
/ (Anonymous on take a key for coming in)
Aol Support Number (Anonymous on take a key for coming in)
Sage Support Number (Anonymous on take a key for coming in)
Quicken Support Number (Anonymous on take a key for coming in)
QuickBooks Support Number (Anonymous on take a key for coming in)
Do you know how to get Sage 50 Support (Anonymous on comments are back)
Do you know how to get Sage 50 Support (Anonymous on eye-tracking)
Packers And Movers Bangalore Local Shifting Charges (Anonymous on may 2014 microblog digest)
ISO 9001 Certification in Bangalore (Anonymous on eye-tracking)
Comments RSS