Jump to content

File:Dissonance-a220-a440-notated.jpg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (1,616 × 708 pixels, file size: 626 KB, MIME type: image/jpeg)

Description
English: This graph shows a spectral analysis of two tones as they diverge from unison to octave.
Ogg Vorbis audio file corresponding to the spectral analysis of the two diverging tones

The spectral analysis shows two sinusoidal tones. The tones remain in unison (220Hz) for the first two seconds of the graph. From the 2nd through the 30th second, the upper tone moves linearly upwards from 220Hz to 440 Hz, while the lower tone remains at 220Hz. For the final two seconds of the graph, the tones remain stable at one octave (220Hz and 440Hz).

On this graph, darker colors indicate frequencies that are stronger. The two fundamental tones are indicated by the two darkest lines near the bottom of the graph. Overtones are indicated by the lines and patterns above these two lines.

When the frequency ratio between the two tones approaches a simple fraction (3:2, 4:3, 5:4, etc.), the overtone pattern above the two tones at that point converges to a simpler and stronger pattern. Most listeners perceive these as points of greater "purity" or "harmoniousness" in the sound. It is generally considered that these are points of greater consonance, and in general the lower the numbers that are involved in the ratio, the greater the consonance. For instance, a 3:2 interval would be considered more consonant than a 4:3 interval, which itself would be more consonant than a 5:4 interval, and so on.

A few of the strongest points of consonance are indicate by arrows and the ratio between the frequencies of the upper tone and the lower tone is indicated.

On the graph it can be observed that there is a general correlation between the ratio of the frequencies involved and the number and spacing of the overtones that correspond to those ratios.

In between the points where the two tones approach a simple fraction (and thus are generally considered to be relatively consonant), the overtone picture on the graph appears more chaotic and jumbled. Most listeners hear a "roughness" or "disharmony" in the sound at these points. It is generally considered that these are points of greater dissonance.

Musical intervals made by the two tones are indicated at the appropriate points. Note that the exact placement of these intervals varies, depending on the tuning system used. In particular, under equal temperament the intervals m3 and m6 lie partway between the two arrows indicated.
Date
Source This file created by Brent Hugh using Cool Edit Pro ver 1.2a.
Author Brent Hugh
Permission
(Reusing this file)
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. Subject to disclaimers.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. Subject to disclaimers.
Other versions pt alternate: File:Dissonancia-a220-a440.jpg, Image:Dissonance-a220-a440-notated.jpg, File:Dissonance-a220-a440-slide.ogg, File:Dissonance-a220-a440-slide-sawtooth.ogg, File:Dissonance A220-A440 bandlimited sawtooths dBV2.png

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

30 August 2004

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current15:04, 6 January 2007Thumbnail for version as of 15:04, 6 January 20071,616 × 708 (626 KB)Penpen~commonswiki{{:en:Image:Dissonance-a220-a440-notated.jpg}}
No pages on the English Wikipedia use this file (pages on other projects are not listed).

Metadata