Jump to content

File:Interval ratios in C-based asymmetric 5-limit tuning.PNG

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

Interval_ratios_in_C-based_asymmetric_5-limit_tuning.PNG (655 × 434 pixels, file size: 46 KB, MIME type: image/png)

Summary

Description
English: Frequency ratios of the 144 intervals in the C-based 5-limit tuning system (asymmetric scale). The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed using Microsoft Excel. The image was produced using Microsoft Excel and captured with Microsoft Snipping Tool.
Date
Source Own work
Author Paolo.dL
Other versions
File:144 intervals in 5-limit just intonation.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.

File:Interval ratios in C-based asymmetric 5-limit tuning.PNG → File:144 intervals in 5-limit just intonation.svg

For more information, see Help:SVG.

In other languages
Alemannisch  العربية  беларуская (тарашкевіца)  български  বাংলা  català  нохчийн  čeština  dansk  Deutsch  Ελληνικά  English  British English  Esperanto  español  eesti  euskara  فارسی  suomi  français  Frysk  galego  Alemannisch  עברית  hrvatski  magyar  հայերեն  Bahasa Indonesia  Ido  italiano  日本語  ქართული  한국어  lietuvių  македонски  മലയാളം  Bahasa Melayu  norsk bokmål  Plattdüütsch  Nederlands  norsk nynorsk  norsk  occitan  polski  prūsiskan  português  português do Brasil  română  русский  sicilianu  Scots  slovenčina  slovenščina  српски / srpski  svenska  தமிழ்  ไทย  Türkçe  татарча / tatarça  українська  vèneto  Tiếng Việt  中文  中文(中国大陆)  中文(简体)  中文(繁體)  中文(马来西亚)  中文(新加坡)  中文(臺灣)  中文(臺灣)  +/−
New SVG image

The frequency ratios selected for this 12-tone scale, and the elementary factors from which they were computed, are shown in this table:

Asymmetric scale
Factor 1/9 1/3 1 3 9
5 A
5/3
E
5/4
B
15/8
F♯
45/32
1 F
4/3
C
1
G
3/2
D
9/8
1/5 D♭
16/15
A♭
8/5
E♭
6/5
B♭
9/5

Wolf intervals are operationally defined herein as intervals composed of 3, 4, 5, 7, 8, or 9 semitones (i.e. major and minor thirds or sixths, perfect fourths or fifths, and their enharmonic equivalents) the size of which deviates by more than one syntonic comma (about 21.5 cents) from the corresponding justly intonated interval. Intervals made up of 1, 2, 6, 10, or 11 semitones (e.g. major and minor seconds or sevenths, tritones, and their enharmonic equivalents) are considered to be dissonant even when they are justly tuned, thus they are not marked as wolf intervals even when they deviate from just intonation by more than one syntonic comma.

Paolo.dL (talk) 11:08, 29 July 2010 (UTC)

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
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.
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.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

29 July 2010

File history

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

Date/TimeThumbnailDimensionsUserComment
current10:42, 19 August 2010Thumbnail for version as of 10:42, 19 August 2010655 × 434 (46 KB)Paolo.dLInserting names of commas (diaschisma, lesser diesis)
20:05, 29 July 2010Thumbnail for version as of 20:05, 29 July 2010655 × 434 (45 KB)Paolo.dLUsing as reference for minor sevenths the ratio 9/5 (C-Bb), rather than 16/9.
11:16, 29 July 2010Thumbnail for version as of 11:16, 29 July 2010655 × 434 (46 KB)Paolo.dLImproved color code. Also, the previous version showed the symmetric scale, rather than the asymmetric one.
23:43, 28 July 2010Thumbnail for version as of 23:43, 28 July 2010655 × 417 (44 KB)Paolo.dL{{Information |Description={{en|1=Frequency ratios of the 144 intervals in the C-based 5-limit tuning system (asymmetric scale). The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed using Microsoft

The following page uses this file: