File:Neighbouring triads spiral.svg

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (SVG file, nominally 613 × 612 pixels, file size: 140 KB)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
Description
This file uses duodecimal digits for the keys.

The 24 triads on the piano keyboard, arranged in a circle with key numbers from 0 to 11

Major triads start and end with red keys, minor triads with blue keys.
Major thirds are represented by slightly thicker gray lines.
Black keys have a gray background.

The tonnetz also shows the neighbouring triads, but also the parallels.

A left minor and a right major triad are relatives (R), like a/C.
A left major and a right minor triad are leading-lone exchanges (L), like F/a or C/e.

Modulo 12 the numbers have the following properties:
Those horizontally symmetric add up to 0, e.g. 4 + 8 = 12 = 0.
Those vertically symmetric add up to 6, e.g. 4 + 2 = 6.
Those opposite each other have the difference 6, e.g. 10 − 4 = 6.

This diagram contains the circle of fifths, which is better seen in the tilted version shown below.
Source Own work
Author
Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
Other versions
Circle of fifths

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

File history

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

Date/TimeThumbnailDimensionsUserComment
current01:19, 11 July 2014Thumbnail for version as of 01:19, 11 July 2014613 × 612 (140 KB)Watchduck (talk | contribs){{Information |Description ={{en|1=The 24 triads on the piano keyboard, arranged in a circle with (duodecimal) key numbers from zero to eleven Major triads start and end with red keys, minor triads with blue keys.<br> Major thirds...

You cannot overwrite this file.

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:Neighbouring_triads_spiral.svg&oldid=723381089"