electro-music.com   Dedicated to experimental electro-acoustic
and electronic music
 
    Front Page  |  Articles  |  Radio
 |  Media  |  Forum  |  Wiki  |  Links  |  Store
Forum with support of Syndicator RSS
 FAQFAQ   CalendarCalendar   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   LinksLinks
 RegisterRegister   ProfileProfile   Log in to check your private messagesLog in to check your private messages   Log inLog in  Chat RoomChat Room 
Live streaming at radio.electro-music.com

  host / artist show at your time
<on air> mosc Back on the air tonight - Twyndyllyngs
Please visit the chat
 Forum index » How-tos » Manuals, Instructions, and Documents
Mystery of the Minor Chord
Post new topic   Reply to topic
Page 1 of 1 [4 Posts]
View unread posts
View new posts in the last week
Mark the topic unread :: View previous topic :: View next topic
Author Message
Tony Deff



Joined: May 25, 2008
Posts: 42
Location: Suffolk, UK

PostPosted: Sun Feb 03, 2013 12:12 pm    Post subject: Mystery of the Minor Chord
Subject description: an interesting new viewpoint
Reply with quote  Mark this post and the followings unread

Seeing the references to Musical Mathematics and Music - a mathematical offering on this forum, reminded me of a time I played detective with the mathematics of chords.

I was too ill to move around and so bored out of my skull that I got to doodling with chord ratios.
I had long known, as is common knowledge, that the major chord is (or, at least, should be) the ratio 4:5:6.
I had also known, as is not uncommon knowledge, that the minor chord is the ratio 10:12:15.

I think you would agree with me that the minor chord is the next most concordant cluster of notes to a major chord, but why should that be?
That would mean that 10:12:15 is the next simplest ratio to 4:5:6, wouldn't it?

It is easy to deduce that 5:6:7 is Nature's diminished chord (from the top of a Just seventh chord — and one not available from tempered scales).
As to what 6:7 and 7:8 sounded like, I built switchable dividers to listen to these ratios.
I could convince myself that 7:8 was acting as a whole tone, and that 6:7 was a form of minor third.

So, where does that leave 10:12:15?

A musical apple dropped on my head when I realised that a major chord upward from a note is "mirrored" downward from the same note. I calculated the reciprocal of 10:12:15. It comes to 180:150:120 = 6:5:4

That is, a minor chord is the reciprocal of a major chord! (Not many people know that.)


Minor mystery, solved.png
 Description:
On close inspection of the ratios, the mystery is easily solved.
 Filesize:  22.31 KB
 Viewed:  66 Time(s)
This image has been reduced to fit the page. Click on it to enlarge.

Minor mystery, solved.png


Back to top
View user's profile Send private message
Blue Hell
Site Admin


Joined: Apr 03, 2004
Posts: 20623
Location: The Netherlands, Enschede
Audio files: 150
G2 patch files: 318

PostPosted: Sun Feb 03, 2013 12:50 pm    Post subject: Reply with quote  Mark this post and the followings unread

I didn't know it - interesting!
_________________
Jan
Back to top
View user's profile Send private message Visit poster's website
Antimon



Joined: Jan 18, 2005
Posts: 3730
Location: Sweden
Audio files: 275
G2 patch files: 96

PostPosted: Wed Feb 13, 2013 11:12 am    Post subject: Reply with quote  Mark this post and the followings unread

thinking salut
_________________
Antimon's Window
@soundcloud @Flattr home - you can't explain music
Back to top
View user's profile Send private message Visit poster's website
Tony Deff



Joined: May 25, 2008
Posts: 42
Location: Suffolk, UK

PostPosted: Wed Feb 13, 2013 3:46 pm    Post subject: Reply with quote  Mark this post and the followings unread

Antimon wrote:
- you can't explain music

You can't explain what some people call music.
Back to top
View user's profile Send private message
Display posts from previous:   
Post new topic   Reply to topic
Page 1 of 1 [4 Posts]
View unread posts
View new posts in the last week
Mark the topic unread :: View previous topic :: View next topic
 Forum index » How-tos » Manuals, Instructions, and Documents
Jump to:  

You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum
You cannot attach files in this forum
You can download files in this forum
e-m mkii

Please support our site. If you click through and buy from
our affiliate partners, we earn a small commission.


Forum with support of Syndicator RSS
Powered by phpBB © 2001, 2005 phpBB Group
Copyright © 2003 through 2009 by electro-music.com - Conditions Of Use