Vort Posted December 12, 2018 Report Share Posted December 12, 2018 how a Fourier series works? Of course you have. Who hasn't? Well, here you go. Elegant, brilliant, and less than ten minutes long. (And that includes the in-video ad.) mordorbund and Jamie123 2 Quote Link to comment Share on other sites More sharing options...
Guest Posted December 12, 2018 Report Share Posted December 12, 2018 1 minute ago, Vort said: how a Fourier series works? Why doesn't anyone want to see a five-year series? Quote Link to comment Share on other sites More sharing options...
Vort Posted December 12, 2018 Author Report Share Posted December 12, 2018 4 minutes ago, Carborendum said: Why doesn't anyone want to see a five-year series? NeuroTypical, The Folk Prophet and Jamie123 1 2 Quote Link to comment Share on other sites More sharing options...
anatess2 Posted December 12, 2018 Report Share Posted December 12, 2018 WHOA! I LOVE THAT AD! I finally found a cool video with a cooler ad. I'm getting a few for my kin! Vort 1 Quote Link to comment Share on other sites More sharing options...
Vort Posted December 12, 2018 Author Report Share Posted December 12, 2018 1 minute ago, anatess2 said: WHOA! I LOVE THAT AD! I finally found a cool video with a cooler ad. I'm getting a few for my kin! Do you love it...FIVE-ever? anatess2 1 Quote Link to comment Share on other sites More sharing options...
The Folk Prophet Posted December 12, 2018 Report Share Posted December 12, 2018 On a much more simplistic level, this reminds me of the way they taught Aug 6th chords in school vs. when I actually had the "aha" moment and realized how they really work. Quote Link to comment Share on other sites More sharing options...
Vort Posted December 12, 2018 Author Report Share Posted December 12, 2018 Just now, The Folk Prophet said: On a much more simplistic level, this reminds me of the way they taught Aug 6th chords in school vs. when I actually had the "aha" moment and realized how they really work. So don't leave us hanging! Tell us! How DO augmented sixth (or maybe August 6) chords work? Quote Link to comment Share on other sites More sharing options...
The Folk Prophet Posted December 12, 2018 Report Share Posted December 12, 2018 Just now, Vort said: So don't leave us hanging! Tell us! How DO augmented sixth (or maybe August 6) chords work? The tri-tone resolves backwards. Quote Link to comment Share on other sites More sharing options...
Vort Posted December 12, 2018 Author Report Share Posted December 12, 2018 Just now, The Folk Prophet said: The tri-tone resolves backwards. Unpack, please. (Seriously. I want to know.) Quote Link to comment Share on other sites More sharing options...
The Folk Prophet Posted December 12, 2018 Report Share Posted December 12, 2018 (edited) 32 minutes ago, Vort said: Unpack, please. (Seriously. I want to know.) So let's take the key of C for ease's sake: A dominant V7 chord has the notes G, B, D, F in it. The B to the F is a tri-tone. A tri-tone is the one interval in the 12 options that is exactly half way. That means it's exactly the same upside-down as it is right side up. In other words, a 4th upside down becomes a 5th. A 3rd becomes a 6th, etc., but a tri-tone becomes a tri-tone. It's the same interval either way. The tri-tone causes strong dissonance that the ear likes to hear resolved. The dominant chord is enhanced by that addition of a flated 7, which, among other things, creates a tri-tone between the 3rd and the flat 7. In a dominant chord it resolves inward (in 1st inversion). So in our chord - G, B, D, F - the B goes a half step up to the C and then F goes a half step down to the E - resolving to the Tonic - C, E, G. The Augmented 6th chord is the exact same structure (with variation, depending on type) as a dominant 7 chord. Aug 6 is the same as Flat 7, if you follow. What makes an Aug 6 chord an Aug 6 chord instead of a Flated 7 (Dominant 7) chord is the way the tri-tone is resolved. Because you can turn it upside down and it's the same notes, but then you still resolve it inward by a half step -- but now it goes to different notes: The F goes up a half step to the F# and the B goes down a half step to a Bb. In practice, that means that the reverse resolution goes to a chord a half-step below where the Aug 6th was, and instead of acting like a Dominant chord it acts like a alternative to a Sub-Dominant* chord. Explaining the "feel" of Dominant vs. Sub-Dominant is a bit like explaining how Salt tastes though. *Edit: Wikipedia used the term "predominant" Edited December 12, 2018 by The Folk Prophet Vort and MrShorty 2 Quote Link to comment Share on other sites More sharing options...
Jamie123 Posted December 12, 2018 Report Share Posted December 12, 2018 It's epicycles!!! (I remember seeing somewhere a video showing how you could give a planet a Mickey Mouse shaped orbit with enough epicycles - no time now 'coz I have to go and see my daughter play in Legally Blonde - but I'll look for it later!) Vort 1 Quote Link to comment Share on other sites More sharing options...
anatess2 Posted December 12, 2018 Report Share Posted December 12, 2018 1 hour ago, Jamie123 said: no time now 'coz I have to go and see my daughter play in Legally Blonde - Where is this play at? School? The school allowed racists plays to be played? And you didn't get molotov cocktails thrown around? Rad! Quote Link to comment Share on other sites More sharing options...
mordorbund Posted December 12, 2018 Report Share Posted December 12, 2018 I had to like the clip because of the face Doga made at 4:22. Quote Link to comment Share on other sites More sharing options...
Vort Posted December 12, 2018 Author Report Share Posted December 12, 2018 26 minutes ago, mordorbund said: I had to like the clip because of the face Doga made at 4:22. He made that face because the guy is wrong. I don't care if that's how the format developer says it; "Jif" is what I make sandwiches out of. It's not a Giraffical Image Format. mordorbund 1 Quote Link to comment Share on other sites More sharing options...
anatess2 Posted December 12, 2018 Report Share Posted December 12, 2018 7 minutes ago, Vort said: He made that face because the guy is wrong. I don't care if that's how the format developer says it; "Jif" is what I make sandwiches out of. It's not a Giraffical Image Format. I know, right??? I say it just like Doga says it! Vort 1 Quote Link to comment Share on other sites More sharing options...
mikbone Posted December 13, 2018 Report Share Posted December 13, 2018 (edited) Hipparchus used epicycles back in 150 BC to predict solar eclipses and create a working model of the solar system. His Antikythera mechanism pictured below on the left with moder day attempted recreations. Prolemy expanded on Hipparchus model with many more epicycles to create an accurate model of the geocentric solar system including the 5 main planets in 150 AD. Ptolemy’s model is still used today in mechanical clocks like the astronomical clock tower in Prague Pretty cool old technology. Edited December 13, 2018 by mikbone Quote Link to comment Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.
Note: Your post will require moderator approval before it will be visible.