Leonhard Euler's Magical Consonance Formula (Patreon)

Leonhard Euler's Magical Consonance Formula

Try Brilliant free: http://brilliant.org/12tone/ Consonance is a tricky thing. Some notes sound good together, others don't, and the difference between consonant and dissonant intervals has been a huge part of music theory for centuries, if not longer. Wouldn't it be great if we just had a formula that would tell us exactly which intervals actually worked together? Well, enter legendary mathematician Leonhard Euler, who took on the task of defining consonance with mathematical precision, so we could finally tell just how good any set of notes actually sound. Patreon: https://www.patreon.com/12tonevideos Mailing List: http://eepurl.com/bCTDaj Facebook: https://www.facebook.com/12tonevideos Twitter: https://twitter.com/12tonevideos Instagram: https://www.instagram.com/12tonevideos/ Email: 12tonevideos@gmail.com Last: https://youtu.be/BzznBt8tVnI SOURCES: http://www.uni-miskolc.hu/~matsefi/Octogon/volumes/volume1/article1_25.pdf http://www.tonalsoft.com/monzo/euler/euler-en.aspx http://www.academia.edu/302747/Mathematical_models_of_musical_scales_a_new_approach Script: https://docs.google.com/document/d/1LSeRmurjHYrKAwuX7aZpI-8OR2G1HOBvpfdJ09A9JFE/edit?usp=sharing Huge thanks to our Elephant of the Month Club members: Susan Jones Jill Jones Ron Jones Howard Levine Corvi Brian Etheredge Gabi Ghita Duck Elaine Pratt Ken Arnold Khristofor Saraga William (Bill) Boston RAD Donato Nicolas Mendoza Mitchell Fund Anton Smyk Len Lanphar Paul Ward Benjamin DeLillo Susan Lingenfelter Chris Prentice Jack Carlson Branden Randall Dov Zazkis James Treacy Bagshaw Christopher Lucas Hendrik Payer Andrew Beals Thomas Morley Jacob Helwig Duncan Dempsey Patrick James Morley Samuel Kent And thanks as well to Henry Reich, Gene Lushtak, Eugene Bulkin, Logan Jones, Abram Thiessen, Anna Work, Oliver, Jc Bq, Adam Neely, nico, Dialup Salesman, Michael Fieseler, Rick Lees, Ben LaRose, Justin Donnell, rhandhom1, Harold Gonzales, Dave Mayer, Thomás, Davis Sprague, Justin Bronstein, Justin Aungst, David Roulston, Marc Himmelberger, Chris Borland, Paul Quine, Anamol Pundle, jason black, Nick Olman, Daniel Gilchrist, billy roberts, Elliot Burke, Alex Atanasyan, Amlor, Greg Borenstein, Tim S., David Tocknell, Elias Simon, CodenaCrow, Nikolay Semyonov, Alex, Arnas, Paul Apicella, Sarah Spath, Skylar J Eckdahl, Kristian Bredenbeck, Jerry D. Brown, blalo'u, Lauren Steely, Fabian, Caroline Simpson, Josiah R. Hazel, Ohad Lutzky, Jon White, Eivind Vatshaug, Kurtis Commanda, James A. Thornton, Benjamin Cooper, Kevin, Joe Galetti, Michael Alan Dorman, John Bejarano, David Barker, Brian Dinger, Nathan Petchell, Blake Boyd, Calvin Blitman, Trevor, Michael McCormick, Lilith Dawn, Jonathan Beck, Dmitry Jemerov, Jason Foster, Ian Seymour, Charles Gaskell, Brett Haines, Luke Rihn, Rob Holton, Stefan Strohmaier, Adam Wurstmann, Kelsey Freese, Shadow Kat, Adam Kent, Elliot Jay O'Neill, David Christensen, Elliot Winkler, Payden Nissen, Tom Evans, Nervilis, Lee Rennie, Richard T. Anderson, Angela Flierman, Matthis Knopf, Peter Wells, Zion Suppasan, Dan Lizotte, Mark Feaver, Tyler Lukasiewicz, Kevin Johnson, Brian McCue, Stephan Broek, Wú QióngYuǎn, Marcøs, Brandon Lanning, Ryan Nicholls, ml cohen, Sylvain Chevalier, Yuriy Honcharuk, Darzzr, Roger Grosse, David Hardin, Rodrigo Roman, Francois LaPlante, Jeremy Zolner, Matthew Fox, Paper Coelacanth, Britt Ratliff, Koen Hoogendoorn, Tae Wook Kim, Eddie O'Rourke, Ryan, Jon Bauman, Drew Mazurek, Vincent Sanders, John July, Victor L., Tommaso Ghidetti, Volker Wegert, Linus Abrahamson, Paul Koester, Danny, Matthew Kallend, Patrick Callier, JH, Joshua Gleitze, Ben Zotto, Max Wanderman, Fred Phillips, Emilio Assteves, Moises Vieira Nunes, Alex Keeny, Jeffery Aaron Lowery, Alexey Fedotov, Nicholas Lim, Patrick Pyne, Charles Hill, Harry Hume, Valentin Lupachev, Joshua La Macchia, Jake Lizzio, John Paul Welsh, Lisa Lyons, DSM, Hape Company, Matt Giallourakis, Peter Hayes, Gatter Butterfield, Niko Albertus, Luke Wever, Elizabeth von Teig, Steve Brand, Rene Miklas, Connor Shannon, Angels Piano, Ben Straubinger, max thomas, Jamie Price, Kennedy Morrison, and Red Uncle! Your support helps make 12tone even better! Also, thanks to Jareth Arnold and Jade Tan-Holmes for proofreading the script to make sure this all makes sense hopefully!