Benedetti's Puzzle (mathematically impossible music)
Italian mathematician Giovanni Battista Benedetti wrote several letter to the composer Cipriano de Rore, the contents of which contained several puzzles that demonstrate the issues of tuning music to pure intervals.
“Comma Pump,” the the phenomenon that Benedetti describes. What is it? And why should we care??
Just Intonation in Renaissance Theory & Practice, Introduction
https://casfaculty.case.edu/ross-duffin/just-intonation-in-renaissance-theory-practice/introduction/
Pitch Drift in Choral Music
https://ccrma.stanford.edu/~hiroko/pitchdrift/paper221A.pdf
Os justi - The mouth of the righteous - A Bruckner - 2015
https://youtu.be/XnGqVIW51JA
Schoenberg on Comma Pumps
https://music.stackexchange.com/questions/11898/natural-vs-tempered-semi-tones
Benedetti: example for comma pump in a letter to Cipriano de Rore
https://www.youtube.com/watch?v=Tn0VZInlhoo
Cipriano de Rore, Giovanni Battista Benedetti, and the Just Tuning Conundrum
Ross w. Duffin
https://www.brepolsonline.net/doi/abs/10.1484/J.JAF.5.115544
Diversarum speculationum mathematicarum et physicarum liber (1585)
http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/mpiwg/online/permanent/library/163127KK&viewMode=images&pn=5
Dictionary of the History of Ideas MUSIC AND SCIENCE
http://xtf.lib.virginia.edu/xtf/view?docId=DicHist/uvaBook/tei/DicHist3.xml;chunk.id=dv3-32
JUST INTONATION by Joe Monzo
http://www.tonalsoft.com/enc/j/just.aspx
(⌐■_■)
⦿ Adam Neely T-shirts! ⦿
https://teespring.com/stores/adam-neely-merchandise
⦿ SUPPORT ME ON PATREON ⦿
http://www.patreon.com/adamneely
⦿ FOLLOW ME ON THE INTERNETS ⦿
http://www.facebook.com/adamneely
http://www.instagram.com/its_adamneely
⦿ Check out some of my music ⦿
http://sungazermusic.bandcamp.com
http://insideoutsidemusic.bandcamp.com
http://adamneelymusic.bandcamp.com
Peace,
Adam
Видео Benedetti's Puzzle (mathematically impossible music) канала Adam Neely
“Comma Pump,” the the phenomenon that Benedetti describes. What is it? And why should we care??
Just Intonation in Renaissance Theory & Practice, Introduction
https://casfaculty.case.edu/ross-duffin/just-intonation-in-renaissance-theory-practice/introduction/
Pitch Drift in Choral Music
https://ccrma.stanford.edu/~hiroko/pitchdrift/paper221A.pdf
Os justi - The mouth of the righteous - A Bruckner - 2015
https://youtu.be/XnGqVIW51JA
Schoenberg on Comma Pumps
https://music.stackexchange.com/questions/11898/natural-vs-tempered-semi-tones
Benedetti: example for comma pump in a letter to Cipriano de Rore
https://www.youtube.com/watch?v=Tn0VZInlhoo
Cipriano de Rore, Giovanni Battista Benedetti, and the Just Tuning Conundrum
Ross w. Duffin
https://www.brepolsonline.net/doi/abs/10.1484/J.JAF.5.115544
Diversarum speculationum mathematicarum et physicarum liber (1585)
http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/mpiwg/online/permanent/library/163127KK&viewMode=images&pn=5
Dictionary of the History of Ideas MUSIC AND SCIENCE
http://xtf.lib.virginia.edu/xtf/view?docId=DicHist/uvaBook/tei/DicHist3.xml;chunk.id=dv3-32
JUST INTONATION by Joe Monzo
http://www.tonalsoft.com/enc/j/just.aspx
(⌐■_■)
⦿ Adam Neely T-shirts! ⦿
https://teespring.com/stores/adam-neely-merchandise
⦿ SUPPORT ME ON PATREON ⦿
http://www.patreon.com/adamneely
⦿ FOLLOW ME ON THE INTERNETS ⦿
http://www.facebook.com/adamneely
http://www.instagram.com/its_adamneely
⦿ Check out some of my music ⦿
http://sungazermusic.bandcamp.com
http://insideoutsidemusic.bandcamp.com
http://adamneelymusic.bandcamp.com
Peace,
Adam
Видео Benedetti's Puzzle (mathematically impossible music) канала Adam Neely
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
What's in between Major and Minor chords? | Q+AThe Worst Jazz Solo of All TimeWhat are "Nested Tuplets?" | Q+ALearning to Like Contemporary Christian Music (the music I hate)Benedetti's Puzzle SOLVED (response to Adam Neely)The Girl From Ipanema is a far weirder song than you thought7:11 PolyrhythmsMaking the LOCRIAN scale sound GOOD? (ft. Paul Davids, Ben Levin, Nahre Sol and Samurai Guitarist)The Great Myth of the Medieval Tritone BanTesting 432 Hz Frequencies (and temperaments)The most elegant key change in all of pop musicWhy you DON'T want Perfect PitchWhy Does Music Only Use 12 Different Notes?What is Polytonality? | Q+AA = 432HzMaking Advanced™️ Kids Music (odd meters, metric Modulation, etc)Japanese Music Notation (shakuhachi music)Why It's Impossible to Tune a PianoWhy I was FIRED from an Off-Broadway show | Q+A #48