The connection between maths and music - Pythagoras Comma (Longer version)

This is a lecture in Pythagoras Fifth Circle and Comma, and the connection between maths and music, by Frida Johannesson, Sweden.

[MarsLos]

Her mistakes about semitones and that one extra flat on F major trigger me every time

[itorres]

There is a misuse of a term - semitone. She says there are 7 semitones in an octave which is not correct. There are 7 notes in a scale spanning an octave. There are 12 semitones in an octave.

Later, talking about the circle of fifths, she says there are 5 semitones between the C and G, which is the same mistake. There are 5 notes between them C, D, E, F, G, but there are 7 semitones between them. I suspect it's a problem of translation to English.

[stuntman]

This gets into fractals that John Coltrane used in his tune Giant Steps. Great stuff! I went to a performing arts high school, majoring in Jazz Studies and Composition and we didn't even get this deep into theory. I wish we incorporated math like this back in Jazz Comp. Giant Steps would have made a lot more since back then.

[maeckie]

Western Harmony is derieved from this 12-tone mathematically perfected relational Tonal System. It creates this computable gap between perfect Theory and the imperfect Reality. Harmony works out in nature, but not on a piece of paper. When an Instrument is played it induces its own Resonance System to the vibration of the strings. Overtones and Subharmonics are introduced. If a musician is "connected" there are no wrong notes anymore. Everything falls right into place, all boundaries are lost. Math, music and feeling all become one. Music is a beautiful art.

[Jude]

At 15 I was listening to NWA with my buddies and learning how to party.

[auntiefatisimo]

I understand but don't really understand. My school project is about this.

[CuzBarnaJuner]

Step 1; explain that octaves are formed by a 2 to 1 ratio. Step 2. explain that "fifths' are formed by a 3 to 1 ratio (divided by 2 to stay in the same octave range). Step 3; explain that following the circle of fifths results in notes which are somewhat sharp (it's a spiral, not a circle). Step 4, explain that the tempered scale goes back to the 2 to 1 ratio with 12 equal ratio steps between octaves. = Note: During the time of Pythagoras, it was traditional for students and followers to attribute their works to their master. So, we really don't know how much Pythagoras did himself. . .

[MarwarMusicSchoolJodhpur]

Dear friend, Namaste,
I am from Jodhpur city Rajasthan, INDIA
I want to know frequency of Harmonium's keys.

[panosteve]

This would be better titled: The Maths Behind Equal Temperement.

[radpeak]

details are details but certainly this video cracked some info

[mazda]

In the key signature diagram at 2:42 the key of F should only have one flat, shouldn't it?

[finnrock]

If I am understanding this correctly, this all comes about from the inaccurate approximation of 2^(7/12) as 3/2. If it's actual value was used (1.4983) the 12 pointed star would close and there wouldn't be a Pythagorean comma.


Right?

[voidisyinyangvoidisyinyang]

The empirical truth of music is actually the infinite spiral of fifths based on noncommutative phase, as Alain Connes has corroborated.

[craigdouglas]

I think the young lady has wonderful mind.

[razerb.mohammadtahil]

its only ma'am for clarification; there's only the 12 keys of the musical system, minor and major terms mostly denotes for chords.. or its better to said minor and major modes not keys.. thank you ❤️.

[DavidLelandsanfrandave]

Sorry, there's a mistake in your staff notation of the key of F on the Circle of Fifths, being that you have two flats, making it Bb, not F.

[cobyup]

So by following your key signature for F, why am I playing Bb? Lol

[joyabravomusic]

I'm in the early stages of grasping this and wanted to point out 4:58. She mentions harmonically equivalent notes "C and B#", but points to B flat... Is this the life-giving 1.7463 difference? Or just an accident on her part? I would think that it shoulddd echo the same pattern that is pointed at the bottom where D flat truly equals C#. Can anyone answer this?

[phillipchavez]

0:00-2:58 are the good parts. After this, it get complicated (the girl adds to much posh to it that it becomes boring). Isaac Newton said that simplicity is the best; Richard Feynman said that if one cannot explain something in simple terms, they don't understand it well.
The girl's probably just targeting a specific audience(those who are advanced). However, if you want more views on your you want more people to be into this stuff, don't sugarcoat it with incomprehensible complicatedness. Thumbs up for the video, though -I like it!, else I wouldn't be commenting it at all. I see potential in it to be more.

[marinooliveira]

Dumb question: what is the piece that she’s playing in the begginnig?