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• Hi everyone! Konnichiwa! My name is Kat McDowell, I'm a singer-songwriter born in

• Japan and raised in New Zealand. Today I’m visiting Socratica Studios to talk to you

• To show you how harmony works, let's use the

• opening notes of my songHuman”.♫

• It's just one of those days...I don't want

• to get out of bed..." To hear the full version of this song, I made

• a music video with Socratica. So come check it out on my channel later.

• To start, let’s listen to the opening notes...♫

• So...Nice and harmonious, right? But what

• if we used different notes…♫

• Oh, bleegh! Why does that sound so wrong, when the original sounded so good?

• The reason is harmony. Every musical note is connected to a number

• - its frequency. For example, the note “A” has a frequency of 440 hertz.♫

• When I play this note, ♫ the air between us vibrates back and forth very quickly, 440

• times each second! This causes your eardrum to vibrate, and your brain says, “Hey! That’s

• an A!” So here’s the basic idea behind harmony.

• Two notes sound good togetherwhen their frequencies form a simple fraction. For example, the notes

• C and G sound good together. ♫ And their frequencies are in the ratio 3 to 2.

• I know, I know, it's not exactly. The ratio is really, really close to 3-to-2, it’s

• just a tiny bit off. Most people can’t hear the difference. The reason why it’s not

• exactly 3-to-2 is a story for another day.

• The notes C and F also sound good together. ♫ The ratio of their frequencies is 4 to 3.

• Another simple fraction, another pleasant sound.

• Ooh! Listen to this pair. C and C! ♫ The ratio of their frequencies

• is 2-to-1. That's the simplest fraction yet! .

• But get ready. Listen to C and C# together. ♫ Eeeeuw. A more complex fraction and

• a terrible sound.

• The rules of harmony work with more than two notes. Listen to the chord of C, E and G. ♫

• Nice, yes? Because this chord has 3 notes, what you're really hearing is 3 pairs of notes

• at the same time:

• C and E… E and G…

• And C and G…

• The ratios of these notes are 5-to-4… 6-to-5… and 3-to-2...

• Now brace yourselves. Here’s a chord that soundspretty gross. ♫ Eeesh!

• To understand why this sounds terrible, let's look at the fractions.

• The ratio between C and D is 9-to-8. The ratio between D and G# is 45:32.

• And the ratio between C and G# is 8:5.

• No wonder it sounds awful to listen to these 3 fractions all at once! ♫

• So far, weve been playing all these notes at once.

• But you can also play them separately, too - Harmony still works the same way! ♫

• And even some of the more complicated fractions have their place, too. In my song "Human,"

• I do have a complex fraction snuck in there. See if you can catch it: ♫

• ...did you catch that chord? It was used as a passing chord. But..it was nice, it added

• some flavour to it. So I hope you learned a little about harmony

• today - why music sounds good, why it doesn't sound good...

• And if you want to hear the rest of this song, make sure you visit my channel so you can

• hear the song "Human."

• Thank you so much to Socratica Studios for having me today. And I hope maybe I can come

• back sometime soon! I guess that's up to you and how many likes you put in here. Ask for

• me back in the comments below, and who knows, they might have me back! {whispering} Please

• do that! I want to come back!

• And now, if you want to hear the rest of this song - no fractions, just music - make sure

• that you come to my channel and hear the rest of this song.

• ♫ "It's just one of those days I don't want to get out of bed

• I just want to curl up Make sure you come over

• and subscribe to my channel, my channel, oh yeah!

• Bye!

Hi everyone! Konnichiwa! My name is Kat McDowell, I'm a singer-songwriter born in

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# What is Harmony? The Math Behind Music – Harmony Definition (Music Lessons)

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林宜悉 posted on 2020/03/06
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