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  • [BLANK_AUDIO]

  • In this section, we're going to look more at the vertical distances between notes.

  • If you remember back to the graph we originally drew and

  • we said the vertical axis represented high pitches or low pitches.

  • We're now going to start quantifying those.

  • Now, we did say that we had an octave

  • which is a real phenomenon, a phenomenon of nature.

  • And we said that was eight notes.

  • Of course, it's actually seven note names, A, B, C, D, E, F, G, back to A.

  • But, of course, if you look, for instance, at

  • Zack's guitar here, you'll see that there aren't seven notes.

  • There's a lot more.

  • >> So, we did an example where we said that the

  • open A string is here and then if you half that string.

  • It's an octave above.

  • But if we look at the, the discreet pitches available to us in between.

  • We've actually got, 1, 2, 3, 4, 5, 6, 7, 8, 9,

  • 10, 11, 12, and then things start to repeat again, actually.

  • So what we're saying is the octave on many musical instruments nowadays

  • isn't divided into eight, as you'd expect based on the prefix oct.

  • Actually, we have 12 distinct pitch classes.

  • >> Yeah.

  • Now, if we were to look at the piano, we will see the same thing again.

  • So looking at what Zack did on guitar.

  • If we look at it on the piano, instead of

  • having frets, of course we've got all of these white notes.

  • We've also got these black notes, which we're now going to introduce.

  • So, starting on A, where Zack was, 1,2,

  • 3, 4, 5, 6, 7, 8, 9, 10,

  • 11, 12, and then we're back to A.

  • And there's the octave [SOUND].

  • Now, going back to this A, this distance here is called a semitone.

  • Where semi means half.

  • If that distance is called a semitone this distance

  • is called a Tone.

  • Semitone, half, double it, tone.

  • That's the same on all instruments.

  • Okay, keep that thought in mind.

  • We're now going to have a look at that represented back on our stave.

  • Now, this semitone is the smallest distance that

  • we're going to work with at the moment.

  • Now, if you want to find out more about that, we have additional material on it.

  • But let's just say for the moment, the semitone is

  • the smallest working distance we can have between two notes.

  • Also, at this point we're going to stop

  • using A and start orientating ourselves around C.

  • And so, here is C on our stave.

  • The next note up on the line is D.

  • We can count from C to D, one, two.

  • It's a tone.

  • But if we're going to name it in a different

  • way, we can say it's an interval of a second.

  • One, two, a second.

  • There

  • are lots more intervals for us to look at, and

  • to do that we're actually going to go back to the keyboard.

  • >> So Richard's just talked to you about this interval, the second, from C to D.

  • But as he said, there's much more than that.

  • So let's have another look through that, and we'll do that within the octave.

  • So, we've got C to D.

  • There's a second, one, two.

  • We ve got C to E, 1 2 3.

  • That's a third.

  • C to F, a fourth.

  • C to G, a fifth.

  • C to A, a sixth.

  • C to B, a seventh.

  • And from C to C, we're not going to call that an eighth,

  • we're going to use the word that we've already used, which is octave.

  • But what we don't want you to think

  • is that intervals are only ever counted from C.

  • You know, we could go from G to A, is a second.

  • G to C is a fourth.

  • F to A is a third.

  • It's all about counting the space.

  • One, two, three.

  • F to A is a third.

  • Now, if we were to play B to C, for example.

  • We can see that this is a second.

  • One, two.

  • Okay.

  • Let's play F to G.

  • F to G.

  • There's a second.

  • One, two.

  • But actually what we see here is that the B to C

  • Is a second, but the C is only a semitone above B.

  • Whereas, for instance, F to G, 1, 2, is a second.

  • But G is actually a tone,

  • that's to say, two semitones above F.

  • Now, they are both seconds, and it's

  • perfectly correct to describe them that way.

  • But they do have a different quality.

  • We're going to talk about that more next week, so hold that thought, but

  • at the moment let's use that information and turn to think about scales.

  • So now I'm going to turn our attention to scales.

  • [flute plays scale]

  • There's one.

  • Scales are a pathway.

  • through an octave, okay?

  • It's like they're a pool of notes, a set of notes which melodies can be drawn from.

  • And if we can have that on the piano as well,

  • [MUSIC]

  • I could say if I was doing Julie Andrews.

  • Which is that is a Do, Re, Mi, Fa, Sol, La, Ti, Do.

  • But I can also say it is, C, D, E, F, G, A, B, C.

  • That is why we have orientated ourselves to C, because we've now

  • found the scale of C Major, which I'm sure you've heard of.

  • Which is very common throughout the world.

  • Similarities exist in many cultures, and it's what

  • lots of music is built on, C Major.

  • >> And an important thing for you, looking at this, is when you're

  • looking at your piano, it's all the white notes from C to C.

  • So, Richard just said that this is an example of a major scale.

  • And actually, what's important here, is the relationship between the notes.

  • The relationship between all of these notes that are

  • available to us within this pool of notes.

  • And actually what we have to remember

  • here is the difference between tones and semitones.

  • So let's look at them again on the last stave.

  • C to D.

  • That's a tone, so I'm going to write T underneath here for tone.

  • D to E another tone.

  • So here is a T.

  • E to F there is no black note in between so this is a semi tone.

  • Which I will show with an S.

  • F to G a tone.

  • G to A a tone.

  • A to B, a tone.

  • And again, B to C, a semitone.

  • There's no blank note in between.

  • So, that gives us a pattern of Tone, Tone, Semitone, Tone, Tone, Tone, Semitone.

  • >> So, this pattern of two tones and then a semi-tone and three more

  • tones and a final semi-tone is what makes this scale sound the way it does.

  • Now we could say that each note on it's own doesn't actually mean that much, what's

  • important is how they sound next to each other in the context.

  • How they stand next to each other

  • and build up relationships between one another.

  • What this does is it gives us the flavor, gives us the overall sound.

  • And if we're going to talk about that formally in music

  • theoretic terms, it gives us the quality of the scale.

  • An important piece of terminology to remember, then, is that the

  • letter name that the scale is named after is called the tonic.

  • So, in the case of C Major, C is the tonic.

  • In the case of F Major, F is the tonic.

  • This major scale is also an example.

  • What is called a Diatonic Scale.

  • Dia between to tonics.

  • Diatonic scales are ones where we always have seven

  • notes with some pattern of five tones and two semitones.

  • Now, lets just have a little bit of the scale again on the staff.

  • And, remember we said C to D was a second.

  • Zack had pointed out that B to C was

  • also a second but one of the smaller ones:.

  • A semi tone.

  • So, I'm going to put this little dart sign here, to

  • show that between B and C is the semi tone.

  • Now, the other place we have a semi tone is between E and F.

  • So, I'm also going to put the dart sign there.

  • That will just help us to see, on

  • the stave, or major scale, where the semitones are.

  • So, there you have it, we found C Major.

  • Through our pattern of tones and

  • semitones, we've found our first major scale.

  • But of course, a scale isn't just a scale.

  • A scale helps to make music.

  • C major can give us this.

  • [Piano plays Auld Langs Syne]

  • Well, we are in Scotland.

  • C major can also give us this.

  • [Flute plays Twinkle Twinkle little star]

  • And don't think I'm being patronizing playing Twinkle Twinkle, Little Star.

  • It's a good exemplifier of the major scale.

  • It's also was a good enough tune for

  • Mozart to write a whole set of variations on.

  • While I'm on Mozart, that brings me to a little disclaimer.

  • In this course, we're dealing with musical

  • techniques that are known as the Common Practice.

  • And the Common Practice Era is basically Western Europe from 1600 to 1900.

  • So, it's very much the music of Bach, Haydn, Mozart, Beethoven, etc.

  • but there are other forms of music around the world.

  • That might use different techniques.

  • Where possible, we will reference them, but it has to be

  • said that the common practice is a good system to work from.

  • It applies to quite a lot of pop and rock, a lot of jazz,

  • quite a lot of folk music, and so that's our main focus in this course.

  • [BLANK_AUDIO]

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A2 初級

第1.2講--八度音程(Coursera - Fundamentals of Music Theory 3)。 (Lecture 1.2 - Octaves (Coursera - Fundamentals of Music Theory 3))

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