Sunday, March 22, 2015

The Original (Bluegrass) Instrument - the Human Voice

It goes without saying that bluegrass is a vocal music.  Singing is such a huge part of our music and many of our bluegrass heroes have shaped a style of singing over the years that we all have come to enjoy.  Today, we will examine some of the aspects of singing in the bluegrass setting. 

I’ve also had requests to cover some of the basics of how to sing harmony as well as requests to cover basic chord structures.  Therefore, I’ve included two appendices – appendix one covers Nashville numbering and a related notation scheme that is a necessary background for harmony singing (it also covers some basics of chord construction that might be of use to beginning bluegrass musicians).  Appendix two gives a simple example on how to construct a three-part bluegrass harmony.  

The Voice as a Musical Instrument
Most musical instruments, including the human voice, can be better understood by separating them into three basic elements – an energy source, a sound producer and a resonator.  For example, in any of our bluegrass stringed instruments (such as a guitar):
·      The energy source is a moving pick, striking the string.
·      The sound producer is the vibrating string.
·      The resonator is the sound box, providing amplification and tone coloration.

A human voice has the same three basic components:
·      The energy source is the diaphragm and several pairs of associated muscles, which, working together with the lungs, provides a moving stream of air.  Effective use of the diaphragm (and lateral oblique muscles) is especially important in singing.
·      Sound production (or phonation) comes from the vocal folds that are within the voice box (or larynx).  The shape and size of these folds are very unique for an individual and can sustain several different modes of vibration.  For example, a modal (normal) voice vibrates the entire fold whereas a “falsetto” will vibrate the edges of each fold.
·      The resonator is a set of seven chambers1 in the body providing amplification and tone coloration.  The shape and size of these chambers are also quite unique to an individual and, along with the vocal folds, give each person her own characteristic voice sound.  Primary resonance modes taking place in the head and/or chest lead to the eponymous head and chest “voices”.  Another set of these chambers (e.g. aspects of your mouth) is capable of taking the sounds and forming them into consonants and vowels.

Classical voice pedagogy teaches us that humans are capable of producing several voice stages, or passaggi, that have dramatically different timbres.  The aforementioned chest voice and head voice are two examples of passaggi.  Most voice professionals describe more than just these two stages, and, for example, according to the acclaimed vocal teacher Richard Miller, a trained male tenor voice is capable of seven passaggi.  Each of these passaggi invokes different vibratory modes of the vocal folds and resonances in different parts of the body.

The Bluegrass Lead Voice
There are a wide variety of lead vocal styles in bluegrass music that range from full deep voices to high squeaky ones – and everything in between.   However, there is one unique vocal sound that is strongly associated with traditional bluegrass – that being the high lonesome sound that Bill Monroe pioneered.  To me, it sounds like this distinctive vocal register comes from forcing a chest voice into a range normally associated with a head voice without fully switching into a falsetto, giving that high, closed sound.  A word of caution for those who might want to try this at home: Tony Rice famously lost his once fantastic voice (as have others) – apparently from improper vocal technique.  I’d urge anyone attempting to recreate the Monroe-esque (or any other) vocal sound to consult with a vocal professional to make sure no damage is being done.

Bluegrass lead singing, like in other genres, is highly individualistic and each vocalist has his or her own approach to the lead.  Great singers, of course all can convey the magic of a good story line and invoke emotion in the listener.  James King is one of the best and is known to break down crying on stage while performing an especially sad song.  I’ve seen audience members weeping uncontrollably along with James during one of his concerts.  And if you don’t get chill bumps listening to Larry Sparks, you should have your autonomic nervous system checked out.

Harmony Vocals
Harmony singing is an essential part of bluegrass music – it has been used to augment choruses all the way back to the proto-country music times early in the 1900s and before.   Bluegrass harmonies rely on singing a line typically above and sometimes below the melody line in such a fashion as to usually make a chord.

The earliest pre-bluegrass harmonies that I am aware of occurred back in the string band era of the 1920s – if you listen to some of the recordings of (say) Gid Tanner and the Skillet Lickers or similar string bands, you can hear folks in the band joining in on choruses and sometimes these folks will manage to deviate from the melody in such a way as to hit a harmony note or two.  This style of loose but very energetic harmony singing continues in old time bands of the present day.  And it sounds great.

The “brother” duos of the 1930s feature very tight two-part harmony where one brother sings lead and the other brother would sing a harmony line that consists of notes above the lead that seem to blend well with the lead part.  These recordings from the Blue Sky Boys, the Delmore brothers, the Stanley brothers, the Monroe brothers and others, show wonderfully tight and beautiful harmonies. Some of these two-part harmony lines have entered the bluegrass lexicon unaltered and become sacred as iconic tenor harmony parts.

After Mr. Monroe formed the Original Bluegrass Band back in late 1945, sophisticated three and four part harmonies became a key part of this new music.  Much of the harmony that our bluegrass father incorporated came from southern gospel music.  As early as 1801, parishioners throughout the American south were using techniques such as shape note singing <link> to assist in finding the proper harmony parts in spiritual songs.  Many of the sidemen recruited by Bill Monroe and other major bluegrass acts came from a southern gospel background and were thusly well equipped to sing the necessary harmony parts.

Stacking Bluegrass Harmonies
Bluegrass music frequently uses three-part harmony, with each part more or less corresponding to the notes of a chord.  Bluegrass people have developed an odd nomenclature for discussing these harmony parts.   In a conventional bluegrass harmony stack-up, the part directly above the lead is referred to as the “tenor” harmony and the part directly below is called the “baritone” harmony.  It doesn’t matter if the vocalist is using a tenor or a baritone singer’s range of notes.  In bluegrass, the labels “tenor” and “baritone” refer to the harmony line not how high or low in pitch the singing is.

There are two other ways of stacking the harmony parts besides the ‘conventional’ way that was described above.  The first is to take the baritone part (conventionally below the melody) and move it one octave higher so it is above the tenor part in pitch, and this part becomes the high-baritone part.  The resulting harmony line is almost certainly not in the ‘classically defined’ baritone singer’s range – in fact it might even be in the tenor or the counter-tenor range.  But the bluegrass naming convention is to continue to refer this as a ‘baritone’ part, albeit a high one.  As mentioned above, it is the harmony line, not the range that determines baritone or tenor.  The resulting stack-up is melody (lowest in pitch), then tenor, and then high baritone (on top).

The second possible rearrangement is to take the tenor part (which is above the melody in a conventional arrangement) and move it one octave below so it is below the baritone, it becomes (wait for it…) the low tenor part.  If you are an Osborne brother, you are very familiar with this stacking because Bobby sings lead in the stratosphere and even young children and small yappy dogs are unable to get to pitches higher than his voice.  The logical solution:  low tenor.  In this stack-up, the lead line remains on top, the tenor harmony line moves to the bottom becoming the low tenor, and the conventional (low) baritone is sandwiched in between. 

Many bluegrass songs and gospel songs in particular have a bass line in addition to the other three harmony parts.  Singing bass sounds really cool and it is easy to do – even for young children with high modal voices.  Firstly, you need a microphone.  You need intimate contact, and I mean really intimate contact with the mic.  Sanitize it with some rubbing alcohol first if you need to but you need to literally kiss the mic.   Most mics have something called a “proximity effect” which takes the bass part of the sound spectrum and amplifies it tremendously when the sound source is very close.  Everybody can sound like Herman Munster by swallowing the mic.  Once positioned thusly, just sing the root note of every chord (with a few exceptions) and you will have a great bass harmony line!

If you would like to learn more about how to sing basic bluegrass harmony, I’ve included a simple example in Appendix 2 at the end of the blog.

Getting the Blend:  Vowels and Diphthongs
Doyle Lawson once said that a getting a good vocal blend is “all about the vowels.” Indeed, good harmony singers do pay close attention to the vowels… if they are not sung in the same way, the harmonies will sound flat and possible band drama will ensue. 

Diphthongs are especially important and tricky to get right.  What is a diphthong, you might ask – the word means “two sounds” and it refers to two adjacent vowel sounds in the same syllable.  Diphthongs are everywhere and they change depending on the version of American English you happen to be speaking. From my Northerner’s perspective, our Southern counterparts often create diphthongs out of plain vowels (and vice versa).  As an example, my name in the north is pronounced “Jeff” – a short “e,” no diphthong.  When I was living in South Carolina, I became known as “Jeeeoooff”.  This southern version of my name has this beautiful diphthong inserted in the middle and is drawn out like a lazy meandering river on a sunny afternoon (boy is that a horrible metaphor).  Now just imagine if someone wrote a song about me and we had people from both New York City and South Carolina singing harmony.  When they came to the word “Jeff,” the vocalists would be essentially singing two different words and the harmony would sound horrible.

The important aspect of singing diphthongs is for all singers to not only pronounce the word the same way but to also transition thru the diphthong at the same rate.  To illustrate, let’s take the word “girl,” which is a commonplace word in bluegrass songs, and, as we will see, is fraught with potential problems.  Note that "girl" may not be a true diphthong, but since the "r" makes the vowel sound change as you are singing thru the word, it behaves exactly like one.  First of all, everybody pronounces “r” differently – if you have both New Yorkers and South Carolinian singers in the band you should just avoid songs with the letter “r” and change the word from “girl” to “gal.”   But if you want to keep the original word “girl” because it rhymes with “oil” (yup, I’m from NYC), the dreaded diphthong must be addressed.  If the lead singer transitions quickly thru the vowel and lingers on the “rrrr” – for example he pronounces it “girrrrrrrrrrl” and one of the other harmony singers lingers on the first part of the vowel e.g. “giiiiiiiiiiiiirl,” the harmony blend will totally disappear during that word.  It might sound flat even if all three singers are perfectly on pitch.   Since it is often the case that one or more of the singers in a bluegrass band is sensitive, a battle will ensue with each side accusing the other of being off pitch (when in fact they are all singing in tune).

When everything is clicking and all the harmonies are blending, there is nothing better than singing bluegrass music.  Especially if you get the diphthongs right.

Keep on pickin’ (and singin’)

Jeff

1More precisely there are seven chambers responsible for the resonance of the human voice.  They are the chest, the tracheal tree, the larynx, the pharynx, the oral cavity, the nasal cavity, and the sinuses.

Appendix 1:  Basic Primer on Nashville Numbering and More
Last time we took look at the fundamental physics behind music and how the overtone series leads to musical scales, why chords are harmonious and why blues scales sound cool.  We are now ready to introduce some standard musical notation based on the theory discussed last time.  I have used this notation over the years to both think about music as well as teach it.  It is loosely based on the Nashville Numbering system, which you can read about on Wikipedia here <link>.  This notation will help us discuss harmony and some other related concepts to be covered in Appendix 2. 

Thinking about the notes
Since bluegrass music is not played in a single key, it is much easier to think about the notes in the scale as a series of numbers that can apply to any key.  This way, if I learn a song in (say) the key of A and our guitarist / lead singer decides, after reaching puberty that he would rather sing it in Eb, I don’t need to re-learn the song.  This applies to both individual notes and chords. 

Let’s start with the A Major scale.

A-B-C#-D-E-F#-G#

How would we list the notes of “Mary Had A Little Lamb?” (Note that since we are just developing some theory here, I am not going to differentiate the time value of each note, as is done in standard musical notation.)

C#-B-A-B-C#-C#-C#

If I wanted to play that same song in G, it would be a different series of notes:

B-A-G-A-B-B-B

Each different key would require a different set of notes to be memorized or learned.

But what if I were to assign a number value to each note?  There are seven notes in a major scale, and let’s use Arabic numerals to denote each note of the scale (in this case an A scale):

A-B-C#-D-E-F#-G#
1-2-3-4-5-6-7

Mary had a little lamb would be written:

3-2-1-2-3-3-3

The numbers wouldn’t change if I shifted the song to the key of G, or the key of Eb for that matter.  I only need to learn each song once and then, if I have done the homework on my instrument or my voice, and know the scales of all the keys, I then can play or sing that song in any key without transposing.  I just need to think of the numbers, not the notes.  If you are familiar with shape note singing, this scheme essentially solves the same problem, but without the shapes.

This is a very convenient notation for harmony singers as well.  Using this notation, we can easily figure out harmonies (and have a framework to think about while singing harmonies).  We will give an example of how to do this after the next section.

I also use this system when I am in a jam and someone starts playing a new song, one I have never heard before.  I find if I can recognize and replicate a few of the key notes (as well as think about the chord structure, to be covered below), I can produce a rudimentary mandolin break on the fly, the very first time I’ve played the song – just as long as I can hear the melody at least once.  My thought processes at the time of panic – just before I take my first break in this unknown song – are to think about the melody in terms of numbers, and then attempt to construct a break using those numbers as a framework.  It works most of the time (but sometimes ends up with a spectacular failure).

The key point is to be able to fluently think about notes as numbers:  to be able to recognize melodies on the fly and assign numbers to them. This is not as difficult as you might think but will require some practice.  It is a fundamental skill that I would highly recommend for any beginning bluegrass musician to acquire.

Chording away
Now let’s discuss chords.  Briefly reviewing from our blog post last time: a major chord is composed of four notes, including the root, the third, the fifth and an octave.  The reason these four particular notes sound harmonious is they contain pairs of notes that are separated by the five most harmonious intervals – the octave, the perfect fifth, the fourth, the major third and the minor third.

For an A Major chord, the notes would be A-C#-E and A (octave).  Using our Arabic numeral notation, its 1-3-5-1.  And as with scales, a major chord is always 1-3-5-1 in any key.  An F Major chord is 1-3-5-1, and so is a D Major.

If we are playing a song in the key of A, we will need more than just an A Major chord.  You will find that you can play most of the songs in bluegrass in the key of A with two just additional chords – the D Major, the E Major.  And to avoid confusion with the notes of a scale (which we are using Arabic numerals to denote), we will refer to chords using Roman numerals.  So, an A chord in the key of A would be a I chord (“I” as in Roman numeral “one”).  The D chord is a IV chord (in a song that is in the key of A).  Roman numeral "four," or IV.  It is a IV chord because the root note of the chord is the 4th note of the scale.  The 4th note of the scale in the key of A is a D.  For similar reasons, the E Major chord is a V chord (in a song that is played in the key of A).

I, IV, and V are the three basic chords in bluegrass music.  There are also a couple of less common chords that you will encounter - these are the II (major and minor), VI (major and minor), bVII (pronounced “flat seven”) and the III chord, which we include in homage to the song “Old Home Place”.  These “roman numeral” chords are listed in the table below, with a translation into all the keys.  You will need to memorize this table.  But once you do, you will only need to learn songs once (learning them by the roman numerals) and then can play in any key without transposing.  This will also come in handy when the guitar player yells, “go to a IV chord next.”

KEY
I
IV
V
VI*
II*
bVII
III*
G
G
C
D
E
A
F
B
A
A
D
E
F#
B
G
C#
Bb
Bb
Eb
F
G
C
Ab
E
B
B
E
F#
G
C#
A
D#
C
C
F
G
A
D
Bb
E
D
D
G
A
B
E
C
F#
E
E
A
B
C#
F#
D
G#
F
F
Bb
C
Dm
G
Eb
A
*Note that the VI, II and III chords are sometimes minor but not always. 
 
Appendix 2:  So You Want To Sing Harmony?
In my experience it is always best to start with constructing the tenor harmony first. The tenor line is the easiest to find and often consists of iconic phrases in order to “sound like bluegrass.”  To find the tenor line, start with the tenor “rule” – sing the note that occurs in the current chord directly above the melody line.  If you can find the first harmony note, you’ve won half the battle.  Continue to sing this line, going up in pitch when the lead goes up and down when the lead descends.  You will find there are places where, in order for it to “sound like bluegrass” you may need to deviate from this note-for-note shadowing of the lead and you should go with your feeling here.

The baritone part comes next and, as implied above, it can be much trickier than the tenor part.  The game with singing baritone is basically to “fill in the missing note of the chord.”  Most of the time this note will be directly below the melody line but occasionally you will have to cross over the melody (e.g. choose a note or phrase higher in pitch than the melody) if the tenor singer has left a gap between his part and the melody.  It takes a sharp ear to sing a baritone part and it is often best to slow things down and make sure you are blending on each and every sustainable note.  At the end of the day, the baritone’s job is to blend in and fill out the vocal trio – and not to stick out (which very much not like the tenor part).

Constructing a Basic Tenor Harmony
Now we will put some of this notation to work and show an example of how to construct a tenor harmony.   Let’s take the first line from the song “Rolling in my Sweet Baby’s Arms,” which using our notation for writing notes, would be written like this (I’ve simplified the melody somewhat):

Rollin’ in my sweet baby’s arms
3     3    3  3     3       3  2      1

The chord being played during this phrase is a I chord.  As mentioned above, this consists of the notes 1, 3 and 5.

The first word, “Rollin,” is on a 3 note.  And we find, conveniently, that the 3 note is within the I chord.  The “tenor rule” states that the tenor harmony is usually the next higher note than the melody of the chord currently being played.  The melody is on 3, so the harmony is on 5.  Once we find that note, we follow the idea that if the melody goes up, the tenor line goes up and vice versa.  Note that in the word “baby’s” the melody drops.  This is a transient word – the note being sung is not in the chord being played.  Have no worry, though – the next note (the word “arms”) is sustained, and it is on the 1 note and it is is squarely in the I chord.  So, the tenor harmony would be:

Rollin’ in my sweet baby’s arms
5     5     5    5         5  4    3

Now for the Baritone
Adding a baritone to this line is relatively simple.  Starting with the melody, we find the note directly below and within the chord.  If you do this exercise you’ll find that the baritone line is

Rollin’ in my sweet baby’s arms
1      1   1   1   1         1  6     5

Note here that the 6 and the 5 are the ones below the melody, not above.  This is implied by the direction of the melody, which is down.  One of the problems of our simple notation is that the octave that the note occurs in is not explicit – but the context of the song seems to always give you the correct octave.

Again, with the exception of the transition note on the second half of the word “baby’s,” we are always forming a major chord and the harmonies will blend accordingly.

The Rest of the Song
You can now take this scheme and extend it to the rest of the song.  It becomes a little tricky when the chord switches beyond the "I" chord.  The way to approach this is to look at the notes of the new chord in the key you are currently in.  The IV chord for example has the notes 4-6-1 when expressed in the key of the song.  This is just taking the 1-3-5 and shifting it up to the root note of the IV chord which is a 4.   You will find that, generally speaking, the "important" melody notes (e.g.  notes that are on downbeats or are sustained) will fall on one of the three notes that the chord contains.  This is not always true but can be used as a rule of thumb.  Similarly, the V chord will have the notes 5-7-2 and the melody will have "important" notes contained in this chord.  The next step is to find the tenor harmony by re-applying the "tenor rule" of moving up to the next chorded note.  Similarly for the baritone, the game is (usually) to move down to the next chorded note.

I will leave it to the reader to complete the harmony of "Rollin' In My Sweet Baby's Arms".  If you need help, just leave me a comment in the blog comments section and I will reach out to you to help you thru it.

Finally, just remember that 99% of songs have melodies that end on a “1” note – so to check your harmonies, the tenor should (almost) always end on a “3” note and the baritone should (almost) always end on a “5” note.  Happy singing!






Tuesday, March 10, 2015

Music From the Ground Up

Now that we have covered the five basic bluegrass instruments, it is time to develop just a bit of music theory. I promise to keep it lightweight and hopefully interesting.  However, before we can get into theory, it is both important and interesting to understand some of the basic physics behind musical notes and scales, and that is the subject of this week’s blog post.

The Overtone Series
As you may have learned in high school, sound is nothing more than vibrations carried by the air.  And a musical note is nothing more than the air vibrating with a distinct set of frequencies.  If we take a closer look at these vibrations, they can be decomposed into sine waves.  OK, I might have just crossed the line here into math, but stick with me… you should find this interesting.  Let me back up a bit.  A sine wave, pictured below, can be thought of as a smooth ripple, sort of like what you might find if you drop a pebble into a pond. 



Let’s say you pick an A note on your guitar. The guitar string will oscillate at a (primary) rate of 440 times every second, or 440 Hertz, which can be shortened to “440Hz”.  The air molecules right next to your guitar will vibrate at that same rate, causing a periodic increase and decrease of pressure in the air 440 times per second.  This so-called compression wave will subsequently propagate at the speed of sound away from your guitar and be picked up by your eardrum, which is very sensitive to these types of pressure variations.   If there were a magic camera that could take a snap shot and show air-pressure readings between your guitar and your ear, it would look similar to the sine wave pictured above.  The peaks of the wave would be high-pressure areas located about 30” apart and the troughs would be low-pressure regions also separated from each other by about 30”.  This wave would be moving away from your guitar at 340 meters per second, which is the speed of sound in air.

Things get considerably more interesting when you look very carefully at this sound wave.  It turns out that the waveform is not just a simple sine wave as illustrated in the figure above, but many different sine waves superimposed on each other.  Since we don’t have the magic camera, I will use a slightly different picture to show what is happening.  The figure below shows a sound wave from a guitar and plots the pressure as it varies with time (note that this is something you can easily display on your computer with any modern sound program such as Pro-tools).  Time goes from left to right on the horizontal axis and the vertical axis is pressure variation.




In this figure, you can clearly see the effect of the pick striking the strings in the left part of the diagram, which results in strong pressure variations both up and down.  As the string settles and starts to ring, it is not a perfect sine wave but a jagged one that develops.  Have a look at the blown up portions on the top right and the bottom right, you can see the jagged sound wave.

It turns out that the reason these waves are jagged and not perfectly smooth is that your guitar string was not only oscillating at 440Hz but was also vibrating with many other different (but related) frequencies at the same time.  These additional vibrations end up being superimposed on the main 440Hz one and are referred to as overtones (some people call them “partials”).  In the case of the vibrating A-string, there will be overtones at 880Hz (=2x440) 1320Hz (=3x440), 1760Hz (=4x440) and all the other integer multiples of 440Hz.  These are illustrated conceptually in the figure below:



The relative strength, or amplitude of each one of the above individual overtone components will vary from instrument to instrument and these relative strengths will determine the timbre of the note. 

Below is a picture of these relative amplitudes in the overtones of the guitar note that we have described above.  The way to read this chart is as follows:  The horizontal axis is frequency (in Hz or cycles per second) and the vertical axis is amplitude or loudness of the sound.  You can see the overtones clearly as spikes and that the first, second, fourth and seventh overtones are particularly prominent in this guitar note.


To illustrate how the relative strengths of these overtones contribute to the timbre, it is instructive to compare the guitar with another instrument.  For example, the clarinet’s spectrum (shown in the figure below) is, indeed, most unlike the guitar.  Every other partial is almost totally missing in the clarinet whereas they are very prominent in the guitar’s spectrum.



Each instrument, including the human voice, has a unique sound or timbre and one of the major reasons is the distinctive set of amplitudes in the overtones.

Formation of Musical Scales
The overtone series underlies another important concept in music – that of creating musical scales.  Again, using the example of the A (440Hz) note, the first overtone is 2x440 which is 880Hz – this is an octave of the original note.  The second overtone, at 3x440, or 1320Hz is an E note, which is an octave plus a fifth.  Then comes 4x440, which is another octave.  The following frequency at 5x440 is pretty close to a D – a fourth.  And so on.  If I continue to enumerate the overtones in this fashion and then list out all the unique notes and rearrange them in alphabetical order, I’ll end up with the following list:

A-A#-B-C-C#-D-D#-E-F-G-G# 

This list is all the notes in a western chromatic scale.  And if I choose the first seven (unique) notes from the list of the most prominent overtones, it will be an A major scale:

A-B-C#-D-E-F#-G#

That’s right, an A note played on (say) the guitar, or mandolin, or sung with a human voice, contains all the other notes of the scale, in varying degrees, imbedded within its overtones.  This is also true for all the other notes in the scale – they all turn out to be related to each other, and so they will sound harmonious with each other.  This is the fundamental basis of musical scales.

Chords and Blues Scales
The notes (or more properly, intervals) corresponding to frequencies lower in the overtone series are much more important than the ones higher in the series.  For example, if I look at the several of the unique note values from early in our overtone series I get this:

A-C#-E

This is an A Major chord and we can now deduce why major chords exist.  Since the three notes of a major chord come from the intervals that are low in the overtone series, playing them simultaneously will result in a harmonious sound.  This is because the frequencies of each of these notes are closely related and the overtone series of each of these individual notes are similar enough to reinforce each other in an additive fashion. For a more complete explanation please see the footnote1

If you were to look carefully at the C# note, you’d find that the corresponding frequency is a little bit flat of the C#.  In fact it is between a C and a C# so I should be able to choose either note for my chord.  If I were to choose the C instead of the C#, I’d have this:

A-C-E

This is an A Minor chord.  And nothing feels better than bending or sliding a “minor third” note towards the major third when you are in a bluesy break.  Your bend goes right thru where the overtone-series-derived interval lies – between the major and minor third.  There is a similar phenomenon associated with the 7th note of the scale, giving us both a minor and a major seventh interval.

Let’s continue on and take the first five notes of the overtone series.  This is the pentatonic (i.e. five noted) scale.  Since these five notes are close to each other in the overtone series and near the fundamental, they have lots of related harmonics and will sound especially good when played in sequence.  Both sad sounding blues and happy sounding country music songs are based on these so-called minor and major pentatonic scales.  If you are playing the blues, the odds are that you are using mostly the first five notes in the overtone series.

For similar reasons as above, playing notes at the same time that are far apart instead of close together in the overtone series will result in a highly dissonant sound.  Let me use the example of playing an A and A# simultaneously.  These notes are close together in the scale, but the A# is way, way up there on the A overtone series and very far removed from the A fundamental.  This means that the overtone series of these two notes are composed of much different harmonic components and tend not to reinforce each other.  A highly complex and disagreeable sound will result if they are played together.  And just like making up with your girlfriend after a fight, resolving those dissonances feels especially good in musical scores.

That is enough physics for now. Next time, we will build on this foundation and discuss the Nashville numbering system.  This will provide us with tools to figure out chords to songs and also to be able to construct harmony vocal parts to our favorite bluegrass choruses. 

Keep on pickin’


Jeff

Footnote:

1A major chord is made up of three unique notes that are all early in the overtone series.  Let’s take a more careful look at this.  Using the A chord as an example, these notes would be A, C# and E.  To see why a major chord is harmonious, it is instructive to look at the intervals instead of just the notes.  An interval is simply defined as the spacing between two notes of a scale.  To fully illustrate the intervals that occur in our major chord, we will need to add an octave “A” note at the top end of our chord (an octave above the root) giving us A-C#-E-A’ (I’ll denote the octave A as A’)

Let’s list all the intervals:

A to A': Octave
A to E: Dominant
E to A’: Sub-dominant
A to C#: Major third
C# to E: Minor third

The most harmonious interval in a major chord is the octave – these notes have exactly the same overtone series, so when played simultaneously, all the overtones add up and reinforce each other.  The next most harmonious interval in our major chord is the dominant (A to E).  This is the next interval (after the octave) that occurs in the overtone series, which means these notes have lots of overtones in common.  It is referred to as the “dominant” interval for that reason. Then comes the other intervals listed above – they are all very early in the overtone series and each pairing of notes have a ton of harmonics in common, which is why a major chord sounds so harmonious.