Ukulele ADAPTED MUSIC THEORY For GCEA TUNING

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UKULELE ADAPTEDMUSIC THEORYFOR GCEA TUNINGJohn Timney

ContentsGetting Started. 3How to Use This Book . 4Notes . 5Exercise 1 - Notes . 7The Capo . 8A Bit of Physics . 9Chords and other Notation .10Major Keys .12C Major .12Other Major Keys .13So which chords should you learn? .15Exercise 2 – Major Keys .17Minor Keys .18Chords .20Major Chords .22Exercise 3 – Major Chords .23Minor Chords .24Exercise 4 – Minor Chords.257th Chords .26Exercise 5 – 7th Chords .27Inversions .28Exercise 6 – Inversions of Common Chords .29Minor 7th Chords .30Exercise 7 – Minor 7th and Equivalent 6th Chords .31Major 7th Chords .32Exercise 8 – Major 7th Chords .33Diminished and Diminished 7th Chords .34Exercise 9 – Diminished 7th Chords .36Augmented Chords .37Exercise 10 – Augmented Chords .38th6 Chords .39Suspended 2nd and 4th Chords .40Exercise 11 – Suspensions.42Added 9th Chords and 9th Chords .43Minor 6th Chords .445th Chords .45Exercise 12 – Rarer Chords .46Changing Key.471 Page

Exercise 13 – Transposition Practice .48Questionable Chords .50Chords You’ve Never Seen Before .51How Chords Develop .52C Chord Family .53G Chord Family .54D Chord Family .55A Chord Family .56F Chord Family.57B Chord Family .58E Chord Family .59Synoptic Questions .60Summary .62Appendices.63Appendix 1: Characteristics of the Different Keys .63Appendix 2: Scales in the Common Keys .64Appendix 3: Chord Builder .65Answers to Exercises .662 Page

Getting StartedThis guide to music theory for the omnipresent family of ukuleles is written for the tunedCONCERT/TENOR UKULELE to GCEA. If you want the equivalent book forBARITONE UKULELE (DGBE tuning) it is available from the same place1.The ukulele is popular (and becoming more so) for several perfectly good reasons: You can get started for quite a low priceThere is scope to increase the quality of your ukulele (both in price and inmusical quality)You can sing and play at the same timeThe ukulele is MUCH easier to play than the guitarHaving been an avid guitar player most of my life (I got my first guitar aged 15 and thatwas 46 years ago) I switched to the ukulele as age caught up with my not-as-fast-asthey-used-to-be fingers. I could have switched to the tenor guitar but I think that mostof these are a bit on the ugly side and they are usually very expensive. I’m not sure Iunderstand why that is, to be honest.I have noticed that most ukulele players are not dyed-in-the-wool musicians.Generally, they are people who know a few chords and like to think they can sing a bit.I’m not a musician either2 so much of what is in this book is “pragmatic music theory”.If I can understand this stuff, I’m sure you can too.I’m assuming several things: You can count up to 13 (although “up to 8” might be enough)You know that a scale is Do-Re-Mi-Fa-Sol-La-Ti-DoYou are happy enough just using a standard western scale rather than anythingexotic. If you were expecting the Phrygian dominant scale or the Byzantinescale you are going to be disappointed.You are not tone deaf (this is actually very rare so you probably aren’t)The symbols for sharp (#) and flat ( ) are familiar to youRight through this book I will be using the flat ( ) symbol for notes but I will use theregular keyboard symbols # and b for sharps and flats within chords. So, talking aboutthe B-flat chord you will get [Bb] but for the B-flat note you will get B . Sharps do notpresent any problem although the # (hash) is a little different from the (sharp) symbol.This is simply a reflection on how ukulele music is presented in general. Across theinternet, the chord of B-flat is written as [Bb] with the only variety being in the type ofparenthesis used. We only rarely use the sign for “natural” ( ) in this book, in caseyou haven’t seen it m a Chemistry Teacher3 Page

How to Use This BookI just admitted at the bottom of the previous page that I’m a teacher so you might expectthis guide to ukulele music theory to have exercises to check your learning andunderstanding as you go along.You’d be right.At the end of most sections you will be confronted with some things to have a go at,just to see whether you are comfortable with what has gone before.Unlike most (all?) other music theory books, you are not going to be faced withmusic notation. This is for ukulele players, not musicians3. The Venn4 diagram belowillustrates what I mean by that statement:OthersUke PlayersMusiciansThere are uke players who are musicians and those who aren’t. There are musicianswho are uke players and those who aren’t. Some poor folk aren’t either. Let’s use abit of Boolean5 symbolism here. If you are a Uke Player AND Musician (i.e. in theoverlap area) you probably don’t need this book. If you are a Musician NOT a UkePlayer you really don’t need this book. If you are in the “Others” you certainly don’tneed this book. So it is really aimed at those in the pale blue zone.If you see yourself as being in the pale blue zone, this book is for you.I see myself as being in the pale blue zone.3No irony or disparagement intended!Named after John Venn who created such things5Named after George Boole who started this whole AND, OR, NOT stuff.44 Page

NotesThe standard tuning for the Soprano or Concert Ukulele6 is GCEA, where the Gstring is tuned “high” to give the “my dog has fleas” tuning. This is called a re-entrantG string and is unlike anything you would find on a guitar where the strings start withthe lowest and go through to the highest. Most Tenor Ukuleles are also tuned with thisre-entrant string too although a decent percentage do not have the re-entrant G stringand this is the lowest, fattest string tuned lower than the C string. The most commontuning of the Baritone Ukulele is DGBE. Again, there is a possible re-entrant tuningwith the D string tuned high or (alternatively and possibly more commonly) tuned low.The notes produced on the four strings of the Concert/Tenor Ukulele fretboard are GCEAG#/A C#/D FA#/B ADF#/G BA#/B D#/E GCBEG#/A C#/D CFADDon’t worry if this looks a little bit complicated at the minute. It becomes simpler. Mostof this book is about chords, not notes.You will probably notice straight away that there are notes which only have one letteron them and notes that have two. Imagine you are playing a note somewhere on a6The little ukuleles, as I think of them5 Page

ukulele. If you slide your finger one fret up the fretboard (towards the sound hole) youwill have “sharpened” the note. If you slide your finger one fret down the fretboard youwill have “flattened” the note. Now that “sharp” you played was a “flat” coming theother way, so every sharp note is the same ( ) as the next flat note:A# B C# D D# E F# G G# A The reason that some are missing from this list is that they are only separated from thenext note by one fret so E# F, for example. So we don’t generally use E#. The sameis true for B#. It is the same as C.6 Page

Exercise 1 - NotesUsing the diagrams on the previous page work out what the following notes are on theConcert/Tenor Ukulele:a) 1st string openb) 2nd string openc) 3rd string opend) 4th string opene) 1st string 3rd fretf) 4th string 2nd fretg) 2nd string 4th freth) 1st string 5th freti) 3rd string 4th fretj) 2nd string 5th fret7 Page

The CapoThe capo is a device that can be placed across the fretboard on a ukulele to raise thepitch of the strings. If you are playing something in C major and it is a bit low for yoursinging voice, a capo across the second fret will raise it to D major without you havingto do anything like transposing7 in your head or learning new chords.The capo is usually a nicelyworked piece of metal with a goodspring in it. There is a typicalcapo pictured on the right. Indesperation a few years ago Iused a pencil and two fat rubberbands. It worked.The capo works pretty well up tothe 3rd fret on smaller ukulelesand even up to the 4th or 5th freton tenor ukes. Past that, the fretsget a bit close together andgetting your fingers into the smallspace available is difficult.If you haven’t got a capo, get one.Typing “ukulele capo” into the Amazon search box works well. They cost very little.You can get a very good quality capo for under 10.7Changing a key8 Page

A Bit of PhysicsYou can skip this bit if you don’t like equations and/or numbers.Although we remember Pythagoras for his “square on the hypotenuse ” stuff, it wasin music that he made (I think) his most important contributions.Imagine a taut string. Like a ukulele string. Not really that hard to imagine.Pythagoras proposed that the fundamental frequency (f) is inversely proportional to thelength (L) of the string.1𝑓 𝐿So (this is what the “inversely proportional” stuff means), if you halve the length youwill double the frequency. Pythagoras also found that the notes that “went well”together were related to simple fractions of the original string. A long time later, MarinMersenne8 fleshed this out a lot and gave us three laws that can be combined into oneequation.In Physics-speak and plain English these are:PhysicsPlain EnglishFrequency is inversely proportional tothe length of the string.The shorter the string the higher thenote. Frets help with this idea.Frequency is proportional to the squareroot of the stretching forceTightening up a string will make the notehigher. That’s a common experience.Frequency is inversely proportional tothe mass of the string per unit lengthFat strings make lower notes than thinstrings.Put these together and you get:1 𝐹 𝑓 2𝐿 𝜇Where f is the lowest frequency (you can get harmonics mixed in), L is the length, Fis the stretching force and is the mass per unit length.Amazing. But pretty obvious.8“The Father of Acoustics”9 Page

Chords and other NotationWhen you get a piece of ukulele music to play it is most usually written with what arecalled inline chords. Throughout this guide, these chords will be in red. Just to standout. The big advantage of inline chords is that you can fit a lot of music on to one pageso you don’t need to turn pages. We will use inline chords (contained within squarebrackets)9 throughout this guide.The thing about ukulele music like this is that you really do need to know the songbefore you play it. You could put an unknown, unseen piece of music in front of areally good musician and they would be able to play it first time. That isn’t the casewith inline chords.For example, a line or two from Rhythm of the Rain by The CascadesIntro: [C][Am][C][G7][C]Listen to the rhythm of the [F] falling rain[C]Telling me just what a fool I've [G7] beenI [C]wish that it would go and let me [F] cry in vainAnd [C]let me be a-[G7]lone a-[C]gain [G7]The [C][Am][C][G7] at the start tells you that you have four bars as an introduction. Ifyou know this song, you will know that it is in 4:4 time (four beats to the bar) and that[C][Am][C][G7] will be four beats of [C] followed by four beats of [Am] then the samefor another bar of [C] and finally a [G7]. Sixteen beats in total.One you get to the lyrics you have a [C] on the “L” of “Listen”. When songs are writtenin ukulele style the chords are placed just in front of the words where the chord applies.You will notice “a-[G7]lone a-[C]gain [G7]” in the last line. The [G7] comes in on the“lone”. The [C] comes in at “gain”.A chord is always a combination of notes. The smallest combination of notes is two(and we do see this in 5th chords or “power chords” as rock guitarists call them). The5th chords are something of an exception though. Chords are normally at least threedifferent notes and a lot of chords have 4 notes. However, the ukulele has only gotfour strings so chords having more than four notes are not possible. Chords such as[F#m7add4add9] just don’t work on a ukulele. The [F#m7] bit requires four notes (F#,A, C# and E). The add4 (add the 4th) is B and the add9 (added 9th) is a G#. That’s sixnotes for four strings. Not possible, so don’t expect to see chords like this.This book (and this is the last time I’m going to say it) is for GCEAtuned ukuleles. So when you see a chord like that on the right youknow it is a form of the [F] chord and, in numbers we would describe itas 2010.You will regularly come across an exclamation mark after a chord inukulele sheet music. This is a “splang” or a single strum (often with abit of extra force).9People us normal brackets (Cm) and curly brackets {Cm} too. I don’t.10 P a g e

Sometimes you might see chords which are exactly equivalent (in ukulele terms). Forexample [D6] and [Bm7] both contain the same four notes (D, F#, A and B) and, atbest, are inversions10 of each other. This gets explained later. There are LOTS ofexamples of this kind of thing.Right through this book you will see chord diagrams with dots on them to show youwhere your fingers go (like the one on the previous page). Where a string is left “open”(i.e. there is no finger pressing down on it at any point) it is assumed to be played. Youoften see chords like X232 where the X means “don’t play this string”. To be honest, Ican’t be bothered with such things. The uke only has four strings. Play them all! Ifyou want to play a balalaika that’s fine but you are going to need another book.Meanwhile, let’s return to basics.10Same notes in a different order. C E G has E G C and G E C as inversions11 P a g e

Major KeysMajor keys all follow the Do-Re-Mi-Fa-Sol-La-Ti-Do11 pattern. What key they actuallyare depends on the pitch of the “Do” (with a long “o” to rhyme with “foe”). You willprobably know the “Do-a deer” song from The Sound of Music with the incomparableJulie Andrews. That’s the usual Western musical scale.C MajorThe “simplest” key (in that there are no sharp or flat notes) is C major where “Do” isthe C note. On a piano this means “just the white notes starting with C”.C major12CDDoRe3EMi4FFa5GSol6ALa7BTi8CDoYou will notice that the 8th note is the same as the 1st note, only an octave12 higher.With each major key comes a set of chords.A chord (we’ve said this already) is a combination of notes. The chords in the tablebelow are all triads (three notes) apart from [G7] which has four notes. Because thekey of [C] has no sharps or flats, none of these chords have any sharps or flats.For C major:C ABCDEFFThe 5th chord in the sequence is called the Dominant. Although it is quite alright toplay the dominant chord “as is”, it is often played as the 7th chord. So, [G] becomes[G7] in a lot of songs in the key of [C].1112Sometimes you see “Ti” written as “Te”. Like it matters.An octave is so named because it is 8 notes higher. There isn’t a “zero” in Music.12 P a g e

This makes the 4th chord, [F], the Sub-Dominant.The 6th chord, [Am], is the Relative Minor.This same pattern is repeated through all the major keys. Knowing the 4th, 5th and 6thchords in a major key is a big help.Other Major KeysWhen you start at different notes (to accommodate the range of a singer, for example),there needs to be sharps or flats introduced to ensure that this Do-Re-Mi pattern ismaintained.So, sharps and flats If you play an D on a GCEA-tuned ukulele you would (probably) be playing the notefrom the 2nd fret on the 3rd string. D# would be on the 3rd Fret and D would be on the1st Fret. So a sharp raises the pitch of the note by one fret and a flat lowers the pitchof a note by one fret.Just a reminder: In most p

This guide to music theory for the omnipresent family of ukuleles is written for the tuned CONCERT/TENOR UKULELE to GCEA. If you want the equivalent book for BARITONE UKULELE (DGBE tuning) it is available from the same place1. The ukulele is popular (and becoming more so) for several perfectly good reasons:

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