12 Sounds, 21 Symbols and 15 Keys – by Mike Overly

January 20, 2015

Math ParabolaOne octave has 12 sounds and 21 letter, tone, and staff note symbols: 7 (natural) + 7# (sharp) + 7b (flat) = 21 symbols. Now, the question becomes: are there 21 major scales?  The simple answer is yes – but to spell them we need more than 21 symbols. For example, we can easily play a G# major scale, but to spell it we need a double sharp symbol: G# A# B# C# D# E# F##.  The same is true for the Fb major scale: easy to play, but to spell it a double flat is needed: Fb Gb Ab Bbb Cb Db Eb.  Said a different way, the reason why there are only 15 traditional major scales is because there are only 21 symbols from which to spell – and you can only spell 15 major scales with those 21 symbols! In other words, to spell any other major scales, not listed below, we would need additional double sharp and double flat symbols.

Notice that even though each major scale has a different letter spelling, they all have the same tone number spelling: 1 2 3 4 5 6 7. Traditional music theory call tone numbers, scale degrees. The different letter spellings are the result of applying the major scale interval pattern (2 frets – 2 frets – 1 fret, 2 frets – 2 frets – 2 frets – 1 fret) to each of the 15 traditional major scale letter spellings. In other words, there are 15 major scales, in 15 major keys, that are known by their 15 major key signatures. See Guitar EncycloMedia page 15.

15 Major Scale

For now, key will simple be the letter of tone 1, also known as the root or the tonic. For example, if we are in the key of C major, then the letter C is tone 1, and the key signature is 7 naturals. In the next lesson we will learned how to connect 12 sounds and 21 symbols on the fretboard, in a perfect 4th and perfect 5th interval sawtooth pattern. But for now, let’s illustrate this 4th and 5th interval pattern as a “circle” of 15 perfect 4th and perfect 5th related major keys and relative minor keys.

Parabola

It’s important to remember that up a perfect fourth arrives at the same letter as down a perfect fifth, but sounds one octave higher in pitch. In contrast, down a perfect fourth arrives at the same letter as up a perfect fifth, but sounds one octave lower in pitch. This is known as the rule of nine. What becomes apparent as we look at this new parabolic view of of 4ths and 5ths, is that the “circle” of 4th & 5th intervals is not a circle at all, but rather a parabola! Simply stated, a parabola is two curved lines that start at the same place, in this case C, but end at two different places, in this case Cb and C#. The parabola view shows us an important fact — the only way to create a circular motion is to modulate (change keys) at one of the three enharmonic keys: Db/C#, Gb/F# or Cb/B and continue in the same direction toward “home.”  See Guitar EncycloMedia page 42.

The point of all this will become more meaningful when we begin to explore harmony progressions.

’til next time, have some parabolic fun, no matter what key you’re in… I’ll be listening!

http://www.12tonemusic.com/guitar/encyclomedia


Improve Your Improvisation – by Mike Overly

October 2, 2014

Improv SignHere is something surprising. Even if you know the key signature of a song, you still don’t know what key you are in. This is because one key signature represents two keys: one major key and one relative minor key. And even after analyzing a song to determine the correct key, you might not be able to improvise. This is because you still need to know what scale to play. As we will learn in this lesson, that’s not always an easy choice to make.

Let’s begin with a traditional definition of improvise, also known as extemporize. Improvise is the creative activity of immediate, in the moment, musical composition. Improvisation combines spontaneous theoretical and technical actions coupled with the communication of feelings and emotions. Improvisation may also include immediate responses to other musicians. Individual musical ideas of improvisation are united on the ground of shared harmonic changes, called chords. And because improvisation is a performative action, which depends on instrumental technique, a major component of improvisation is skill. It’s important to remember that there are musicians who have never improvised, and there are other musicians who have devoted their entire lives to improvisation.

In contrast to the above complex definition, I simply define improvise as: free to choose. By this I mean, the improvisational musician is free to choose any scale or mode that they think sounds good with any chord harmony. For this lesson, let’s simply define a mode as an altered scale. Now, what’s important to remember is that the improvisor is the authority. The improvisor plays what sHe likes, to express how sHe feels!

Improvisational music of “uncertainty” differs from traditional music of “certainty” in that improvisational music enfolds, whereas traditional music unfolds. By that I mean, traditional music begins with one scale which unfolds into many chords with certainty, whereas, improvisational music begins with one chord that enfolds many scales with uncertainty.

With this elementary beginning, we can now understand that improvisational music is the enfolding of one chord into many scales and modes. In other words, improvisation is the traditional unfolding music process reversed in an enfolded retrograde manner. Said in a different way, in traditional music the scale is known first and from that known scale you spell the harmony. In contrast, in improvisational music the harmony is known first and then you are free to choose any scale or mode that you feel sounds good with that harmony. Remember, the choice is always yours.

There are many, many scales and modes that may be played with any given chord. For example, a major chord triad contains the scale degree tone numbers 1 3 5, and any scale or mode that contains these tone numbers may be played. However, don’t forget, this is just a beginning, as there are no right or wrong sounds in improvisation – there are only sounds that you like. Said one more time, as an improvisor, you are free to choose any scale or mode you wish ~ it’s all about you!

The following are a few of the many scales and modes that you may choose to play with the major chord, tones 1 3 5 (one, three, five). At first, a scale or mode may sound unfamiliar and weird to you, that’s okay, just keep playing until that scale or mode becomes familiar. At that point, you will begin to “like it” and begin incorporating it into your improvisation.

Major pentatonic: 1 2 3 5 6
Scriabin: 1 b2 3 5 6
East Indian: 1 3 4 5 b7
Ionian mode: 1 2 3 4 5 6 7
Lydian mode: 1 2 3 #4 5 6 7
Mixolydian mode: 1 2 3 4 5 6 b7
Melodic minor lydian mode: 1 2 3 #4 5 6 b7
Melodic minor mixolydian mode: 1 2 3 4 5 b6 b7
Harmonic minor aeolian mode: 1 #2 3 #4 5 6 7
Hungarian major: 1 #2 3 #4 5 6 b7
Byzantine: 1 b2 3 4 5 b6 7
Hundusian: 1 2 3 4 5 b6 b7
Octotonic hybrid: 1 2 3 4 b5 5 6 7
Symmetric hybrid: 1 b2 b3 3 b5 5 6 b7
Novem hybrid: 1 2 3 4 b5 5 6 b7 7
Taurus hybrid: 1 b2 b3 3 4 5 #5 6 7
OverMoto hybrid: 1 b2 2 3 4 b5 5 b6 6 b7 7

This same improvisational approach may be applied to the minor chord, tones 1 b3 5 (one, flat three, five).

Minor pentatonic: 1 b3 4 5 b7
Balinese: 1 b2 b3 5 b6
Japanese Hiro-Joshi: 1 2 b3 5 b6
Hawaiian: 1 2 b3 5 6
Scriabin minor: 1 b2 b3 5 6
Dorian mode: 1 2 b3 4 5 6 b7
Phrygian mode: 1 b2 b3 4 5 b6 b7
Melodic minor ionian mode: 1 2 b3 4 5 6 7
Melodic minor dorian mode: 1 b2 b3 4 5 6 b7
Harmonic minor ionian mode: 1 2 b3 4 5 b6 7
Harmonic minor lydian mode: 1 2 b3 #4 5 6 b7
Natural minor ionian mode: 1 2 b3 4 5 b6 b7
Natural minor lydian mode: 1 2 b3 4 5 6 b7
Natural minor mixolydian mode: 1 b2 b3 4 5 b6 b7
Neopolitan minor: 1 b2 b3 4 5 b6 7
Hungarian minor: 1 2 b3 #4 5 b6 7
Moroccan: 1 2 b3 #4 5 b6 b7
Romanian: 1 2 b3 #4 5 6 b7
Taurus hybrid: 1 b2 b3 3 4 5 #5 6 7

And finally, this improvisational approach may be applied to the suspended chord, tones 1 #3 5 (one, sharp three, five).

Scriabin: 1 b2 #3 5 6
Japanese Kumoi-Joshi: 1 b2 #3 5 b6
Japanese Kokin-Joshi: 1 b2 #3 5 b7
Korea Ujo: 1 2 #3 5 6
Egyptian: 1 2 #3 5 b7
Korea P’yongjo: 1 2 #3 5 6 b7
Pacific suspended: 1 2 #3 #4 5 6 b7
Lydian suspended: 1 2 #3 #4 5 6 7
Morollian: 1 2 #3 #4 5 b6 b7
Tarrian: 1 #2 #3 #4 5 6 7
Sharno: 1 b2 #3 #4 5 b6 b7
Diamond suspended: 1 b2 #3 #4 5 6 7
Enigmatic hybrid: 1 b2 #3 #4 5 #5 #6 7
Romanian suspended: 1 2 #3 #4 5 6 b7
Belmontian hybrid: 1 b2 2 #3 b5 5 b6 6 b7 7

As was said earlier, there are many more scales and modes that may be learned and applied to chords, so, be sure to study pages 296 and 297 of Guitar EncycloMedia to discover other choices. http://www.12tonemusic.com/guitar/encyclomedia/

‘til next time, have some improvisational fun, no matter what chord you’re playing… I’ll be listening!

www.12tonemusic.com


If You Move Two Frets, You’ve Moved To Far – by Mike Overly

July 31, 2014

Barre Guitar ChordWouldn’t you like to change chords faster? You could if you played them closer.

Where do chords originate? The simple answer is: from the letters and tone numbers of a scale. In other words, it’s just like the Scrabble® word game. You know how to play that game, select some letters and then see how many words you can spell with those letters. Well, guess what? Music is exactly the same. You select the letters of a scale and then you see how many chords you can spell with those letters!

Since there are many scales from which you can select letters to spell chords from, we will limit this lesson to the G major scale and its chord triads. A chord triad is harmony of three different letters played simultaneously. Many books have been written about this “music-spelling” game. They are known as Music Theory books. These books go into great detail explaining the rules of spelling such as: intervals, inversions, extensions, alterations and so on, until you become a Ph.D. at the spelling game. But who has that kind of time? So, here’s a very simple concept that will have you easily spelling 7 different chord triads from the G major scale. Ready? Just select “every-other-letter” from the scale. Wow, that sure was simple!

Let’s begin by illustrating the G major scale as letters and scale degree tone numbers in two octaves. Figure 1.

 The following ilustrates the circle-6-2, G major scale as letters and tone numbers on the guitar fretboard. Figure 2.

Now, let’s start the chord triad spelling game. The first chord of the G major scale is the G major chord, which is spelled with three “every-other-letters: G B D. This first chord of the G major scale is symbolized by Harmony Numeral I (one). Figure 3.

Here’s another fun game, find the hidden picture. In other words, find the hidden chord! Do you see the circle 6-1 G major chord hidding within the circle 6-2 G major scale? Here is something interesting. Even though there are only three lettes, this chord has six sounds. Figure 4.

And now, a bit of the rules that was mentioned earlier. Since the G major chord begins on the tone 1 (also known as the root and tonic) of the G Major scale, it is called the I (one) major chord. Scale degrees tone numbers: 1 2 3 4 5 6 7 symbolize single pitches. In contrast, harmony numerals: I ii iii IV V vi viib5 symbolize groups of pitches called chords or arpeggios. Chord tones are played at the same time and arpeggio tones are played one at a time with no sustain. The harmonies I, IV and V are major, while the ii, iii and vi are minor. The viib5 is a minor flat five. Traditional music theory calls harmony seven of the major scale: diminished.

Now, let’s proceed. In the key of G major, the ii minor chord is A minor (Am, A C E) and is shown in circle 6-3. Figures 5 and 6.

The iii minor chord is B minor (Bm, B D #F) shown in circle 5-1. Figures 7 and 8.

The IV major chord is C major (C E G) also in circle 5-1. Figures 9 and 10.

The V major chord is D major (D F# A) in circle 5-4. Figures 11 and 12.

The vi minor chord is E minor (Em, E G B) in circle 4-1. Figures 13 and 14.

And finally, the viib5 minor flat five chord is F#mb5 (F#mb5, F# A C) in circle 6-1 and circle 4-1. As we previously said, traditional theory  calls this a diminished triad. Figures 15, 16 and 17.


As you can now see, all the chords of the G major scale, or any scale for that matter, are within one fret of any other chord. You can’t get any closer, or faster, than that!

So, ’til next time, have some fun playing closer and faster chord changes… I’ll be listening!

http://www.12tonemusic.com


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