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The "G" tuning with a low "D" is the same as the higher four strings of a standard tuned guitar. Ukulele Chords, "G" Tuning coming at a later date.
See the related books below for a good source of "G" tuning chords.

Movable chord forms are chords containing no open strings. These chords are transposable to different keys by moving each note of the chord the same number of frets up and down the neck.
Each movable form is based on a common open position chord. These movable forms allow you to play chords not found in the open position.
Movable form chords allow you to play in any key and transpose chords and chord progressions to any key. From these basic movable form chords more advanced chords can be created.
Seventh chords like this week's are often misnamed by calling the chord a dominant seventh. This would only be correct in certain uses.
Whether a chord is a Dominant chord refers the its harmonic function within a chord progression. Only if the chord is functioning as a V chord can it be called a dominant chord. We don't call other chords a Tonic Seventh, Sub-Dominant Seventh, Medient Seventh, etc...
For more information on dominant seventh chords see the
UkuleleLesson:
When Is A Dominant Seventh Chord Not A Dominant ?

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This movable form chord, based on the open position chord and can be transposed up and down the fingerboard using the root of the chord and the transposition chart to the right.
The functional range of a chord up the fingerboard of your ukulele depends on the ukulele's size (soprano, concert or tenor), the number of frets to the body (10, 12, 14, etc) and whether you have a cut-away for access to higher frets. Not all chords can be transposed a complete octave (12 frets).
Movable form chords can be used along with open position chords. As you learn more movable form chords you'll have a variety of alternate voicings for any given chord.
These Ukulele Chord of the Week lessons use the roots of a chord to transpose to different keys. Note what string the root is on or would be on if not present in the chord's voicing.
The chord tones come from the scale degrees of a major scale based on the root of the chord. Generically a seventh chord's chord tones are the 1, 3, 5, b7 scale degrees of a major scale and in the case of a G7 chord the chord tones are: G, B, D, F. And specifically for the G7 voicing of this lesson the chord tones are: G, D, F, B.
Knowing the notes or chord tones of the chord can lead to deriving other chords from known chords. This is what we have been doing when creating the additional chords each week.
This week's chord is also closely related to the chord from week 4, G. A G7 can be created by lowering the root G on string 2, two frets.
This transposition chart can be used for any chord with the root, or letter name of the chord on string 4.
Use the Roots (1) of chords to transpose to different keys.
A larger sized transposition chart is available in my book Ukulele Chords. This is the book that these lessons are based on.

Exploring "Jazz" Chords takes the core chords from A Guide to Advanced Chords for Ukulele and shows their use over a variety of common chord progressions based on songs from the standard jazz repertoire.

If your goal is to expand your chord vocabulary, The Advanced Guide to Ukelele Chords Series is your answer. Commonly referred to as "jazz" chords. A Guide to Advanced Ukulele Chords Volume I provides detailed information on voicing 4-part chords.
See the UkuleleLesson on Chord Spelling.
This seventh chord form is a core chord voicing for creating additional 4-part chords. The minimium core set of six 4-part chords to get started with are: 7, maj7, m7, m7b5, dim7, 7+5. A complete core set of eleven is needed to really explore 4-part chords. This set of eleven include the minimium set of six as well as: 6, m6, mL7, dimL7, +L7. To throughly explore these core set of chords and their possible extensions, upper partials and alterations see my book A Guide to Advanced Chords for Ukulele
Here are a couple of additional chords to get you started:
Raise the third (3) of the chord one fret.
Raise the root (1) of a chord two frets. This applies to a 7th, maj7, m7, 6, m6, etc.. Most all 4-part chords can be turned into ninths.
Using the transposition for this weeks chord practice the below progressions.
The Blues are at the heart of all American music. From the Rock, Country and Folk to Jazz. Making the form a great way to get a handle on this weeks chord.
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