Magic Guitar: Difference between revisions

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E major chords can also be played with an added harmonic seventh fretted to turn B₁ into the semitoe below D₂. The same fret gives a C harmonic seventh chord. In both cases, the approximate 7/6 fret turns a 6 into a 7. Sadly, the standard shape for G7 inconsistent with a harmonic seventh.

The two tunings of the A string give every pitch of 41-edo between them somewhere on the fretboard.

There are variations of standard tuning that retune the two bass strings to fit the home key and tend not to fret them, giving temporary drones. Logic like this is fine with a magic fretting. If you're going to retune the A string to suit the key, why not go the whole hog and tune them how you like so that you only have 4 strings to think about fretting?

=== Major Thirds Tuning ===

The simplest tuning for magic temperament is to tune the open strings to the 5:4 major third that generates the temperament. This minimizes the discrepancies between the strings. Old Spear considers this to be interesting theoretically but tricky in practice. It uses the same chord shapes as on the first three frets of the Kite Guitar. However, most Kite Guitar chords use more than the first three frets, so Old Spear's magic frettings work better with different tunings.

An alternative is to tune three strings to 5:4 and set pairs of three strings an octave apart. This is simpler yet and corresponds more closely to the lines of Tripod Notation.

=== Open Tunings ===

Open tunings will generally work with a magic guitar. You know that at least one chord will work. The frets are chosen to give approximations to simple JI intervals which means that other notes of the key should be there.

As a variation, you could fret a guitar to just intonation ratios that the magic guitar approximates and then tune the open strings to just intonation. For example, frets at 25/24, 16/15, 10/9, 9/8, 7/6, 6/5, 5/4, 4/3, etc, or equivalents with 225:224 tempered out. This will work for a few chords relative to an open tuning but break some transpositions (in the sense of being a little bit out of tune).

=== Fourths Tuning ===

Sorry, fourths tuning doesn't really work with Magic Temperament. Chaining Fourths like that assumes Meantone. Old Spear's Standard Tunings work because they break the chain low down and keep a major third between G and B. You can also include a wolf in a fourths tuning but doing that breaks the isomorphic pattern you wanted and only complicates matters.

[[Category:Guitar]]

[[Category:Skip fretting]]

[[Category:41edo]]

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 E major chords can also be played with an added harmonic seventh fretted to turn B₁ into the semitoe below D₂.  The same fret gives a C harmonic seventh chord.  In both cases, the approximate 7/6 fret turns a 6 into a 7.  Sadly, the standard shape for G7 inconsistent with a harmonic seventh.
+The two tunings of the A string give every pitch of 41-edo between them somewhere on the fretboard.
+There are variations of standard tuning that retune the two bass strings to fit the home key and tend not to fret them, giving temporary drones.  Logic like this is fine with a magic fretting.  If you're going to retune the A string to suit the key, why not go the whole hog and tune them how you like so that you only have 4 strings to think about fretting?
+=== Major Thirds Tuning ===
+The simplest tuning for magic temperament is to tune the open strings to the 5:4 major third that generates the temperament.  This minimizes the discrepancies between the strings.  Old Spear considers this to be interesting theoretically but tricky in practice.  It uses the same chord shapes as on the first three frets of the Kite Guitar.  However, most Kite Guitar chords use more than the first three frets, so Old Spear's magic frettings work better with different tunings.
+An alternative is to tune three strings to 5:4 and set pairs of three strings an octave apart.  This is simpler yet and corresponds more closely to the lines of Tripod Notation.
+=== Open Tunings ===
+Open tunings will generally work with a magic guitar.  You know that at least one chord will work.  The frets are chosen to give approximations to simple JI intervals which means that other notes of the key should be there.
+As a variation, you could fret a guitar to just intonation ratios that the magic guitar approximates and then tune the open strings to just intonation.  For example, frets at 25/24, 16/15, 10/9, 9/8, 7/6, 6/5, 5/4, 4/3, etc, or equivalents with 225:224 tempered out.  This will work for a few chords relative to an open tuning but break some transpositions (in the sense of being a little bit out of tune).
+=== Fourths Tuning ===
+Sorry, fourths tuning doesn't really work with Magic Temperament.  Chaining Fourths like that assumes Meantone.  Old Spear's Standard Tunings work because they break the chain low down and keep a major third between G and B.  You can also include a wolf in a fourths tuning but doing that breaks the isomorphic pattern you wanted and only complicates matters.
 [[Category:Guitar]]
 [[Category:Skip fretting]]
 [[Category:41edo]]