The "Experiment 3 Tuning" presents a truly unique and complex soundscape for the guitar, moving far beyond conventional tunings. It's explicitly designed around extended chords, offering a rich and somewhat ethereal sonic palette. This re-entrant tuning, where the 3rd string is pitched lower than the 4th, encourages a departure from standard playing techniques and opens up new avenues for arpeggiation and melodic voicings.

Technical Analysis:

• The open strings are tuned as follows, from low to high: A2 - G3# - F4# - E3 - F4# - D5#.
• A key characteristic is its re-entrant nature: the 3rd string (E3) is tuned lower than the 4th string (F4#), creating unexpected intervallic relationships and making it challenging to predict melodic flow across strings in the traditional sense.
• Analyzing the open notes (A, G#, F#, E, D#), if we consider E as a potential root, the notes spell out an E Major 7th chord (E, G#, D#) with added extensions: a perfect 4th (A) and a major 9th (F#). This creates an Emaj7(9,#11) voicing, providing a bright, shimmering, and somewhat Lydian-like quality.
• The intervals between adjacent strings are notably varied:
  • String 6 (A2) to String 5 (G3#): Major 7th up (11 semitones).
  • String 5 (G3#) to String 4 (F4#): Minor 7th up (10 semitones).
  • String 4 (F4#) to String 3 (E3): Minor 3rd down (-3 semitones), highlighting the re-entrant structure.
  • String 3 (E3) to String 2 (F4#): Major 2nd up (2 semitones).
  • String 2 (F4#) to String 1 (D5#): Major 6th up (9 semitones).
• The repetition of F4# on both the 4th and 2nd strings, albeit across the re-entrant jump, can create interesting harmonic resonance and drone possibilities.

Playing Potential:

• This tuning is ideal for fingerstyle playing, allowing the player to explore the intricate open string harmonies.
• The wide and unusual intervals lend themselves well to modern composition, ambient music, and experimental genres where traditional chord shapes are less of a concern.
• Open string chords derived from the Emaj7(9,#11) voicing will resonate richly. Sliding into inversions of this chord or exploring arpeggios that span multiple non-adjacent strings due to the re-entrancy will yield unique sounds.
• Due to the complex nature, developing new fretboard navigation patterns will be essential, but also rewarding, for unlocking its full potential.

Here are the specific notes for each string of the "Experiment 3 Tuning":

• String 6 (Low E): A2
• String 5 (A): G3#
• String 4 (D): F4#
• String 3 (G): E3
• String 2 (B): F4#
• String 1 (High E): D5#

How to Tune:

To achieve the "Experiment 3 Tuning," tune your guitar strings as described below. Please exercise caution with large string movements and consider using a different string gauge if tuning outside of a 4 semitone range up or down, as this can affect string tension and guitar setup.

• String 6: Tune up 5 semitones to A2. (This significant upward tension may require a heavier gauge string.)
• String 5: Tune down 1 semitone to G3#.
• String 4: Tune up 4 semitones to F4#. (This upward tension may benefit from a heavier gauge string.)
• String 3: Tune down 3 semitones to E3.
• String 2: Tune down 5 semitones to F4#. (This significant drop in tension may require a lighter gauge string.)
• String 1: Tune down 1 semitone to D5#.

For string movements that are 4 semitones or more (either up or down), like String 6 (+5), String 4 (+4), and String 2 (-5), it is generally advisable to consider adjusting your string gauge to maintain optimal string tension and avoid potential issues with intonation or guitar setup.