Tuning Analysis: D# Experimental Re-Entrant

This is a highly unconventional and intriguing tuning for a standard Guitar, as indicated by the user's provided notes d#a#c#ead# and the descriptive purpose: "my own custom mathy songs, named: goat cought the trope". This context immediately suggests a tuning designed for specific, non-traditional harmonic and melodic exploration, rather than a generic open chord or drop tuning.

The open string notes are D#3, A#3, C#4, E3, A3, D#5 (from low E string to high E string). This arrangement presents several striking features:

• Re-Entrant Nature: The tuning is significantly re-entrant. For instance, the 3rd string (E3) is lower in pitch than both the 4th string (C#4) and the 2nd string (A3). This creates unexpected voicings and fingerings, common in styles like Math Rock or progressive metal, where dense, dissonant or intervallically complex passages are desired.
• Complex Open Voicing: The open strings do not form a single, easily identifiable major or minor chord. The lowest three strings (D#3 A#3 C#4) present a root-fifth-minor-seventh structure (D# minor 7th without the third), which can provide a dark, brooding base. However, the subsequent notes (E3 A3 D#5) introduce further tension and wide intervals, such as a perfect fourth between E3 and A3, and a significant jump to D#5 on the first string.
• Potential Chords and Voicings: Due to its non-standard structure, this tuning is unlikely to yield simple, strummed open chords. Instead, it seems geared towards:
  • Dissonant Clusters: Strumming all open strings will produce a dense, dissonant cluster that is characteristic of experimental and 'mathy' genres.
  • Specific Voicings: Players will likely find specific two or three-string voicings across the neck to create unique harmonic textures. The `D# A# C#` on the lower strings could serve as a foundation for a D# minor 7th sound, while the upper strings' intervals can be exploited for melodic runs or suspended/augmented harmonies.
  • Melodic Opportunities: The re-entrant nature and wide intervals provide a unique fretboard landscape for single-note lines, potentially allowing for unexpected skips and string crossings that are impossible in standard tunings.
• High Top String: The 1st string is tuned to D#5, which is quite high for a guitar, being an octave and a half above the lowest D#3. This could lead to a very bright, almost mandolin-like quality on the highest string, providing contrast.

Overall, this tuning is a powerful tool for a guitarist seeking to break away from conventional harmony and explore truly unique sonic landscapes, perfect for its stated purpose of custom mathy songs.

How to Tune Your Guitar

To achieve the D# Experimental Re-Entrant tuning, follow these precise string adjustments from standard EADGBe tuning:

• 6th String (Low E): Tune down 1 semitone to reach the note D#3.
• 5th String (A): Tune up 1 semitone to reach the note A#3.
• 4th String (D): Tune down 1 semitone to reach the note C#4.
• 3rd String (G): Tune down 3 semitones to reach the note E3.
• 2nd String (B): Tune down 2 semitones to reach the note A3.
• 1st String (High E): Tune down 1 semitone to reach the note D#5.

Please note: While individual semitone movements are within typical ranges for string tension, achieving the specific octave targets (e.g., E2 to D#3 for the 6th string, or E4 to D#5 for the 1st string) from a standard string set may require careful consideration of string gauge or a different string set to ensure proper tension and tone.

Open String Notes

• String 6: D#3
• String 5: A#3
• String 4: C#4
• String 3: E3
• String 2: A3
• String 1: D#5