Battaglia chord

The battaglia chord is an essentially tempered dyadic chord of marvel temperament, the marvel (225/224) tempered version of

• 1–5/4–7/5–3/2–7/4–15/8, with steps 5/4, 9/8, 15/14, 7/6, 15/14, 15/14.

It was considered by Mike Battaglia, who regards it as "trippy". Although the octave-reduced voicing for this chord is 1–5/4–7/5–3/2–7/4–15/8, a simpler and less compact voicing is 1–3/2–5/2–7/2–15/4–45/8, or 8:12:20:28:30:45. Other less compact voicings are also likely to be preferred, for instance 1–5/4–7/5–7/4–3–15/4, etc.

An example of a musical fragment built around this chord can be found at the end of this example: Happy Birthday by Mike Battaglia.

This chord is noteworthy for existing in 12edo, although its intonation can much be improved in a tuning such as 22edo, 31edo, or 53edo.