Wizardharry chords

Wizardharry chords are essentially tempered chords tempered by the wizardharry comma, 4000/3993.

The wizardharry temperament has a seven-tone scale which consists of a chain of six submajor seconds, of size approximately 11/10, and a whole tone of size approximately 9/8, which closes at the octave since the wizardharry comma is tempered out. It contains two triads, four tetrads and two pentads as 33-odd-limit essentially tempered chords.

The triads are

• 1-11/10-40/33 chord with steps of 11/10-11/10-33/20;
• 1-40/33-22/15 chord with steps of 40/33-40/33-15/11.

The tetrads are

• 1-11/10-40/33-4/3 chord with steps of 11/10-11/10-11/10-3/2;
• 1-11/10-40/33-22/15 chord with steps of 11/10-11/10-40/33-15/11, and its inverse
• 1-40/33-4/3-22/15 chord with steps of 40/33-11/10-11/10-15/11;
• 1-40/33-22/15-16/9 chord with steps of 40/33-40/33-40/33-9/8.

The pentads are

• 1-11/10-40/33-4/3-22/15 chord with steps of 11/10-11/10-11/10-11/10-15/11;
• 1-40/33-4/3-22/15-16/9 chord with steps of 40/33-11/10-11/10-40/33-9/8.

Equal temperaments with wizardharry chords include 7, 15, 22, 29, 43, 50, 58, 65, 72, 80, 87, 94, 137, 152, 159, 217, 224 and 289.