September chords

September chords are essentially tempered dyadic chords tempered by the september comma, 715/714.

September temperament contains many possibilities for essentially tempered dyadic chords including 20 triads in the 17-odd-limit.

For triads, there are 10 pairs of chords in inverse relationship. The inversely related pairs of chords are:

• 1–14/11–5/3 chord with steps of 14/11, 17/13, 6/5, and its inverse
• 1–6/5–11/7 chord with steps of 6/5, 17/13, 14/11;
• 1–12/11–10/7 chord with steps of 12/11, 17/13, 7/5, and its inverse
• 1–7/5–11/6 chord with steps of 7/5, 17/13, 12/11;
• 1–14/13–5/3 chord with steps of 14/13, 17/11, 6/5, and its inverse
• 1–6/5–13/7 chord with steps of 6/5, 17/11, 14/13;
• 1–13/12–7/5 chord with steps of 13/12, 22/17, 10/7, and its inverse
• 1–10/7–24/13 chord with steps of 10/7, 22/17, 13/12;
• 1–13/12–14/11 chord with steps of 13/12, 20/17, 11/7, and its inverse
• 1–11/7–24/13 chord with steps of 11/7, 20/17, 13/12;
• 1–12/11–13/7 chord with steps of 12/11, 17/10, 14/13, and its inverse
• 1–14/13–11/6 chord with steps of 14/13, 17/10, 12/11;
• 1–11/9–17/13 chord with steps of 11/9, 15/14, 26/17, and its inverse
• 1–15/14–17/13 chord with steps of 15/14, 11/9, 26/17;
• 1–13/9–17/11 chord with steps of 13/9, 15/14, 22/17, and its inverse
• 1–15/14–17/11 chord with steps of 15/14, 13/9, 22/17;
• 1–14/11–13/9 chord with steps of 14/11, 17/15, 18/13, and its inverse
• 1–18/13–11/7 chord with steps of 18/13, 17/15, 14/11;
• 1–18/11–13/7 chord with steps of 18/11, 17/15, 14/13, and its inverse
• 1–14/13–11/9 chord with steps of 14/13, 17/15, 18/11.

Equal temperaments with september chords include 31, 41, 46, 72, 87, 94, 103, 111, 121, 140, 183, 224 and 270.