Most Alien Intervals from 13 to 53 tet
Most Alien Intervals: EDT 13 through 53 For each equal division of the octave (EDT), the three intervals whose cent values lie furthest from any interval in 12-TET are identified. Distance (Δ) is measured as the minimum absolute difference in cents from the nearest 12-TET pitch class (0, 100, 200 … 1200¢). These maximally alien intervals represent each tuning system's irreducible sonic identity — the pitches that cannot be heard as mistuned versions of familiar intervals. Criterion: Peter Thoegersen — intervals maximally distant from 12-TET equivalents as primary cells for polymicrotonal pitch grammar. EDT Step (¢) Rank 1 — Degree (¢) | Δ from 12-TET Rank 2 — Degree (¢) | Δ from 12-TET Rank 3 — Degree (¢) | Δ from 12-TET 13-TET 92.308 Deg 6: 553.85¢ | Δ46.15¢ Deg 7: 646.15¢ | Δ46.15¢ Deg 5: 461.54¢ | Δ38.46¢ 14-TET 85.714 Deg 3: 257.14¢ | Δ42.86¢ Deg 4: 342.86¢ | Δ42.86¢ Deg 10: 857.14¢ | Δ42.86¢ 15-TET 80 Deg 2: 16...