21edo: Difference between revisions
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remove table "Differences between distributionally-even scales and smaller edos" |
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Of harmonics 3, 5, 7, 11, and 13, the only harmonic 21 EDO approximates with anything approaching a near-Just flavor is the 7th harmonic. On the other hand, 21 EDO provides exceptionally accurate tunings of the 15th, 23rd, and 29th harmonics (within 3 cents or less), as well as a very reasonable approximation of the 27th harmonic (around 8 cents sharp). As such, treating 21 EDO as a 2.7.15.23.27.29 subgroup temperament allows for a more accurate JI interpretation of the tuning, since almost every interval in 21 EDO can be described as a ratio within the 29-odd-limit. 21 EDO also works well on the 2.9/5.11/5.13/5.17/5.35/5 subgroup, which is possibly a more sensible way to treat it. | Of harmonics 3, 5, 7, 11, and 13, the only harmonic 21 EDO approximates with anything approaching a near-Just flavor is the 7th harmonic. On the other hand, 21 EDO provides exceptionally accurate tunings of the 15th, 23rd, and 29th harmonics (within 3 cents or less), as well as a very reasonable approximation of the 27th harmonic (around 8 cents sharp). As such, treating 21 EDO as a 2.7.15.23.27.29 subgroup temperament allows for a more accurate JI interpretation of the tuning, since almost every interval in 21 EDO can be described as a ratio within the 29-odd-limit. 21 EDO also works well on the 2.9/5.11/5.13/5.17/5.35/5 subgroup, which is possibly a more sensible way to treat it. | ||
== Intervals == | == Intervals == | ||