User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning: Difference between revisions

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 # If there are still spots left open, then they should be filled by every prime 13 and up which the EDO approximates with less than 35% relative error, preferencing the lowest primes first, until all spots are filled
-=== EDOs with 53 or more tones/octave ===
+=== EDOs with 53 to 71 tones/octave ===
 # The subgroup should have 8 basis elements
 # Primes 3, 5, 7 and 11 must be added to the subgroup
 # If any primes 3, 5, 7 or 11 have more than 40% relative error, then they should be made a dual prime
-# If there are more than 3 dual-primes, then only the two lowest dual-primes should be kept dual, and the rest made single again
+# If there are more than 3 dual-primes, then only the three lowest dual-primes should be kept dual, and the rest made single again
 # If there are still spots left open, then they should be filled by every prime 13 and up which the EDO approximates with less than 35% relative error, preferencing the lowest primes first, until all spots are filled
+=== EDOs with 72 or more tones/octave ===
+# The subgroup should have 9 basis elements
+# Primes 3, 5, 7, 11 and 13 must be added to the subgroup
+# If any primes 3, 5, 7, 11or 13 have more than 40% relative error, then they should be made a dual prime
+# If there are more than 4 dual-primes, then only the four lowest dual-primes should be kept dual, and the rest made single again
+# If there are still spots left open, then they should be filled by every prime 17 and up which the EDO approximates with less than 35% relative error, preferencing the lowest primes first, until all spots are filled
 == List of subgroups by EDO ==
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 === Schoolbus EDOs    (35-54) ===
+; 7 basis elements
 * [[35edo]]: 2 • ''3+'' • ''3-'' • 5 • 7 • 11 • 17    (''dual'')
 * [[36edo]]: 2 • 3 • ''5+'' • ''5-'' • 7 • ''11+'' • ''11-''    (''dual'')
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 === Double-decker EDOs    (55-74) ===
-''(May complete later.)''
+; 8 basis elements
+* [[55edo]]: 2 • 3 • 5 • ''7+'' • ''7-'' • 11 • 17 • 23    (''dual'')
+* [[56edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[57edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[58edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[59edo]]: 2 • ''3+'' • ''3-'' • 5 • 7 • 11 • 13 • 17    (''dual'')
+* [[60edo]]: 2 • 3 • 5 • ''7+'' • ''7-'' • ''11+'' • ''11-'' • 13    (''dual'')
+* [[61edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[62edo]]: 2 • 3 • 5 • 7 • ''11+'' • ''11-'' • 29 • 31    (''dual'')
+* [[63edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 23 • 29    (''no-n'')
+* [[64edo]]: 2 • ''3+'' • ''3-'' • ''5+'' • ''5-'' • 7 • ''11+'' • ''11-''    (''dual'')
+* [[65edo]]: 2 • 3 • 5 • ''7+'' • ''7-'' • 11 • 19 • 23    (''dual'')
+* [[66edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[67edo]]: 2 • 3 • ''5+'' • ''5-'' • 7 • 11 • 13 • 17    (''dual'')
+* [[68edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[69edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 17 • 19    (''lim'')
+* [[70edo]]: 2 • 3 • ''5+'' • ''5-'' • ''7+'' • ''7-'' • 11 • 13    (''dual'')
+* [[71edo]]: 2 • ''3+'' • ''3-'' • 5 • 7 • 11 • 13 • 17    (''dual'')
+; 9 basis elements
+* [[72edo]]: 2 • 3 • 5 • 7 • 11 • ''13+'' • ''13-'' • 17 • 19    (''dual'')
+* [[73edo]]: 2 • 3 • ''5+'' • ''5-'' • 7 • ''11+'' • ''11-'' • 13 • 19    (''dual'')
+* [[74edo]]: 2 • 3 • 5 • 7 • 11 • 13 • 19 • 23 • 31    (''no-n'')
 == Notation of dual-3 EDOs ==