@@ Line 17: / Line 17: @@
 == How to choose a type ==
-# If the edo has <40% [[relative error]] and <15-20c^ absolute error on all [[prime]]s in a [[prime limit]] 7 or higher, use that prime limit.
+Remember: All of these rules are made to be broken. Bend the rules to fit the EDO. Don't bend the EDO to fit the rules.
-# If the edo has >40% relative error but <15-20c^ absolute error on any primes N where N is 11 or smaller, then use dual-N for all those primes; then also include every other prime as a single-prime up to the last prime before M, where M is the first prime above 11 with >40% relative error.
-# If the edo has >40% relative error and >15-20c^ absolute error on any primes N where N is 11 or smaller, then use no-N for all those primes; then include every other prime up to the last prime before M, where M is the first or second^ prime above 11 to have >15-20c^ absolute error.
-# An addition to the previous step: if the edo approximates any less-than-35ish^ multiple of an excluded prime N, with <15-20c^ absolute error, then turn the edo's subgroup into a composite subgroup, and include that multiple as a [[basis element]].
-# Another addition to the previous step: if the edo approximates any 30-[[integer-limit]] interval of an excluded prime N, with <~10c^ absolute error, then turn the edo's subgroup into a fractional subgroup, and include that multiple as a basis element, or include a fractional basis element which would make that interval accessible.
-# If none of the above cases are true, but the edo has <15-20c^ absolute error on any primes N where N is 11 or smaller on all primes in a prime limit 7 or higher, use that prime limit. If that is the case for all but a small number^ of primes P, then just use the no-P version of the prime limit.
-# Avoid having more than one "no-n" where n is a prime 13 or higher. Just draw the cutoff there and leave out the second n and all primes higher than it.
-# Avoid having any "dual-n" where n is a prime 17 or higher. Just draw the cutoff there and leave out n and all primes higher than it.
-^Use your own discretion when deciding how strict or lenient to set this value on a per-edo basis. For example if an edo has an audible 17/1, don't leave it out just because a rule says to, or if it has an inaudible 11/1 that just scrapes over the line, don't include it just because a rule says to. Each edo is its own unique and wild creature, use your own discretion and bend these rules to fit the edo, not the other way around.
+=== EDOs with 1 to 6 tones/octave ===
+# The subgroup should have 3 [[basis element]]s
+# If the EDO approximates 3 or more [[prime]]s 11 or lower within 15 [[cents]], then choose the best 3 and use those as its subgroup
+# If it approximates less than 3 such primes, then include all the ones it does approximate, and fill the remaining spots with odd harmonics smaller than 40 that it approximates within 15 cents (giving preference to the lowest harmonics first)
+# If there are aren't enough of those to fill all 3 spots, fill the remaining spots witg [[taxicab distance|taxicab-2]] intervals the edo approximates within 15 cents, giving preference to intervals with small primes and intervals that are approximated more precisely (use direction to decide which to value more on an edo-by-edo basis)
+# If there are still spots left open, fill them with the smallest composite harmonics of any size that are approximated within 15 cents
-== Subgroups by EDO size (less dimensions) ==
+=== EDOs with 7 to 12 tones/octave ===
+# The subgroup should have 5 basis elements
+# If the EDO approximates any primes 11 or lower within 15 cents, then add all of those to its subgroup
+# If there are still spots left over, and the EDO does not approximate prime 3, then check if it approximates any harmonics 6, 9, 12 or 15 within 15 cents. If so, add them all to the subgroup starting with the smallest until all spots are filled or all harmonics have been added.
+# If there are still spots left over, if the EDO does not approximate one ir both of 5 or 3, check if it approximates 5/3 within 15 cents and if so, add that as a basis element
+# If there are still spots left over, if the EDO does not approximate one or both of 7 or 3, check if it approximates 7/3 within 15 cents and if so, add that as a basis element
+# If there are still spots left over, if the EDO does not approximate one or both of 7 or 5, check if it approximates 7/5 within 15 cents and if so, add that as a basis element
+# Do the same as above for 11/3, then 11/5, then 11/7
+# If there are still spots left over, check if the EDO approximates any primes 13, 17, 19 or 23 within 15 cents, if so, then add all of those to its subgroup giving preference to the lowest ones and to the ones approximated most closely (use discretion to choose which of those things to weight more heavily) until all spots have been filled or all primes have been added
+# If there are still spots left open, choose either (A) or (B) at your discretion on an edo-by-edo basis, or combine both for edos where that makes sense:
+# (A) fill the remaining spots with odd harmonics smaller than 40 that it the edo approximates within 15 cents (giving preference to harmonics that are multiples of simple harmonics like 21 or 33)
+# (B) fill the remaining spots with [[taxicab distance|taxicab-2]] intervals the edo approximates within 15 cents, giving preference to intervals with small primes and intervals that are approximated more precisely (use direction to decide which to value more on an edo-by-edo basis)
+# If there are still spots left open, fill them with the smallest remaining integer harmonics of any size that are approximated within 15 cents
+=== EDOs with 13 to 27 tones/octave ===
+# The subgroup should have 6 basis elements
+# If the EDO approximates any primes 13 or lower within 15 cents, then add all of those to its subgroup
+# If there are still spots left over, and the EDO does not approximate prime 3, then check if it approximates any harmonics 6, 9, 12 or 15 within 15 cents. If so, add them all to the subgroup starting with the smallest until all spots are filled or all harmonics have been added.
+# If there are still spots left over, if the EDO does not approximate one ir both of 5 or 3, check if it approximates 5/3 within 15 cents and if so, add that as a basis element
+# If there are still spots left over, if the EDO does not approximate one or both of 7 or 3, check if it approximates 7/3 within 15 cents and if so, add that as a basis element
+# If there are still spots left over, if the EDO does not approximate one or both of 7 or 5, check if it approximates 7/5 within 15 cents and if so, add that as a basis element
+# Do the same as above for 11/3, then 11/5, then 11/7, then 13/3, then 13/5, then 13/7, then 13/11
+# If there are still spots left over, check if the EDO approximates any primes 17, 19 or 23 within 15 cents, if so, then add all of those to its subgroup giving preference to the lowest ones and to the ones approximated most closely (use discretion to choose which of those things to weight more heavily) until all spots have been filled or all primes have been added
+# If there are still spots left open, choose either (A) or (B) at your discretion on an edo-by-edo basis, or combine both for edos where that makes sense:
+# (A) fill the remaining spots with odd harmonics smaller than 40 that it the edo approximates within 15 cents (giving preference to harmonics that are multiples of simple harmonics like 21 or 33)
+# (B) fill the remaining spots with [[taxicab distance|taxicab-2]] intervals the edo approximates within 15 cents, giving preference to intervals with small primes and intervals that are approximated more precisely (use direction to decide which to value more on an edo-by-edo basis)
+# If there are still spots left open, fill them with the smallest remaining integer harmonics of any size that are approximated within 15 cents
+=== EDOs with 28 to 52 tones/octave ===
+# The subgroup should have 7 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 2 dual-primes, then only the two 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 53 or more 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 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
+== Subgroups by EDO size ==
 Size categories taken from my [[human EDO size categorization]] (HUECAT).
+=== Picnic EDOs (1-4) ===
+* [[1edo]]: 2.125.127 (comp)
+* [[2edo]]: 2.7/5.17/3 (nth-b) (15th)
+* [[3edo]]: 2.5.17/3 (nth-b) (3rd)
+* [[4edo]]: 2.5/3.7/5 (nth-b) (15th)
 === Birthday EDOs (5-19) ===
@@ Line 35: / Line 81: @@
 * [[6edo]]: 2.9.5 (comp)
 * [[7edo]]: 2.3.11/3.11/5.13 (nth-b) (15th)
-* [[8edo]]: 2.11/3.13/5.19 (nth-b) (15th)
+* [[8edo]]: 2.5/3.11/3.13/5.19 (nth-b) (15th)
-* [[9edo]]: 2.5.7/3.11 (nth-b) (3rd)
+* [[9edo]]: 2.5.7/3.11.13/7 (nth-b) (3rd)
-* [[10edo]]: 2.3.7.13 (no-n)
+* [[10edo]]: 2.3.7.13.17 (no-n)
 * [[11edo]]: 2.9.15.7.11 (comp)
-* [[12edo]]: 2.3.5 (lim)
+* [[12edo]]: 2.3.5.17.19 (no-n)
-* [[13edo]]: 2.9.5.11.13 (comp)
+* [[13edo]]: 2.9.5.11.13.17 (comp)
 * [[14edo]]: 2.3.7/5.9/5.11/5.13 (nth-b) (5th)
 * [[15edo]]: 2.3.5.7.11 (lim)
-* [[16edo]]: 2.5.7.13 (no-n)
+* [[16edo]]: 2.5.7.13.19 (no-n)
 * [[17edo]]: 2.3.7.11.13 (no-n)
 * [[18edo]]: 2.9.5.7/3.11 (nth-b) (3rd)
@@ Line 49: / Line 95: @@
 === Carousel EDOs (20-34) ===
-* [[20edo]]: 2.3.7.11.13 (no-n)
+* [[20edo]]: 2.3.7.11.13.17 (no-n)
-* [[21edo]]: 2.3.5.7.13 (no-n)
+* [[21edo]]: 2.3.5.7.13.17 (no-n)
-* [[22edo]]: 2.3.5.7.11 (lim)
+* [[22edo]]: 2.3.5.7.11.17 (no-n)
 * [[23edo]]: 2.9.15.21.33.13 (comp)
 * [[24edo]]: 2.3.5.7.11.13 (lim)
-* [[25edo]]: 2.3.5.7.17 (no-n)
+* [[25edo]]: 2.3.5.7.17.19 (no-n)
 * [[26edo]]: 2.3.5.7.11.13 (lim)
 * [[27edo]]: 2.3.5.7.11.13 (lim)
-* [[28edo]]: 2.3.5.7.11.13 (lim)
+* [[28edo]]: 2.3.5.7.11.13.19 (no-n)
-* [[29edo]]: 2.3.5.7.11.13 (lim)
+* [[29edo]]: 2.3.5.7.11.13.19 (no-n)
-* [[30edo]]: 2.3+.3-.5.7.11 (dual)
+* [[30edo]]: 2.3+.3-.5.7.11.13 (dual)
-* [[31edo]]: 2.3.5.7.11.13 (lim)
+* [[31edo]]: 2.3.5.7.11.13.17 (lim)
-* [[32edo]]: 2.3.5.7.11.13 (lim)
+* [[32edo]]: 2.3.5.7.11.17.19 (no-n)
-* [[33edo]]: 2.3.5.7.11.13 (lim)
+* [[33edo]]: 2.3.5.7.11.13.17 (lim)
-* [[34edo]]: 2.3.5.7+.7-.11 (dual)
+* [[34edo]]: 2.3.5.7+.7-.11.13 (dual)
 === Schoolbus EDOs (35-54) ===
-* [[35edo]]: 2.3+.3-.5.7.11 (dual)
+* [[35edo]]: 2.3+.3-.5.7.11.17 (dual)
 * [[36edo]]: 2.3.5+.5-.7.11+.11- (dual)
-* [[37edo]]: 2.3.5.7.11.13 (lim)
+* [[37edo]]: 2.3.5.7.11.13.17 (lim)
-* [[38edo]]: 2.3.5.7.11+.11- (dual)
+* [[38edo]]: 2.3.5.7.11+.11-.13 (dual)
 * [[39edo]]: 2.3.5+.5-.7+.7-.11 (dual)
-* [[40edo]]: 2.3+.3-.5.7.11 (dual)
+* [[40edo]]: 2.3+.3-.5.7.11.13 (dual)
-* [[41edo]]: 2.3.5.7.11.13 (lim)
+* [[41edo]]: 2.3.5.7.11.13.17 (lim)
 * [[42edo]]: 2.3+.3-.5+.5-.7.11 (dual)
-* [[43edo]]: 2.3.5.7.11.13 (lim)
+* [[43edo]]: 2.3.5.7.11.13.17 (lim)
-* [[44edo]]: 2.3.5.7+.7-.11 (dual)
+* [[44edo]]: 2.3.5.7+.7-.11.13 (dual)
-* [[45edo]]: 2.3.5+.5-.7.11 (dual)
+* [[45edo]]: 2.3.5+.5-.7.11.17 (dual)
-* [[46edo]]: 2.3.5.7.11.13 (lim)
+* [[46edo]]: 2.3.5.7.11.13.17 (lim)
 * [[47edo]]: 2.3+.3-.5.7.11+.11- (dual)
-* [[48edo]]: 2.3.5+.5-.7.11 (dual)
+* [[48edo]]: 2.3.5+.5-.7.11.13 (dual)
 * [[49edo]]: 2.3.5.7+.7-.11+.11- (dual)
-* [[50edo]]: 2.3.5.7.11.13 (lim)
+* [[50edo]]: 2.3.5.7.11.13.17 (lim)
 * [[51edo]]: 2.3.5+.5-.7.11+.11- (dual)
-* [[52edo]]: 2.3+.3-.5.7.11 (dual)
+* [[52edo]]: 2.3+.3-.5.7.11.19 (dual)
-* [[53edo]]: 2.3.5.7.11.13 (lim)
+* [[53edo]]: 2.3.5.7.11.13.17.19 (lim)
 * [[54edo]]: 2.3+.3-.5+.5-.7+.7-.11 (dual)
-=== Double-decker EDOs (55-74) ===
-''(May complete later.)''
-== Subgroups by EDO size (more dimensions) ==
-=== Birthday EDOs (5-19) ===
-* [[5edo]]: 2.3.7 (no-n)
-* [[6edo]]: 2.9.5 (comp)
-* [[7edo]]: 2.3.11/3.11/5.13 (nth-b) (15th)
-* [[8edo]]: 2.11/3.13/5.19 (nth-b) (15th)
-* [[9edo]]: 2.5.7/3.11 (nth-b) (3rd)
-* [[10edo]]: 2.3.7.13.17 (no-n)
-* [[11edo]]: 2.9.15.7.11.17 (comp)
-* [[12edo]]: 2.3.5.17.19 (no-n)
-* [[13edo]]: 2.9.5.11.13.17 (comp)
-* [[14edo]]: 2.3.7/5.9/5.11/5.13 (nth-b) (5th)
-* [[15edo]]: 2.3.5.7.11 (lim)
-* [[16edo]]: 2.5.7.13.19 (no-n)
-* [[17edo]]: 2.3.7.11.13 (no-n)
-* [[18edo]]: 2.9.5.7/3.11 (nth-b) (3rd)
-* [[19edo]]: full [[43-limit]] (lim)
-=== Carousel EDOs (20-34) ===
-* [[20edo]]: 2.3.7.11.13.17.19 (no-n)
-* [[21edo]]: 2.3.5.7.13.17.19.23.29.31 (no-n)
-* [[22edo]]: 2.3.5.7.11.17 (no-n)
-* [[23edo]]: [[59-limit]] but with 3.5.7.11 removed and 9.15.21.33 added (comp)
-* [[24edo]]: 2.3.5.7.11.13.17.19 (lim)
-* [[25edo]]: 2.3.5.7.17.19.23 (no-n)
-* [[26edo]]: 2.3.5.7.11.13.17 (lim)
-* [[27edo]]: 2.3.5.7.11.13.17.19.23.29.31 (lim)
-* [[28edo]]: no-17 [[43-limit]] (no-n)
-* [[29edo]]: 2.3.5.7.11.13.19.23.29.31.37 (no-n)
-* [[30edo]]: 2.3+.3-.5.7.11.13.17 (dual)
-* [[31edo]]: 2.3.5.7.11.13.17.19.23 (lim)
-* [[32edo]]: 2.3.5.7.11.13.17.19.23 (lim)
-* [[33edo]]: 2.3.5.7.11.13.17.19.23.29 (lim)
-* [[34edo]]: 2.3.5.7+.7-.11.13.17 (dual)
-=== Schoolbus EDOs (35-54) ===
-* [[35edo]]: 2.3+.3-.5.7.11.17 (dual)
-* [[36edo]]: dual-5 dual-11 [[29-limit]] (dual)
-* [[37edo]]: full [[43-limit]] (lim)
-* [[38edo]]: 2.3.5.7.11+.11-.13.17 (dual)
-* [[39edo]]: 2.3.5+.5-.7+.7-.11.13 (dual)
-* [[40edo]]: 2.3+.3-.5.7.11.13 (dual)
-* [[41edo]]: 2.3.5.7.11.13.17.19 (lim)
-* [[42edo]]: 2.3+.3-.5+.5-.7.11.13+.13- (dual)
-* [[43edo]]: 2.3.5.7.11.13.17.19 (lim)
-* [[44edo]]: dual-7 [[43-limit]] (dual)
-* [[45edo]]: 2.3.5+.5-.7.11.13+.13-.17.19 (dual)
-* [[46edo]]: 2.3.5.7.11.13.17 (lim)
-* [[47edo]]: 2.3+.3-.5.7.11+.11-.13.17.19 (dual)
-* [[48edo]]: dual-5 [[41-limit]] (dual)
-* [[49edo]]: dual-7 dual-11 [[37-limit]] (dual)
-* [[50edo]]: 2.3.5.7.11.13.17.19.23.29.31 (lim)
-* [[51edo]]: 2.3.5+.5-.7.11+.11-.13 (dual)
-* [[52edo]]: 2.3+.3-.5.7.11.13+.13- (dual)
-* [[53edo]]: 2.3.5.7.11.13.17.19.23 (lim)
-* [[54edo]]: 2.3+.3-.5+.5-.7+.7-.11.13.17 (dual)
 === Double-decker EDOs (55-74) ===
@@ Line 152: / Line 137: @@
 == Subgroups by subgroup type ==
-(This list uses the complex high-dimension versions.)
 === Full prime limit ===
 * [[15edo]]: 2.3.5.7.11 (lim)
-* [[19edo]]: full [[43-limit]] (lim)
+* [[19edo]]: 2.3.5.7.11.13 (lim)
-* [[24edo]]: 2.3.5.7.11.13.17.19 (lim)
+* [[24edo]]: 2.3.5.7.11.13 (lim)
-* [[26edo]]: 2.3.5.7.11.13.17 (lim)
+* [[26edo]]: 2.3.5.7.11.13 (lim)
-* [[27edo]]: 2.3.5.7.11.13.17.19.23.29.31 (lim)
+* [[27edo]]: 2.3.5.7.11.13 (lim)
-* [[31edo]]: 2.3.5.7.11.13.17.19.23 (lim)
+* [[31edo]]: 2.3.5.7.11.13.17 (lim)
-* [[32edo]]: 2.3.5.7.11.13.17.19.23 (lim)
+* [[33edo]]: 2.3.5.7.11.13.17 (lim)
-* [[33edo]]: 2.3.5.7.11.13.17.19.23.29 (lim)
+* [[37edo]]: 2.3.5.7.11.13.17 (lim)
-* [[37edo]]: full [[43-limit]] (lim)
+* [[41edo]]: 2.3.5.7.11.13.17 (lim)
-* [[41edo]]: 2.3.5.7.11.13.17.19 (lim)
+* [[43edo]]: 2.3.5.7.11.13.17 (lim)
-* [[43edo]]: 2.3.5.7.11.13.17.19 (lim)
 * [[46edo]]: 2.3.5.7.11.13.17 (lim)
-* [[50edo]]: 2.3.5.7.11.13.17.19.23.29.31 (lim)
+* [[50edo]]: 2.3.5.7.11.13.17 (lim)
-* [[53edo]]: 2.3.5.7.11.13.17.19.23 (lim)
+* [[53edo]]: 2.3.5.7.11.13.17.19 (lim)
 === No-n ===
 * [[5edo]]: 2.3.7 (no-n)
-* [[9edo]]: 2.5.11 (no-n)
 * [[10edo]]: 2.3.7.13.17 (no-n)
 * [[12edo]]: 2.3.5.17.19 (no-n)
 * [[16edo]]: 2.5.7.13.19 (no-n)
 * [[17edo]]: 2.3.7.11.13 (no-n)
-* [[20edo]]: 2.3.7.11.13.17.19 (no-n)
+* [[20edo]]: 2.3.7.11.13.17 (no-n)
-* [[21edo]]: 2.3.5.7.13.17.19.23.29.31 (no-n)
+* [[21edo]]: 2.3.5.7.13.17 (no-n)
+* [[25edo]]: 2.3.5.7.17.19 (no-n)
 * [[22edo]]: 2.3.5.7.11.17 (no-n)
-* [[25edo]]: 2.3.5.7.17.19.23 (no-n)
+* [[28edo]]: 2.3.5.7.11.13.19 (no-n)
-* [[28edo]]: no-17 [[43-limit]] (no-n)
+* [[29edo]]: 2.3.5.7.11.13.19 (no-n)
-* [[29edo]]: 2.3.5.7.11.13.19.23.29.31.37 (no-n)
+* [[32edo]]: 2.3.5.7.11.17.19 (no-n)
 === Dual-n ===
-* [[30edo]]: 2.3+.3-.5.7.11.13.17 (dual)
+* [[30edo]]: 2.3+.3-.5.7.11.13 (dual)
-* [[34edo]]: 2.3.5.7+.7-.11.13.17 (dual)
+* [[34edo]]: 2.3.5.7+.7-.11.13 (dual)
 * [[35edo]]: 2.3+.3-.5.7.11.17 (dual)
-* [[36edo]]: dual-5 dual-11 [[29-limit]] (dual)
+* [[36edo]]: 2.3.5+.5-.7.11+.11- (dual)
-* [[38edo]]: 2.3.5.7.11+.11-.13.17 (dual)
+* [[38edo]]: 2.3.5.7.11+.11-.13 (dual)
-* [[39edo]]: 2.3.5+.5-.7+.7-.11.13 (dual)
+* [[39edo]]: 2.3.5+.5-.7+.7-.11 (dual)
 * [[40edo]]: 2.3+.3-.5.7.11.13 (dual)
-* [[42edo]]: 2.3+.3-.5+.5-.7.11.13+.13- (dual)
+* [[42edo]]: 2.3+.3-.5+.5-.7.11 (dual)
-* [[44edo]]: dual-7 [[43-limit]] (dual)
+* [[44edo]]: 2.3.5.7+.7-.11.13 (dual)
-* [[45edo]]: 2.3.5+.5-.7.11.13+.13-.17.19 (dual)
+* [[45edo]]: 2.3.5+.5-.7.11.17 (dual)
-* [[47edo]]: 2.3+.3-.5.7.11+.11-.13.17.19 (dual)
+* [[47edo]]: 2.3+.3-.5.7.11+.11- (dual)
-* [[48edo]]: dual-5 [[41-limit]] (dual)
+* [[48edo]]: 2.3.5+.5-.7.11.13 (dual)
-* [[49edo]]: dual-7 dual-11 [[37-limit]] (dual)
+* [[49edo]]: 2.3.5.7+.7-.11+.11- (dual)
-* [[51edo]]: 2.3.5+.5-.7.11+.11-.13 (dual)
+* [[51edo]]: 2.3.5+.5-.7.11+.11- (dual)
-* [[52edo]]: 2.3+.3-.5.7.11.13+.13- (dual)
+* [[52edo]]: 2.3+.3-.5.7.11.19 (dual)
-* [[54edo]]: 2.3+.3-.5+.5-.7+.7-.11.13.17 (dual)
+* [[54edo]]: 2.3+.3-.5+.5-.7+.7-.11 (dual)
 === Equalizer ===
@@ Line 207: / Line 190: @@
 === Other composite ===
 * [[6edo]]: 2.9.5 (comp)
-* [[11edo]]: 2.9.15.7.11.17 (comp)
+* [[11edo]]: 2.9.15.7.11 (comp)
 * [[13edo]]: 2.9.5.11.13.17 (comp)
-* [[23edo]]: [[59-limit]] but with 3.5.7.11 removed and 9.15.21.33 added (comp)
+* [[23edo]]: 2.9.15.21.33.13 (comp)
 === Nth-basis ===
-Interestingly, all of these can be seen as 15th-basis. It might just be because in EDOs 2 is always pure, and 3 and 5 are the next simplest harmonics, so it just makes sense for them to show up as simple subgroup denominators.
 * [[7edo]]: 2.3.11/3.11/5.13 (nth-b) (15th)
 * [[8edo]]: 2.11/3.13/5.19 (nth-b) (15th)

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