ED5
Division of the Fifth Harmonic (5/1) into n equal parts
The fifth harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~4.8 pentaves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with pentave equivalence, this fact shapes one's musical approach dramatically. Following this, the quintessential example of a pentave based tuning is hyperpyth (see 17ed5). However, perhaps the more common reason to use these scales is in approximation with lower harmonic factors than 5. This approach is highlighted by Hieronymus (20ed5) which itself is a zeta peak tuning (not "no-fives", full on zeta). Other reasons for taking the nth root of 5 include finding temperaments like orwell, meantone, and thuja. This approach can of course be used indiscriminately.
- 3ed5 orwell generator (with octaves)
- 4ed5 meantone generator (with octaves)
- 6ed5 uncle generator (with octaves)
- 14ed5 compare 6edo
- 16ed5 compare 7edo
19ed5 compare Bohlen-Pierce
20ed5 (Hieronymus Tuning)
21ed5 compare 9edo
23ed5 compare 10edo
25ed5 (Stockhausen, McLaren)
30ed5 compare 13edo
37ed5 compare 16edo
38ed5 compare 26edt
56ed5 compare 24edo