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)
- 5ed5 : thuja generator (with octaves)
- 6ed5 : uncle generator (with octaves)
- 7ed5 compare 3edo
- 8ed5
- 9ed5
- 10ed5
- 11ed5
- 12ed5
- 13ed5
- 14ed5 compare 6edo
- 15ed5
- 16ed5 compare 7edo
- 17ed5
- 18ed5
- 19ed5 compare Bohlen-Pierce
- 20ed5 (Hieronymus Tuning)
- 21ed5 compare 9edo
- 22ed5
- 23ed5 compare 10edo
- 24ed5
- 25ed5 (Stockhausen, McLaren)
- 26ed5
- 27ed5
- 28ed5 compare 12edo
- 29ed5
- 30ed5 compare 13edo
- 31ed5
- 32ed5 compare 14edo
- 33ed5
- 34ed5
- 35ed5 compare 15edo
- 36ed5
- 37ed5 compare 16edo
- 38ed5 compare 26edt
- 39ed5
- 40ed5
- 41ed5
- 42ed5
- 43ed5
- 44ed5 compare 19edo
- 45ed5
- 46ed5
- 47ed5
- 48ed5
- 49ed5
- 50ed5
- 51ed5 compare 22edo
- 52ed5
- 53ed5
- 54ed5
- 55ed5
- 56ed5 compare 24edo
- 57ed5 compare 39edt
- 58ed5 compare 25edo
- 59ed5
- 60ed5
- 61ed5
- 62ed5
- 63ed5
- 64ed5
- 65ed5
- 66ed5
- 67ed5
- 68ed5
- 69ed5
- 70ed5
- 71ed5
- 72ed5
- 73ed5
- 74ed5
- 75ed5
- 76ed5
- 77ed5
- 78ed5
- 79ed5
- 80ed5
- 81ed5
- 82ed5
- 83ed5
- 84ed5
- 85ed5
- 86ed5
- 87ed5
- 88ed5
- 89ed5
- 90ed5
- 91ed5
- 92ed5
- 93ed5
- 94ed5
- 95ed5
- 96ed5
- 97ed5
- 98ed5
- 99ed5
- 100ed5